The

Its basic assumption is that

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.

**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.