Project Page Index Table of Contents
  • Synthetic computability
    • Church's thesis
    • Church's thesis for mu-recursive functions
  • Abstract incompleteness
    • Formal systems
    • Folklore proof using soundness
    • Strengthened proof using consistency
  • First-order logic
    • Q-decidability
    • Sigma1 completeness
  • Weak representability implies strong separability using Rosser's trick
    • Illustrative proof of Rosser's trick using completeness
  • Incompleteness of first-order logic
    • Weak representability from DPRM
    • Q is essentially incomplete and essentially undecidable
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