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Use this tag for general questions about logic that are not categorizable under some more specific tag, like "mathematical logic", "informal logic", "classical logic", etc.
1
vote
What is the logical distinction between “the same” and “equal to?”
It seems an irrational logic but what is the actual logical distinction between things which have the same answer but are not “the same” - while having equal solutions? …
12
votes
If math is so deductive, why is it so hard to discover new math?
I think the premise of the question is false. Actually, it's easy to discover new math.
Here's one way to find some new math. Take a sheet of paper and write down a bunch of "nonsense" equations with …
4
votes
Can a totally ordered set with a last element but no first element exist, or is this contrad...
Your friend's reasoning doesn't hold up.
The argument that your friend is making is the following. Suppose that a totally ordered set with a last element, but no first element, exists. Then:
Each ele …
1
vote
What does it mean to have a truth value of a 'nothing' type instance?
understand this "in a logical and philosophical way," because this programming language feature is designed based on what will be most convenient for the programmer, not based on any kind of underlying logic …