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On the Inherent Incompleteness of Scientific Theories

By Jolly Mathen

Abstract

We examine the question of whether scientific theories can ever be complete. For two closely related reasons, we will argue that they cannot. The first reason is the inability to determine what are “valid empirical observations”, a result that is based on a self-reference Gödel/Tarski-like proof. The second reason is the existence of “meta-empirical” evidence of the inherent incompleteness of observations. These reasons, along with theoretical incompleteness, are intimately connected to the notion of belief and to theses within the philosophy of science: the Quine-Duhem (and underdetermination) thesis and the observational/theoretical distinction failure. Some puzzling aspects of the philosophical theses will become clearer in light of these connections. Other results that follow are: no absolute measure of the informational content of empirical data, no absolute measure of the entropy of physical systems, and no complete computer simulation of the natural world are possible. The connections with the mathematical theorems of Gödel and Tarski reveal the existence of other connections between scientific and mathematical incompleteness: computational irreducibility, complexity, infinity, arbitrariness and self-reference. Finally, suggestions will be offered of where a more rigorous (or formal) “proof” of scientific incompleteness can be found

Topics: Philosophy of Mind, Philosophy of Science
Year: 2005
OAI identifier: oai:cogprints.org:4356
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    Citations

    1. (1983). and Furio Honsell
    2. (2004). Attogram Detection Using Nanoelectromechanical Oscillators”,
    3. (2003). Basic Concepts and their Interpretation”,
    4. (1927). Being and Time. Translated by John Macquarrie and Edward Robinson.
    5. (2002). Electroweak Precision Analysis. Conference Paper,
    6. (1994). Empirical Equivalence, Underdetermination, and Systems of the World”,
    7. (1999). Evidence for a Positive Cosmological Constant from Flows of Galaxies and Distant Supernovae”,
    8. (1981). Experimental Tests of Realistic Local Theories via Bell’s Theorem”,
    9. (2003). First-Year Wilkinson Microwave Anistropy Probe (WMAP) Observations: Determination of Cosmological Parameters”,
    10. (1999). Gravity-Wave Interferometers as Quantum Gravity Detectors”,
    11. (1999). Improved Tests of the Equivalence Principle for Gravitational Self-Energy”,
    12. (2003). Is the Low Cosmic Microwave Background Quadrupole a Signature of Spatial Curvature”,
    13. (1988). Non-Well-Founded Sets.
    14. (1984). Observation Reconsidered”,
    15. (1995). On the Status of Hidden Variable Theories in Quantum Mechanics”,
    16. (1999). Physics: Past, Present, Future”,
    17. (1957). Relative State’ Formulation of Quantum Mechanics”,
    18. Search for ‘Large’ Extra Dimensions”,
    19. (2004). SELEX Collaboration (2004), First Observation of a Narrow Charm-Strange Meson DsJ(2632) → Ds eta and D0 K+. Fermilab-Pub-04/087-E, Submitted to Physical Review Letters. [Online Edition]: cited on 15
    20. (2001). SNO Collaboration
    21. (2001). Submillimeter Test of the Gravitational Inverse-Square Law: A Search for ‘Large’ Extra Dimensions”,
    22. (1998). Tests of Quantum Gravity from Observations of
    23. (1967). The Character of Physical Law.
    24. (1996). The End of Science.
    25. (1938). The Evolution of Physics,
    26. (1998). The Hierarchy Problem and New Dimensions at a Millimeter”,
    27. (1966). The Relevance of Physics.
    28. (1999). The Search for Non-Newtonian Gravity.
    29. (2004). The Star-formation History of the Universe from the Stellar Populations of Nearby Galaxies”,
    30. (1989). The Structure and Interpretation of Quantum Mechanics.
    31. (1991). Theories of Everything. Oxford: Clarendon Press. __________
    32. (1960). Truth and Method. Translated and edited by Garrett Barden and John Cumming.
    33. (2003). Why Decoherence Has Not Solved the Measurement Problem: A Response to P.W.

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