Archive for September, 2011


“Reducing discovery to the act of making logical deductions from a set of axioms is what makes mathematics different from science. […] [Greek mathematicians chose] to begin their deductions from a set of axioms whose truth was not open to question. These axioms cannot be proved within the confines of the subject because they define what the subject is. If we change the axioms, we change the subject.”

— John Tabak, The History of Mathematics: Numbers, Revised Edition (New York : Facts on File, 2011), pgs. 160-61.

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