Conjecture:fundamental mathematical group

In summary, the conversation discusses the fundamental elements of mathematics and their relationship to each other. The speaker proposes that a group consisting of non-negative integers and irrational numbers, with the operation of addition and subtraction, is sufficient to define most of mathematics. However, objections are raised regarding the stability of this group and the role of set theory and logic in mathematical definitions. The conversation also touches on the use of numbers, addition, and multiplication in mathematical proofs and the limitations of these operations in representing all of mathematics.
  • #71
jimmysnyder said:
...
I never had any doubt that you would know. I suspect you may even be able to come up with another proof :smile:
Thanks for the answer.
 
Mathematics news on Phys.org
  • #72
Locked pending moderation.
 
Back
Top