## Dictionary of Arguments | |||

| |||

Analytic/synthetic: achieved by decomposition or by composition. In philosophy analytically true = true according to the meaning of the components - synthetic insight = substantial expansion of knowledge._____________ 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. | |||

Author | Item | Summary | Meta data |
---|---|---|---|

I XII Analytic/synthetic/Waismann: Mill and Mach claimed that mathematical propositions were of empirical origin, Kant, the arithmetic and geometrical propositions are synthetic judgments a priori. Poincaré: although arithmetic propositions are synthetically a priori, but the geometric ones are analytical. Frege: the arithmetical ones are analytical, the geometric ones are synthetic. Russell: all mathematical propositions are analytical. Today (1947) it is often said that logic is a system of tautologies and mathematics is a >part of logic. _____________ 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. The note [Author1]Vs[Author2] or [Author]Vs[term] is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Waismann I F. Waismann Einführung in das mathematische Denken Darmstadt 1996 Waismann II F. Waismann Logik, Sprache, Philosophie Stuttgart 1976 |

> Counter arguments against **Waismann**

Ed. Martin Schulz, access date 2019-02-20