Wayne, James J.
(2014):
*Commonly Shared Foundation of Mathematics, Information Science, Natural Science, Social Science, and Theology.*

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## Abstract

Through a simple thought experiment, this paper shows that there must be a shared foundation of mathematics, information science, natural science, social science, and theology. The thought experiment is to ask a volunteer to write down an arbitrary real number between 0 and 1 with many digits. For example, 0.19823765010367129462…. would be one of such numbers. Then we analyze this experiment result by asking five simple questions: Is the real number a random real? Can the observed real number be produced by a computer? What laws of physics govern the real number creation process? How to predict which number the volunteer choose to write? What is the meaning of the real number creation actions? Without answering these questions, this paper proves that these five questions are fundamental to mathematics, information science, physics, social science, and theology respectively. These five lines of questioning are universally applicable for all human choices. Because these five lines of questions are closely related with each other, we conclude that there must be a commonly-shared logic foundation for mathematics, information science, physics, social science, and theology.

Item Type: | MPRA Paper |
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Original Title: | Commonly Shared Foundation of Mathematics, Information Science, Natural Science, Social Science, and Theology |

Language: | English |

Keywords: | free will, Godel incompleteness theorem, Kolmogorov complexity, Turing machine, human brain, choice, human behavior, quantum physics |

Subjects: | A - General Economics and Teaching > A1 - General Economics > A12 - Relation of Economics to Other Disciplines C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods C - Mathematical and Quantitative Methods > C5 - Econometric Modeling |

Item ID: | 59834 |

Depositing User: | Mr James J. Wayne |

Date Deposited: | 12 Nov 2014 02:28 |

Last Modified: | 03 Oct 2019 06:42 |

References: | 1. Timothy O'Connor, 2014. "Free Will", The Stanford Encyclopedia of Philosophy (Fall 2014 Edition), Edward N. Zalta (ed.), URL=< http://plato.stanford.edu/archives/fall2014/entries/freewill/ >. 2. Robert Kane, 1996. “The Significance of Free Will”, Oxford University Press, New York 3. George Musser, 2012. “The Quantum Physics of Free Will”, Scientific American, February 6, 2012 4. James J. Wayne, 2014. “Human Behavior Paradox and a Social Science Interpretation of Quantum Mechanics”, working paper, Munich University Library, Munich Personal RePEc Archive, 59718 (http://mpra.ub.uni-muenchen.de/59718/ ). 5. Gerard ‘t Hooft, 2007. “The Free-Will Postulate in Quantum Mechanics”, http://arxiv.org/abs/quant-ph/0701097 6. Chetan S. Mandayam and R. Srikanth, 2012. “Uncomputability and Free Will”, http://arxiv.org/pdf/1210.6301v1.pdf 7. Benjamin Libet, Curtis A. Gleason, Elwood W. Wright, and Dennis K. Pearl, 1983. “Time of Conscious Intension to Act in Relation to Onset of Cerebral Activity (Readiness-Potential)”. Brain 106 (3): 623-42 8. Patrick Haggard, 2008. “Human Volition: Towards a Neuroscience of Will”, Nature Reviews Neuroscience 9 (12): 934-946 9. John Conway and Simon Kochen, 2006. “The Free Will Theorem”, Foundation of Physics 36 (10): 1441 10. John Conway and Simon Kochen, 2009. “The Strong Free Will Theorem”, Notices of the AMS. Volume 56, Number 2, Feb. 2009 11. Gregory Chaitin, 1987. “Algorithmic Information Theory”, Cambridge University Press, 1987 12. Kurt Godel, 1931. “Uber formal unentscheidbare S¨atze der Principia Mathemat ¨ ica und verwandter Systeme, I.” Monatshefte f¨ur Mathematik und Physik 38 (1931). 13. Alan Turing, 1936. “On computable numbers, with an application to the Entscheidungs problem”, Proc. London Math. Soc 42, 230 (1936). 14. John Lucas, 1961. “Minds, Machines, and Godel”, Philosophy, Vol. 36, No. 137, 1961: 112-127 15. David King, 1996. “Is The Human Mind A Turning Machine?”, Vol. 108, No. 3: 379-389 16. Wilfried Sieg, 2006. “On Mind & Turing’s Machines”, Natural Computing, 2006 17. Scott Aaronson, 2013. “The Ghost in the Quantum Turing Machine”, http://arxiv.org/abs/1306.0159 18. John D. Barrow, 1999. “Impossibility: The Limits of Science and the Science of Limits”, Oxford University Press, New York 19. Noson S. Yanofsky, 2013. “The Outer Limit of Reason: What Science, Mathematics, and Logic Cannot Tell Us”, the MIT Press, Cambridge, MA 20. Roger Penrose, 1989. “The Emperor’s New Mind”, Oxford, 1989 21. Roger Penrose, 1996. “Shadows of the Mind: A Search for the Missing Science of Consciousness” Oxford, 1996 22. Roger Penrose, 2007. “The Road to Reality: A Complete Guide to the Laws of the Universe”, Vintage, 2007 23. Howard C. Berg, 2003. “The Rotary Motor of Bacterial Flagella”, Annual Review of Biochemistry, Vol. 72, 19-54 24. James J. Wayne, 2005. “Physics Laws of Social Science”, Lawrence Cedar House, New Jersey 25. James J. Wayne, 2013. “Physics Laws of Social Science”, working paper, Munich University Library, Munich Personal RePEc Archive, 47811 (http://mpra.ub.uni-muenchen.de/47811/ ). 26. James J. Wayne, 2013. “Fundamental Equation of Economics”, working paper, Munich University Library, Munich Personal RePEc Archive, 59574 (http://mpra.ub.uni-muenchen.de/59574/ ). 27. James J. Wayne, 2014. “A Scientific Macroeconomic Model Derived from Fundamental Equation of Economics”, working paper, Munich University Library, Munich Personal RePEc Archive, 59591 (http://mpra.ub.uni-muenchen.de/59591/ ). 28. James J. Wayne, 2014. “A Physics Solution to the Hardest Problem in Social Science: Physics Foundation of Permanent World Peace”, working paper, Munich University Library, Munich Personal RePEc Archive, 59634 (http://mpra.ub.uni-muenchen.de/59634/ ). 29. James J. Wayne, 2014. “Fundamental Design Flaws of United States Constitution”, working paper, Munich University Library, Munich Personal RePEc Archive, 59664 (http://mpra.ub.uni-muenchen.de/59664/ ). 30. James J. Wayne, 2014. “Arrow of Time Phenomena in Social Science and Sixteen Global Mega Trends of Human Society”, working paper, Munich University Library, Munich Personal RePEc Archive, 59685 (http://mpra.ub.uni-muenchen.de/59685/ ). 31. James J. Wayne, 2014. “Tragedy of Commonly-shared Debts”, working paper, Munich University Library, Munich Personal RePEc Archive, 59712 (http://mpra.ub.uni-muenchen.de/59712/ ). 32. James J. Wayne, 2014. “Generalized Second Law of Thermodynamics and Its Applications in Social Science”, working paper, Munich University Library, Munich Personal RePEc Archive, 59734 (http://mpra.ub.uni-muenchen.de/59734/ ). |

URI: | https://mpra.ub.uni-muenchen.de/id/eprint/59834 |