Can we logically prove that 1+1 equals 2?

The question of whether we can logically prove that 1+1 equals 2 is a fundamental question in mathematics and philosophy. In the Principia Mathematica, Bertrand Russell and Alfred North Whitehead attempted to logically prove this statement by providing a rigorous system of axioms and deductions. However, while their proof was extensive and complex, it also raised debates on the underlying assumptions and definitions used in their reasoning. Ultimately, proving that 1+1 equals 2 requires accepting certain definitions and axioms, and it remains a matter of agreed-upon conventions rather than a purely logical proof.

This mind map was published on 5 December 2023 and has been viewed 38 times.