Sunday, January 8, 2012

Axioms and Propositions

Axiom. Theorem. Starting point. Proposition. Premise. Assertion. Proof. Argument.
Before any argument, containing, say, two propositions, axioms for each premise should be stated first, so we know where the propositions are coming from and why we assume they are true.

It's not enough to say you based your decision on logic. Logic, but based on which set of axioms? Axioms of principles, values, feelings, or physics laws? Or, logic that uses axioms and premises on a hybrid axiomatic system, perhaps a combination of two or more mentioned? Perfect logical reasoning with wrong assumption is useless. That kind of logical reasoning is almost always worse than using intuition.

[ mathematics, math, applied mathematics, applied math, logic, mathematical logic, inventions, innovations,  ]

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