- #1

nomadreid

Gold Member

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**Can one call a linear order a lattice? If not....**

I have problems putting together the three ideas

(1) the meets and joins of a lattice are unique, hence lattices must have discrete elements

(2) the truth values of a logic are arranged in a lattice

(3) there exist probability logics, whereby each truth value is a probability which can be any real number between 0 and 1, inclusive.

These three do not seem to fit together, so which one is wrong?

Thanks