🏛️ STEP 1: Define the Hypotheses
We have two competing explanations for the Sinai pattern:
- H₀: Naturalistic origin – The Sinai story emerged via purely human processes
- H₁: Actual event – The Sinai revelation occurred historically as described
We want to calculate relative plausibility based on the features we have.
🧮 STEP 2: Identify Key Features
The features we want to include:
| Feature | Probability if H₀ (natural) | Probability if H₁ (event) |
|---|---|---|
| Mass national revelation claim | 0.001 | 0.95 |
| “You were there” framing | 0.001 | 0.95 |
| Law + societal structure | 0.1 | 0.95 |
| Anti-idolatry, counter-intuitive | 0.1 | 0.95 |
| Predictive survival through exile | 0.01 | 0.95 |
Note: Probabilities for H₁ are generous (allowing for human compliance, retention, etc.)
Probabilities for H₀ are intentionally generous to give the naturalistic model every chance.
🏛️ STEP 3: Compute Likelihoods
🔹 Likelihood of features under H₀ (natural origin):
Multiply probabilities:
P(features | H₀) = 0.001 × 0.001 × 0.1 × 0.1 × 0.01
Step-by-step:
- 0.001 × 0.001 = 0.000001
- 0.000001 × 0.1 = 0.0000001
- 0.0000001 × 0.1 = 0.00000001
- 0.00000001 × 0.01 = 0.0000000001
P(features | H₀) ≈ 1 × 10⁻¹⁰
🔹 Likelihood of features under H₁ (actual event):
Multiply probabilities:
P(features | H₁) = 0.95 × 0.95 × 0.95 × 0.95 × 0.95
Step-by-step:
- 0.95 × 0.95 = 0.9025
- 0.9025 × 0.95 = 0.857375
- 0.857375 × 0.95 = 0.81450625
- 0.81450625 × 0.95 ≈ 0.7738
P(features | H₁) ≈ 0.774
🏛️ STEP 4: Apply Bayes’ Ratio
We don’t need exact priors—just the likelihood ratio:
LR = P(features | H₁) / P(features | H₀)
LR ≈ 0.774 / 1×10⁻¹⁰
LR ≈ 7.74 × 10⁹
🧠 STEP 5: Interpret the Likelihood Ratio
The Sinai pattern is ~7.7 billion times more likely if it is a real event than if it emerged purely naturally.
Even if you reduce H₁ probabilities to be more conservative, LR still remains extraordinarily high.
- Naturalistic origin = extremely strained
- Actual event = overwhelmingly consistent
⚖️ STEP 6: Bayesian Forensic Verdict
- Naturalistic explanation is technically possible, but requires an implausible convergence of extreme coincidences
- Sinai as actual event explains the full dataset cleanly
- Evidence strongly favors H₁ over H₀ by many orders of magnitude
In Tanakh-only forensic terms: the probability tree strongly points to the Sinai Standard being real rather than a mere human fabrication.
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