English

A Dichotomy in Machine Knowledge

Logic 2011-08-05 v1

Abstract

We show that a machine, which knows basic logic and arithmetic and basic axioms of knowledge, and which is factive (knows nothing false), can either know that it is factive, or know its own Goedel number, but not both.

Cite

@article{arxiv.1108.0992,
  title  = {A Dichotomy in Machine Knowledge},
  author = {Samuel Alexander},
  journal= {arXiv preprint arXiv:1108.0992},
  year   = {2011}
}

Comments

6 pages

R2 v1 2026-06-21T18:46:19.995Z