cognitive science of mathematics

The cognitive science of mathematics develops the theory that all of mathematics is an ontological metaphor.

Its basic assumption is that Euler's identity, which establishes the key relationships between all major mathematical irrational constants, whole numbers and basic operations, expresses a mapping of human cognition via the human body onto the surroundings in a particularly robust and generic way. This can then be investigated by the methods of cognitive science.

This is one of many theories of the philosophy of mathematics, a field which evolved rapidly in the 20th century and produced many discredited theories.