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Axiomatic Method and Category Theory
axiomatic method category theory geometry logic intuition structuralism
2016/5/27
Lawvere’s axiomatization of topos theory and Voevodsky’s axiomatization of heigher homotopy theory exemplify a new way of axiomatic theory-building, which goes beyond the classical Hibert-style Axioma...
Bell, Bohm, and von Neumann: Some philosophical inequalities concerning No-go Theorems and the axiomatic method
Bell's theorem quantum mechanics hidden variables
2008/4/10
The paper investigates the philosophical relationship between John von Neumann's No-hidden-variable theorem and Bell's inequalities. Bell erroneously takes the axiomatic method as implying a finality ...
How Metaphysical is "Deepening the Foundations"? - Hahn and Frank on Hilbert's Axiomatic Method
David Hilbert Vienna Circle Hans Hahn Philipp Frank
2008/3/31
Only recently, David Hilbert's program to axiomatize the sciences according to the pattern of geometry has left the shade of his formalist program in the foundations of mathematics. This relative negl...
How Metaphysical is "Deepening the Foundations"? - Hahn and Frank on Hilbert's Axiomatic Method
David Hilbert, Vienna Circle, Hans Hahn, Philipp Frank, axiomatic method, Principle of Least Action
2011/9/8
Only recently, David Hilbert's program to axiomatize the sciences according to the pattern of geometry has left the shade of his formalist program in the foundations of mathematics. This relative negl...