AbstractThroughout 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)
Similar books and articles
Consistency Problem and “Unexpected Hanging Paradox” (An Answering to P=NP Problem).Farzad Didehvar - unknown
“Fuzzy Time”, a Solution of Unexpected Hanging Paradox (a Fuzzy Interpretation of Quantum Mechanics).Farzad Didehvar - manuscript
David Wolpert on Impossibility, Incompleteness, the Liar Paradox, the Limits of Computation, a Non-Quantum Mechanical Uncertainty Principle and the Universe as Computer—the Ultimate Theorem in Turing Machine Theory.Michael Starks - manuscript
Do Accelerating Turing Machines Compute the Uncomputable?B. Jack Copeland & Oron Shagrir - 2011 - Minds and Machines 21 (2):221-239.
Computation in Cognitive Science: It is Not All About Turing-Equivalent Computation.Kenneth Aizawa - 2010 - Studies in History and Philosophy of Science Part A 41 (3):227-236.
On the Physical Possibility of Ordinal Computation (Draft).Jeffrey A. Barrett & Wayne Aitken - unknown
Computation, Among Other Things, is Beneath Us.Selmer Bringsjord - 1994 - Minds and Machines 4 (4):469-88.
Conflict and Co-Ordination in the Aftermath of Oracular Statements.Mariam Thalos - 1997 - Philosophical Quarterly 47 (187):212-226.
A Procedural Solution to the Unexpected Hanging and Sorites Paradoxes.SC Shapiro - 1998 - Mind 107 (428):751-762.
The Principle of Uniform Solution (of the Paradoxes of Self-Reference).Nicholas J. J. Smith - 2000 - Mind 109 (433):117-122.
Added to PP
Historical graph of downloads
References found in this work
Reference and Definite Descriptions.Keith S. Donnellan - 1966 - Philosophical Review 75 (3):281-304.