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Iosif Pinelis
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If a result is not used much, then its veracity does not matter much for the rest of mathematics.

Otherwise, it is likely that there aremay be several proofs of the result, which makes it much more probable (in a general sense) that the result is true. ThereImportantly, there is also usually some explanation or understanding of why the result is true, that is, the ideas behind the result.

Also, people try and do construct counterexamples to disprove a result, if they do not see why the result should be true.

If a result is not used much, then its veracity does not matter much for the rest of mathematics.

Otherwise, it is likely that there are several proofs of the result, which makes it much more probable (in a general sense) that the result is true. There is also usually some explanation or understanding of why the result is true, that is, the ideas behind the result.

Also, people try and do construct counterexamples to disprove a result, if they do not see why the result should be true.

If a result is not used much, then its veracity does not matter much for the rest of mathematics.

Otherwise, there may be several proofs of the result, which makes it much more probable (in a general sense) that the result is true. Importantly, there is usually some explanation or understanding of why the result is true, that is, the ideas behind the result.

Also, people try and do construct counterexamples to disprove a result, if they do not see why the result should be true.

Source Link
Iosif Pinelis
  • 127.7k
  • 8
  • 107
  • 229

If a result is not used much, then its veracity does not matter much for the rest of mathematics.

Otherwise, it is likely that there are several proofs of the result, which makes it much more probable (in a general sense) that the result is true. There is also usually some explanation or understanding of why the result is true, that is, the ideas behind the result.

Also, people try and do construct counterexamples to disprove a result, if they do not see why the result should be true.

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