But how can we prove that there exists at least one true statement?
Well, consider the negation of ‘There is at least one true statement.’
That negation is ‘All statements are false.’
But if all statements are false, then ‘All statements are false’, being a statement, must also be false. So at least one statement must be true.
So we have proved that ‘There is at least one true statement’ by reference to another statement. Which means that the foundational statement of philosophy is not inherently existent, but is dependent for its veracity upon its relationship to another statement.
But the statement which it depends upon has no inherent existence either, because it’s false.