Chapter
The Limitations of Proving Mathematical Truth
31:25 - 37:25 (05:59)
Even if one adds true statements to their basic assumptions, or axioms, in a mathematical theory, new true statements will still exist that cannot be proven from within that theory. The deeper structure beyond space-time will need to be mapped onto the interface that evolution gave us so it can be tested using experiments.
Clips
The way we collect data is limited by the interface evolution has given us, which is space-time.
31:25 - 33:02 (01:36)
Summary
The way we collect data is limited by the interface evolution has given us, which is space-time. However, to understand deeper structures beyond space-time, we need to demonstrate how they can be mapped onto the space-time interface for testing through experiments.
ChapterThe Limitations of Proving Mathematical Truth
Episode#585: Professor Donald Hoffman — The Case Against Reality, Beyond Spacetime, Rethinking Death, Panpsychism, QBism, and More
PodcastThe Tim Ferriss Show
No scientific theory can ever be a theory of everything because all theories have assumptions that cannot be proven from within that axiomatization.
33:02 - 37:25 (04:22)
Summary
No scientific theory can ever be a theory of everything because all theories have assumptions that cannot be proven from within that axiomatization. Gödel's theorem guarantees that there will always be new true statements that cannot be proven.