Recent content by Almagor

Dear Dave, When you apply 1+1=2 to the real world we see around us and find that it works, isn't that the ultimate proof that 1+1=2 is true and not merely an axiom? Thank you for taking the time to answer my questions. You have been very helpful and I hope we communicate again some time. Just as...

Thanks for your reply. Yes, but if I define myself as a bird, I may be able to "prove" that I can fly, but what good is that, I can't fly. If I define 1+1 =3 (my axiom) then you can't prove 1+2=3. If you can't prove your axiom but merely define it, how is your definition any better than mine? If...

Many things that were once thought of as self evident (such as that the Earth is flat) were later shown to be not true. Doesn't the fact that what is now viewed as self evident may later be shown to be not true indicate that Mathematics can not "prove" anything? Wasn't there a famous...