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Mathematically undemonstrable
Tuesday May 19th, 2009 , h.20,30
Modern philosophy, from Descartes to Husserl, has mainly been focused on
the seeking of certainties. Such a research obtained new meaning and greater
urgency in the course of the 19th century when the discovery of paradoxes in
the very bases of mathematics has brought up the problem of certainty within
this discipline that for more than 2 thousands years has been considered as
the paradigm of certainty. In order to reestablish the certainty in mathematics,
Frege, Hilbert and Brouwer have formed their programs of re-founding mathematics.
But the three theorems of incompleteness presented by Gödel made all hope on these
programs vanish. This makes it necessary to completely re-invent the nature of mathematics,
bypassing every dogma of the last century.
Claudio Bernardi
Mathematician
Carlo Cellucci
Philosopher
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