On the necessity of importing neurobiology into mathematics.
incompleteness theorems
logic
perceptual axioms
perceptual reality
“illusions”
Journal
PsyCh journal
ISSN: 2046-0260
Titre abrégé: Psych J
Pays: Australia
ID NLM: 101598595
Informations de publication
Date de publication:
Oct 2022
Oct 2022
Historique:
revised:
02
12
2021
received:
23
11
2021
accepted:
09
12
2021
pubmed:
31
1
2022
medline:
12
10
2022
entrez:
30
1
2022
Statut:
ppublish
Résumé
In Gödel's Incompleteness Theorems, for every mathematical system there are correct statements that cannot be proven to be correct within that system. We here extend this to address the question of axiomatic statements that are perceived (or known) to be correct but which mathematics, as presently constituted, cannot prove. We refer to these as perceptual axioms.
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
755-756Subventions
Organisme : Leverhulme Trust
Informations de copyright
© 2022 Institute of Psychology, Chinese Academy of Sciences and John Wiley & Sons Australia, Ltd.
Références
Gödel, K. (1931). Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I. Monatshefte für Mathematik, 38(1), 173-198. https://doi.org/10.1007/BF01700692
Leviant, I. (1996). Does “brain-power” make enigma spin? Proceedings: Biological Sciences, 263(1373), 997-1001. https://doi.org/10.1098/rspb.1996.0147