|Formalism: the thesis that statements acquire their meaning only from the rules for substituting, inserting, eliminating, forming, equality and inequality of symbols within a calculus or system. See also calculus, meaning, rules, content, correctness, systems, truth._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. |
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|Arend Heyting Ein Streitgespräch 1956 in Kursbuch 8 Mathematik 1967
Formalism/Carnap/Heyting: There always remains the doubt, which conclusions are correct, and which are not. (Carnap, 1934).
"Letter"/Darkness of the paper/Formalism/Heyting: Thesis of the "pragmatism" of mathematics: Mathematics is a very simple thing, I take a few signs and give some rules how they are combined. Why should I prove them? They are made with regard to applications.
_____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.
Intuitionism: An Introduction (Study in Logic & Mathematics) 1971