➘ #23 Source Article
Symbolic Logic Formalization
This states that every hypothesis 
Each claim is classified as extraordinary or mundane, and as public or private. Extraordinary claims require stronger evidence; public claims create higher expectations of multiple reports.
The expected reportage 
The silence likelihood ratio captures the evidential force of missing reports. If the event occurred, silence is improbable; if it did not occur, silence is exactly what we expect. Thus 
The effective likelihood ratio for each source 
The total evidential force for a hypothesis combines all weighted sources with the silence penalty. Independent evidence multiplies, but silence drags the total downward.
Posterior credence in 
Extraordinary claims require higher acceptance thresholds than mundane ones. This encodes the principle that extraordinary claims demand extraordinary evidence.
Case Applications
Both the New York resurrection and the Jerusalem graves claim start with an extremely low prior.
Both are public, dramatic events in populated urban centers.
In both contexts, silence from expected observers is devastating.
Each rests on a single weak source: an anonymous news report in one case, an anonymous dependent gospel in the other.
Combining the weak testimony with silence results in minuscule evidential force.
The posterior probability collapses toward zero in both cases. Antiquity does not rescue the claim.
A Fitch-Style Proof.
The target claim is both extraordinary and public, i.e., not a private or mundane report
The prior credence for the hypothesis is extremely small due to conflict with stable background regularities
Expected reportage is a function of publicity, magnitude, recording capacity, and documentation norms
Public, dramatic events should yield many independent traces in proportion to their scale
We observe a surprising lack of independent attestations where multiple should exist
Define the silence likelihood ratio comparing silence if the event happened versus if it did not
If many reports are expected but absent, silence strongly disfavors the hypothesis
Let the surviving sources be a finite set of testimonies or documents
Each source’s raw likelihood is discounted for time gaps, bias, anonymity, tampering, low quality, and dependence
After discounts, each surviving source is at best neutral and often sub-unitary in evidential weight
Total evidential force multiplies the discounted sources and the silence penalty
Because the silence factor is far below 1, the overall likelihood ratio is driven down strongly
Posterior credence is the Bayesian update using the total likelihood ratio
With a tiny prior and a tiny likelihood ratio, the posterior collapses toward zero
Acceptance thresholds are higher for extraordinary claims than for mundane ones
The posterior falls below the required threshold for acceptance of extraordinary claims
Failing the threshold entails non-acceptance of the hypothesis
For the modern cemetery scenario: extremely low prior, high expected reportage, strong silence penalty, and one weak source
Combining the factors yields an effectively zero posterior in the modern case
For the ancient graves narrative: the same structure with one dependent, anonymous gospel as the sole source
The ancient case also collapses to an effectively zero posterior, despite temporal distance
When two claims share the same evidential structure, they warrant the same assessment, regardless of era
Consistency demands that both modern and ancient versions be treated by the same standards
Appeals to ancient documentation limits, oral tradition, martyr sincerity, miracle exemption, or historical impact do not sufficiently improve the evidential parameters to meet the extraordinary threshold
Conclusion: maintaining consistent standards across eras, the hypothesis should not be accepted given the total evidential profile
◉ A plain English walkthrough of the Master Proof above.
Classifying the claim
The target claim is both extraordinary (violating strong background expectations, like resurrections) and public (allegedly visible to many). This matters because extraordinary public events require very strong evidence.
Starting point: low prior
Extraordinary claims start with an extremely low probability because they conflict with the stable regularities of the world. Before any evidence is considered, we already know such events are extremely unlikely.
Expected reportage
For public, dramatic events in a culture with means of recording, we expect many independent reports. The bigger and more visible the claim, the higher the expected reportage.
Observed silence
What we actually find is silence—no corroborating sources where we would expect them. This silence itself is evidence against the event, because if it really happened, people would almost certainly have reported it.
Weighting surviving sources
The few surviving testimonies are weak. Each one gets discounted if it comes from anonymous authors, depends on other sources, is written long after the event, or shows bias or tampering. After these penalties, each source counts for very little.
Total evidential force
When we combine all surviving testimonies with the silence penalty, the result is a very small number. In effect, the silence overwhelms the weak positive evidence.
Bayesian update
When we update our belief using Bayes’ theorem, the extremely low prior (the unlikelihood of resurrections) and the very small evidential force from step 6 drive the posterior probability down close to zero.
Acceptance threshold
Extraordinary claims must clear a higher threshold of evidence than ordinary claims. Because the posterior probability is so close to zero, it falls far below this threshold.
Modern parity test
If a newspaper today claimed a mass resurrection in New York with only one anonymous source and no other reports, we would dismiss it. The math shows the posterior probability collapses toward zero.
Ancient parity test
Matthew’s claim that many saints rose from their graves in Jerusalem after Jesus’ resurrection has the same evidential structure: one weak source and universal silence elsewhere. The posterior also collapses to near zero.
Consistency requirement
Since both cases are structurally identical, we must treat them the same. We cannot reject the modern claim while accepting the ancient one without being inconsistent.
Counterarguments considered
Arguments about ancient record-keeping, oral tradition, martyr sincerity, or historical impact do not change the calculation enough to rescue the claim. The silence, weak sources, and low prior remain decisive.
Final conclusion
The rational outcome is not to accept the hypothesis. Both modern and ancient miracle claims of this type fail because they combine a tiny prior probability with overwhelming silence and weak testimony. Temporal distance does not convert an implausible event into a credible one.
◉ Narrative Summary
When evaluating extraordinary public claims—such as resurrections in crowded cities—the rational approach begins with recognition of their improbability. Such events clash with the stable patterns of the world, so their starting probability is vanishingly small.
Because they are public and dramatic, we should expect abundant reports from different people and sources. The more extraordinary and visible an event, the stronger the expectation of multiple, independent records. Yet in cases like these, what we actually find is silence: no corroborating sources where we would certainly expect them. Silence, therefore, is not neutral—it counts as evidence against the claim.
The few surviving sources that do exist carry little weight once their weaknesses are factored in. Anonymous authorship, dependence on other accounts, long delays before being written down, or obvious biases all erode their reliability. When these discounted testimonies are combined with the powerful negative evidence of silence, the total evidential force shrinks to an extremely small value.
When we update our belief mathematically, the picture is clear. Starting from a tiny prior probability, and multiplying by such weak and heavily penalized evidence, the final probability collapses toward zero. Extraordinary claims must overcome a higher bar than ordinary ones, but in these cases they fall far below it.
This is true for both modern and ancient examples. If a newspaper today reported that graves opened in New York and the dead walked the city, yet no one else wrote about it, we would dismiss the story. The same logic applies to Matthew’s account of saints rising in Jerusalem. Both share the same structure: a very unlikely event, high expectations of widespread reportage, and the deafening silence of other witnesses. Both collapse under the same weight of reasoning.
Counterarguments cannot save the claim. Limitations of ancient record-keeping are already built into the model; oral traditions do not cancel the penalties of time gaps and dependence; personal commitment of believers proves sincerity but not truth; and historical impact only shows the power of belief, not the accuracy of the events. None of these factors raise the probability anywhere near the level required for acceptance.
The lesson is straightforward. Intellectual honesty requires consistency. If we would reject the modern claim for lack of corroboration, we must also reject the ancient one. Time does not transform an implausible miracle into credible history. Extraordinary claims demand extraordinary evidence, and when silence replaces corroboration, the rational verdict is non-acceptance.
Free of Faith 
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