email@example.com wrote: > Stephen Montgomery-Smith wrote: > >>[snip] >>The responses have led me to think that some people here believe in the >>modern axiomatic system like a religion. > > > An axiomatic system is just a method of singling out a set of > propositions (those that follow from the axioms). For example, > the Peano axioms for natural numbers select a very definite > subset of all the posible propositions (those that follow from > the axioms). > > Axiomatic systems are thus just tools. In particular, the idea > of "believing in the modern axiomatic system" makes as > much sense as that of "believing in hammers".