Filippov, Mikhail;
Zeki, Semir;
(2022)
On the necessity of importing neurobiology into mathematics.
PsyCh Journal
, 11
(5)
pp. 755-756.
10.1002/pchj.524.
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Abstract
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.
| Type: | Article |
|---|---|
| Title: | On the necessity of importing neurobiology into mathematics |
| Location: | Australia |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1002/pchj.524 |
| Publisher version: | http://doi.org/10.1002/pchj.524 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Incompleteness theorems, logic, perceptual axioms, perceptual reality, “illusions” |
| UCL classification: | UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Life Sciences UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Life Sciences > Div of Biosciences > Cell and Developmental Biology UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences UCL UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Life Sciences > Div of Biosciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10143024 |
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