➘ #06 Source Article
Below are two complementary formalisms (likelihoodist and first-order with a reductio) that capture the core claim: the observed pattern of normative directives in the Bible (variability, non-universality, ambiguity, and limited accessibility) is far more expected on a human-cultural authorship hypothesis than on an immutable-divine authorship hypothesis.
A) Likelihoodist/Bayesian framing
Hypotheses:
◉ The Bible was authored (or decisively inspired) by an omniscient, omnipotent, immutable deity whose intent was to provide humanity with normative directives that are universally valid across all times and cultures, internally consistent, unambiguous, and broadly accessible.
◉ The Bible is a human cultural product composed and compiled by individuals and communities in specific historical contexts, reflecting the limitations, biases, and local concerns of their time, without the guarantee of universal applicability, perfect consistency, unambiguous clarity, or global accessibility.
Let the evidence be the 4-tuple
Predictive expectations:
Likelihood ratio (Bayes factor):
Posterior odds update:
Conclusion schema:
(Here, each coordinate of is instantiated in the text by cross-temporal variance, covenant-boundedness, interpretive instability, and restricted audience scope, respectively.)
B) First-order expectation–violation schema
Vocabulary (sorted by context/time/community indices):
Domains: times ; communities/cultures
.
Predicates on a directive set :
,
,
,
.
Functions: = the set of Bible-attributed directives salient at latex[/latex].
Expectation under immutable-divine authorship:
Observed pattern (abbreviated with witnesses ):
;
;
;
.
From these, by conjunction-introduction:
Therefore:
where abbreviates the 4-property conjunction. Hence
(or, minimal retreat:
loses explanatory power relative to
).
C) Reductio internal to the realist/theological frame
Let = “God’s normative will is unchanging,” and
= “Bible expresses directive
.”
Assume for reductio:
Data instances (schematic oppositions—e.g., enemy-love vs. total-war injunctions across contexts):
Closure from the assumption:
But:
Contradiction; discharge:
Minimal takeaway: not all Bible-level directives can equally be expressions of a single immutable divine will; the observed incompatibilities require downgrading that claim—which, per (A), shifts evidential weight toward .
◉ A reader-friendly explanation of the symbolic logic above.
A) Likelihoodist/Bayesian framing
What this means in plain English:
We’re comparing two competing explanations for the Bible’s origin:
- H₁: The Bible came from an all-knowing, all-powerful, never-changing God who wanted to give humanity normative directives (rules or guidance) that work for everyone, everywhere, for all time—always clear, consistent, unambiguous, and easy to access.
- H₂: The Bible is a human cultural creation, shaped by specific times, places, and communities, with all the limitations and biases that come with that.
We look at the evidence (E)—the Bible’s directives are not perfectly consistent, universal, clear, or accessible. This evidence fits much better with the human-origin hypothesis (H₂) than with the divine-origin hypothesis (H₁).
Bayesian logic part:
- If E is far more likely under H₂ than H₁, the likelihood ratio (LR) is much greater than 1.
- A big LR means the evidence pushes our confidence toward H₂ and away from H₁.
- Conclusion: The observed pattern in the Bible—variability, ambiguity, cultural specificity—strongly supports human authorship over divine authorship.
B) First-order expectation–violation schema
What this means in plain English:
Here, the logic focuses on what we would expect to see if the Bible came from an unchanging, perfect God, and compares that to what we actually observe.
- Expectation under H₁: Every directive in the Bible, for all times and cultures, should be consistent, universal, clear, and accessible.
- What we actually find:
- Some directives contradict each other.
- Some are not universal (apply only to certain people or times).
- Some are unclear.
- Some are not accessible to all (due to language, historical, or cultural barriers).
By putting all these observations together, the required perfection fails. That means H₁ is false or at least has much less explanatory power than H₂.
C) Reductio internal to the realist/theological frame
What this means in plain English:
This part steps inside the theological worldview to show an internal contradiction.
Conclusion:
At least one of those two claims (“God’s will never changes” or “Every biblical directive comes from God”) must be false. This contradiction forces the realist/theologian to downgrade their claim, and this in turn (per section A) shifts the weight toward the human-authorship hypothesis.message wrote it. Therefore, the evidence tilts heavily toward human authorship.
Assumption for argument’s sake:
God’s will never changes (Imm(G)).
Every directive in the Bible comes directly from God.
Observation:
Some Bible directives are incompatible—for example, “love your enemies” vs. commands for total war and destruction in other contexts.
Problem:
If God’s will is unchanging, then two incompatible directives cannot both come from God. But the Bible contains such incompatibilities.
◉ Prose Version:
The analysis begins by comparing two possible explanations for the Bible’s origin. The first hypothesis (H₁) is that the Bible was authored, or decisively inspired, by an all-knowing, all-powerful, unchanging God whose aim was to give humanity clear, consistent, universally valid directives that would be relevant for all times and cultures. The second hypothesis (H₂) is that the Bible is a human product, emerging from specific historical communities with their own limitations, biases, and cultural concerns, without any guarantee of universal applicability, perfect consistency, or unambiguous clarity.
When we look at the actual state of the Bible’s directives, we see that they are often inconsistent, not universally applicable, sometimes unclear, and not equally accessible to all people. If we think in Bayesian terms, this evidence is far more likely if the Bible is a human cultural document than if it came from an unchanging divine mind. The likelihood ratio—the measure of how much more likely the evidence is under one hypothesis than the other—leans heavily toward human authorship.
A second way to frame this is through expectation and violation. If H₁ were true, we would expect that in every time and cultural setting, every biblical directive would be consistent with the others, universally applicable, clear in meaning, and easily accessible. But in reality, we can find examples of contradictions between directives, rules that apply only in specific times or places, instructions that are ambiguous, and teachings that are inaccessible to many due to language or cultural barriers. Since these failures are widespread, the combined expectation of consistency, universality, clarity, and accessibility is not met, which weakens H₁ and strengthens the case for H₂.
Finally, we can examine the matter from within a theological framework using a reductio ad absurdum. Suppose we accept, for argument’s sake, that God’s will is unchanging and that every directive in the Bible directly expresses God’s will. Yet the Bible contains directives that are incompatible—for instance, passages commanding love for enemies alongside passages commanding total war and destruction. If God’s will is truly unchanging, such incompatibilities cannot both be genuine expressions of it. This creates a contradiction, forcing a choice: either God’s will does change, or not every biblical directive comes from God. Either way, the original theological claim loses coherence, and this reduction in explanatory power points us back to the conclusion from the first analysis—human authorship is the better explanation.



Leave a comment