### Axioms of mathematics and incompleteness..

The so-called axioms of mathematics are the few thought
determinations which mathematics needs for its point of departure.
Mathematics is the science of magnitudes; its point of departure is the
concept of magnitude. It defines this lamely and then adds the other
elementary determinations of magnitude, not contained in the definition,
from outside as axioms, so that they appear as unproved, and naturally
also as

Engels

Dialectics of nature (A reflection on mathematics by engels which later was explored (independent of Engels) by Godel in his Incompleteness theorem.) [1] Hofstadter calls this Escher work a “pictorial parable for Godel's Incompleteness T…

*mathematically*unprovable. The analysis of magnitude would yield all these axiom determinations as necessary determinations of magnitude. Spencer is right in as much as what thus appears to us to be the*self-evidence*of these axioms is*inherited.*They are provable dialectically, in so far as they are not pure tautologies.Engels

Dialectics of nature (A reflection on mathematics by engels which later was explored (independent of Engels) by Godel in his Incompleteness theorem.) [1] Hofstadter calls this Escher work a “pictorial parable for Godel's Incompleteness T…