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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Bertrand Russell on Mathematics - Dictionary of Arguments
Thiel I 52 Mathematics/Russell/Thiel: Joke Definition: Mathematics is the science in which we never know what we are talking about, nor whether what we are talking about is true. >Complete induction. E.g. Proof of irrationality of root 2 (Geometric) E.g. Proof Principle: Principle of Complete Induction (is a version which refers to the properties of the basic numbers, not to the set theory). Tallies instead of sequences of numbers in the complex decimal system. The induction principle serves to prove that a property "E" does not only belong to some, but also to all the basic numbers .... + I 54 ff >Induction, >Deduction._____________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. |
Russell I B. Russell/A.N. Whitehead Principia Mathematica Frankfurt 1986 Russell II B. Russell The ABC of Relativity, London 1958, 1969 German Edition: Das ABC der Relativitätstheorie Frankfurt 1989 Russell IV B. Russell The Problems of Philosophy, Oxford 1912 German Edition: Probleme der Philosophie Frankfurt 1967 Russell VI B. Russell "The Philosophy of Logical Atomism", in: B. Russell, Logic and KNowledge, ed. R. Ch. Marsh, London 1956, pp. 200-202 German Edition: Die Philosophie des logischen Atomismus In Eigennamen, U. Wolf (Hg), Frankfurt 1993 Russell VII B. Russell On the Nature of Truth and Falsehood, in: B. Russell, The Problems of Philosophy, Oxford 1912 - Dt. "Wahrheit und Falschheit" In Wahrheitstheorien, G. Skirbekk (Hg), Frankfurt 1996 T I Chr. Thiel Philosophie und Mathematik Darmstadt 1995 |
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> Counter arguments against Russell
> Counter arguments in relation to Mathematics
Ed. Martin Schulz, access date 2024-04-19