Philosophy Lexicon of Arguments

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Leibniz, G.W.
 
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Infinity Holz 63
Finite/infinite/Leibniz: the set of possible objects of experience must be assumed to be infinite, because otherwise there ought to be a cause for reason why these should not be infinite, and there can be no such thing.
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I 64
Language/infinite/finite/statement/fact/Leibniz: so there must be an infinite set of facts and correspondingly an infinite set of statements! (Factual truths). A finite mind, however, is incapable of reducing it to a finite set of identical sentences.
One never possesses a (full) proof, although there is always a reason for the truth! This reason can be fully understood by God alone.
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Holz I 73/74
Infinity/construction/Leibniz: Leibniz makes the general connexion in an infinite set construible for the finite mind as the mathematically infinite, as a boundary concept in an infinitesimal method of construction.
Border/Leibniz/Holz: every finite mind has only the knowledge of a limited section, but also the realization that a boundary exists, and with it a world which extends beyond this limit.
Holz: the ability to exceed is an a priori determination of "boundaries". (Holz I 155 Helmuth Plessner: "Material a priori": the boundary is a material determinant moment of every finite being.)

Lei II
G. W. Leibniz
Philosophical Texts (Oxford Philosophical Texts) Oxford 1998

Lei I
H. H. Holz
Leibniz Frankfurt 1992


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Ed. Martin Schulz, access date 2017-03-29