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Frederick M. Kronz [18]Fred Kronz [7]Frederick Kronz [2]
  1. Frederick M. Kronz (2011). Mill on the Hypothetical Method: A Discussion of Achinstein's Defense of Mill and Newton on Induction. In Gregory J. Morgan (ed.), Philosophy of Science Matters: The Philosophy of Peter Achinstein. Oxford University Press. 96.
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  2. Fred Kronz (2008). Non-Monotonic Probability Theory for N-State Quantum Systems. Studies in History and Philosophy of Science Part B 39 (2):259-272.
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  3. Fred Kronz, Quantum Theory: Von Neumann Vs. Dirac. Stanford Encyclopedia of Philosophy.
  4. Fred Kronz (2007). Non-Monotonic Probability Theory and Photon Polarization. Journal of Philosophical Logic 36 (4):449 - 472.
    A non-monotonic theory of probability is put forward and shown to have applicability in the quantum domain. It is obtained simply by replacing Kolmogorov's positivity axiom, which places the lower bound for probabilities at zero, with an axiom that reduces that lower bound to minus one. Kolmogorov's theory of probability is monotonic, meaning that the probability of A is less then or equal to that of B whenever A entails B. The new theory violates monotonicity, as its name suggests; yet, (...)
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  5. Joseph Berkovitz, Roman Frigg & Fred Kronz (2006). The Ergodic Hierarchy, Randomness and Hamiltonian Chaos☆. Studies in History and Philosophy of Science Part B 37 (4):661-691.
    Various processes are often classified as both deterministic and random or chaotic. The main difficulty in analysing the randomness of such processes is the apparent tension between the notions of randomness and determinism: what type of randomness could exist in a deterministic process? Ergodic theory seems to offer a particularly promising theoretical tool for tackling this problem by positing a hierarchy, the so-called ‘ergodic hierarchy’ (EH), which is commonly assumed to provide a hierarchy of increasing degrees of randomness. However, that (...)
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  6. Joseph Berkovitz, Roman Frigg & Fred Kronz (2006). The Ergodic Hierarchy, Randomness and Hamiltonian Chaos. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 37 (4):661-691.
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  7. Fred Kronz (2005). From Chaos to Complexity. Metascience 14 (2):297-301.
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  8. Frederick Kronz & Amy McLaughlin (2005). The Fast Track to Confirmation: Achinstein and Peirce on Evidence. In P. Achinstein (ed.), Scientific Evidence: Philosophical Theories & Applications. The Johns Hopkins University Press. 69--84.
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  9. Michael Friedman, Robert DiSalle, J. D. Trout, Shaun Nichols, Maralee Harrell, Clark Glymour, Carl G. Wagner, Kent W. Staley, Jesús P. Zamora Bonilla & Frederick M. Kronz (2002). 10. Interpreting Quantum Field Theory Interpreting Quantum Field Theory (Pp. 348-378). Philosophy of Science 69 (2).
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  10. Frederick M. Kronz (2002). The Philosophy of Physics. British Journal for the Philosophy of Science 53 (3):473-475.
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  11. Frederick M. Kronz & Justin T. Tiehen (2002). Emergence and Quantum Mechanics. Philosophy of Science 69 (2):324-347.
    In a recent article Humphreys has developed an intriguing proposal for making sense of emergence. The crucial notion for this purpose is what he calls "fusion" and his paradigm for it is quantum nonseparability. In what follows, we will develop this position in more detail, and then discuss its ramifications and limitations. Its ramifications are quite radical; its limitations are substantial. An alternative approach to emergence that involves quantum physics is then proposed.
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  12. Frederick Kronz & Amy McLaughlin (2002). The Complementary Roles of Chance and Lawlike Elements in Peirce's Evolutionary Cosmology. In Harald Atmanspacher & Robert C. Bishop (eds.), Between Chance and Choice: Interdisciplinary Perspectives on Determinism. Thorverton Uk: Imprint Academic.
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  13. Fred Kronz, Range of Violations of Bell’s Inequality by Entangled Photon Pairs Entangled Photon Pairs.
    If the quantum states of measured pairs are entangled, then there are triplets of experimental configurations for which Bell’s original inequality is violated. This paper gives a concise characterization of the entire range of possible triplets of polarization measurements on entangled photon pairs for which the inequality is violated.
     
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  14. Frederick M. Kronz (2000). Chaos in a Model of an Open Quantum System. Philosophy of Science 67 (3):453.
    In a previous essay I argued that quantum chaos cannot be exhibited in models of quantum systems within von Neumann's mathematical framework for quantum mechanics, and that it can be exhibited in models within Dirac's formal framework. In this essay, the negative thesis concerning von Neumann's framework is elaborated further by extending it to the case of Hamiltonian operators having a continuous spectrum. The positive thesis concerning Dirac's formal framework is also elaborated further by constructing a chaotic model of an (...)
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  15. Robert C. Bishop & Frederick M. Kronz (1999). Is Chaos Indeterministic?. In. In Maria Luisa Dalla Chiara (ed.), Language, Quantum, Music. 129--141.
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  16. Frederick M. Kronz (1998). Bohm's Ontological Interpretation and its Relations to Three Formulations of Quantum Mechanics. Synthese 117 (1):31-52.
    The standard mathematical formulation of quantum mechanics is specified. Bohm's ontological interpretation of quantum mechanics is then shown to be incapable of providing a suitable interpretation of that formulation. It is also shown that Bohm's interpretation may well be viable for two alternative mathematical formulations of quantum mechanics, meaning that the negative result is a significant though not a devastating criticism of Bohm's interpretation. A preliminary case is made for preferring one alternative formulation over the other.
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  17. Frederick M. Kronz (1998). Nonseparability and Quantum Chaos. Philosophy of Science 65 (1):50-75.
    Conventional wisdom has it that chaotic behavior is either strongly suppressed or absent in quantum models. Indeed, some researchers have concluded that these considerations serve to undermine the correspondence principle, thereby raising serious doubts about the adequacy of quantum mechanics. Thus, the quantum chaos question is a prime subject for philosophical analysis. The most significant reasons given for the absence or suppression of chaotic behavior in quantum models are the linearity of Schrödinger’s equation and the unitarity of the time-evolution described (...)
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  18. Frederick M. Kronz (1994). Book Review:Nature's Capacities and Their Measurement Nancy D. Cartwright. [REVIEW] Philosophy of Science 61 (1):155-.
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  19. Frederick M. Kronz (1994). Philosophy of Physics. Review of Metaphysics 48 (1):168-170.
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  20. Frederick M. Kronz (1993). Book Review. [REVIEW] Mind 102 (408):681-681.
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  21. Frederick M. Kronz (1992). Carnap and Achinstein on Evidence. Philosophical Studies 67 (2):151 - 167.
    Two notions of evidence are focused on in this essay, Carnap's positive-relevance notion of evidence (1962, pp. 462 ff.), and Achinstein's notion of potential evidence (1978; and 1983, pp. 322–350). Achinstein creates several interesting examples in his attempt to find faults in Carnap's notion of evidence; his motive, ultimately, is to impel us towards potential evidence. The purpose of this essay is to show that positive relevance is significantly more promising than potential evidence with respect to capturing the scientific sense (...)
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  22. Frederick M. Kronz (1992). The Projection Postulate and the Time-Energy Uncertainty Relation. Philosophy of Science 59 (1):1-15.
    The purpose of this paper is to solve a serious problem for the projection postulate involving the time-energy uncertainty relation. The problem was recently raised by Teller, who believes that the problem is insoluble and, consequently, that the projection postulate should no longer be regarded as a serious focus for interpretive investigation.
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  23. Frederick M. Kronz (1991). Quantum Entanglement and Nonideal Measurements: A Critique of Margenau's Objections to the Projection Postulate. Synthese 89 (2):229 - 251.
    I defend the projection postulate against two of Margenau's criticisms. One involves two types of nonideal measurements, measurements that disturb and measurements that annihilate. Such measurements cannot be characterized using the original version of the projection postulate. This is one of the most interesting and powerful objections to the projection postulate since most realistic measurements are nonideal, in Margenau's sense. I show that a straightforward generalization of the projection postulate is capable of handling the more realistic kinds of measurements considered (...)
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  24. Frederick M. Kronz (1990). Aristotle, the Direction Problem, and the Structure of the Sublunar Realm. The Modern Schoolman 67 (4):247-257.
  25. Frederick M. Kronz (1990). Hidden Locality, Conspiracy and Superluminal Signals. Philosophy of Science 57 (3):420-444.
    This paper involves one crucial assumption; namely, that the statistical predictions of quantum mechanics for Bell's variant of the EPR experiment will continue to be verified as detector efficiencies are improved and the need for coincidence counters is eliminated. This assumption entails that any hidden-variables theory for quantum mechanics must violate Bell's inequality--the inequality derived in Bell (1964). It is shown here that four locality conditions are involved in the derivation of Bell's inequality; and that a violation of any of (...)
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  26. Frederick M. Kronz (1990). Jarrett Completeness and Superluminal Signals. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:227 - 239.
    Jarrett has demonstrated that "strong locality," one of the conditions used by Bell to derive his well known inequality, is equivalent to the conjunction of two other conditions which he calls "hidden locality" and "completeness." He has also demonstrated that if it is possible to control the hidden states of the measured system, then violations of hidden locality can be used to transmit information superluminally; and that this is not so with respect to violations of completeness. This he has (...)
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  27. Frederick M. Kronz (1988). EPR: The Correlations Are Still a Mystery. Philosophy of Science 55 (4):631-639.
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