Philosophy Dictionary of ArgumentsHome | |||
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Infinity, infinite, philosophy: the result of a procedure that never ends, e.g. counting or dividing, or e.g. the continued description of a circular motion. In lifeworld contexts, infinitely continued processes such as infinite repetition or never-ending waiting are at least not logically contradictory. A formation rule does not have to exist for an infinite continuation to occur, as is the case, for example, with the development of the decimal places of real numbers. See also limits, infinity axiom, repetition, finitism, numbers, complex/complexity._____________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 |
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G.W.F. Hegel on Infinity - Dictionary of Arguments
Holz I 87 Infinity/scholasticism/Holz: infinity allows a syncategorematic but not a categorematic infinite ((s) that is, that "infinite" can always occur together with the idea of a unity.) >Syncategorematic. The truly infinite is not a modification but the absolute. >Absoluteness, >Absoluteness/Hegel. Holz I 87 Poor infinity/Hegel: poor infinity is the mere progress of addition. Holz: this must be metaphysically founded by the principle of the sufficient ground, according to which the multiplicity is traced back to the unity of the origin. >Foundation, >Sufficient reason, >Metaphysics, >Beginning/Hegel, >Unity and multiplicity._____________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. |
Holz I Hans Heinz Holz Leibniz Frankfurt 1992 Holz II Hans Heinz Holz Descartes Frankfurt/M. 1994 |