Tier III · Jesus and the resurrection
Did Jesus rise from the dead?
Not “the Gospels say so”, but: what do the earliest sources show, which explanation fits them best, and by how much? We score every explanation we know of, including the strongest sceptical one.
The short version
- The core data do not depend on trusting the Gospels.
Paul’s own letters, written about 20 years after the crucifixion, pass on a list of appearance witnesses that critical scholars date to within about 2-5 years of it. Paul had met two of those witnesses in person.
The evidence ↓ - Two more facts are probable but genuinely disputed.
The burial in a known tomb and the women finding it empty. We include them at a modest weight and show what happens without them.
The evidence ↓ - Every explanation, scored against every fact.
Legend, theft, the wrong tomb, swoon and the rest each fail several well-established facts. The real contest is the resurrection against Dale Allison’s careful combination: grief visions, an end-of-the-age reading of them, and social spread.
The matrix ↓ - How strong: about 500 to 1, with a wide range.
The data are about 500 times more probable if Jesus rose than on the best natural mixture, if our judgement calls are independent; if they move together, as one reader’s usually do, about 70-450. At the sceptical end of our own ranges the factor falls below 1; at the apologist end it reaches 107. Not 1044.
The sensitivity ↓ - Your prior decides it, and the prior comes from Tier I.
If there is no God, no evidence can make this probable. If a God of the theist’s kind is reasonably likely, a factor of 500 makes the resurrection more probable than not. The reverse step is weak: even granted in full, the history does far less for the existence of God than for the event.
Why the prior decides ↓
The question
Here is what is tested. Call the data about Jesus’ death and its aftermath E. Is E better explained by R, that God raised Jesus bodily from the dead and he appeared to his followers, or by the best natural alternative, not-R? Not-R is not one hypothesis. It is a mixture of every natural explanation anyone has proposed, each with the weight its own plausibility earns.
We assume nothing about inspiration. The Gospels and Acts are treated as ancient sources of varying reliability (III.1 weighs them). The primary evidence is Paul’s undisputed letters, 1 Corinthians and Galatians, written about AD 48-55.
Two terms. A likelihood ratio (LR) is how many times more probable the data are on one hypothesis than on the other: 1 means the data do not discriminate, above 1 favours R, below 1 favours not-R. A prior is how probable a hypothesis was before looking at these data.
All 12 hypotheses, their proponents and what each predictstable · 12 rows
| Code | Hypothesis | Main proponents | What it predicts |
|---|---|---|---|
| R | God raised Jesus bodily; he appeared to individuals and groups | Wright; Habermas & Licona; Licona; McGrew & McGrew; Swinburne | appearances to individuals and groups, including outsiders (James, Paul); an empty tomb; bodily language; rapid, confident proclamation in Jerusalem |
| H1 | Individual hallucinations or visions (grief, guilt) | Lüdemann; Goulder | visions to individuals, Peter first; group claims later or derivative |
| H2 | Group hallucination or collective vision | Lüdemann; Allison discusses collective apparitions | shared claims among excited groups; vague content |
| H3 | Allison’s careful reading: bereavement visions + an apocalyptic frame + social spread (+ a tomb empty or unknown) | Allison 2005, 2021. He himself believes; he offers this as the version a historian cannot exclude | what H1 and H2 predict, plus the “resurrection” category from end-time expectation, and visionary features in the stories |
| L | Legend: the appearances and the empty tomb grew over decades | Strauss; Bultmann; Price & Lowder (eds.) | late, detailed stories; no early creed with named witnesses |
| C | Conspiracy or lie: the disciples stole the body or invented the claim | Reimarus; the counter-claim reported in Matt 28:13 | an empty tomb; a story that collapses under pressure; no willingness to suffer for it |
| T | Third-party removal or reburial (Joseph moved the body; a gardener; grave robbers) | Klausner; Lowder | an empty tomb; no appearances (needs H1-H3 for those) |
| WT | The women went to the wrong tomb | Lake | an empty-tomb report; no appearances |
| S | Swoon: Jesus survived crucifixion | Paulus; Venturini; later the Ahmadiyya | a wounded, living Jesus; pity, not worship |
| Sub | Someone else died, or a twin appeared | a reading of Qur’an 4:157; Cavin (twin, as a logical possibility) | appearances of a real living man |
| CD | Cognitive dissonance: belief hardened after disconfirmation | Festinger et al. (general); applied by others | persistence and preaching, but not the origin of a new resurrection claim |
| Comb | Combinations, e.g. H3 + removal, or H3 + an unknown burial site | Allison considers; Carrier | everything, at the cost of joint improbability and ad hoc parts |
Rules of evidence
These were fixed before any scoring.
- Three tiers of data. Tier A, established: affirmed by the large majority of critical scholars, including non-Christians, and supported by Paul’s own letters or by non-Christian sources. Tier B, probable: majority support, with serious dissent by named scholars. Tier C, Gospel-only detail (touching, eating, the guard): never used in the core case, because R would then be partly assumed through the reliability of the very stories in question.
- Predicting is not accommodating. A hypothesis predicts a fact if it would make it likely before seeing it. If it fits only after an extra assumption, that assumption is scored for its own improbability. This applies to R too: the probability that a persecutor converts, given R, is not 1.
- Dependence. Facts that flow from one underlying event (the disciples’ belief, their preaching, their suffering, their worship of Jesus) share one factor, not one each. Thirteen disciples who talked to each other are one group report with some internal confirmation, not thirteen independent witnesses.
- The null space counts. What a cherry-picker would leave out is scored as evidence, with a factor below 1 where it fits not-R better: no appearance to opponents or the public, visionary features in the stories, divergent narratives, visible legendary growth, and parallel claims in other movements.
- Consensus is evidence about the evidence, not evidence. Head-counts of scholars are reported, but they do not enter the calculation.
- The prior is kept separate. The probability of R before these data is P(God) × P(God raises this man | God). Hume’s maxim is honoured as a statement about the prior, not used as a veto.
- Excluded: the Shroud of Turin (see the appendix), later martyr legends after about AD 150, and personal religious experience.
The evidence
What you can trust without trusting the Gospels
Jesus was crucified under Pontius Pilate. All four Gospels and Paul say so, and so does the Roman historian Tacitus, writing about AD 116, who calls the movement a “superstition”.1 Josephus mentions Jesus’ execution too, in a passage whose core is probably authentic but which a Christian copyist expanded.2 No serious historian doubts the crucifixion.
The key text is a tradition Paul passed on to the church in Corinth around AD 53-55:
“For I delivered to you first of all that which I also received: that Christ died for our sins according to the Scriptures, that he was buried, that he was raised on the third day according to the Scriptures, and that he appeared to Cephas, then to the twelve. Then he appeared to over five hundred brothers at once, most of whom remain until now, but some have also fallen asleep. Then he appeared to James, then to all the apostles, and last of all, as to the child born at the wrong time, he appeared to me also.”1 Corinthians 15:3-8, WEB3
“Delivered” and “received” are the technical terms for handing on a fixed tradition. Paul received it before he founded the Corinthian church, and he tells us where he could check it:
“Then after three years I went up to Jerusalem to visit Peter, and stayed with him fifteen days. But of the other apostles I saw no one except James, the Lord’s brother.”Galatians 1:18-19, WEB
Peter (Cephas) and James are both named in the list. And Paul says his message is theirs: “Whether then it is I or they, so we preach, and so you believed” (1 Corinthians 15:11, WEB). Critical scholars, including the atheist New Testament scholar Gerd Lüdemann, date the tradition to within a few years of the crucifixion.4 Bart Ehrman treats it as early pre-Pauline tradition and accepts that some followers had visions and believed Jesus raised soon after his death.5
The claim that Jesus appeared to named individuals and groups goes back to the first few years. That defeats “a legend that grew over decades” for the core claim. It does not show what the experiences were, and it does not make the Gospels’ later details (touching, eating) equally early. Allison puts it exactly: the passage “is not a list of bare, objective facts but an interpretation of half a dozen experiences.”6
The full data table: 10 facts and 5 facts against, with sources and statustable · 15 rows
| # | Claim | Main sources | Status |
|---|---|---|---|
| D1 | Jesus died by Roman crucifixion under Pilate | all four Gospels; 1 Cor 2:2, 15:3; Tacitus, Annals 15.44; Josephus, Ant. 18.63-64 | Established |
| D2 | He was buried; Joseph of Arimathea laid him in a known rock tomb | 1 Cor 15:4 (“he was buried”); Mark 15:42-46; Matthew, Luke, John | Established that the earliest tradition says so; Probable (0.6-0.8) for the known tomb |
| D3 | Women found the tomb empty on the Sunday | Mark 16:1-8; Matt 28; Luke 24; John 20; Paul’s “buried … raised” implies the body but he names no tomb | Contested; probability 0.5-0.75 |
| D4 | Peter had an experience he took to be Jesus appearing alive | 1 Cor 15:5; Luke 24:34 | Established |
| D5 | Groups claimed appearances: “the twelve”, “over five hundred”, “all the apostles” | 1 Cor 15:5-7; Gospel group scenes | Established that groups claimed it; the nature of the experiences is contested |
| D6 | James, Jesus’ brother, not a follower during the ministry, saw an appearance, led the Jerusalem church, and was killed c. AD 62 | 1 Cor 15:7; Gal 1:19, 2:9; John 7:5; Josephus, Ant. 20.200 | Established (appearance, leadership); Probable (prior unbelief) |
| D7 | Paul, a persecutor, converted through what he took to be seeing the risen Jesus | Gal 1:13-16; 1 Cor 9:1; 15:8-9; Phil 3:6; Acts 9, 22, 26 | Established |
| D8 | The 1 Cor 15:3-7 tradition was formed within a few years | “delivered … received”; Gal 1:18, 2:1-9 | Established that it is pre-Pauline; the exact date is Inference |
| D9 | The witnesses were sincere and endured hardship | Gal 1:13, 23; 2 Cor 11:23-28; Acts 12:2; Josephus on James; 1 Clement 5 | Established for sincerity; individual deaths graded (see below) |
| D10 | Jesus was worshipped very early, inside Jewish monotheism | 1 Cor 16:22 (marana tha, “Come, Lord!”); Phil 2:6-11; 1 Cor 8:6 | Established |
| N1 | No appearance to Pilate, Caiaphas or the public; the outsiders are James (family) and Paul | 1 Cor 15:5-8; Acts 10:40-41 | Established; counts against R |
| N2 | Visionary features: sudden appearing and vanishing, non-recognition, doubt; Paul lists his own experience, a “revelation”, with the others | Luke 24:16, 31, 36; John 20:14, 19; Matt 28:17; 1 Cor 15:8, 44; Gal 1:16 | Established; counts against R |
| N3 | The narratives diverge: Galilee or Jerusalem appearances; the number of women and angels; Mark’s original ending has no appearance | the four Gospels; Mark 16:8 | Established; counts against R |
| N4 | Legend visible in later layers: saints raised at the crucifixion, the guard, the Gospel of Peter’s giant figures and talking cross | Matt 27:52-53; Gospel of Peter (2nd century) | Established; counts against R |
| N5 | Paul never mentions an empty tomb or a woman witness | 1 Cor 15 | Established; its meaning is debated |
Timeline, AD 30-160: how close the sources sit to the eventstable · 10 rows
| Date (AD) | Event or text |
|---|---|
| 30 or 33 | The crucifixion |
| c. 31-36 | Paul’s conversion; the creed of 1 Cor 15:3-7 takes shape in this window |
| c. 34-37 | Paul spends fifteen days with Peter in Jerusalem and meets James (Gal 1:18-19) |
| c. 48-55 | Galatians and 1 Corinthians written |
| 62 | James stoned at the instigation of the high priest Ananus (Josephus, Ant. 20.200) |
| c. 70 | Mark |
| c. 80-90 | Matthew and Luke |
| c. 90-100 | John |
| 2nd century | The Gospel of Peter (visible legend: giant figures, a talking cross) |
| c. 160 | Justin, Dialogue with Trypho 108, repeats the “disciples stole him” counter-claim |
Burial and the empty tomb: probable, and disputed
The doubters. John Dominic Crossan argues that crucified bodies were usually left to scavengers or put in common graves, so the burial story is a later hope.7 Ehrman argues that Jesus probably did not receive a decent burial from Joseph, an otherwise unknown figure.5
The replies. Craig Evans points to Deuteronomy 21:23 (“you shall surely bury him the same day”), to Josephus on Jews burying the crucified before sunset, and to the ossuary of a crucified man found in Jerusalem in 1968, which shows that a crucified Jew could receive family burial.8, 2 Jodi Magness holds that the Gospel burial accounts are largely consistent with the archaeology and with Jewish law.9 Allison, no apologist, argues for a proper burial and accepts Joseph’s involvement.6 In his 2005 book he called the empty tomb historically likely only with great hesitation.10
Against the empty tomb. Peter Kirby argues that every empty-tomb report depends on Mark, that Mark’s account has fictional traits, that Paul is silent, and that Roman practice points away from a discovered tomb.11 Jeffery Jay Lowder proposes that Joseph stored the body temporarily and then moved it.12
For it. The claim was proclaimed in the city where the tomb was. All four Gospels make women the first witnesses, when women’s testimony carried less weight. And the earliest counter-claim, “Say that his disciples came by night and stole him away while we slept” (Matthew 28:13, WEB), presupposes an empty tomb; Justin repeats it about AD 160.13 That counter-claim reaches us through Matthew, not through a hostile document.
Little on its own. Even granted, an empty tomb is weak evidence by itself: removal and a legendary story are both live. Its force comes from combining it with the appearances. We give it a factor of 1.2 to 10. Dropping it entirely cuts the final likelihood ratio by about a factor of 3.14
The appearances, and the grief-vision data
Paul’s list has individual appearances (Cephas, James, Paul) and group appearances (the Twelve, more than five hundred “at once”, all the apostles). The Gospels add Mary Magdalene and the women, Emmaus, the Eleven, and the lakeside.
The strongest sceptical point is that seeing the dead is common. Among the widowed in mid-Wales, “almost half the people interviewed had hallucinations or illusions of the dead spouse”.15 In two nursing homes, 28 of 46 widows (61%) reported such experiences.16 A 2015 review puts the prevalence among the widowed “ranging from 30% to 60%”.17 A sceptic needs only one or two such experiences among Jesus’ close followers to start the process.
What these studies do not show: they are mostly experiences of presence or brief perceptions, by individuals, of a spouse, read as the dead person “still with me”. None reports bereaved people concluding that the dead had been raised bodily, in the end-of-the-age sense, or groups converging on one shared appearance. Allison, who has collected reports of collective apparitions, treats them as real data, which is why we do not claim that hallucinations are never collective. He also writes: “I know of no close phenomenological parallel to the series of likely events as a whole.”6
The three bereavement studiestable · 3 rows
| Study | Sample | Finding |
|---|---|---|
| Rees, BMJ 197115 | 227 widows and 66 widowers in mid-Wales (80.7% of all the widowed in the area) | “Almost half” had hallucinations or illusions of the dead spouse, often for years, rarely disclosed |
| Olson et al., J Am Geriatr Soc 198516 | 46 widows and 6 widowers, two nursing homes | 28 of 46 widows (61%) reported such experiences; 86% found them good or helpful |
| Castelnovo et al., J Affect Disord 2015 (review)17 | population and clinical studies | prevalence 30-60% among the widowed; small samples, no common method |
In our model these numbers set the chance that at least one close follower had a vivid experience of Jesus. We widen the per-person rate downward to 5-50%, because the studies cover spouses and include mere “presence”. With 5-15 close followers, the chance that at least one had such an experience has a median of 0.95. We grant the sceptic this step almost fully.
Paul and James: the two outsiders
Paul writes against his own interest: “beyond measure I persecuted the assembly of God and ravaged it” (Galatians 1:13, WEB), and “Haven’t I seen Jesus Christ, our Lord?” (1 Corinthians 9:1, WEB). But he describes his experience as God choosing “to reveal his Son in me” (Galatians 1:16, WEB), and in Acts there is light and a voice that his companions do not fully share. So Paul’s experience was visionary in form. That is why Lüdemann takes it as the model for all the appearances, and why apologists stress that a hostile persecutor is the least likely candidate for a grief vision. Both points are fair.
James. “For even his brothers didn’t believe in him” (John 7:5, WEB). Yet Jesus appeared to James (1 Corinthians 15:7), he became a leader of the Jerusalem church (Galatians 1:19; 2:9), and he was stoned about AD 62.2 The weak link: Paul says only that Jesus appeared to James, not that the appearance converted him. Family members joining a movement led by a dead relative is not unusual, and Acts 1:14 already places Jesus’ mother and brothers with the disciples.
Early worship and the cost of witness
Prayer to Jesus, hymns and the invocation of his name appear in Paul’s earliest letters. An Aramaic prayer, marana tha (“Come, Lord!”, 1 Corinthians 16:22), survives untranslated in a Greek letter. Larry Hurtado describes this devotion as a mutation inside Jewish monotheism, not a gradual pagan development, and Richard Bauckham argues Jesus was included in the identity of Israel’s God early.18, 19 This confirms that the Easter belief was extraordinary and immediate. But worship follows from the belief whether the belief was true or not, so it adds little: a factor of 1 to 2.
The witnesses suffered for their claim. Sean McDowell’s study of the apostles’ deaths grades each tradition rather than assuming them all. He concludes that their willingness to die “establishes their unmistakable sincerity”, and that the facts “prove neither the truth of the Resurrection in particular nor Christianity as a whole”.20 Suffering shows sincerity, not truth. It defeats the conspiracy hypothesis; it does nothing against the vision hypotheses.
McDowell’s grades for each apostle’s martyrdomtable · 5 rows
Scale from “not possibly true” (0-1) to “highest possible probability” (9-10), as McDowell summarises his book.20
| Apostle | Grade |
|---|---|
| Peter, Paul, James son of Zebedee, James brother of Jesus | highest possible probability (9-10) |
| Thomas | more probable than not (7) |
| Andrew | more plausible than not (6) |
| Philip, Bartholomew, Matthew, James son of Alphaeus, Thaddeus, Simon the Zealot, Matthias | as plausible as not (5) |
| John | improbable (3) |
The evidence against: what a cherry-picker leaves out
- No public appearance. No appearance is reported to Pilate, Caiaphas or the crowds; Acts says plainly the risen Jesus was shown “not to all the people, but to witnesses who were chosen before by God” (Acts 10:41, WEB). A God who wished to be known might have done otherwise; visions come to the predisposed. Factor 0.3-0.8.
- Visionary features. Jesus appears and vanishes suddenly, is not recognised at first, and “When they saw him, they bowed down to him; but some doubted” (Matthew 28:17, WEB). Allison: the appearances “had uncanny features that suit visionary experiences better than everyday seeing”.6 Factor 0.4-0.9.
- Divergent stories. Galilee or Jerusalem; how many women and angels. Mark’s original ending has no appearance at all: “They said nothing to anyone; for they were afraid” (Mark 16:8, WEB). Factor 0.6-0.95.
- Legend at the edges. The saints who rose and “entered into the holy city and appeared to many” (Matthew 27:53, WEB); the guard; the Gospel of Peter’s talking cross. Legends grow around true events too, so the factor is mild: 0.7-1.0.
Together these four multiply to a median of 0.19: the counter-evidence alone divides the case by about 5.14
The “minimal facts” head-count: what Habermas’s survey is, and isn’twhy it is not in the calculation
Gary Habermas catalogued “more than 1400” (online version) or “well over 2000” (journal version) scholarly publications on the death, burial and resurrection in English, French and German since 1975.21 He reports that “approximately 75% favor one or more of these arguments for the empty tomb” and “approximately 25% think that one or more arguments oppose it”, percentages that “reflect only those publications that answer this specific question”. No denominator is given. He reports “nearly unanimous consent” that the early followers thought they had seen the risen Jesus.
It is not a poll. It is Habermas’s own reading and coding of publications, in overlapping categories. He calls his 3:1 ratio of moderate-conservative to sceptical authors “a rough estimate” and “a barometer, albeit quite an unofficial one”, says it “proves nothing concerning whether or not the resurrection actually occurred”, and discloses that his own work falls in the conservative group. We found no published dataset or coding sheet, so the figures cannot be replicated. The publications are not a random sample of historians; resurrection scholarship is weighted toward confessional institutions.
Four critiques of the method stand. Counting publications double-counts the same few texts. The facts are kept “minimal” to win agreement, and the argument then re-imports Gospel details to rule out visions. Explanatory scope and power score fit but not prior probability, which is exactly where the dispute lies. And “appeared” is used of visions too; Paul’s own case was one. The method’s real strength is that the core facts come from Paul’s letters, not from consensus. That is how we use it.
The analysis
Every explanation against every fact
Each hypothesis is scored on how well it predicts each fact, from ++ predicts it naturally, through 0 neutral, to −− contradicts it or needs a seriously ad hoc assumption. The result is simple to state:
- The single-cause explanations (legend, conspiracy, removal, wrong tomb, swoon, substitution, cognitive dissonance) each fail several Tier A facts. Legend fails on the creed’s date and Paul’s first-hand claims; conspiracy fails on sincerity and on Paul; the tomb theories explain only the tomb.
- The live contest is R against Allison’s combination (H3, or H3 plus a moved body or legend). R fits the positive facts better. H3 fits the counter-evidence better: private appearances, visionary features, divergent stories. The question is how much H3’s chain of steps costs, and that is what the likelihood ratio computes.
The full matrix: 12 hypotheses × 13 factstable · 156 scores
++ predicts naturally · + accommodates easily · 0 neutral · − strains (needs an extra assumption) · −− contradicts, or needs a seriously ad hoc assumption · 0/+ between. D2-D3 are Tier B; N1-N3 are the counter-evidence. Scroll the table sideways on a phone.
| Hypothesis | D1 Death | D2 Burial | D3 Empty tomb | D4 Peter | D5 Groups | D6 James | D7 Paul | D8 Early | D9 Sincere | D10 Worship | N1 Private only | N2 Visionary traits | N3 Divergence | Plausibility before the data |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| R God raised Jesus | ++ | ++ | ++ | ++ | ++ | + | + | ++ | ++ | ++ | − | 0/− | 0 | depends on Tier I |
| H1 Individual grief visions | ++ | 0 | − | ++ | − | − | + | ++ | ++ | + | ++ | ++ | + | high |
| H2 Group hallucination | ++ | 0 | − | + | + | − | − | ++ | ++ | + | ++ | + | + | low to moderate |
| H3 Allison's combination | ++ | + | 0/+ | ++ | + | 0 | + | ++ | ++ | + | ++ | ++ | ++ | moderate |
| L Legend | ++ | + | ++ | − | −− | − | −− | −− | − | − | + | + | ++ | low here |
| C Conspiracy or lie | ++ | + | ++ | − | − | −− | −− | + | −− | − | + | 0 | + | very low |
| T Body moved or reburied | ++ | ++ | ++ | −− | −− | −− | −− | 0 | 0 | 0 | 0 | 0 | 0 | low to moderate |
| WT Wrong tomb | ++ | + | ++ | −− | −− | −− | −− | 0 | 0 | 0 | 0 | 0 | 0 | low |
| S Swoon | −− | + | + | + | + | 0 | −− | + | + | −− | 0 | −− | 0 | very low |
| Sub Substitute or twin | − | 0 | 0 | + | + | 0 | −− | + | + | 0 | + | − | 0 | very low |
| CD Cognitive dissonance | ++ | 0 | 0 | 0 | 0 | − | −− | + | ++ | + | + | 0 | 0 | explains persistence only |
| Comb H3 + body moved, or H3 + legend | ++ | + | ++ | ++ | + | 0 | + | ++ | ++ | + | ++ | ++ | ++ | moderate to low |
Notes on the hard cells.
- R is strained only by the counter-evidence (N1, N2). James and Paul score + rather than ++ because R does not predict that these two in particular would see Jesus.
- H1 needs removal, a wrong tomb or legend to explain the empty tomb, and the “raised” category and the group claims strain it.
- H2 scores + on groups only if the collective-apparition reports count; at “over five hundred at once” it strains.
- H3 is the strongest natural rival. Allison himself finds no “close phenomenological parallel to the series of likely events as a whole”.6
- S: Roman executioners were competent, and a half-dead man inspires pity, not worship (Strauss’s objection).22 Sub: Robert Cavin offers the twin as a logical possibility, not as history.23 CD explains why belief persisted (Festinger), not how a new resurrection claim began.24
- T and WT (Klausner;25 Lowder;12 Lake26) explain only the tomb, and a wrong tomb could have been corrected by others.
- Comb fits everything. The debate is about its joint probability, which is the next section.
How strong: the likelihood ratio
We build the probability of the core datum on the best natural account from its steps, using ranges rather than single numbers, and then multiply in the other facts as separate clusters, each conditional on the ones before it. The core datum (A) is the early, sincere, group-attested proclamation that Jesus was raised and appeared. On not-R it needs four things to happen:
- at least one vivid visual experience among 5-15 close followers (median 0.95, from the bereavement data);
- that experience proclaimed as bodily “raised”, not as a ghost, an angel or a soul exalted to heaven (0.02-0.5);
- spread into group claims fixed in a creed within about 2-5 years (0.1-0.8);
- persistence under hostility, given sincerity (0.5-0.95).
On R the same datum has probability 0.6-0.95 (R predicts appearances, but not necessarily to groups or in this form). The result for A alone: a median likelihood ratio of 45 (5-95%: 7 to 300).14
Where the factor of about 1,000 comes from
Likelihood ratio of each cluster (log scale). Dot: median; bar: range. The counter-evidence (G) pulls the total down by about 5.
Show the data
| Line of evidence | Low | Central | High |
|---|---|---|---|
| A. Early group proclamation | 6.69 | 45 | 304 |
| B. James, the sceptical brother | 1 | 2.8 | 8 |
| C. Paul, the persecutor | 1.5 | 6.7 | 30 |
| D. The empty tomb (Tier B) | 1.2 | 3.5 | 10 |
| E. Earliest worship | 1 | 1.4 | 2 |
| F. The witnesses' suffering | 1 | 1.4 | 2 |
| G. Counter-evidence, combined | 0.095 | 0.19 | 0.36 |
| Total | 61.5 | 10^3 | 10^4.3 |
| Quantity (200,000 draws) | 5% | 25% | median | 75% | 95% |
|---|---|---|---|---|---|
| Positive clusters A-F | 355 | 1,820 | 5,930 | 19,300 | 99,700 |
| Counter-evidence clusters G | 0.095 | 0.14 | 0.19 | 0.25 | 0.36 |
| Total likelihood ratio | 62 | 330 | 1,100 | 3,700 | 20,000 |
| log10 of the total | 1.8 | 2.5 | 3.0 | 3.6 | 4.3 |
The figure we carry forward is about 500. The median of the draws, 1,100, is not itself a likelihood ratio. The likelihood ratio implied by uncertain judgements is an average of how probable the data are on each side, and it comes out at about 300 if the uncertainty in James, Paul, the tomb, worship and suffering concerns the rivals, and about 600 if it is split evenly. 500 lies between. The range is about 1 to 20,000.
The table above draws all 14 judgement calls separately. A real reader’s calls move together: whoever reads the visions Allison’s way usually reads Paul, the tomb and the counter-evidence the sceptic’s way too. Let them share one common factor, and the middle hardly moves but the band widens, the chance of a result below 1 stops being zero, and the likelihood ratio falls to about 70-450. Unmodelled dependence on the Gospels’ reliability points the same way.14
The same calculation with correlated judgements2 tables · common factor ρ
ρ is the strength of the common factor (0 = independent, as above; 1 = every call moves in lock-step). Every input keeps its range.
| ρ | 5% | median | 95% | Chance below 1 |
|---|---|---|---|---|
| 0 | 62 | 1,100 | 20,000 | 0.000 |
| 0.3 | 5.9 | 1,080 | 250,000 | 0.007 |
| 0.6 | 1.3 | 1,040 | 1,400,000 | 0.039 |
| 1 | 0.34 | 970 | 8,100,000 | 0.111 |
The likelihood ratio implied by the ranges depends on which side each uncertainty sits on. For the core datum we stated the probabilities on each side directly, so its uncertainty sits almost wholly with the rivals; for the other clusters we gave only ratio ranges:
| Where the uncertainty in clusters B-G sits | ρ = 0 | ρ = 0.3 | ρ = 0.6 |
|---|---|---|---|
| B-F with the rivals, G with R (our framing) | 308 | 71 | 30 |
| B-G split evenly | 597 | 268 | 168 |
| B-F split evenly, G with R | 648 | 442 | 361 |
So: about 300-650 with independent judgements, about 70-450 with a modest common factor, about 30-360 with a strong one. The result “greater than 1” holds within our ranges; put 10% weight on a reader at the sceptical end of them and it drops to about 7-34. The study that would settle this is a second, adversarial assessor who states his own ranges, how they move together, and on which side each uncertainty sits. Nobody has done it yet.14
One thing is deliberately not counted here: the later spread of the worship of Israel’s God across the nations. It depends on the resurrection belief this page already scores, so it is not added as a separate factor, here or as prophecy.
What drives the spread. The single input that matters most is step 2: would grief visions be read as “resurrection”? (Its correlation with the result is −0.53.) Next comes Paul (+0.49), then the tomb, the spread to groups, and James (about ±0.35 each). So the scholarly arguments that decide this are N. T. Wright against Allison on what “resurrection” meant to a first-century Jew, and the explanation of Paul. Not the head-count.14
The component model, the base-rate check and the scriptmethod · ranges · reasons
| Component on not-R | Range used | Basis |
|---|---|---|
| a1: at least one vivid visual experience among 5-15 close followers | p = 0.05-0.5 each; median 0.95 | bereavement prevalence 30-60%, widened downward (spouses, “presence” experiences) |
| a2: proclaimed as bodily “raised” | 0.02-0.5 | Wright argues near 0: resurrection belonged to the end of the age and to everyone at once.27 Allison argues it was plausible given apocalyptic expectation. Mark 6:14-16 shows Herod saying of John the Baptist, “He has risen from the dead”. |
| a3: group claims in creedal form within ~2-5 years | 0.1-0.8 | social contagion and collective-apparition reports, against the specificity of named groups |
| a4: persistence under hostility, given sincerity | 0.5-0.95 | belief persisting after disconfirmation (Festinger); the witnesses’ hardship |
| P(A | R) | 0.6-0.95 | R predicts appearances, but not necessarily to groups or in this form |
| B James · C Paul · D tomb | 1-8 · 1.5-30 · 1.2-10 | each conditional on A; James joining a growing movement is not rare; persecutor conversions with visions are rare but attested; an empty-tomb story is expected even if legendary |
| E worship · F suffering | 1-2 each | largely downstream of A |
| G1 private · G2 divergence · G3 visionary · G4 legend | 0.3-0.8 · 0.6-0.95 · 0.4-0.9 · 0.7-1.0 | the counter-evidence |
Judgment ranges are drawn log-uniformly (they are multiplicative), 200,000 draws, seed 12. Every input can be changed in the script.14
Among about 6-10 first-century Jewish leaders of movements who died violently (Judas the Galilean, Theudas, Athronges, Simon of Perea, Menahem, Simon bar Giora, John the Baptist), there is no known claim by followers that one was raised.27 Zero out of n gives, by the rule of succession, roughly 0.05-0.1 per movement.
0 of 6: 1/(n+2) = 0.125 Jeffreys 0.5/(n+1) = 0.071 0 of 8: 1/(n+2) = 0.100 Jeffreys 0.5/(n+1) = 0.056 0 of 10: 1/(n+2) = 0.083 Jeffreys 0.5/(n+1) = 0.045
That is consistent with the upper part of the component model. It shows the base rate is low, not that it is astronomically low.
Sensitivity: the sceptic, the middle and the apologist
The same facts, scored three ways. Each stance below grants all the Tier A data; they differ only in the judgment calls. The first sets every input at the sceptical end of our own ranges, leaning the way Richard Carrier and Ehrman argue: visions would quite naturally be read as “raised”, and the counter-evidence weighs heavily. The middle inputs are Allison-type; the last sets every input at the apologist end, leaning Wright- and Habermas-type. The two ends are corners of our ranges, not other scholars’ own numbers.
The verdict on the history moves eight orders of magnitude with the judgment calls
Total likelihood ratio, log scale. 1 = the data do not discriminate.
Show the data
| Line of evidence | Low | Central | High |
|---|---|---|---|
| Sceptical end of our ranges (Carrier/Ehrman-leaning) | 0.15 | 0.15 | 0.15 |
| Middle (Allison-type) | 597 | 597 | 597 |
| Apologist end of our ranges (Wright/Habermas-leaning) | 10^7 | 10^7 | 10^7 |
| All ranges, Monte Carlo | 61.5 | 10^3 | 10^4.3 |
| Figure used on this site | 1 | 500 | 10^4.3 |
The three stances, input by inputtable · 14 inputs
| Input | Sceptical end | Middle | Apologist end |
|---|---|---|---|
| P(A | R) | 0.6 | 0.8 | 0.95 |
| a1 at least one vision | 0.95 | 0.8 | 0.5 |
| a2 read as “raised” | 0.5 | 0.1 | 0.02 |
| a3 spread to groups | 0.8 | 0.3 | 0.1 |
| a4 persistence | 0.95 | 0.8 | 0.6 |
| LR for A | 1.7 | 42 | 1,600 |
| B James | 1.0 | 2.5 | 8 |
| C Paul | 1.5 | 6 | 30 |
| D tomb | 1.2 | 3 | 10 |
| E worship | 1.0 | 1.3 | 2 |
| F suffering | 1.0 | 1.2 | 2 |
| G1 private only | 0.3 | 0.5 | 0.8 |
| G2 divergence | 0.6 | 0.8 | 0.95 |
| G3 visionary features | 0.4 | 0.6 | 0.9 |
| G4 legend | 0.7 | 0.85 | 1.0 |
| Total likelihood ratio | 0.15 | ~600 | ~107 |
Three things follow. First, the sceptical result is a defensible position, not an error: a well-informed critic who grants every Tier A fact can end near or below 1. And because none of our ranges lets James, Paul or the tomb count against the resurrection, a sceptic who thinks a vision explains Paul’s or James’s turn better than a real appearance would go lower still; our ranges cannot represent him. Second, the apologist’s 107 needs every judgment to fall one way at once; we report it, but we do not use it. Third, the hinge is step a2. If a vision would almost certainly be read as “raised” (a2 = 0.5), the core factor falls to about 2-10; if almost never (a2 = 0.02), it rises to about 100-1,000. Read Wright and Allison on that question and you will know where you stand.
Why not 1044, and why not Swinburne’s 97%
Two well-known Bayesian treatments give far stronger results. We do not use either, and the reasons are instructive.
Timothy and Lydia McGrew (2009) assign a Bayes factor of 102 to the women’s testimony, 103 to each of thirteen male witnesses (the Twelve and James) and 103 to Paul. In their words: “Sheer multiplication through gives a Bayes factor of 1044, a weight of evidence that would be sufficient to overcome a prior probability (or rather improbability) of 10-40 for R”.28
36 of the 44 orders of magnitude come from one assumption: that 13 disciples testified independently
Orders of magnitude (log10 of each Bayes factor) in McGrew & McGrew's headline
Show the data
| Item | Orders of magnitude | Note |
|---|---|---|
| Women's report | 2 | factor 100 |
| One disciple's testimony | 3 | factor 1,000 |
| 12 more disciples, multiplied as independent | 36 | the independence assumption |
| Paul | 3 | factor 1,000 |
| This page's total, for comparison | 3 | Monte Carlo median, about 1,100 |
- Independence. Treat the thirteen as one group report, as our rule 3 requires, and the product is 102 × 103 × 103 = 108. So 36 of the 44 orders of magnitude come from multiplying thirteen people who lived, preached and suffered together as if they were strangers. The McGrews say so themselves: “in the case of the calculation for D the independence assumption almost certainly breaks down.” They argue that this need not weaken the case, depending on how dependence works under each hypothesis. We think clustering is the honest default, and the script lets you see the difference.
- The Gospels are assumed. Their calculation “is predicated on the assumption that in matters other than the explicit claims of miracles, the gospels and the book of Acts are generally reliable”. That is the question of III.1, and the details it lets in (touching, eating) are exactly our Tier C.
- Hindsight. For Paul they write that “on the assumption of R there is no difficulty whatsoever accounting for” his conversion. But R does not predict that a particular persecutor would convert; our rule 2 makes R pay for that too.
- It makes the prior irrelevant. With a factor of 1044, the posterior comes out at 1 for every prior in our script’s grid, even P(God) = 0.001 with P(God raises this man | God) = 10-11. Any number that makes the reader’s prior beliefs irrelevant should make a careful reader suspicious.14
Richard Swinburne (2003) reaches a posterior that his reviewer Otte summarizes as “somewhere around .97” for the resurrection of God incarnate.29, 30 His inputs, as Richard Otte’s review reports them: the probability that God exists is 1/2; the probability that God becomes incarnate, if he exists, is 1/2, so the prior is 1/4; the probability of the evidence if he did is put “provisionally at 1/10”, and if he did not, at 1/1000.
- The evidence term is modest. 1/10 against 1/1000 is a factor of 100, the same order as ours. The 97% comes from pairing that factor with a starting probability of 1/4. Start at 1/1000 instead and the same factor gives about 9%.
- His evidence already names Jesus. Swinburne’s evidence is “that Jesus and only Jesus satisfies the prior and posterior requirements for being God incarnate”. So his 1/10 is not the chance that God would raise this man; it is the chance of evidence that already singles him out. What compares with our numbers is his starting probability times his factor: 1/2 × 100 = 50, which corresponds here to P(God raises this man | God) × the likelihood ratio.30
- The prior is where the dispute lies. P(God) = 1/2 is imported from Swinburne’s own natural theology; on this site that is the job of Tier I. Otte notes that Swinburne’s own principle of indifference would make the incarnation about 1/n, where n is the number of equally best acts God could do: “it is difficult to see why Swinburne concludes the probability of God becoming incarnate, if he exists, is 1/2 instead of 1/3, and many readers will assign an even lower probability”. Of the 1/1000: “one would have expected a stronger defense of the claim that this is about 1/1000.” And the argument “is based on an appeal to God not deceiving us, which will be unconvincing to many philosophers.”30 Michael Martin puts that figure at 1/500 and calls Swinburne’s unrealistic.31
- So we never quote the 97% without its inputs. With them it says something true and useful: a factor of about 100, on a theist’s prior, gives a high posterior. That is our conclusion too, stated conditionally.
Why the answer depends on Tier I
Here is the step most treatments hide. The probability that God raised Jesus, before looking at the Easter evidence, is
P(R) = P(God) × P(God raises this man | God) P(R | no God) = 0
If there is no God, the probability that God raised Jesus is zero, whatever the evidence. No likelihood ratio, however large, can move a zero. So this page cannot settle the question on its own. It can only tell you how far the history should move you from wherever Tier I leaves you.
P(God) is the question of Tier I: is there a Mind behind nature? (the beginning of the universe, fine-tuning, the origin of life, consciousness), weighed against the case against. We do not count Tier I again inside this page’s likelihood ratio.
P(God raises this man | God) is not the chance that a random corpse revives. The background includes what we know of Jesus before Easter: an apocalyptic prophet who spoke and acted with claimed divine authority and was executed as “king of the Jews”. Two anchors: if God raised one person at random from the roughly 117 billion humans ever born,32 the figure would be about 10-11; that is a floor, because Jesus is not a random person. There is no agreed upper anchor: Swinburne’s inputs are not a value of this number (see above), and the columns below are values to try, not anyone’s estimate.
The table shows the probability that Jesus rose, given the evidence, for a likelihood ratio of 100 and of 1,000 (our central 500 lies between). Bold cells are above one half at 1,000.
| P(God) | 10-1 | 10-2 | 10-4 | 10-6 | 10-8 |
|---|---|---|---|---|---|
| 0.01 | 0.09 · 0.50 | 0.01 · 0.09 | 0.0001 · 0.001 | 10-6 · 10-5 | 10-8 · 10-7 |
| 0.1 | 0.50 · 0.91 | 0.09 · 0.50 | 0.001 · 0.01 | 10-5 · 10-4 | 10-7 · 10-6 |
| 0.5 | 0.84 · 0.98 | 0.33 · 0.83 | 0.005 · 0.05 | 5×10-5 · 5×10-4 | 5×10-7 · 5×10-6 |
| 0.9 | 0.91 · 0.99 | 0.48 · 0.90 | 0.009 · 0.08 | 9×10-5 · 9×10-4 | 9×10-7 · 9×10-6 |
Run the whole Monte Carlo range through instead of a single number, and with P(God) = 0.5 and P(God raises this man | God) = 10-2 the posterior has a median of 0.85 (5-95%: 0.24 to 0.99). With P(God) = 0.1 and 10-4 it has a median of 0.011.14
Given theism at reasonable odds, the historical evidence makes the resurrection the best explanation and probably true. It cannot by itself carry a convinced naturalist across. Whether you should believe it depends mostly on where Tier I leaves you, and the unified verdict combines the two, with a calculator for your own numbers.
What the event can, and cannot, tell you about God
The likelihood ratio on this page is for the event: did Jesus rise, or is there a natural explanation? Running the argument the other way, from the event to God, is much weaker, and there is a simple reason. To count the resurrection as evidence that a God who acts exists, you need to know how likely such a God was to do this particular thing.
Whatever the strength L of the evidence for the event, it raises the odds of a God who acts, over a God who never acts or over no God, by at most
1 + P(God raises this man | God) × (L − 1)
and so never by more than L. This is a piece of arithmetic, not a judgement.14
| Compared with | On cautious inputs | Across every modelling choice we could defend |
|---|---|---|
| A God who never acts in history | about 2-3 | 0.7 to about 20 |
| No God, once the suffering a perfectly good God must answer for is counted (the case against) | about 1 | 0.3 to about 10 |
| A God who never acts, on Swinburne’s own inputs | about 26 | |
To count as strong evidence for a God who acts (a factor of 20), the advance probability that God would vindicate this man, times the strength of the evidence, would have to reach about 40 against a God who never acts, or about 80 against no God. Cautious inputs give about 3 to 5. Skeptical theism, the view that God’s reasons are beyond us, does not help: applied evenly, it removes this support together with the cost of evil, and leaves the question at even odds.14
That is why this page’s conclusion runs one way. If you already have reason to think God exists, the history makes the resurrection probable. The history alone does little to give you that reason.
Hume, made quantitative: how much evidence each prior demandstable · 8 rows
Hume: “no testimony is sufficient to establish a miracle, unless the testimony be of such a kind, that its falsehood would be more miraculous, than the fact, which it endeavours to establish”; and “A wise man, therefore, proportions his belief to the evidence.”33 In Bayesian terms Hume is right: the likelihood ratio must exceed the prior odds against. What his maxim cannot tell you is how extraordinary the claim is; that is set by the prior.
| P(God) | P(God raises this man | God) | LR needed for > 50% |
|---|---|---|
| 0.01 | 10-8 | 1010 |
| 0.01 | 10-2 | 10,000 |
| 0.01 | 10-1 | 999 |
| 0.1 | 10-4 | 100,000 |
| 0.1 | 10-2 | 999 |
| 0.5 | 10-2 | 199 |
| 0.5 | 10-1 | 19 |
| 0.9 | 10-1 | 10 |
Hume’s a priori argument, uniform experience against miracles, begs the question if it is used to set the prior to zero. His other arguments (credulity, religious enthusiasm, rival miracles cancelling each other out) are real, and they are scored here as the counter-evidence and the parity check below.
Objections
“Extraordinary claims require extraordinary evidence.” (Hume; Sagan; Carrier34)
Agreed, and the Hume table makes it exact. How extraordinary the claim is depends on the prior, which Tier I sets.
“Grief visions are common. Why isn’t that enough?” (Lüdemann; Carrier)
We grant it: the model sets the chance of at least one vision near 0.95. But the bereaved conclude “she is still with me”, not “she has been raised as the first fruits of the end”. The persecutor and the group claims also strain it. The single most important input on this page is whether visions would be read as “raised” (a2).
“Mormons had eleven signed witnesses. Why believe these and not those?”
Fair. The Book of Mormon witnesses signed published statements; three describe an angel showing the plates, eight say they handled them, and LDS sources stress that none publicly retracted his printed testimony, though critics read the statements as visionary and several witnesses later broke with Joseph Smith.35 Named, sincere witnesses can testify to something most people judge false. That is why sincerity gets a factor of only 1-2 here. What differs: the plates were not available to outsiders, and the witnesses were a family and insider circle with no hostile convert. The resurrection case has a persecutor’s and a sceptical brother’s conversions, a creed from within a few years, and a claim made in the city of the execution. Sathya Sai Baba’s thousands of witnesses differ again: there the claim was testable and the test was refused.36
“The empty tomb is Mark’s invention.” (Kirby; Crossan; Ehrman on the burial)
The Jerusalem setting, the women as first witnesses, the theft counter-claim, and burial customs as Evans and Magness present them make it probable. But the case does not need it.
“Paul never mentions a tomb, and he says ‘spiritual body’. The earliest belief was not physical.”
“Buried … raised” in a Pharisee’s mouth implies the body (Wright). And “It is sown a natural body; it is raised a spiritual body” (1 Corinthians 15:44, WEB) contrasts what animates the body, not what it is made of.
“Martyrs die for false beliefs all the time.”
Agreed, and McDowell agrees. Suffering shows sincerity, not truth, so it gets little weight. The first witnesses were in a position to know whether they had had the experiences; they were not thereby in a position to know their interpretation was right.
“The Bayesian numbers are made up.” (Carrier on apologists; compare Otte, who calls Swinburne’s inputs insufficiently defended)
Every input here is either sourced or labelled as a judgment with a range, and the script lets you substitute your own. The three stances show what different judgments do.
“The appearances were only to believers.”
James and Paul were outsiders. Even so, we count the absence of any public appearance against R (0.3-0.8): a God who wanted to be known might have appeared to Pilate.
“The Gospels contradict each other about Easter morning, and legend grew: look at Matthew 27:52-53.”
Yes, which is why only Tier A data carry weight, and why divergence (0.6-0.95) and legend (0.7-1.0) are scored against R. Legend at the edges does not explain the early creed or Paul’s first-hand claim.
“Even if something strange happened, that wouldn’t show God did it, or that Jesus is divine.” (Martin; Carrier)
In context, Jesus’ own claims and the Jewish meaning of “raised”, the natural reading is divine vindication. Paul makes everything hang on it: “If Christ has not been raised, then our preaching is in vain and your faith also is in vain” (1 Corinthians 15:14, WEB).
“So if the resurrection happened, that proves God exists?”
No. The evidence bears on the event. Its support for a God who acts goes through how likely God was to do this, which is a judgement about God’s purposes, not a historical fact. On cautious inputs the history raises those odds about 2-3 times; once suffering is counted against a perfectly good God, about 1 against no God (the cap).
“Your simulation can’t come out below 1. You drew every judgement independently, and your ‘sceptic’ never lets Paul or James count against the resurrection.”
Both points are right, and we have changed the page for them. With one common factor among the judgements, the 5% point falls to about 6, or about 1 with a strong factor, and the likelihood ratio to about 70-450 (the correlated tables). The “sceptic” is now labelled for what it is: the sceptical end of our own ranges.
“The Shroud’s image sits on the very top fibres and no known process makes it. Only a burst of energy from the body could. Isn’t that physical evidence?”
The superficiality is real and unexplained, and laboratory work has coloured linen in a similar way with very short ultraviolet laser pulses. But an unexplained property is a gap in knowledge, not a measured burst from a body, the cloth is radiocarbon-dated to AD 1260-1390, and the energy figures that circulate online are misquoted or invented. See the appendix.
“If God can make a new body, and everyone else is to be raised long after their bodies have decayed, why should a resurrection need an empty tomb at all?”
The question is what the first proclaimers meant. For a first-century Jew, and for Paul, being raised was the transformation of the body that was buried: “The body is sown perishable; it is raised imperishable” (1 Corinthians 15:42, WEB), and Christ “became the first fruit of those who are asleep” (15:20, WEB). So the resurrection as proclaimed predicts an empty tomb. That a person’s identity need not depend on the same atoms is a theological point, and it does not enter the calculation.
“Wouldn’t a real resurrection leave physical traces in the tomb that we could test today?”
Only if some mechanism said what traces, and how much. None does, so there is no prediction to test. A fair test would fix the mechanism and the expected value before anyone measured. Suggestions that circulate, such as carbon-12 turned into carbon-14 in the rock, fail on basic physics: carbon-14 is made chiefly from nitrogen-14.
What this shows, and what it doesn’t
- Within a few years of the crucifixion, Jesus’ followers, a sceptical brother and a persecutor sincerely claimed he had appeared to them alive, and proclaimed him “raised”. This rests on Paul’s own letters, not on trusting the Gospels.
- Legend, conspiracy, the wrong tomb, swoon and substitution each fail several well-established facts.
- Against the best natural explanation, the data favour the resurrection by a factor of about 500 (range about 1 to 20,000): moderate evidence, counter-evidence included. That central figure assumes our judgement calls are independent; if they move together it is about 70-450.
- Given a reasonable probability that God exists, that factor makes the resurrection more probable than not.
- That the resurrection happened, for a reader whose prior for God is low. If there is no God, no amount of this evidence suffices.
- That every natural explanation fails. Allison’s combination is a serious rival, and a well-informed sceptic can score the data near 1.
- What the experiences were. The early date fixes the claim, not its nature.
- That the empty tomb, the Gospels’ physical details or the Shroud are established. They carry little or no weight here.
- That God exists. Even granted in full, the event raises the odds of a God who acts by at most 1 + P(this act | God) × (L − 1): about 2-3 on cautious inputs.
What we don’t claim
- “The resurrection has a Bayes factor of 1044.” 36 of the 44 orders of magnitude come from treating thirteen testimonies as independent, which the McGrews themselves say “almost certainly breaks down”; the figure also assumes the Gospels and Acts are generally reliable.
- “Swinburne calculated a 97% probability.” He did, given P(God) = 1/2 and three other contestable inputs. Never without the inputs. Nor “Swinburne puts the chance that God would raise Jesus at 1 in 10”: his 1/10 is the chance of evidence that already singles Jesus out.
- “The resurrection is evidence that God exists.” Not without the condition. It is evidence for the event; its support for a God who acts is capped by how likely God was to do this, which is a judgement about God’s purposes (the cap).
- “Habermas polled thousands of scholars; 75% accept the empty tomb.” He catalogued publications (1,400 to 2,000+ by 2005), coded by himself. The 75% is of the publications that address the question, with no denominator and no published dataset. Say: in Habermas’s catalogue, about three in four publications that address the question favour the empty tomb.
- “All the apostles died as martyrs for their testimony.” McDowell rates four at the highest probability, Thomas at 7, Andrew at 6, seven at 5 (“as plausible as not”) and John as improbable.
- “People don’t die for a lie, so it’s true.” It rules out conscious fraud only. Sincere people die for false beliefs.
- “The creed dates to within months of the crucifixion.” The defensible claim is within a few years, about 2-5.
- “Over 500 witnesses who could be checked.” Paul says most were alive, but gives no names; Allison suggests the Corinthians “were almost as much in the dark as are we, unable to name or quiz any of those involved.”6
- “Group hallucinations are impossible.” Collective-apparition reports exist. Argue from the whole pattern instead.
- “Women’s testimony was inadmissible.” As a blanket rule, that overstates the sources. Josephus does write “let not the testimony of women be admitted” (Ant. 4.219, Whiston), but the rule was not absolute in practice. Say it carried less weight.
- “JAMA proved Jesus died.” Edwards, Gabel and Hosmer (1986) is an interpretive review built on the Gospel accounts: “Modern medical interpretation of the historical evidence indicates that Jesus was dead when taken down from the cross.”37 Its asphyxia mechanism is disputed.38 The swoon theory fails for historical reasons.
- “Josephus says Jesus appeared alive on the third day.” That clause sits in the part of the Testimonium widely judged to be a Christian addition.
- “Tacitus is enemy attestation of the resurrection.” He attests the execution and the movement’s spread, and calls it a superstition.
- “The Jewish authorities admitted the tomb was empty.” We have Matthew’s report, decades later, of a counter-claim. It shows the dispute presupposed an empty tomb; it is not a hostile document.
- “Only the resurrection explains the facts; every alternative is fatally flawed.” Allison’s combination is a serious rival. Say “best explains”, with the likelihood ratio.
- “No first-century Jew expected a Messiah who would die.” Say: a dying and rising Messiah was not a common expectation.
- Wright’s widely circulated line, “I cannot explain the rise of early Christianity unless Jesus rose again…”. We could not verify it; quote Wright only from his books.
- Chuck Colson’s “Watergate conspiracy” argument. It is an anecdote, not data.
- Any Shroud claim in the main argument: “carbon dating refuted”, “new tests date it to Christ’s time”, “a burst of radiation made the image”, “type AB blood proves it”, “no known process”. See below.
- “The image took a burst of several gigawatts, about 120 joules, more than all the world’s nuclear plants.” These figures misquote the Italian laboratory work and contradict each other. That work coloured linen with laser pulses; it measured nothing from a body, and its authors did not say the image was made that way.
- “The image is only 20-40 nanometres deep.” The published figure is coloration “very thin, down to 200 nm”, about ten times deeper (see the appendix).
- “Coherence radiation”, an “ontological phase transition”, an isotopic “ash” of exotic particles on the cloth, or a constant of nature “derived from the Resurrection”. None has any published basis. These are inventions, some of them by AI systems, and the constant was defined by the very equation used to “derive” it.
- “A resurrection would leave testable isotopic traces in the tomb.” No mechanism gives an expected signal, and carbon-14 is not made from carbon-12.
- “NASA found a 3D property no other image has”; “the Sudarium of Oviedo is documented since the 7th century with the same AB blood”. The 3D analysis was done by two researchers of the 1970s Shroud project, not by NASA as such, and “no other image” overstates it; blood typing of degraded samples and the Sudarium’s early history are contested. We use none of it.
Appendix: the Shroud of Turin
The Shroud is Contested and not load-bearing: nothing on this page uses it, so its status cannot be used for or against the argument above.
The radiocarbon date and the challenges to itcontested · not used in the case
- The 1988 radiocarbon result. Samples were dated at Arizona, Oxford and Zurich, with three controls: “The results provide conclusive evidence that the linen of the Shroud of Turin is mediaeval”, with a calibrated range of “AD 1260-1390, with at least 95% confidence”.39
- The raw-data reanalysis. Using raw data released in 2017, Casabianca and colleagues report statistical heterogeneity among the measurements, which suggests the sample may not have been homogeneous or representative, and they call for a re-test. They do not produce a first-century date.40
- Reweave and contamination. Raymond Rogers argued that the sampled area was chemically unlike the main cloth.41 Freer-Waters and Jull examined an Arizona sample split and report no evidence of coatings or dyes, only minor contaminants, and nothing to contradict its having come from the main cloth.42
- X-ray dating. De Caro and colleagues used wide-angle X-ray scattering to estimate the ageing of the linen’s cellulose, and found it consistent with about 2,000 years under an assumed storage history. The method is new, calibrated on few samples, very sensitive to the assumed temperature, and not independently replicated; De Caro himself urged replication.43
- The image. Its superficiality, negative character and distance-intensity relation are real research questions, and no reproduction yet matches every property. The coloration is “very thin, down to 200 nm”, the thickness of the primary cell wall of a single linen fibre, and “Up to date, attempts to reproduce an image with the same characteristics have been unsuccessful.”44 That is a gap in knowledge, not evidence of a supernatural origin.
- The laser experiments. A team at ENEA, Italy’s national energy agency, irradiated raw linen with ultraviolet excimer-laser pulses and “achieved a very superficial Shroud-like coloration of linen yarns in a narrow range of irradiation parameters.”44 This shows one physical route to a similar colour. It is not a measurement of energy from a body, and the team did not claim the image was made this way.45 Energy figures for a “resurrection burst” that circulate online are not theirs.
Status: the mainstream date is medieval; the critiques of the sampling are real but do not establish an ancient date.
Sources
- Tacitus, Annals 15.44 (c. AD 116). Loeb Classical Library, vol. V (1937), via LacusCurtius, penelope.uchicago.edu. Checked.
- Josephus, Jewish Antiquities 18.63-64 (the Testimonium; core probably authentic, partly interpolated), 20.200 (the death of James), 4.219; Jewish War 4.317. Tr. W. Whiston, Project Gutenberg #2848. 20.200 and 4.219 checked in Whiston; the others are standard references, not re-checked by us.
- World English Bible (2020 stable text, public domain), eBible.org
eng-web_vpl.zip: 1 Cor 9:1; 15:3-8, 11, 14, 20, 42, 44; 16:22; Gal 1:13-19, 23; 2:9; Mark 3:21; 6:14-16; 15:43; 16:8; Matt 27:52-53; 28:13-17; Luke 24:16, 31, 34; John 7:5; Acts 1:14; 10:40-41; Phil 2:9-11; Deut 21:23. ebible.org - Lüdemann, G. (1994). The Resurrection of Jesus: History, Experience, Theology. Fortress. (Dating as cited by several secondary sources; not checked against the book.)
- Ehrman, B. D. (2014). How Jesus Became God. HarperOne. (Via secondary summaries.)
- Allison, D. C., Jr. (2021). The Resurrection of Jesus: Apologetics, Polemics, History. T&T Clark. Quotations and page numbers as given in K. R. Harriman's review, krharriman.substack.com (checked against the review, not the book).
- Crossan, J. D. (1994). Jesus: A Revolutionary Biography. HarperSanFrancisco; and Who Killed Jesus? (1995). (Via secondary summaries.)
- Evans, C. A. (2005). "Jewish Burial Traditions and the Resurrection of Jesus." Journal for the Study of the Historical Jesus 3(2): 233-248; and "Getting the Burial Traditions and Evidences Right," in M. F. Bird et al., How God Became Jesus (Zondervan, 2014). (Via secondary summaries.)
- Magness, J. (2005). "Ossuaries and the Burials of Jesus and James." Journal of Biblical Literature 124(1): 121-154. (Via secondary reports.)
- Craig, W. L. "Dale Allison on Jesus' Empty Tomb, His Post-Mortem Appearances, and the Origin of the Disciples' Belief in His Resurrection" (review of Allison, Resurrecting Jesus, T&T Clark, 2005). reasonablefaith.org
- Kirby, P. (2002). "The Case Against the Empty Tomb." Journal of Higher Criticism 9(2): 175-202; reprinted in R. M. Price & J. J. Lowder (eds.), The Empty Tomb: Jesus Beyond the Grave (Prometheus, 2005).
- Lowder, J. J. (2005). "Historical Evidence and the Empty Tomb Story." In Price & Lowder (eds.), The Empty Tomb. (As summarised and answered in McGrew & McGrew 2009.)
- Justin Martyr, Dialogue with Trypho 108 (c. AD 160). Standard reference; not re-checked by us.
- Our calculation:
truth/research/calc/12-resurrection_bayes.py(200,000 Monte Carlo draws, seed 12; the correlated-judgement tables and the cap in its sections 7-8) and its output, in the site's source repository. Every input is a sourced number or a labelled judgment range you can change. The figures for the cap against each rival (hiddenness, the silence of other candidate acts and the evidence from suffering included) come from our separate research record on divine action,omega/research/ceiling/c3-agency/RECORD.md, and its scripts, in the same repository. - Rees, W. D. (1971). "The Hallucinations of Widowhood." BMJ 4: 37-41. doi:10.1136/bmj.4.5778.37
- Olson, P. R., Suddeth, J. A., Peterson, P. J. & Egelhoff, C. (1985). "Hallucinations of Widowhood." Journal of the American Geriatrics Society 33: 543-547. doi:10.1111/j.1532-5415.1985.tb04619.x
- Castelnovo, A., Cavallotti, S., Gambini, O. & D'Agostino, A. (2015). "Post-bereavement hallucinatory experiences: A critical overview of population and clinical studies." Journal of Affective Disorders 186: 266-274. doi:10.1016/j.jad.2015.07.032
- Hurtado, L. W. (2003). Lord Jesus Christ: Devotion to Jesus in Earliest Christianity. Eerdmans. (Via reviews.)
- Bauckham, R. (2008). Jesus and the God of Israel. Eerdmans.
- McDowell, S. (2015). The Fate of the Apostles. Ashgate (Routledge 2016); grades as summarised in McDowell, "Did the Apostles Really Die as Martyrs for Their Faith?", Christian Research Journal. equip.org
- Habermas, G. R. (2005). "Resurrection Research from 1975 to the Present: What Are Critical Scholars Saying?" Journal for the Study of the Historical Jesus 3(2): 135-153. Author's online version
- Strauss, D. F. (1864). Das Leben Jesu für das deutsche Volk (the critique of the swoon theory). (Via secondary summaries.)
- Cavin, R. G. (1995). "Is There Sufficient Historical Evidence to Establish the Resurrection of Jesus?" Faith and Philosophy 12(3): 361-379.
- Festinger, L., Riecken, H. W. & Schachter, S. (1956). When Prophecy Fails. University of Minnesota Press.
- Klausner, J. (1925). Jesus of Nazareth. (As discussed in McGrew & McGrew 2009.)
- Lake, K. (1907). The Historical Evidence for the Resurrection of Jesus Christ. (As discussed in McGrew & McGrew 2009.)
- Wright, N. T. (2003). The Resurrection of the Son of God. Fortress. (Via secondary summaries.)
- McGrew, T. & McGrew, L. (2009). "The Argument from Miracles: A Cumulative Case for the Resurrection of Jesus of Nazareth." In W. L. Craig & J. P. Moreland (eds.), The Blackwell Companion to Natural Theology, 593-662. Wiley-Blackwell. Quoted from the authors' draft (pp. 30-42), PDF mirror.
- Swinburne, R. (2003). The Resurrection of God Incarnate. Oxford University Press. (Figures as reported by Otte.)
- Otte, R. (2003). Review of Swinburne, The Resurrection of God Incarnate. Notre Dame Philosophical Reviews, 2003.09.04. ndpr.nd.edu
- Martin, M. (2005). "Swinburne on the Resurrection." In Price & Lowder (eds.), The Empty Tomb, 453-468. (As cited in McGrew & McGrew 2009, draft p. 40 n. 31.)
- Kaneda, T. & Haub, C. (2022). "How Many People Have Ever Lived on Earth?" Population Reference Bureau. prb.org
- Hume, D. (1748). An Enquiry concerning Human Understanding, section 10, "Of Miracles", paragraphs 10.4 and 10.13. davidhume.org
- Carrier, R. (2012). Proving History: Bayes's Theorem and the Quest for the Historical Jesus. Prometheus.
- The Book of Mormon witnesses: FAIR, "Eight witnesses" (fairlatterdaysaints.org); Vogel, D. (ed.), Early Mormon Documents, vol. 5 (Signature, 2003). (Via secondary summaries; the primary documents were not checked by us.)
- Haraldsson, E. (1987). Miracles Are My Visiting Cards; (2013) Modern Miracles (White Crow); "Sai Baba," Psi Encyclopedia (Society for Psychical Research). psi-encyclopedia.spr.ac.uk (Via secondary summaries.)
- Edwards, W. D., Gabel, W. J. & Hosmer, F. E. (1986). "On the Physical Death of Jesus Christ." JAMA 255: 1455-1463. PMID 3512867 (abstract).
- Maslen, M. W. & Mitchell, P. D. (2006). "Medical theories on the cause of death in crucifixion." Journal of the Royal Society of Medicine 99: 185-188.
- Damon, P. E., et al. (1989). "Radiocarbon dating of the Shroud of Turin." Nature 337: 611-615. Reprint at shroud.com
- Casabianca, T., Marinelli, E., Pernagallo, G. & Torrisi, B. (2019). "Radiocarbon Dating of the Turin Shroud: New Evidence from Raw Data." Archaeometry 61(5): 1223-1231. doi:10.1111/arcm.12467 (Checked: abstract.)
- Rogers, R. N. (2005). "Studies on the radiocarbon sample from the shroud of Turin." Thermochimica Acta 425: 189-194. (Via secondary summaries.)
- Freer-Waters, R. A. & Jull, A. J. T. (2010). "Investigating a Dated Piece of the Shroud of Turin." Radiocarbon 52(4): 1521-1527. doi:10.1017/S0033822200056277 (Checked: abstract.)
- De Caro, L., et al. (2022). "X-ray Dating of a Turin Shroud's Linen Sample." Heritage 5(2): 860-870. doi:10.3390/heritage5020047 (Checked: abstract; the replication point via secondary summaries.)
- Di Lazzaro, P., Murra, D., Santoni, A. & Baldacchini, G. (2010). "Sub-micrometer coloration depth of linens by vacuum ultraviolet radiation." Proceedings of the International Workshop on the Scientific Approach to the Acheiropoietos Images, ENEA Frascati, 4-6 May 2010. PDF (Checked. The 200 nm figure is theirs, citing Fanti et al., J. Imaging Sci. Technol. 54 (2010) 040201.)
- Schwortz, B. (2011). "The Shroud in the News for Christmas 2011: An Editorial Response." shroud.com (Checked: “They did NOT say this was how the Shroud’s image was formed.”)
In the unified argument
This line of evidence supports the hypothesis by a likelihood ratio of about 500: God raised Jesus vs the best natural explanation. This measures only how much better the resurrection explains the early data than the best natural mixture (grief visions, an apocalyptic reading, social spread, an empty or unknown tomb). The central 500 assumes our judgement calls are independent; if they move together it falls to about 70-450. It is evidence for the event: what it implies about God is capped by how likely God was to do this, and is carried by the prior P(God) × P(this act | God), not by a second term. The prior comes from Tier I and must not be counted again here, and the empty-tomb factor partly overlaps the Gospels' general reliability (III.1), which is why III.1 is entered only against Islam. A separate small line for the crucifixion record (about 1.9, range 1.2 to 3.3) is entered only against Islam, which holds that Jesus was not crucified (Quran 4:157).