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How do we know that modern mathematics is correct? Thanks, Ryan.

How do we know that modern mathematics is correct? Thanks, Ryan.

Mathematics

How do we know that modern mathematics is correct? Thanks, Ryan.

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We don't.

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Indeed it seems that we don't even know what it means to say that modern mathematics is correct. Does it mean that it contains no hidden contradictions, that it accurately describes 'the world of numbers', that it supports empirical science, or what?

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See also the response to Question 773.

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Read another response by Oliver Leaman, Peter Lipton, Alexander George

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