Is Classical Mathematics Appropriate for Theory of Computation?

Abstract

Throughout this paper, we are trying to show how and why our Mathematical frame-work seems inappropriate to solve problems in Theory of Computation. More exactly, the concept of turning back in time in paradoxes causes inconsistency in modeling of the concept of Time in some semantic situations. As we see in the first chapter, by introducing a version of “Unexpected Hanging Paradox”,first we attempt to open a new explanation for some paradoxes. In the second step, by applying this paradox, it is demonstrated that any formalized system for the Theory of Computation based on Classical Logic and Turing Model of Computation leads us to a contradiction. We conclude that our mathematical frame work is inappropriate for Theory of Computation. Furthermore, the result provides us a reason that many problems in Complexity Theory resist to be solved.(This work is completed in 2017 -5- 2, it is in vixra in 2017-5-14, presented in Unilog 2018, Vichy)

Links

PhilArchive

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

Analytics

Added to PP
2019-04-14

Downloads
537 (#37,288)

6 months
105 (#52,671)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Farzad Didehvar
Amir Kabir University University (Tehran Polytechnic)

References found in this work

Two Dogmas of Empiricism.W. Quine - 1951 - [Longmans, Green].
On Denoting.Bertrand Russell - 1905 - Mind 14 (56):479-493.
Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
On Denoting.Bertrand Russell - 2005 - Mind 114 (456):873 - 887.
Two Dogmas of Empiricism.W. V. O. Quine - 2011 - In Robert B. Talisse & Scott F. Aikin (eds.), The Pragmatism Reader: From Peirce Through the Present. Princeton University Press. pp. 202-220.

View all 273 references / Add more references