Philosophy Dictionary of ArgumentsHome
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| Mathematics: Mathematics is the study of patterns and relationships. It encompasses arithmetic, algebra, calculus, geometry, trigonometry, topology, and others. Mathematics is used in science, engineering, business, and finance. See also Physics, Logic._____________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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Moritz Schlick on Mathematics - Dictionary of Arguments
Thiel I 40/41 Mathematics/Moritz Schlick/Thiel: Mathematics is a system of signs with exclusively syntactic relations, and accordingly the field of application is not the world of facts, but only the sign system of language. There is no point in asking questions about the application conditions of mathematics. ThielVsSchlick: can the problem really be solved like this? The language of Schlick is not the everyday language, but already strictly regulated. Our interpretations always give the signs additional meaning. Why are some sign systems transferable to reality, but not others? >Everyday language, >Signs, >Symbols, >Systems, >Formalism, >Formalization, >Formal language. I 42 Russell (1903)(1), if "empirical constants" are used for variables, it must be examined each time whether the formulas are fulfilled. >Variables, >Logical constants. Mathematics would then only be transferable insofar as it is "isomorphic" (equal in structure) with the world of experience. 1. Bertrand Russell (1903). The Principles of Mathematics._____________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. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Schlick I Moritz Schlick "Facts and Propositions" Analysis 2 (1935) pp. 65-70 In Theories of Truth, Paul Horwich, 1994 Schlick II M. Schlick General Theory of Knowledge 1985 T I Chr. Thiel Philosophie und Mathematik Darmstadt 1995 |
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> Counter arguments against Schlick
> Counter arguments in relation to Mathematics
Ed. Martin Schulz, access date 2024-04-18