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#723 (permalink) |
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Senior Member
Join Date: Apr 2005
Location: Fundee
Posts: 685
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Maths is self-contained and axiomatic.
I'm undecided as to whether maths is a science. Although that opens up a whole can of philosophical worms. Can you prove that a mathematical principle will hold at all points, everywhere? No. But it probably will, at least as far as it's useful. Which is my point. |
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#727 (permalink) | |
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Senior Member
Join Date: Feb 2003
Location: Glasgow
Posts: 792 Band: Freedom Is Terror
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Quote:
And yes mathematical principles hold at all points, everywhere. Thats the very nature of the proofs. Things aren't proved in 2D or 3D space only but over all spaces. I'm not talking about formals used by physics, which don't always hold true. I'm talking pure mathematics here: abstract algebra, topology, analysis... There are so many absolute truths in Mathematics which have been rigorously proven. You should check out what Alain Badiou(most important living philosopher?) has to say on this or anything else for that matter. |
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#728 (permalink) | |
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Senior Member
Join Date: Apr 2005
Location: Fundee
Posts: 685
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Quote:
You can't prove that these basic axioms which the principles and proofs rest on will hold at all points at all times. You can validly assume so, but you can't prove it. Therefore you can't accept maths as absolutely true, but for all practical purposes it's an unequaled tool. Last edited by LesMts : 21st November 2007 at 03:00 PM. |
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#729 (permalink) |
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UGS Assassin
Join Date: Sep 2001
Location: Solihull, West Midlands
Posts: 3,969 Band: Wülfstabber, Catface, DJ Wrong Homer, Wings & Claws, Señor Citizen, WRRRMS
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Hey Les, any news on that lecture? Penny and I need to work out whether we're coming up or not
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