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1 vote
0 answers
140 views

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'...
Ovi's user avatar
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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 ''...
Emilio Novati's user avatar
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 ...
Emilio Novati's user avatar