nshepperd comments on Unsolved Problems in Philosophy Part 1: The Liar’s Paradox

nshepperd 2 Dec 2010 0:45 UTC
−1 points
I’m not sure what you mean by this. “There is no need”? So is there a highest natural number, or not? Because if not:
- If S(N) is the last statement, N is a natural number.
- Therefore N + 1 is a natural number and N + 1 > N.
- Therefore the statement S(N + 1) exists.
- Therefore S(N) is not the last statement. Contradiction.
- wedrifid 2 Dec 2010 0:58 UTC
  0 points
  Parent
  
  So is there a highest natural number, or not?
  
  If there is no infinity (the premise) then there must be.
  - FAWS 2 Dec 2010 1:06 UTC
    −1 points
    Parent
    If there is no infinity there must not be a highest natural number, but there could be if there is infinity?
    - wedrifid 2 Dec 2010 1:19 UTC
      1 point
      Parent
      s/not //
      
      Edit: That looks bad. Let’s see.
      
      s/.ot /
      
      That works.