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  1. The Limits of Uncertainty: A Note.Ernest R. Alexander - 1975 - Theory and Decision 6 (3):363-370.
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  2. Momentum Conservation Decides Heisenberg's Interpretation of the Uncertainty Formulas.Th D. Angelidis - 1977 - Foundations of Physics 7 (5-6):431-449.
    The present thesis considers, in the light of Heisenberg's interpretation of the uncertainty formulas, the conditions necessary for the derivation of the quantitative statement or law of momentum conservation. The result of such considerations is a contradiction between the formalism of quantum physics and the asserted consequences of Heisenberg's interpretation. This contradiction decides against Heisenberg's interpretation of the uncertainty formulas on upholding that the formalism of quantum physics is both consistent and complete, at least insofar as the statement of momentum (...)
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  3. Chaotic Neuron Dynamics, Synchronization, and Feature Binding: Quantum Aspects.F. Tito Arecchi - 2003 - Mind and Matter 1 (1):15-43.
    A central issue of cognitive neuroscience is to understand how a large collection of coupled neurons combines external signals with internal memories into new coherent patterns of meaning. An external stimulus localized at some input spreads over a large assembly of coupled neurons, building up a collective state univocally corresponding to the stimulus. Thus, the synchronization of spike trains of many individual neurons is the basis of a coherent perception. Based on recent investigations of homoclinic chaotic systems and their synchronization, (...)
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  4. Book Review:Perspectives in Quantum Theory: Essays in Honor of Alfred Lande Wolfgang Yourgrau, Alwyn Van Der Merwe. [REVIEW]Michael N. Audi - 1973 - Philosophy of Science 40 (2):323-.
  5. The Quantum Story: A History in 40 Moments.J. E. Baggott - 2011 - Oxford University Press.
    Prologue: Stormclouds : London, April 1900 -- Quantum of action: The most strenuous work of my life : Berlin, December 1900 ; Annus Mirabilis : Bern, March 1905 ; A little bit of reality : Manchester, April 1913 ; la Comédie Française : Paris, September 1923 ; A strangely beautiful interior : Helgoland, June 1925 ; The self-rotating electron : Leiden, November 1925 ; A late erotic outburst : Swiss Alps, Christmas 1925 -- Quantum interpretation: Ghost field : Oxford, August (...)
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  6. Beyond Measure: Modern Physics, Philosophy, and the Meaning of Quantum Theory.J. E. Baggott - 2003 - Oxford University Press.
    Quantum theory is one the most important and successful theories of modern physical science. It has been estimated that its principles form the basis for about 30 per cent of the world's manufacturing economy. This is all the more remarkable because quantum theory is a theory that nobody understands. The meaning of Quantum Theory introduces science students to the theory's fundamental conceptual and philosophical problems, and the basis of its non-understandability. It does this with the barest minimum of jargon and (...)
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  7. The Strange World of Quantum Mechanics Daniel F. Styer. [REVIEW]Jeffrey A. Barrett - 2001 - British Journal for the Philosophy of Science 52 (2):393-396.
  8. Mates toE=Mc 2 and to the Heisenberg Uncertainty Relations.A. B. Bell & D. M. Bell - 1976 - Foundations of Physics 6 (1):101-106.
    E=mc 2 is found to be a special case ofE=σ ±1cn, where σ is any one of four susceptibilities, namely electric, magnetic, gravitational, and elastic. Letl be length,t time,Δt time dilation, andΔl a measure of Fitzgerald-Lorentz contraction. A particle is stated to be the manifestation of a collection of susceptibilities which arise when(Δl)/1=(Δt)/t. Then(ΔE)/E=5 (Δt)/2t=±(Δσ)/σ. Corresponding to susceptibility, special energy particles are postulated which exhibitSU(3) symmetry, Related to the susceptibilities are five new Heisenberg uncertainty relations. Three new conservation laws for (...)
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  9. Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy.J. S. Bell - 2004 - Cambridge University Press.
    This book comprises all of John Bell's published and unpublished papers in the field of quantum mechanics, including two papers that appeared after the first edition was published. It also contains a preface written for the first edition, and an introduction by Alain Aspect that puts into context Bell's great contribution to the quantum philosophy debate. One of the leading expositors and interpreters of modern quantum theory, John Bell played a major role in the development of our current understanding of (...)
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  10. Causality and Quantum Physics.Henry F. Birkenhauer - 1938 - Modern Schoolman 16 (2):35-37.
  11. Les interprétations de la mécanique quantique : une vue d'ensemble introductive.Thomas Boyer-Kassem - 2015 - Implications Philosophiques.
    La mécanique quantique est une théorie physique contemporaine réputée pour ses défis au sens commun et ses paradoxes. Depuis bientôt un siècle, plusieurs interprétations de la théorie ont été proposées par les physiciens et les philosophes, offrant des images quantiques du monde, ou des métaphysiques, radicalement différentes. L'existence d'un hasard fondamental, ou d'une multitude de mondes en-dehors du nôtre, dépend ainsi de l'interprétation adoptée. Cet article, en s'appuyant sur le livre Boyer-Kassem (2015), Qu'est-ce que la mécanique quantique ?, présente trois (...)
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  12. Qu'est-ce que la mécanique quantique ?Thomas Boyer-Kassem - 2015 - Vrin.
    La mécanique quantique est une théorie physique contemporaine réputée pour ses défis au sens commun et ses paradoxes. Depuis bientôt un siècle, plusieurs interprétations de la théorie ont été proposées par les physiciens et les philosophes, offrant des images quantiques du monde, ou des ontologies, radicalement différentes. L'existence d'un hasard fondamental, ou d'une multitude de mondes en-dehors du nôtre, dépend ainsi de l'interprétation adoptée. Après avoir discuté de la définition de l'interprétation d'une théorie physique, ce livre présente trois principales interprétations (...)
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  13. Types of Uncertainty.Richard Bradley & Mareile Drechsler - 2014 - Erkenntnis 79 (6):1225-1248.
    We distinguish three qualitatively different types of uncertainty—ethical, option and state space uncertainty—that are distinct from state uncertainty, the empirical uncertainty that is typically measured by a probability function on states of the world. Ethical uncertainty arises if the agent cannot assign precise utilities to consequences. Option uncertainty arises when the agent does not know what precise consequence an act has at every state. Finally, state space uncertainty exists when the agent is unsure how to construct an exhaustive state space. (...)
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  14. How to Evade the Confrontation with the Uncertainty Relations.V. B. Braginsky & F. Ya Khalili - 1986 - Foundations of Physics 16 (4):379-382.
    It is demonstrated that one can in principle register an arbitrarily small force acting on a free particle by employing only measurements of its coordinates.
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  15. The Principle of Uncertainty.D. Brown - 1933 - Australasian Journal of Philosophy 11 (2):134 – 136.
  16. The Physical Significance of the Quantum Theory. By F. A. Lindemann M.A., D.Phil., F.R.S., Professor of Experimental Philosophy in the University of Oxford. (Oxford: Clarendon Press. 1932. London: Humphrey Milford. Pp. Vi + 148. Price 7s. 6d.). [REVIEW]G. B. Brown - 1933 - Philosophy 8 (29):112-.
  17. A Critique of the Disturbance Theory of Indeterminacy in Quantum Mechanics.Harvey R. Brown & Michael L. G. Redhead - 1981 - Foundations of Physics 11 (1-2):1-20.
    Heisenberg'sgendanken experiments in quantum mechanics have given rise to a widespread belief that the indeterminacy relations holding for the variables of a quantal system can be explained quasiclassically in terms of a disturbance suffered by the system in interaction with a quantal measurement, or state preparation, agent. There are a number of criticisms of this doctrine in the literature, which are critically examined in this article and found to be ininconclusive, the chief error being the conflation of this disturbance with (...)
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  18. Causality and Determinism in Modern Physics.Grzegorz Bugajak - 2011 - In Adam Świeżyński (ed.), Knowledge and Values, Wyd. UKSW, Warszawa. pp. 73–94.
    The paper revisits the old controversy over causality and determinism and argues, in the first place, that non˗deterministic theories of modern science are largely irrelevant to the philosophical issue of the causality principle. As it seems to be the ‘moral’ of the uncertainty principle, the reason why a deterministic theory cannot be applied to the description of certain physical systems is that it is impossible to capture such properties of the system, which are required by a desired theory. These properties (...)
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  19. Quantum Fluctuations and the Action of the Mind.Jean E. Burns - 2002 - Noetic Journal 3 (4):312-317.
    It is shown that if mental influence can change a position or momentum coordinate within the limits of the uncertainty principle, such change, when magnified by a single interaction, is sufficient to order the direction of traveling molecules. Mental influence could initiate an action potential in the brain through this process by using the impact of ordered molecules to open the gates of sodium channels in neuronal membranes. It is shown that about 80 ordered molecules, traveling at thermal velocity in (...)
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  20. History, Hubris, and the Heisenberg Principle.David H. Burton - 1975 - Thought: A Journal of Philosophy 50 (1):84-93.
  21. Heisenberg's Uncertainty Relation (Compendium Entry).Paul Busch & Brigitte Falkenbuyr - unknown
    This is an entry to the Compendium of Quantum Physics, edited by F Weinert, K Hentschel and D Greenberger, to be published by Springer-Verlag.
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  22. Heisenberg's Uncertainty Principle.Paul Busch, Teiko Heinonen & Pekka Lahti - unknown
    Heisenberg's uncertainty principle is usually taken to express a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that the full content of this principle also includes its positive role as a condition ensuring that mutually exclusive experimental options can be reconciled if an appropriate trade-off is accepted. The uncertainty principle is shown to appear in three manifestations, in the form of uncertainty relations: for the widths of the position and momentum distributions in any quantum state; for the (...)
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  23. A Note on Quantum Theory, Complementarity, and Uncertainty.Paul Busch & Pekka J. Lahti - 1985 - Philosophy of Science 52 (1):64-77.
    Uncertainty relations and complementarity of canonically conjugate position and momentum observables in quantum theory are discussed with respect to some general coupling properties of a function and its Fourier transform. The question of joint localization of a particle on bounded position and momentum value sets and the relevance of this question to the interpretation of position-momentum uncertainty relations is surveyed. In particular, it is argued that the Heisenberg interpretation of the uncertainty relations can consistently be carried through in a natural (...)
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  24. Complementarity and Uncertainty in Mach-Zehnder Interferometry and Beyond.Paul Busch & Christopher Shilladay - unknown
    A coherent account of the connections and contrasts between the principles of complementarity and uncertainty is developed starting from a survey of the various formalizations of these principles. The conceptual analysis is illustrated by means of a set of experimental schemes based on Mach-Zehnder interferometry. In particular, path detection via entanglement with a probe system and (quantitative) quantum erasure are exhibited to constitute instances of joint unsharp measurements of complementary pairs of physical quantities, path and interference observables. The analysis uses (...)
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  25. Book Review:Quantum Theory and Measurement John Archibald Wheeler, Wojciech Hubert Zurek. [REVIEW]Nancy Cartwright - 1985 - Philosophy of Science 52 (3):480-.
  26. On Classical and Quantum Objectivity.Gabriel Catren - 2008 - Foundations of Physics 38 (5):470-487.
    We propose a conceptual framework for understanding the relationship between observables and operators in mechanics. To do so, we introduce a postulate that establishes a correspondence between the objective properties permitting to identify physical states and the symmetry transformations that modify their gauge dependant properties. We show that the uncertainty principle results from a faithful—or equivariant—realization of this correspondence. It is a consequence of the proposed postulate that the quantum notion of objective physical states is not incomplete, but rather that (...)
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  27. Quantum Theory: Concepts and Methods.C. M. Caves - 1994 - Foundations of Physics 24:1583-1583.
  28. Quantum Physics and East-West Rapprochement.C. T. K. Chari - 1955 - Philosophy East and West 5 (1):61-67.
  29. The Impossibility of a Bivalent Truth-Functional Semantics for the Non-Boolean Propositional Structures of Quantum Mechanics.Ariadna Chernavska - 1981 - Philosophia 10 (1-2):1-18.
    The general fact of the impossibility of a bivalent, truth-functional semantics for the propositional structures determined by quantum mechanics should be more subtly demarcated according to whether the structures are taken to be orthomodular latticesP L or partial-Boolean algebrasP A; according to whether the semantic mappings are required to be truth-functional or truth-functional ; and according to whether two-or-higher dimensional Hilbert spaceP structures or three-or-higher dimensional Hilbert spaceP structures are being considered. If the quantumP structures are taken to be orthomodular (...)
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  30. Quantum Theory: Concepts and Methods.R. Clifton - 1995 - Foundations of Physics 25:205-205.
  31. On Some Cognitive Features of Clifford Algebraic Quantum Mechanics and the Origin of Indeterminism in This Theory: A Derivation of Heisenberg Uncertainty Principle by Using the Clifford Algebra.Elio Conte - manuscript
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  32. The Kantian Framework of Complementarity.Michael Cuffaro - 2010 - Studies in History and Philosophy of Science Part B 41 (4):309-317.
    A growing number of commentators have, in recent years, noted the important affinities in the views of Immanuel Kant and Niels Bohr. While these commentators are correct, the picture they present of the connections between Bohr and Kant is painted in broad strokes; it is open to the criticism that these affinities are merely superficial. In this essay, I provide a closer, structural, analysis of both Bohr's and Kant's views that makes these connections more explicit. In particular, I demonstrate the (...)
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  33. Quantum Mechanics and Metaphysical Indeterminacy.George Darby - 2010 - Australasian Journal of Philosophy 88 (2):227-245.
    There has been recent interest in formulating theories of non-representational indeterminacy. The aim of this paper is to clarify the relevance of quantum mechanics to this project. Quantum-mechanical examples of vague objects have been offered by various authors, displaying indeterminate identity, in the face of the famous Evans argument that such an idea is incoherent. It has also been suggested that the quantum-mechanical treatment of state-dependent properties exhibits metaphysical indeterminacy. In both cases it is important to consider the details of (...)
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  34. Quantum Blobs.Maurice A. De Gosson - 2013 - Foundations of Physics 43 (4):440-457.
    Quantum blobs are the smallest phase space units of phase space compatible with the uncertainty principle of quantum mechanics and having the symplectic group as group of symmetries. Quantum blobs are in a bijective correspondence with the squeezed coherent states from standard quantum mechanics, of which they are a phase space picture. This allows us to propose a substitute for phase space in quantum mechanics. We study the relationship between quantum blobs with a certain class of level sets defined by (...)
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  35. The Symplectic Camel and the Uncertainty Principle: The Tip of an Iceberg? [REVIEW]Maurice A. De Gosson - 2009 - Foundations of Physics 39 (2):194-214.
    We show that the strong form of Heisenberg’s inequalities due to Robertson and Schrödinger can be formally derived using only classical considerations. This is achieved using a statistical tool known as the “minimum volume ellipsoid” together with the notion of symplectic capacity, which we view as a topological measure of uncertainty invariant under Hamiltonian dynamics. This invariant provides a right measurement tool to define what “quantum scale” is. We take the opportunity to discuss the principle of the symplectic camel, which (...)
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  36. Preparation and Measurement: Two Independent Sources of Uncertainty in Quantum Mechanics. [REVIEW]Willem M. De Muynck - 2000 - Foundations of Physics 30 (2):205-225.
    In the Copenhagen interpretation the Heisenberg inequality ΔQΔP≥ℏ/2 is interpreted as the mathematical expression of the concept of complementarity, quantifying the mutual disturbance necessarily taking place in a simultaneous or joint measurement of incompatible observables. This interpretation was criticized a long time ago and has recently been challenged in an experimental way. These criticisms can be substantiated by using the generalized formalism of positive operator-valued measures, from which an inequality, different from the Heisenberg inequality, can be derived, precisely illustrating the (...)
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  37. Book Review:The Uncertainty Principle and Foundations of Quantum Mechanics: A Fifty Years' Survey W. Price, S. Chissick. [REVIEW]William Demopoulos - 1979 - Philosophy of Science 46 (2):336-.
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  38. A View From Nowhere: Quantum Reference Frames and Uncertainty.Michael Dickson - 2004 - Studies in History and Philosophy of Science Part B 35 (2):195-220.
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  39. Quantum Puzzles in the Metaworld of Heisenberg, Clauser, and Horne.Ian Durham - unknown
    This paper follows up on a recent pre-print (Durham [2005]) by first deriving a set theoretic relationship between the generalized uncertainty relations and the Clauser-Horne inequalities. The physical, metaphysical, and metamathematical implications and problems are then explored. The discussion builds on previous work by Pitowsky [1994] and suggests that there is a fundamental problem in quantum correlation that could potentially lead to a paradox. It leaves open the question of whether the problem is in experiment, theory, or phenomena.
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  40. Generalized Uncertainty Principle.Saurav Dwivedi - manuscript
    Quantum theory brought an irreducible lawlessness in physics. This is accompanied by lack of specification of state of a system. We can not measure states even though they ever existed. We can measure only transition from one state into another. We deduce this lack of determination of state mathematically, and thus provide formalism for maximum precision of determination of mixed states. However, the results thus obtained show consistency with Heisenberg's uncertainty relations.
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  41. Quantum Mechanics Over Sets.David Ellerman - 2016 - Synthese:xx-yy.
    This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or toy model of quantum mechanics over sets (QM/sets). There have been several previous attempts to develop a quantum-like model with the base field of ℂ replaced by ℤ₂. Since there are no inner products on vector spaces over finite fields, the problem is to define the Dirac brackets and the probability calculus. The previous attempts (...)
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  42. The Necessity of Quantizing the Gravitational Field.Kenneth Eppley & Eric Hannah - 1977 - Foundations of Physics 7 (1-2):51-68.
    The assumption that a classical gravitational field interacts with a quantum system is shown to lead to violations of either momentum conservation or the uncertainty principle, or to result in transmission of signals faster thanc. A similar argument holds for the electromagnetic field.
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  43. Geometrizing Relativistic Quantum Mechanics.F. T. Falciano, M. Novello & J. M. Salim - 2010 - Foundations of Physics 40 (12):1885-1901.
    We propose a new approach to describe quantum mechanics as a manifestation of non-Euclidean geometry. In particular, we construct a new geometrical space that we shall call Qwist. A Qwist space has a extra scalar degree of freedom that ultimately will be identified with quantum effects. The geometrical properties of Qwist allow us to formulate a geometrical version of the uncertainty principle. This relativistic uncertainty relation unifies the position-momentum and time-energy uncertainty principles in a unique relation that recover both of (...)
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  44. The Operator Formalism of Quantum Mechanics From the Viewpoint of Short Disturbances in Nonrelativistic Classical Motion.Peter D. Finch - 1984 - Foundations of Physics 14 (4):281-306.
    The effect of short disturbances on nonrelativistic motion is formulated in terms of operators. Analogies with quantum mechanics are developed and some disparities noted. For the one-dimensional particle we obtain analogues of the de Broglie wave commonly associated with particle motion, Heisenberg's commutation relation, Schrödinger's equation, and the statistical interpretation. Whether these results have any bearing on quantum mechanics itself is left an open question.
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  45. Proposed Experimental Test of Wave Packet Reduction and the Uncertainty Principle.E. E. Fitchard - 1979 - Foundations of Physics 9 (7-8):525-535.
    A practical experiment using coincidence techniques is suggested to test the validity of the following concepts:(1) wave packet reduction and(2) the measurement-uncertainty principle for position and momentum. The suggested experiment uses the time-of-flight method to determine an electron's momentum and a coincident photon, emitted from a system excited by the electron, to determine its initial position. It is shown that this method does constitute a simultaneous measurement of position and momentum for a single system. Also, it is pointed out that (...)
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  46. Correlation Coefficients and Robertson-Schroedinger Uncertainty Relations.Gordon N. Fleming - unknown
    Calling the quantity; 2ΔAΔB/|<[A, B]>|, with non-zero denominator, the uncertainty product ratio or UPR for the pair of observables, (A, B), it is shown that any non-zero correlation coefficient between two observables raises, above unity, the lower bound of the UPR for each member of an infinite collection of pairs of incompatible observables. Conversely, any UPR is subject to lower bounds above unity determined by each of an infinite collection of correlation coefficients. This result generalizes the well known Schroedinger strengthening (...)
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  47. Uncertainty About Determinism: A Critical Review of Challenges to the Determinism of Modern Science.Lawrence E. Fraley - 1994 - Behavior and Philosophy 22 (2):71 - 83.
    Contemporary scientific determinism is a grand induction from scientific experience. Limitations on measurement of the kind represented by the Heisenberg uncertainty principle have thrown doubt on deterministic philosophy. But the case against determinism does not stand examination. Scientific support for deterministic philosophy continues to be justified.
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  48. Analogy Between the Theorem of Pythagoras and the Relations of Uncertainty of Heisenberg.Giuseppe Gembillo - 2007 - World Futures 63 (1):38 – 41.
    In this work I propose an analogy between Pythagoras's theorem and the logical-formal structure of Werner Heisenberg's "relations of uncertainty." The reasons that they have pushed to me to place this analogy have been determined from the following ascertainment: Often, when in exact sciences a problem of measurement precision arises, it has been resolved with the resource of the elevation to the square. To me it seems also that the aporie deriving from the uncertainty principle can find one solution with (...)
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  49. A Note on Quantum Logic and the Uncertainty Principle.Peter Gibbins - 1981 - Philosophy of Science 48 (1):122-126.
    It is shown that the uncertainty principle has nothing directly to do with the non-localisability of position and momentum for an individual system on the quantum logical view. The product Δ x· Δ p for localisation of the ranges of position and momentum of an individual system→ ∞ , while the quantities Δ X and Δ P in the uncertainty principle $\Delta X\cdot \Delta P\geq \hslash /2$ , must be given a statistical interpretation on the quantum logical view.
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  50. Book Review. [REVIEW]Ravi Gomatam - manuscript
    In this book, Mara Beller, a historian and philosopher of science, undertakes to examine why and how the elusive Copenhagen interpretation came to acquire the status it has. The book appears under the series ‘Science and Its Conceptual Foundations’. The first part traces in seven chapters the early major developmental phases of QT such as matrix theory, Born’s probabilistic interpretation, Heisenberg’s uncertainty principle and Bohr’s complementarity framework. Although the historical and scientific details are authentic, the author’s presentation in this part (...)
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