Is Math a Science? Philosophers' Refutation Criterion

[jk22]

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 ?

 

[axmls]

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.

 

[berkeman]

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.