May 30, 2011

Why Science Conforms to Mathematics

...in four premises.
  1. All mathematical truths are definitional facts and their inferences. (They are axioms and theorems.).
  2. Their truths are pan-empirical.
  3. If an empirical statement contradicts a mathematical truth, then it is a falsehood.
  4. Causation is the correct identification of two portions of an identical empirical event. (Causation dissolves the myth that two distinct events were actually two distinct events at all.)
In other words, conformity to tautology is the gold standard for truth in any epistemic endeavor, and if an empirical statement conforms to that standard, then it is defensibly a fact until (a) another defensible fact falsifies the initial statement or (b) the empirical predictions follow with mathematical regularity (they are sufficiently proven as premise (4). Falsifiability still holds for (b), since non-falsifiable pseudo-science (simply, but more elaborately stated in tense-logical terms) claims the nonsensical (A ∨ ¬A) ⇒ B) ∧¬(∅ ⇒ B).

Of these four premises, the first needs the most unpacking, since definition is a result of use of necessary empirical divisions, and the axiomatic statements of logic and math are statements about how all languages operate and the bare transformations that one can perform once those operations are clear.

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