# Tag Info

1 vote

### How universal is logic?

Logic is a science - the word taken as an umbrella term for structural sciences and the humanities - about structural relations like mathematics as emphasized by Bourbaki. And like mathematics, also ...

### How universal is logic?

Logic, in its most general form, can be defined as the process of making connections among concepts. Obviously, these connections must have a meaning, but the meaning can't always be objective. It all ...

### How universal is logic?

Logic is applicable (i.e. correct): At any (also "no") location (in whole space) at any (also the "no") "point in time" (in whole time) The (no-) location makes logic &...

### Is Fermat's last theorem a logical necessity or a different kind of necessary truth?

Mathematics has a set of axioms (statements that we call "true", and that cannot be constructed from other axioms), and a set of rules that allow us to construct more statements from these ...
Accepted

### Is Fermat's last theorem a logical necessity or a different kind of necessary truth?

Strictly speaking it can be proved using a combination of the mainstay mathematical axioms, logical rules, and syntax. Mathematics is not known to be “reducible” to logic, so this can’t be a logical ...

### Is Fermat's last theorem a logical necessity or a different kind of necessary truth?

The proof of Fermat’s last theorem, i.e. of the theorem of Wiles, was very challenging. But concerning its state as a mathematical theorem, Wiles’ theorem does not differ from all other mathematical ...
1 vote

### Is Fermat's last theorem a logical necessity or a different kind of necessary truth?

Excellent question, and one in which there may not be a mutual exclusion. Obviously, if a theorem is true, it is logically necessary in respect to the axioms of the system. That's the easy half of ...