Is Math a Science? Philosophers' Refutation Criterion

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SUMMARY

The discussion centers on the classification of mathematics as a science based on the criterion of refutability proposed by some philosophers. According to this criterion, a statement is scientific if it can be tested and potentially disproven through experimentation. Since mathematical axioms are not subject to refutation, the conclusion drawn is that mathematics does not qualify as a science under this strict definition. The thread was ultimately closed due to the complexity of moderating philosophical discussions.

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jk22
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For some philosophers an assertion is scientific if an experiment could refute it (all crows are black if we find an albinos one then it is wrong)

But the axioms in maths are not refutable so can it be considered a science with this criterion ?
 
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By strict definition? Science is defined as "the intellectual and practical activity encompassing the systematic study of the structure and behavior of the physical and natural world through observation and experiment." By that definition, no, math is not a science, as no experiments are performed in math.
 
jk22 said:
For some philosophers an assertion is scientific if an experiment could refute it (all crows are black if we find an albinos one then it is wrong)

But the axioms in maths are not refutable so can it be considered a science with this criterion ?

Sorry, we no longer allow philosophical discussions on the PF. They are too difficult for us to Moderate effectively. Thread is closed.
 

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