|Platonism: Platonism in the narrower sense is the thesis in modern philosophy that some ideas and mental objects, especially ideas, are attributed reality. Various authors are Platonists with respect to e.g. numbers, mathematical entities, or universals. In contrast, e.g. intuitionism of mathematics assumes that numbers are not objects. This distinction has a significant effect on the logical formalisability of statements of mathematics. See also nominalism, mathematical entities, theoretical entities, completeness, evidence, fictions._____________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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Def Liberal Platonism / LP / terminology / Stalnaker: (early thesis): if the practice is legitimate (inferences, etc.) then we really make assertions and the semantics tells us really what the statements say - causal connection as a condition of reference is then superfluous. - Problem: the existence of numbers can not be constituted by a practice.
Liberal Platonism / Stalnaker: Solution: commitment to numbers is constituted by the endorsement of the practice. -
Liberal Platonism: in contrast to the MR is still verificationistic._____________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.
Ways a World may be Oxford New York 2003