I dont have direct geometry related question but indirect one. My co-worker and I had a debate about 1 + 1 = 2. He says in geometry it is not always the case but I have always believed math is absolute subject and it cant be disputed, and only absolute subject so it was hard for me to digest. My co-worker mentioned that in geometry if we take pythagorean theorem it is actually 1 + 1 = 1.4.
So my question to you is, can 1 + 1 = anything but 2 ever? Is math an absolute subject or not? If it is absolute then how can one branch of math dispute another branch of math?
I very much apprecaite your help. I actually dont believe that saying 1 + 1 = 1.4 is a correct way of looking at pythagorean theorem but we couldn't come any conclusions. So I am really looking forward for correct answer I can change my belief but I need a satisfactory answer. Could you please help?