Re: Cantor Confusion

mueckenh@xxxxxxxxxxxxxxxxx wrote:

William Hughes schrieb:
[...]
Assume that there exists an L_D which contains all the numbers
contained in the diagonal. L_D is bounded,

If an unbounded diagonal exists, then obviously an unbounded line must
exist.
The conclusion is false, so the antecedent cannot be true.

Non sequitur:

Logical Implication
p q p -> q
F F T *1)
F T T
T F F *2)
T T T

*2) is the interpretation I would prefer. I may help you:

If the moon exists today then obviously Germany must be
a monarchy today.

Following the Mückenheim-reasoning one would "conclude" that the moon
does not exist. The point is that you erroneously think by simply
juxtaposing p, "->" and q you "prove truth" on the implication "p->q".

F. N.
--
xyz
.

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