Are mathematical axioms falsifiable?

Update (9/25): Professor Landsburg wrote up a thoughtful and excellent explanation of his position here (see comment #12). Because I am busy preparing for two different talks this weekend and two sets of law lectures thereafter (one on Monday; the other on Tuesday), I will return to this theoretical question later next week.

My colleague and friend Steven E. Landsburg says “yes” (see below); I, however, say “no” because axioms, by definition, are assumed to be true. Who’s right? Professor Landsburg or me?

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About F. E. Guerra-Pujol

When I’m not blogging, I am a business law professor at the University of Central Florida.
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2 Responses to Are mathematical axioms falsifiable?

  1. If it can’t be proven, it can’t be falsified. I thought that was implied in the very definition of axioms?

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