136
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Foundations of mathematics under neuroscience conditions of lateral inhibition and lateral activation

& ORCID Icon
Pages 237-256 | Received 14 Nov 2017, Accepted 30 Jan 2018, Published online: 18 Feb 2018

References

  • Homotopy type theory: univalent foundations of mathematics. Institute for Advanced Study; 2013. Available from: https://homotopytypetheory.org/book
  • Ammon K. Automatic proofs in mathematical logic and analysis. In: Kapur D, editor. Automated deduction---CADE-11. New York: Springer-Verlag; 1992. p. 4–19.
  • Ammon K. Informal concepts in machines. CoRR abs/1005.0608. 2010. arXiv:1005.0608.
  • Chabris Ch, Crown DS. The invisible gorilla and other ways our intuitions deceive us. New York (NY); 2010.
  • Drew T, Vo MLH, Wolfe JM. The invisible gorilla strikes again: sustained inattentional blindness in expert observers. Psychol Sci. 2013;24(9):1848–1853.
  • Carbon C-C. Understanding human perception by human-made illusions. Front Human Neurosci. 2014;8:566. doi:10.3389/fnhum.2014.00566.
  • Wiles A. Modular elliptic curves and fermat’s last theorem. Ann Math. 1995;141:443–551.
  • Paris J, Harrington L. A mathematical incompleteness in Peano arithmetic. In: Barwise J, editor. Handbook for mathematical logic. Amsterdam, Netherlands: North-Holland; 1977.
  • McLarty Colin. What does it take to prove Fermat’s last theorem? Grothendieck and the logic of number theory, Bull Symbolic Logic. 2010;16(3):359–377.
  • Artin M, Grothendieck A, Verdier J-L. Theorie des topos et cohomologie etale des schemas, Seminaire de Geometrie Algebrique du Bois-Marie. Vol. 4. Berlin, Heidelberg: Springer-Verlag; 1972.
  • Schumann A. Preface. History Philosophy Logic. 2011;32(1):1–8.
  • Schumann A. Qal wa-homer and theory of Massive-Parallel proofs. History Philosophy Logic. 2011;32(1):71–83.
  • Schumann A, Kuznetsov AV. Talmudic foundations of mathematics. 10th EAI International Conference on Bio-inspired Information and Communications Technologies (formerly BIONETICS). Hoboken, NJ; 2017. p. 67–74.
  • Gao X, Xiao B, Tao D, Li X. A survey of graph edit distance. Pattern Anal Appl. 2010;13:113–129.
  • Rothe HA. Ueber Permutationen, in Beziehung auf die Stellen ihrer Elemente. Anwendung der daraus abgeleiteten Satze auf das Eliminationsproblem. Sammlung Combinatorisch-Analytischer Abhandlungen. Leipzig: bey Gerhard Fleischer dem Jüngern; 1800. Available from: http://www.e-rara.ch/zut/content/pageview/1341041
  • Maher SJ, Fischer T, Gally T, et al. The scip optimization suite 4.0. Technical Report 17-12, ZIB, Takustr.7, 14195. Berlin; 2017.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.