|Proof in logic, mathematics: finite string of symbols, which derives a statement in a system from the axioms of the system together with already proven statements._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. |
David Deutsch on Proofs - Dictionary of Arguments
Experiment/proof/tradition: A proof does not refer to the physical world. (DeutschVsTradition: this is wrong.) We can perform a proof in our head, or even when we are stuck in a reality simulator in which virtual reality false physics applies.
Traditional idea: Certain abstract sizes are not only part of the reality, but even more real than the things of the physical world. (Pythagoras).
Proof/David Deutsch: A proof is a physical process. - In contrast to this: size and knowledge of this size.
Theory: the aim of a theory: not certainty but explanation. - Physics is totally understandable. Mathematical intuition is incompatible with classical physics. >Quantum Theory._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.
Fabric of Reality, Harmondsworth 1997
Die Physik der Welterkenntnis München 2000