Philosophy Dictionary of ArgumentsHome
| |||
|
| |||
| Continuum: The continuum in mathematics is a compact, connected, metric space. It is a mathematical concept that captures the idea of a continuous, unbroken whole. The real numbers, for example, are a continuum. See also Real numbers, Continuum hypothesis, Compactness._____________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 | Concept | Summary/Quotes | Sources |
|---|---|---|---|
|
B. Russell on Continuum - Dictionary of Arguments
Bertrand Russell: Die Mathematik und die Metaphysiker 1901 in: Kursbuch 8 Mathematik 1967 21 Continuum/Cantor/Russell: by solving the problems of infinity, Cantor was able to solve the problems of continuity. The concept of continuity is conditioned by the concept of order, the continuum is only a special kind of order. >Order, >Levels, >Continuum hypothesis._____________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 |
||
Ed. Martin Schulz, access date 2024-04-16