New answers tagged philosophy-of-logic
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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 ...
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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 ...
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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 &...
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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 ...
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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 ...
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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 ...
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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 ...
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What is an object's properties?
Objects have all sorts of properties. Consider, for example: mass, length, shape, position, orientation, speed, age, dirtiness, components, history, owner, colours, value, purchase price, smell, ...
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