|Infinity, infinite, philosophy: infinity is a result of a not stopping procedure, e.g. counting or dividing, or e.g. the continued description of a circular motion. In life-related contexts, infinitely continuous processes, e.g. infinite repetition, or never ending waiting are at least logically not contradictory. A construction rule does not have to exist to give an infinite continuation, such as e.g. in the development of the decimal places of real numbers. See also boundaries, 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. |
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|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.)
The truly infinite is not a modification but the absolute.
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._____________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.
H. H. Holz
Leibniz Frankfurt 1992