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We think, contrarily to Wittgenstein, that the theorems of mathematics are not tautologies, in the form a=a, but identifications, in the form a-a’: a and a’ are identified.
This has several consequences. First, since we postulate that the activity of the mind is just the result of identifications in the form (a-a’), it means that mathematics are the very activity of the mind. Second it means that we can explain how knowledge grows, by a series of identifications, in an imaginary manner (what is possible to identify is effectively identified). So we’ll witness a collapse of this knowledge at a regular rate, which works like a bubble (at the moment when our understanding grasps the network of identifications as what it is truly, a network of identifications). We’ll give some examples of this collapse in mathematics.
29 November 2017
Einstein-Kahler metrics on first class varieties of Chern positive: the problem of the existence of an Einstein-Kahler metric on a Kahler variety V has already been studied extensively and T. […]