[FOM] Platonism and undecidability
giovanni sambin
sambin at math.unipd.it
Thu Nov 6 13:24:23 EST 2003
>Harvey Friedman wrote (Mon Oct 27 23:26:39 EST 2003):
>
>> I was proposing that it is hard to convince people that "every sentence
>> has a determinate truth value" if truth values cannot be found, or if
>> truth values are known to be non findable, or there is absolutely no
>> evidence that truth values can be found, or there is no plan or idea for
>> finding truth values, etc.
>
>I want to focus on the part
>
> it is hard to convince people that "every sentence
> has a determinate truth value" if ...
> truth values are known to be non findable
>
>and then substitute "intuitionists" for "people" (if I may):
>
> it is hard to convince intuitionists that "every sentence
> has a determinate truth value" if ...
> truth values are known to be non findable
>
>At this point one has a problem. For an intuitionist, the claim
>
> the truth-value of p is known to be non findable
>
>is inconsistent, hence cannot play any role in making an *intuitionist*
>reluctant to believe that every sentence has a determinate truth value.
>
>Should I conclude that intuitionists are not people? :-)
>
>Neil Tennant
I am sorry for the crudeness of the following argument, similar to
one having a walk to show the absurdity of the thesis of absolute
absence of motion:
I am an intuitionist, and I exist, and hopefully satisfy the
criterion for being "people".
It seems to me that it is Tennant's task to find where his funny
argument fails...
Giovanni Sambin
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