|Knowledge: Knowledge is a conscious relationship to sentences or propositions, which legitimately attributes to them truth or falsehood. What is known is true. Conversely, it does not apply that everything that is true is also known. See also knowledge how, propositional knowledge, realism, abilities, competence, truth, facts, situations, language, certainty, beliefs, omniscience, logical knowledge, reliability_____________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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|Stalnaker I 41
Knowledge/Causal Theory/Mathematics/Benacerraf/Stalnaker: for mathematics we should expect a semantics that is a continuation of the general semantics. Existence statements about numbers, functions, and sets should be interpreted with the same truth-conditional semantics as sentences about tables, quarks, etc.
Platonism/Mathematics/Benacerraf: Platonism gives a natural semantics, but it does not allow plausible epistemology.
Reference/Benacerraf: thesis: real reference needs a causal connection._____________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.
Philosophy of Mathematics 2ed: Selected Readings Cambridge 1984
Ways a World may be Oxford New York 2003