On Tue, 15 Jan 2008 07:28:15 -0600 Ron Johnson <[EMAIL PROTECTED]> wrote:
[snip] > Exotic mathematics without a grounding in reality is medieval > philosophy trying to determine how many angels can dance on the head > of a pin. Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing. It is essential not to discuss whether the first proposition is really true, and not to mention what the anything is, of which it is supposed to be true ... If our hypothesis is about anything, and not about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics will, I hope, find comfort in this definition, and will probably agree that it is accurate. http://en.wikiquote.org/wiki/Bertrand_Russell > Ron Johnson, Jr. > Jefferson LA USA Celejar -- mailmin.sourceforge.net - remote access via secure (OpenPGP) email ssuds.sourceforge.net - A Simple Sudoku Solver and Generator -- To UNSUBSCRIBE, email to [EMAIL PROTECTED] with a subject of "unsubscribe". Trouble? Contact [EMAIL PROTECTED]
