On 5/14/2019 9:49 AM, Jason Resch wrote:
What is truth? (Pontus Pilate). Arithmetical statements are true
if they are theorems derived from the axioms.
This is false. In every consistent system of axioms there are
statements that are true but cannot be derived from the axioms.
That's not true. There are axiomatic systems that are complete.
In other words truth =/= proof, truth is always greater that what can
be proved.
That's because you have recourse to an idea of "true" that is outside of
logical inference...such as "empirically true".
Brent
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