Search found 2 matches

by learis
Sat Mar 23, 2024 4:06 pm
Forum: Logic and Philosophy of Mathematics
Topic: Why did Godel come up with a true statement that is unprovable?
Replies: 34
Views: 21866

Re: Why did Godel come up with a true statement that is unprovable?

"This statement is not provable" Definition of a Statement: From Internet Encyclopedia of Philosophy: A statement can be defined as a declarative sentence, or part of a sentence, that is capable of having a truth-value, such as being true or false. A statement by definition must be capable...
by learis
Sat Mar 23, 2024 4:07 am
Forum: Metaphysics
Topic: Solution to Fitch's Paradox
Replies: 4
Views: 9561

Solution to Fitch's Paradox

As I understand it, Fitch's paradox seems to be the strange conclusion that if all truths are knowable, then all truths MUST be known. In other words, it's impossible for there to be an unknown truth if all truths are knowable. Here's the original argument for this. I've taken the argument from wiki...