Philosophy Lexicon of Arguments
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| Infinity Axiom: The infinity axiom is an axiom of set theory, which ensures that there are infinite sets. It is formulated in e.g. such a way that a construction rule is specified for the occurrence of elements of a described set. If {x} is the successor of x, the continuation is formed by the union x U {x}. See also set theory, successor, unification, axioms._____________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 |
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| VII 93 Axiom of infinity/QuineVsRussell: Principia Mathematica must be supplemented by the axiom of infinity when certain mathematical principles are to be derived. - Axiom of infinity: ensures the existence of a class with an infinite number of elements - New Foundations/Quine: instead comes with the universal class of ϑ or x^ (x = x)._____________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. |
Q I W.V.O. Quine Wort und Gegenstand Stuttgart 1980 Q II W.V.O. Quine Theorien und Dinge Frankfurt 1985 Q III W.V.O. Quine Grundzüge der Logik Frankfurt 1978 Q IX W.V.O. Quine Mengenlehre und ihre Logik Wiesbaden 1967 Q V W.V.O. Quine Die Wurzeln der Referenz Frankfurt 1989 Q VI W.V.O. Quine Unterwegs zur Wahrheit Paderborn 1995 Q VII W.V.O. Quine From a logical point of view Cambridge, Mass. 1953 Q VIII W.V.O. Quine Bezeichnung und Referenz In Zur Philosophie der idealen Sprache, J. Sinnreich (Hg), München 1982 Q X W.V.O. Quine Philosophie der Logik Bamberg 2005 Q XII W.V.O. Quine Ontologische Relativität Frankfurt 2003 |
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Ed. Martin Schulz, access date 2018-06-20