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Pages in category "Mathematical axioms" ... The main article for this category is Axiom. ... Categories: Mathematical logic | Concepts | Formal systems...
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en.wikipedia.org/wiki/Category:Mathematical_axioms
en.wikipedia.org/wiki/Category:Mathematical_axioms
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Apr 1, 2008 ... Axioms of numbers are mathematical statements that are the starting points for other statements. The following is axioms of the fundamental ...
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www.associatedcontent.com/article/683229/mathematical_a...
www.associatedcontent.com/article/683229/mathematical_axioms_for_the_fundamental.html
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Their first album's liner notes say "There is an exciting and profound artistic value in the mathematical principle, Axiom of Choice. The mathematician has the right to choose elements without explanation. In a world where everything must be explained, these choices are voluntary and do not need explanation."
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www.math.vanderbilt.edu/~schectex/ccc/choice.html
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An axiom in mathematics and logic, is a general statement accepted without proof as the basis for logically deducing other statements (theorems). Examples of axioms used widely in mathematics are those related to equality.
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www.alientravelguide.com/science/math/axioms/index.htm
www.alientravelguide.com/science/math/axioms/index.htm
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Mathematical axioms: Encyclopedia - Axiom schema ... In mathematics, an axiom of countability is a property of certain mathematical objects (usually in a category) that requires the existence of a countable set with certain properties, while without it such sets might not exist.
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www.experiencefestival.com/mathematical_axioms
www.experiencefestival.com/mathematical_axioms
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Axiom of Spam (Strong Form): Every mathematical system of sufficient complexity to accomodate e-mail, will eventially be infested by spam. Furthermore, the spam will grow more obnoxious over time; after, perhaps, a single post from a Green Card lawyer, the network will become inundated by sex spam.
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buffy.sighup.org.uk/hfiles/adtx.html
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of that mathematical branch itself. You might be able to prove every conceivable statement about numbers within a system by going outside the system in order to come up with new rules and axioms, but by doing so you ... Gödel showed that provability is a weaker notion than truth, no matter what axiom system is involved ...
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www.miskatonic.org/godel.html
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§ 1.1 The Fall of the Axiom; The mathematical axiom has suffered a long fall from its ancient eyrie. Nearly 24 centuries ago it was held to be a self-evident truth, a statement that was absolutely beyond any suspicion that it could be false.
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www.mrc.uidaho.edu/~rwells/Critical%20Philosophy%20and%...
www.mrc.uidaho.edu/~rwells/Critical%20Philosophy%20and%20Mind/Chapter%2023.pdf
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However, we still use the first intuition as a ground for our fundamental theories of physics, which represent space and time using the mathematical continuum. I4 leads easily to the axiom that a real-valued measure exists on the continuum, and indeed on Euclidean 3-space.
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www.cs.nyu.edu/pipermail/fom/2000-April/003917.html
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