¿Shifting Paradigms? • 5

Re: Peter CameronInfinity and Foundation

We always encounter a multitude of problems whenever we try to rationalize mathematics by reducing it to logic, where logic itself is reduced to a purely deductive style.  A number of thinkers have proposed it is time — well past time — to stop counting so heavily on that idea and to join a Declaration of Independence for Mathematics.

This entry was posted in Algorithms, Boole, C.S. Peirce, Combinatorics, Computation, Foundations of Mathematics, Inquiry, Laws of Form, Leibniz, Logic, Mathematics, Model Theory, Paradigms, Peirce, Proof Theory, Spencer Brown and tagged , , , , , , , , , , , , , , , . Bookmark the permalink.

2 Responses to ¿Shifting Paradigms? • 5

  1. Davis and Hersh come to mind here, as well a Tymozco (sp?).  In his later book, Hersh specifically mentions Dewey (that would be chapter XX of the greater logic) as a member of “the fold”.

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