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Peter Mittelstaedt [23]P. Mittelstaedt [7]
  1. Peter Mittelstaedt (forthcoming). Explanation of Physical Phenomena by Laws of Nature. Epistemologia.
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  2. Peter Mittelstaedt (2012). Are the Laws of Quantum Logic Laws of Nature? Journal for General Philosophy of Science 43 (2):215-222.
    The main goal of quantum logic is the bottom-up reconstruction of quantum mechanics in Hilbert space. Here we discuss the question whether quantum logic is an empirical structure or a priori valid. There are good reasons for both possibilities. First, with respect to the possibility of a rational reconstruction of quantum mechanics, quantum logic follows a priori from quantum ontology and can thus not be considered as a law of nature. Second, since quantum logic allows for a reconstruction of quantum (...)
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  3. Peter Mittelstaedt (2011). The Problem of Interpretation of Modern Physics. Foundations of Physics 41 (11):1667-1676.
    Since the advent of Modern Physics in 1905, we observe an increasing activity of “interpreting” the new theories. We mention here the theories of Special Relativity, General Relativity and Quantum Mechanics. However, similar activities for the theories of Classical Physics were not known. We ask for the reasons for the different ways to treat classical physics and modern physics. The answer, that we provide here is very surprising: the different treatments are based on a fundamental misunderstanding of the theories of (...)
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  4. Peter Mittelstaedt (2010). On the Meaning of the Constant "C" in Modern Physics. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 41 (1):45 - 53.
    In modern physics, the constant "c" plays a twofold role. On the one hand, "c" is the well known velocity of light in an empty Minkowskian space—time, on the other hand "c" is a characteristic number of Special Relativity that governs the Lorentz transformation and its consequences for the measurements of space—time intervals. We ask for the interrelations between these two, at first sight different meanings of "c". The conjecture that the value of "c" has any influence on the structure (...)
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  5. Peter Mittelstaedt (2009). Cognition Versus Constitution of Objects: From Kant to Modern Physics. Foundations of Physics 39 (7):847-859.
    Classical mechanics in phase space as well as quantum mechanics in Hilbert space lead to states and observables but not to objects that may be considered as carriers of observable quantities. However, in both cases objects can be constituted as new entities by means of invariance properties of the theories in question. We show, that this way of reasoning has a long history in physics and philosophy and that it can be traced back to the transcendental arguments in Kant’s critique (...)
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  6. Peter Mittelstaedt (2009). Hernán Pringe: Critique of the Quantum Power of Judgement. A Transcendental Foundation of Quantum Objectivity. [REVIEW] Journal for General Philosophy of Science 40 (1):149-154.
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  7. Kristina Engelhard & Peter Mittelstaedt (2008). Kant's Theory of Arithmetic: A Constructive Approach? [REVIEW] Journal for General Philosophy of Science 39 (2):245 - 271.
    Kant’s theory of arithmetic is not only a central element in his theoretical philosophy but also an important contribution to the philosophy of arithmetic as such. However, modern mathematics, especially non-Euclidean geometry, has placed much pressure on Kant’s theory of mathematics. But objections against his theory of geometry do not necessarily correspond to arguments against his theory of arithmetic and algebra. The goal of this article is to show that at least some important details in Kant’s theory of arithmetic can (...)
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  8. Peter Mittelstaedt (2006). The Intuitiveness and Truth of Modern Physics. In. In Emily Carson & Renate Huber (eds.), Intuition and the Axiomatic Method. Springer. 251--266.
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  9. P. Mittelstaedt (2002). Conceptual Foundations of Quantum Field Theory - Cao, Tian Yu (Ed.), Cambridge University Press, Cambridge, 1999, 419 Pp., Price US $110.00, UK £70.00 Hardback, ISBN 0-521-63152-. [REVIEW] Studies in History and Philosophy of Science Part B 33 (1):128-131.
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  10. Elena Castellani & Peter Mittelstaedt (2000). Leibniz's Principle, Physics, and the Language of Physics. Foundations of Physics 30 (10):1587-1604.
    This paper is concerned with the problem of the validity of Leibniz's principle of the identity of indiscernibles in physics. After briefly surveying how the question is currently discussed in recent literature and which is the actual meaning of the principle for what concerns physics, we address the question of the physical validity of Leibniz's principle in terms of the existence of a sufficient number of naming predicates in the formal language of physics. This approach allows us to obtain in (...)
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  11. Peter Mittelstaedt (2000). Apriorische Strukturen der Quantenmechanik. Philosophia Naturalis 37 (2):455-473.
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  12. Peter Mittelstaedt (1999). Individualistic Versus Statistical Interpretation of Quantum Mechanics. In. In Maria Luisa Dalla Chiara (ed.), Language, Quantum, Music. 231--239.
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  13. P. Mittelstaedt (1998). Unifying Quantum Mechanics and its Interpretation. Philosophia Naturalis 35 (1):127-151.
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  14. P. Busch, P. Lahti & P. Mittelstaedt (1992). Weak Objectification, Joint Probabilities, and Bell Inequalities in Quantum Mechanics. Foundations of Physics 22 (7):949-962.
    The weak objectification of physical properties is shown to yield the same probabilistic implications as strong objectification and can therefore be refuted on the basis of suitable interference experiments. An alternative test of hypothetical objectification statements, as they occur in the EPR experiment, is based on joint probabilities and the ensuing Bell inequalities. Quantum mechanics turns out to be partially compatible with Bell's inequalities even in cases where weak objectification is excluded by interference.
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  15. Paul Busch & Peter Mittelstaedt (1991). The Problem of Objectification in Quantum Mechanics. Foundations of Physics 21 (8):889-904.
    The hypotheses of weak and strong objectification of quantum mechanical observables, as well as theoretical arguments and experimental evidence against these hypotheses, are systematically reviewed.
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  16. Peter Mittelstaedt (1991). An Inconsistency Between Quantum Mechanics and its Interpretation: The" Disaster" of Objectification. In Georg Schurz (ed.), Advances in Scientific Philosophy. 24--203.
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  17. Peter Mittelstaedt & Ingeborg Strohmeyer (1990). Die kosmologischen Antinomien in der Kritik der reinen Vernunft und die moderne physikalische Kosmologie. Kant-Studien 81 (2):145-169.
  18. P. Mittelstaedt (1988). Sprache und Realität in der Quantenphysik in Wissenschaftstheorie am Ende der 80er Jahre. Philosophia Naturalis 25 (3-4):363-385.
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  19. P. Mittelstaedt, A. Prieur & R. Schieder (1987). Unsharp Particle-Wave Duality in a Photon Split-Beam Experiment. Foundations of Physics 17 (9):891-903.
    In a quantum mechanical two-slit experiment one can observe a single photon simultaneously as particle (measuring the path) and as wave (measuring the interference pattern) if the path and the interference pattern are measured in the sense of unsharp observables. These theoretical predictions are confirmed experimentally by a photon split-beam experiment using a modified Mach—Zehnder interferometer.
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  20. Peter Mittelstaedt (1986). Benennung Und Identität in der Sprache der Physik. Journal for General Philosophy of Science 17 (2):265-294.
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  21. Peter Mittelstaedt (1986). Empiricism and Apriorism in the Foundations of Quantum Logic. Synthese 67 (3):497 - 525.
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  22. Peter Mittelstaedt (1983). Wahrheit, Wirklichkeit Und Logik in der Sprache der Physik. Journal for General Philosophy of Science 14 (1):24-45.
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  23. Peter Mittelstaedt (1979). The Modal Logic of Quantum Logic. Journal of Philosophical Logic 8 (1):479 - 504.
  24. P. Mittelstaedt & E. -W. Stachow (1978). The Principle of Excluded Middle in Quantum Logic. Journal of Philosophical Logic 7 (1):181 - 208.
    The principle of excluded middle is the logical interpretation of the law V ≤ A v ヿA in an orthocomplemented lattice and, hence, in the lattice of the subspaces of a Hilbert space which correspond to quantum mechanical propositions. We use the dialogic approach to logic in order to show that, in addition to the already established laws of effective quantum logic, the principle of excluded middle can also be founded. The dialogic approach is based on the very conditions under (...)
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  25. Peter Mittelstaedt (1978). The Metalogic of Quantum Logic. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1978:249 - 256.
    The logic of quantum physical propositions can be established by means of dialogs which take account of the general incommensurability of these propositions. Investigated first are meta-propositions which state the formal truth of object-propositions. It turns out that the logic of these meta-propositions is equivalent to ordinary logic. A special class of meta-propositions which state the material truth of object-propositions may be considered as quantum logical modalities. It is found that the logic of these modalities contains all the quantum logical (...)
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  26. Peter Mittelstaedt (1977). Conventionalism in Special Relativity. Foundations of Physics 7 (7-8):573-583.
    Reichenbach, Grünbaum, and others have argued that special relativity is based on arbitrary conventions concerning clock synchronizations. Here we present a mathematical framework which shows that this conventionality is almost equivalent to the arbitrariness in the choice of coordinates in an inertial system. Since preferred systems of coordinates can uniquely be defined by means of the Lorentz invariance of physical laws irrespective of the properties of light signals, a special clock synchronization—Einstein's standard synchrony—is selected by this principle. No further restrictions (...)
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  27. Peter Mittelstaedt (1977). Time Dependent Propositions and Quantum Logic. Journal of Philosophical Logic 6 (1):463 - 472.
    Compound propositions which can successfully be defended in a quantumdialogue independent of the elementary propositions contained in it, must have this property also independent of the mutual elementary commensur-abilities. On the other hand, formal commensurabilities must be taken into account. Therefore, for propositions which can be proved by P, irrespective of both the elementary propositions and of the elementary commensur-abilities, there exists a formal strategy of success. The totality of propositions with a formal strategy of success in a quantum dialogue (...)
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  28. Peter Smith & Peter Mittelstaedt (1977). Philosophical Problems of Modern Physics. Philosophical Quarterly 27 (107):188.
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  29. P. Mittelstaedt & E. W. Stachow (1974). Operational Foundation of Quantum Logic. Foundations of Physics 4 (3):355-365.
    The logic of quantum mechanical propositions—called quantum logic—is constructed on the basis of the operational foundation of logic. Some obvious modifications of the operational method, which come from the incommensurability of the quantum mechanical propositions, lead to the effective quantum logic. It is shown in this paper that in the framework of a calculization of this effective quantum logic the negation of a proposition is uniquely defined (Theorem I), and that a weak form of the quasimodular law can be derived (...)
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  30. Peter Mittelstaedt (1974). Quantum Logic. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1974:501 - 514.
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