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Yes, Bayes’ Theorem is a legitimate mathematical and philosophical tool for evaluating biblical miracles. However, because the theorem requires subjective inputs—like the initial probability of a miracle occurring and the reliability of ancient texts—scholars debate how definitively it can prove or disprove specific events. [1, 2, 3]
The Bayesian Formula:
Bayes’ theorem calculates the probability of a hypothesis (H) being true given certain evidence (E).
The Components:
Evaluating miracles using this theorem involves three key factors:
[1] Prior Probability P(M):
Your initial assessment of the likelihood of a miracle occurring before considering the specific evidence. Skeptics often argue this is near zero, while proponents argue it is higher based on the existence of an active, intervening Creator. [1, 3, 4]
Likelihood P(T|M):
The probability that we would have the existing historical records and testimony if the miracle actually happened. [1]
False Positive Rate \(P(T\vert{}\sim M)\):
The probability of getting that same testimony or record even if the miracle did not happen (e.g., due to human error, legend, or deception). [1]
The Debate in Scholarship:
While the method itself is logically sound, applying it to the Bible sparks intense scholarly disagreement: [1, 2]
The Skeptic's View:
Philosopher David Hume argued that the prior probability of a miracle is infinitely low because it violates established laws of nature. Consequently, the likelihood of human testimony being mistaken will almost always outweigh the probability of the miracle itself, making it irrational to believe. [*See Below]
The Apologist's View:
Many Christian thinkers (including Reverend Thomas Bayes himself) created the theorem to counter Hume. They argue that if you factor in the premise that God exists, the prior probability is not zero. Furthermore, if the historical evidence is very strong, the math dictates that the final probability can rationally shift to favor the miracle. [1, 2, 3, 5]
Scholarly Nuance:
On platforms like Stanford Encyclopedia of Philosophy, experts point out that assigning objective numbers to these subjective variables (the "problem of the priors") is ultimately impossible, meaning Bayes' theorem is better used as a logical framework for evaluating arguments rather than a strict calculator. [1, 2]
Yes, Bayes’ Theorem is a legitimate mathematical and philosophical tool for evaluating biblical miracles. However, because the theorem requires subjective inputs—like the initial probability of a miracle occurring and the reliability of ancient texts—scholars debate how definitively it can prove or disprove specific events. [1, 2, 3]
The Bayesian Formula:
Bayes’ theorem calculates the probability of a hypothesis (H) being true given certain evidence (E).
The Components:
Evaluating miracles using this theorem involves three key factors:
[1] Prior Probability P(M):
Your initial assessment of the likelihood of a miracle occurring before considering the specific evidence. Skeptics often argue this is near zero, while proponents argue it is higher based on the existence of an active, intervening Creator. [1, 3, 4]
Likelihood P(T|M):
The probability that we would have the existing historical records and testimony if the miracle actually happened. [1]
False Positive Rate \(P(T\vert{}\sim M)\):
The probability of getting that same testimony or record even if the miracle did not happen (e.g., due to human error, legend, or deception). [1]
The Debate in Scholarship:
While the method itself is logically sound, applying it to the Bible sparks intense scholarly disagreement: [1, 2]
The Skeptic's View:
Philosopher David Hume argued that the prior probability of a miracle is infinitely low because it violates established laws of nature. Consequently, the likelihood of human testimony being mistaken will almost always outweigh the probability of the miracle itself, making it irrational to believe. [*See Below]
The Apologist's View:
Many Christian thinkers (including Reverend Thomas Bayes himself) created the theorem to counter Hume. They argue that if you factor in the premise that God exists, the prior probability is not zero. Furthermore, if the historical evidence is very strong, the math dictates that the final probability can rationally shift to favor the miracle. [1, 2, 3, 5]
Scholarly Nuance:
On platforms like Stanford Encyclopedia of Philosophy, experts point out that assigning objective numbers to these subjective variables (the "problem of the priors") is ultimately impossible, meaning Bayes' theorem is better used as a logical framework for evaluating arguments rather than a strict calculator. [1, 2]
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* Hume also discussed the Likelihood P(T|M) AND the False Positive Rate \(P(T\vert{}\sim M)\)
Often neglected, Hume offered four additional or supplemental arguments that discussed the "likelihood" and "false positive rate" in Part 2 of Chapter 10 of the Enquiry.
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