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A Paradigm Shift happens in physics mostly when fundamental concepts of some system are deeply changed by a new theory and/or new experimental results that supporting and/or triggering a new theory for enough long time.

Pure Mathematics has no experimental side like physics, therefore a Paradigm shift depends

on deep changes of our understanding fundamental concepts like: definition, logic, axiom, number, set, operation, limit, function, infinity and so on.

My question is this, because there are no experiments that determine the validity of some theory, what kind of tests can some new theory has to “pass” until a paradigm shift really happens in Pure Math?

Another question on the same subject:

What do you think is the “nature” of a paradigm shift in a pure theoretical system?

Thank you,

Organic

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# Paradigm Shift

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