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- W2058776979 abstract "This paper is a discussion of Godel's arguments for a Platonistic conception of mathematical objects. I review the arguments that Godel offers in different papers, and compare them to unpublished material (from Godel's Nachlass). My claim is that Godel's later arguments simply intend to establish that mathematical knowledge cannot be accounted for by a reflexive analysis of our mental acts. In other words, there is at the basis of mathematics some data whose constitution cannot be explained by introspective analysis. This does not mean that mathematics is independent of the human mind, but only that it is independent of our ‘conscious acts and decisions’, to use Godel's own words. Mathematical objects may then have been created by the human mind, but if so, the process of creation cannot be completely analysed and re-enacted. Such a thesis is weaker than some of the statements that Godel made about his conceptual realism. However, there is evidence that Godel seriously considered this weak thesis, or a po..." @default.
- W2058776979 created "2016-06-24" @default.
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- W2058776979 date "2005-09-01" @default.
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- W2058776979 title "Gödel and ‘the objective existence’ of mathematical objects" @default.
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- W2058776979 doi "https://doi.org/10.1080/01445340500112124" @default.
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