Impact
~20k
people reached
- 0 posts edited
- 0 helpful flags
- 212 votes cast
Dec
6 |
awarded | Nice Answer |
Nov
4 |
awarded | Notable Question |
Feb
3 |
awarded | Popular Question |
Nov
12 |
awarded | Yearling |
Nov
13 |
awarded | Yearling |
Jun
10 |
accepted | Model structure on Simplicial Sets without using topological spaces |
Dec
5 |
awarded | Fanatic |
Nov
15 |
awarded | Nice Question |
Nov
14 |
asked | Model structure on Simplicial Sets without using topological spaces |
Nov
13 |
awarded | Yearling |
Nov
9 |
awarded | Citizen Patrol |
Jun
30 |
awarded | Popular Question |
Apr
10 |
answered | If we can define a topology on the set of all the ideals of a commutative ring? |
Jan
11 |
accepted | Real spectrum of ring of continuous semialgebraic functions |
Dec
19 |
asked | Real spectrum of ring of continuous semialgebraic functions |
Dec
13 |
comment |
Categorical foundations without set theory
Also I noticed the question has been edited - first order logic does not need set theory. First order logic can be given entirely syntactically |
Dec
13 |
comment |
Categorical foundations without set theory
@Pete: Here is an example of an alternative foundation for studying topological spaces: Abstract Stone Duality, monad.me.uk/ASD |
Dec
13 |
comment |
Categorical foundations without set theory
The base category is the choice of the mathematician, and many categories can take that role. So they do indeed exist. Furthermore none of this is dependent on NBG or classes. If you have them, then there is a good choice for a base category. If you don't have NBG, you can choose another base category. Finally you are seriously misguided about classes - the class of all sets is a mathematical object in NBG set theory. |
Dec
13 |
answered | Categorical foundations without set theory |
Dec
11 |
awarded | Enthusiast |