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17 votes
23 answers
6k views

Is there just one Zero?

Once i was discussing Zero with my kids, I picked up a pen and asked what it is they said 1 pen, then I kept the pen and showed them empty hand and asked how about now, they said Zero pen, then I ...
Ashish Shukla's user avatar
1 vote
1 answer
38 views

Is it consistent with beginning/ending principles for an interval-based temporal logic to cover a time that is exactly ω+ω intervals long?

The SEP article on temporal logic reports on possible beginning/ending principles for instant-based temporal logics: beginning: ∃x¬∃y(y≺x) end: ∃x¬∃y(x≺y) Note that ≺ is the prior-to relation, here. ...
Kristian Berry's user avatar
-2 votes
4 answers
506 views

Why is the definition of the real numbers not contradictory? [closed]

I understand that a set whose members can, in principle, be enumerated (by having a formula) can be considered as a well-defined set. Therefore, set of all even numbers, multiples of 3, and so on ...
Ajax's user avatar
  • 1,168
5 votes
1 answer
277 views

Square of Opposition with percentages?

What happens if you replace the statements of the Traditional Square of Opposition with "percentages of the subject term"? Do all the relationships from the Traditional Square of Opposition still ...
Mike's user avatar
  • 51
5 votes
2 answers
7k views

Why is 2+2=4 a necessary truth?

A necessary truth is something which is true in all possible worlds. How can we be sure that there is no other universe where 2+2=4 can be untrue.
stack exchange's user avatar
4 votes
4 answers
1k views

What are the "undefinable numbers" in real analysis and philosophy?

What if any important results in real analysis make use of the notion of an "undefinable" real number? (Whatever "important" may mean to the reader.) Or is it used more in the philosophy of ...
Dan Christensen's user avatar