Document Type : Research
Abstract
In article of “social factors in mathematical and logical knowledge” The Author shows that social factors are determinant in logical and mathematical knowledge as differences of mathematicians, variety of contradiction in Reductio ad absurdum, deconstruction in infinite values, Wittgenstein`s analysis of Sum, change of the concept of evidence in history, Begging the question of proof of axioms, Begging the question of justification of logical rules by the value tables, Prior`s argument against formalists, absence of preference for psychological explanations against sociological ones, paradoxes of material implication, To appeal to intuition rather than reasoning, the critique of circular reasoning, conventionality of logical rules, harvest paradox …
In analysis of this evidences, first, I determined minimalistic evidences as the principle of contradiction, modus ponens, reductio ad absurdum. Second, I analyzed the cases as Infinite values, Wittgenstein`s point of view, value tables, Prior`s argument, convention,
Lack of necessity in obviousness of concepts in the obvious propositions, uncertain conceptions… At last I showed that social factors are not considered essential in logical and mathematical knowledge.
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