296
edits
Changes
Jump to navigation
Jump to search
Line 27:
Line 27: + + + + + + + + + + +
no edit summary
::: It is absurd. Indeed, the point of the "proof" was to show how absurd it is.--[[User:Aschlafly|Aschlafly]] 23:14, 2 August 2008 (EDT)
::: It is absurd. Indeed, the point of the "proof" was to show how absurd it is.--[[User:Aschlafly|Aschlafly]] 23:14, 2 August 2008 (EDT)
==Willard quote==
I "prettied up" the quote from General Topology, but in context, Willard might not be the best person to quote after saying "many mathematicians reject the Axiom of Choice". Immediately before describing the axiom, he writes:
<blockquote>The following axiom is assumed by most mathematicians when they need it, to the unremitting disgust of a few.</blockquote>
And after the text quoted in the article:
<blockquote>The status of the axiom of choice bears some resemblance to that of the continuum hypothesis, with some differences. It, too, is known to be independant of the other axioms of set theory (that is, it or its negation can be consistently assumed), but it enjoys the status of an accepted part of the theory of sets in the minds of most modern mathematicians; that is, the intuition of almost all mathematicians now is that the axiom of choice should be assumed when needed without hestitation. Moreover, it is usually clearer that, where it is used, it is needed, so that its presence does not usually provoke the same frenzy of attempt to eliminate it.</blockquote>
[[User:Wandering|Wandering]] 23:57, 2 August 2008 (EDT)