- #1
FallenApple
- 566
- 61
So according to Dr. Frederic Schuller, we need to at least know the topology on the space of all theories in order to know that we are getting closer to the truth. I take that this is because we need to know the topology to establish that convergence is possible in the first place. How does this stack against the idea that some theories predict better numerically? Is it because it could be that numerical precision is only convergence in numbers but not necessarily in truth? Then how does one even prefer any theory over another? Or is it that among equally predictive theories, no further notions of convergence can be established?
He says that if we cannot establish a transitive quality function to know if we are getting closer to the truth, then we have to at least know to topology on the space of all possible theories to know if convergence possible in the first place, but that we cannot hope to do so because we do have such a space to work with.
Thoughts?
Discussion peaks roughly at 1:21:45
He says that if we cannot establish a transitive quality function to know if we are getting closer to the truth, then we have to at least know to topology on the space of all possible theories to know if convergence possible in the first place, but that we cannot hope to do so because we do have such a space to work with.
Thoughts?
Discussion peaks roughly at 1:21:45