PHILOS 1E03 Lecture Notes - Lecture 2: Bernard Bolzano, Bertrand Russell, Absolute Infinite

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Can god"s existence be proven: the existence of god. Last time we looked at zeno"s arguments about the perfections of the cosmos, and adapted them to god: What exists is better than what does not exist. ^seems like a valid argument, reading only the added premise that something exists. and we noted similarity to anselm"s: What actually exists is greater than what is merely thought to exist. Gaunilo objects: for i certainly do not yet admit this greater [than everything] to be any truly existing thing . (25) cf. ^similar to gottfried leibniz"s objection (1646-1716) to descartes" later version of. But our concepts of god, as the most perfect being, contains all perfections. Therefore existence is part of the very concept of god. Bernard bolzano (1781-1848) argued that the actual infinite: Consider all thinkable things, and suppose that we collect them together into a set, the set of all thinkable things. But now that set is itself a thinkable thing.

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