@misc{Lexicon of Arguments, title = {Quotation from: Lexicon of Arguments – Concepts - Ed. Martin Schulz, 29 Mar 2024}, author = {Leibniz, G.W.}, subject = {Infinity}, note = {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. >Possibility/Leibniz, >Possible world/Leibniz. 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. See the discussion on Researchgate: >"Are there infinitely many possible 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. 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. Limit/knowledge/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". I 155 cf. Helmuth Plessner: "Material a priori": the boundary is a material determinant moment of every finite being.}, note = { Lei II G. W. Leibniz Philosophical Texts (Oxford Philosophical Texts) Oxford 1998 }, file = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=434702} url = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=434702} }