Thomas comments on Unsolved Problems in Philosophy Part 1: The Liar's Paradox - Less Wrong

4 Post author: Kevin 30 November 2010 08:56AM

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Comment author: Thomas 30 November 2010 10:07:14PM -1 points [-]

There is no need for ridiculously large numbers. There is always the last statement in a row and this way and only this way, no Yablo paradox arises.

Comment author: nshepperd 02 December 2010 12:45:11AM -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.
Comment author: wedrifid 02 December 2010 12:58:15AM *  0 points [-]

So is there a highest natural number, or not?

If there is no infinity (the premise) then there must be.

Comment author: FAWS 02 December 2010 01:06:54AM *  -1 points [-]

If there is no infinity there must not be a highest natural number, but there could be if there is infinity?

Comment author: wedrifid 02 December 2010 01:19:00AM *  1 point [-]

s/not //

Edit: That looks bad. Let's see.

s/.ot /

That works.

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