These terms are meaningless without context.
THREE POSSIBLE SYSTEMS
1) Axiomatic declarative statements. (mathematics) *proof* of possibility.
Axiomatic systems consist of construction of proofs of internal consistency ONLY.
Mathematical systems are axiomatic (declared), informationally complete, and causally trivial therefore deduction is possible.
Deductivity requires informational completeness. Induction (guessing) requires only information sufficient to guess. Abduction requires nothing more than free association.
2) Rational justificationary statements.(common law) *justification* of permissiveness.
Similar to axiomatic systems, justificationary systems, allow us to state that a proposition is permitted or not, but not whether it is true or not.
3) Theoretic descriptive statements.(science) *truth*. Survival from criticism.
Theoretic systems: observation > free association > wayfinding > hypothesis > testing, instrumentation and measurement > theory > survival in application in reality > Law.
Aside from reductio questions, theoretic (descriptive) systems do not allow for deduction. In those special cases we mistakenly call apriori, rather than just ‘trivial’.
Source date (UTC): 2017-05-08 14:22:00 UTC
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