All Questions
3
questions
1
vote
0
answers
140
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Brief overview of the foundations of math?
I am very interested in finding out about the foundations of math. When I feel foolish enough to try, I visit Wikipedia and end up in a truly endless rabbit hole. There are dozens of terms that I don'...
11
votes
1
answer
1k
views
More than the real numbers: hyperreals, superreals, surreals ...?
I've read something about extensions of the real numbers, as hyperreals, superreals, surreals and, as I can understand, all these extensions contain some new kinds of infinitesimal and infinite ''...
4
votes
1
answer
2k
views
Definable real numbers
Reading this Wikipedia page I found this definition:
A real number $a$ is first-order definable in the language of set
theory, without parameters, if there is a formula $\phi$ in the
language ...