tag:blogger.com,1999:blog-264226589944705290.post251071834524825767..comments2021-12-14T05:53:12.175-08:00Comments on God Plays Dice: Two quotes from Principia Mathematica (Russell and Whitehead)Michael Lugohttp://www.blogger.com/profile/15671307315028242949noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-264226589944705290.post-14075548574480358302008-04-13T20:52:00.000-07:002008-04-13T20:52:00.000-07:00It's very useful in everyday life. So for all thos...It's very useful in everyday life. So for all those people who carry Russell and Whitehead around at the supermarket it's certainly critical.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-8444425777790528572008-04-13T08:13:00.000-07:002008-04-13T08:13:00.000-07:00Useful? Yes. And in the same spirit.Early on in my...Useful? Yes. And in the same spirit.<BR/><BR/>Early on in my Algebra I course we review (it's not always review) some properties of real numbers. I like talking about closure. The kiddies usually have not heard about closure. And we talk about "proof by counterexample". I present them with evidence that the natural numbers are not closed for subtraction.<BR/><BR/>And then I ask them to 'prove' something: "Show evidence that the set {0,1} is not closed under addition"<BR/><BR/>I should thank Bertrand Rusell every time I get to that spot... <BR/><BR/>JonathanAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-71349861276020610232008-04-12T15:58:00.000-07:002008-04-12T15:58:00.000-07:00Well, not really, I'd think. How useful 1+1=2 real...Well, not really, I'd think. How useful 1+1=2 really is? It is in elementary mathematics, but not much in general abstract math - at least not without much more algebra.Vekyhttps://www.blogger.com/profile/12207072339468136950noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-43137658195423457172008-04-11T20:08:00.000-07:002008-04-11T20:08:00.000-07:00Reminds me of this: I has a mathematical system!Reminds me of this: <A HREF="http://saintgasoline.com/2007/06/07/the-mathematical-system-saga/" REL="nofollow">I has a mathematical system!</A>Anonymousnoreply@blogger.com