Make a number line of integers, 1, 2, 3, 4, etc. Start at 1. Move to the right by one since we're adding one. We end up at 2. QED.

Tbh I don't know what sorts of axioms you're allowed to start with when proving 1+1=2. It seems strange that the proof would be so complicated.

Daniel, I’m an elementary school teacher, not a number theorist. 🤷🏻‍♀️

haha. Sir Bertrand Russel and Roger Penrose wrote entire books until the foundation for the number 1 was there! That by far exceeds the character limit here.

Firstly, it's absolutely necessary to convert that number to unary because everything gets confusing with any other numeral system.

1+1=11.

If you count the number of ones, you'll see that there are two of them to the right and to the left of the equals sign. So, since x=x and 1=1, we can conclude that the calculation is true.

• 1+1 is just another way to write 1&1.
• 1&1 means Marcell D'Avis.
• Marcell D'Avis has 2 letters that appear twice.
• therefore 1+1=2.

That fills at least twenty pages in my calculus notes, please don’t make me retype that

You prove that (-1 )x (-1)=1