Permanent creations like geometrical theorems exceed ordinary human powers
Evidence
What we do may be small, but it has a certain character of permanence; and to have produced anything of the slightest permanent interest, whether it be a copy of verses or a geometrical theorem, is to have done something utterly beyond the powers of the vast majority of men. — G. H. Hardy, A Mathematician’s Apology, 153
Categorization
- XREF: Echoes his pairing of mathematics with literature and music in earlier chapters; the permanence argument recurs throughout. — connects to: Mathematical work is valuable as a memorial in the same way art is — G. H. Hardy, A Mathematician’s Apology, 294; Mathematics is among the most specialized of human talents. — G. H. Hardy, A Mathematician’s Apology, 140; Mathematics spans from before Pythagoras to beyond Einstein — G. H. Hardy, A Mathematician’s Apology, 154 (+4 more)
- corroborated: 2 independent passages support this claim — G. H. Hardy, A Mathematician’s Apology, 153
Library Connections
- Physical reality fails to match common sense, while mathematical reality does not
#complicates(0.50) — G. H. Hardy, A Mathematician’s Apology, 262
Broader Connections
- Iterated distillation and amplification can build judgment beyond our own
#contradicts(0.85) — Brian Christian, The Alignment Problem, 1069 - Self-imitation can bootstrap a machine to superhuman skill
#contradicts(0.85) — Brian Christian, The Alignment Problem, 1057 - Mathematics spans from before Pythagoras to beyond Einstein
#expands(0.60) — G. H. Hardy, A Mathematician’s Apology, 154 - Deductive proof must rely on circular reasoning or endless chains
#qualifies(0.50) — Bertrand Russell, History of Western Philosophy, 963