The 1964 theorem of John Bell shows that no model that reproduces the predictions of quantum mechanics can simultaneously satisfy the assumptions of locality and determinism. On the other hand, the assumptions of signal locality plus predictability are also sufficient to derive Bell inequalities. This simple theorem, previously noted but published only relatively recently by Masanes, Acin and Gisin, has fundamental implications not entirely appreciated. Firstly, nothing can be concluded about the ontological assumptions of locality or determinism independently of each (...) other—it is possible to reproduce quantum mechanics with deterministic models that violate locality as well as indeterministic models that satisfy locality. On the other hand, the operational assumption of signal locality is an empirically testable (and well-tested) consequence of relativity. Thus Bell inequality violations imply that we can trust that some events are fundamentally unpredictable, even if we cannot trust that they are indeterministic. This result grounds the quantum-mechanical prohibition of arbitrarily accurate predictions on the assumption of no superluminal signalling, regardless of any postulates of quantum mechanics. It also sheds a new light on an early stage of the historical debate between Einstein and Bohr. (shrink)

This book recalls, for nonscientific readers, the history of quantum mechanics, the main points of its interpretation, and Einstein's objections to it, together with the responses engendered by his arguments. We point out that most popular discussions on the strange aspects of quantum mechanics ignore the fundamental fact that Einstein was correct in his insistence that the theory does not directly describe reality. While that fact does not remove these counterintuitive features, it casts them in a different light."--page vi.

Quantum mechanics, which describes the behavior of subatomic particles, seems to challenge common sense. Waves behave like particles; particles behave like waves. You can tell where a particle is, but not how fast it is moving--or vice versa. An electron faced with two tiny holes will travel through both at the same time, rather than one or the other. And then there is the enigma of creation ex nihilo, in which small particles appear with their so-called antiparticles, only to disappear (...) the next instant in a tiny puff of energy. Since its inception, physicists and philosophers have struggled to work out the meaning of quantum mechanics. Some, like Niels Bohr, have responded to quantum mechanics' mysteries by replacing notions of position and velocity with probabilities. Others, like Einstein and Penrose, have disagreed and think that the entire puzzle reflects not a fundamental principle of nature but our own ignorance of basic scientific processes. Sneaking a Look at God's Cards offers the general reader a deep and real understanding of the problems inherent to the interpretation of quantum mechanics, from its inception to the present. The book presents a balanced overview of current debates and explores how the theory of quantum mechanics plays itself out in the real world. Written from the perspective of a leading European physicist, the book looks extensively at ideas from both sides of the Atlantic and also considers what philosophers have contributed to the scientific discussion of this field. Sneaking a Look at God's Cards sets out what we know about the endlessly fascinating quantum world, how we came to this understanding, where we disagree, and where we are heading in our quest to comprehend the seemingly incomprehensible. (shrink)

In 1916, Einstein rederived the blackbody radiation law of Planck that originated the idea of quantized energy one hundred years ago. For this purpose, Einstein introduced the concept of transition probability, which had a profound influence on the development of quantum theory. In this article, we adopt Einstein's assumptions with two exceptions and seek the statistical condition for the thermal equilibrium of matter without referring to the inner details of either statistical thermodynamics or quantum theory. It is shown that the (...) conditions of thermodynamic equilibrium of electromagnetic radiation and the energy balance of thermal radiation by the matter, between any of its two energy-states, not only result in Planck's radiation law and the Bohr frequency condition, but they remarkably yield the law of the statistical thermal equilibrium of matter: the Maxwell–Boltzmann distribution. Since the transition probabilities of the modern quantum theory of radiation coincide with their definition in Einstein's theory of blackbody radiation, the presented deduction of the Maxwell–Boltzmann distribution is equally valid within the bounds of modern quantum theory. Consequently, within the framework of the fundamental assumptions, the Maxwell–Boltzmann distribution of energy-states is not only a sufficient, but a necessary condition for thermal equilibrium between the matter and radiation. (shrink)

When Wittgenstein moved from Manchester to Cambridge he was following a path from the study of the natural sciences to the study of philosophy which was then not unusual, and has since become increasingly common. Russell had preceded him in that intellectual emigration and many more were to follow. Of the three philosophy departments I have been in, two were headed by natural scientists . Both my research supervisors in philosophy were natural scientists . Less surprising, but still significant, a (...) considerable proportion of Presidents of the British Society for the Philosophy of Science were originally trained as natural scientists. Yet it is a subject still unrecognized by the Royal Society. The editors of both the British Journal for the Philosophy of Science and the journal Analysis were both originally natural scientists. Eminent scientists seem to feel impelled to discuss there own subjects in a wider context of philosophy. Bohr, Schrodinger, Kilmister, Hoyle, Hawking and Penrose, are but a few from a long list. (shrink)

We present a kind of logic named multideductive logic and outline an application of it in the problem of theoretic-formal unification of physical theories dealing with the Bohr atom theory. This is just a preliminary study that will be developed in future papers.

H.B.G. Casimir's life, interests and works are intertwined with the important developments that have taken place in physics during this century. This book was compiled by his friends and admirers in honour of his 80th birthday and concentrates mainly on Casimir's achievements in the field of physics, though without ignoring the peripheral areas of the history and philosophy of physics in which he was greatly interested. The book is divided into four parts. Part I describes Casimir's teachers, Ehrenfest, Bohr and (...) Pauli, and will be of general interest due to the key role which these physicists played in modern developments. The articles do give new facts and provide new insights into the history of modern physics. Part II consists of essays on recent developments in various areas of physics in which Casimir has taken an active interest, such as the modern concept of time, statistical foundations of electrodynamic theory and field theory. The subjects covered in Part III have been selected because of Casimir's efforts in the industrial research area of physics. They cover past, present and future expectations in research. (shrink)

1. Introduction : humanity's urge to understand -- 2. Elements of scientific thinking : skepticism, careful reasoning, and exhaustive evaluation are all vital. Science Is universal -- Maintaining a critical attitude. Reasonable skepticism -- Respect for the truth -- Reasoning. Deduction -- Induction -- Paradigm shifts -- Evaluating scientific hypotheses. Ockham's razor -- Quantitative evaluation -- Verification by others -- Statistics : correlation and causation -- Statistics : the indeterminacy of the small -- Careful definition -- Science at the frontier. (...) When good theories become ugly -- Stuff that just does not fit -- 3. Christopher Columbus and the discovery of the "Indies" : it can be disastrous to stubbornly refuse to recognize that you have falsified your own hypothesis -- 4. Antoine Lavoisier and Joseph Priestley both test the befuddling phlogiston theory : junking a confusing hypothesis may be necessary to clear the way for new and productive science -- 5. Michael Faraday discovers electromagnetic induction but fails to unify electromagnetism and gravitation : it is usually productive to simplify and consolidate your hypotheses -- 6. Wilhelm Röntgen intended to study cathode rays but ended up discovering X-rays : listen carefully when Mother Nature whispers in your ear : she may be leading you to a Nobel Prize -- 7. Max Planck, the first superhero of quantum theory, saves the universe from the ultraviolet catastrophe : assemble two flawed hypotheses about a key phenomenon into a model that fits experiment exactly and people will listen to you even if you must revolutionize physics -- 8. Albert Einstein attacks the problem "Are atoms real?" from every angle : solving a centuries-old riddle in seven different ways can finally resolve it -- 9. Niels Bohr models the hydrogen atom as a quantized system with compelling exactness, but his later career proves that collaboration and developing new talent can become more significant than the groundbreaking research of any individual -- 10. Conclusions, status of science, and lessons for our time. Conclusions from our biographies -- What thought processes lead to innovation? -- Is the scientist an outsider? -- The status of the modern scientific enterprise -- Lessons for our time -- Can the scientific method be applied to public policy? -- Why so little interest in science? -- Knowledge is never complete. (shrink)

Based on the exactly solvable case of a harmonic oscillator, we show that the direct correspondence between the Bohr-Sommerfeld phase of semiclassical quantum mechanics and the topological phase of Aharonov and Anandan is restricted to the case of a coherent state. For other Gaussian wave packets the geometric quantum phase strongly depends on the amount of squeezing.

SummaryIt is not the inconsistency in the sense of classical logic that we have to tolerate. The dialectical reasoning, described by N. Rescher, is outside the domain where CI is defined. The apparent contradiction between CI and paraconsistent logic can be removed by realizing that PL is a widening of the conceptual framework of classical logic. In this new framework the meaning of some words was changed similarly as, according to N. Bohr, in quantum mechanics the words “particle” and “wave” (...) have changed their meaning. (shrink)

We further develop a recent new proof (by Greenberger, Horne, and Zeilinger—GHZ) that local deterministic hidden-variable theories are inconsistent with certain strict correlations predicted by quantum mechanics. First, we generalize GHZ's proof so that it applies to factorable stochastic theories, theories in which apparatus hidden variables are causally relevant to measurement results, and theories in which the hidden variables evolve indeterministically prior to the particle-apparatus interactions. Then we adopt a more general measure-theoretic approach which requires that GHZ's argument be modified (...) in order to produce a valid proof. Finally, we motivate our more general proof's assumptions in a somewhat different way from previous authors in order to strengthen the implications of our proof as much as possible. After developing GHZ's proof along these lines, we then consider the analogue, for our proof, of Bohr's reply to the EPR argument, and conclude (pace GHZ) that in at least one respect (viz. that of most concern to Bohr) the proof is no more powerful than Bell's. Nevertheless, we point out some new advantages of our proof over Bell's, and over other algebraic proofs of nonlocality. And we conclude by giving a modified version of our proof that, like Bell's, does not rely on experimentally unrealizable strict correlations, but still leads to a testable “quasi-algebraic” locality inequality.“... to admit things not visible to the gross creatures that we are is, in my opinion, to show a decent humility, and not just a lamentable addiction to metaphysics.”J. S. Bell. (shrink)

It is shown how the development of physics has involved making explicit what were homocentric projections which had heretofore been implicit, indeed inexpressible in theory. This is shown to support a particular notion of the invariant as the real. On this basis the divergence in ideals of physical intelligibility between Bohr and Einstein is set out. This in turn leads to divergent, but explicit, conceptions of objectivity and completeness for physical theory. *I am indebted to Dr. G. McLelland. Professor F. (...) Rohrlich and an anonymous referee of this journal for several improvements in the formulation of the paper. (shrink)

A mecânica quântica instituiu uma linguagem matemática inteiramente inédita. Essa mudança na física exigiu que físicos e filósofos repensassem os conceitos pelos quais se podiam representar a realidade, uma vez que as noções clássicas se revelaram limitadas na compreensão dos fenômenos atômicos. O filósofo francês G. Bachelard e o físico alemão W. Heisenberg são autores que discorreram acerca das grandes modificações que ocorreram no seio da física, e, com isso, trataram do problema da linguagem na mecânica quântica. Neste artigo, o (...) objetivo é recorrer aos argumentos de ambos os autores para evidenciar relações entre suas ideias acerca da temática referida. Destaca-se que Bachelard e Heisenberg criticam a aplicação da linguagem usual e dos conceitos filosóficos da modernidade na nova física, mas, mediante sua noção de ruptura, o filósofo francês propõe que a mecânica quântica se restrinja à linguagem matemática. Ideia esta que vai contra ao princípio de complementaridade de Bohr, admitido por Heisenberg na compreensão dos fenômenos quânticos e para uma interpretação da física quântica. (shrink)

As an alternative for causality – which modern science found to be rather construed than objective – Jung developed his idea of synchronicity according to the demands of a modern scientific approach of nature. As I will show in the following paper, even if he promised a complementary principle of explanation, he ended by offering a principle of reality. His attempt gave birth to a pretty vast literature that links Jung’s synchronicity to Bohr’s complementarity. I will show that such a (...) connection, although not entirely groundless, should be treated with caution as long as the two approaches of reality are on completely different bases. Keywords: Jung, Bohr, causality, the measurement problem, quantum epistemology. (shrink)

The Bohr formulation—the original one—is now largely a matter of history. The usual career of a theory was its fate. It explained much, but it failed at the first signs of complication, even for the simplest molecules as hydrogen and helium. Some results were either only approximate in a loose or incomplete fashion, e.g. in the application of the correspondence principle to intensities, the only reliable predictions being only for an absence of certain lines, or they quite disagreed with experiment, (...) e.g. in the case of the hydrogen molecule and the hydrogen molecule ion, the normal and excited states of helium, the anomalous Zeeman effect, the Ramsauer effect, and in the treatment of problems where more than one electron was involved. In the last mentioned cases the perturbation method, so successful in solving “many-body” problems in celestial mechanics, failed completely because systems of several electrons, possessing frequencies of the order of light waves, cannot interact classically. A bit of much forced pragmatism was practiced in treating the many electron atom as a variation of the hydrogen atom. Besides, there were technical oddities, like ½ quantum numbers, and impenetrated anologies between visible and X-ray spectra. (shrink)

This essay examines some of the arguments in David Deutsch's book The Fabric of Reality , chief among them its case for the so-called many-universe interpretation of quantum mechanics (QM), presented as the only physically and logically consistent solution to the QM paradoxes of wave/particle dualism, remote simultaneous interaction, the observer-induced 'collapse of the wave-packet', etc. The hypothesis assumes that all possible outcomes are realized in every such momentary 'collapse', since the observer splits off into so many parallel, coexisting, but (...) epistemically non-interaccessible 'worlds' whose subsequent branchings constitute the lifeline-or experiential world-series- for each of those proliferating centres of consciousness. Although Deutsch concedes that his 'multiverse' theory is counter-intuitive, he none the less takes it to be borne out beyond question by the sheer observational/predictive success of QM and the conceptual dilemmas that supposedly arise with alternative (single-universe) accounts. Moreover, he claims the theory resolves a range of longstanding philosophical problems, notably those of mind/body dualism, the various traditional paradoxes of time, and the freewill/determinism issue. The essay suggests on the contrary, that Deutsch unwittingly transposes into the framework of presentday quantum debate speculative themes from the history of rationalist metaphysics, often with bizarre or philosophically dubious results, and that he rules out at least one promising rival account, namely Bohm's 'hidden variables' theory. It goes on to consider reasons for resistance to that theory among proponents of the 'orthodox' (Copenhagen) doctrine, and for the strong anti-realist, at times even irrationalist bias that has characterized much of this discussion since Bohr's debates with Einstein about quantum non-locality, observer-intervention, and the limits of precise measurement. Finally, the contrast is pointed out between Deutsch's ontologically extravagant use of the many-worlds hypothesis (akin to certain ideas advanced by speculative metaphysicians from Leibniz down) and those realist modes of counterfactual reasoning- e.g. in Kripke and the early Putnam- which deploy similar arguments to very different causal-explanatory ends. (shrink)

The traditional formalism of quantum mechanics is mainly used to describe ensembles of identical systems (with a density-operator formalism) or single isolated systems, but is not capable of describing single open quantum objects with many degrees of freedom showing pure-state stochastic dynamical behaviour. In particular, stochastic 'line-migration' as in single-molecule spectroscopy of defect molecules in a molecular matrix is not adequately described. Starting with the Bohr scenario of stochastic quantum jumps (between strict energy eigenstates), we try to incorporate more general (...) pure-state stochastic dynamical behaviour into the quantum mechanical formalism.Probability distributions of (approximately) pure states, arising through the stochastic pure-state dynamics for long times, give rise to appropriate decompositions of thermal density operators. These decompositions of density operators into pure states mediate between quantum mechanics for ensembles of molecules and quantum theory for single molecules (or single dressed quantum objects). We suggest that such decompositions should be consistent with infinite limits (e.g. the Born-Oppenheimer limit for infinite nuclear masses) in the sense that quantum fluctuations (around classical behaviour in the infinite limit) die out asymptotically. (shrink)

The centerpiece of Jeffrey Bub's book Interpreting the Quantum World is a theorem (Bub and Clifton 1996) which correlates each member of a large class of no-collapse interpretations with some 'privileged observable'. In particular, the Bub-Clifton theorem determines the unique maximal sublattice L(R,e) of propositions such that (a) elements of L(R,e) can be simultaneously determinate in state e, (b) L(R,e) contains the spectral projections of the privileged observable R, and (c) L(R,e) is picked out by R and e alone. In (...) this paper, we explore the issue of maximal determinate sets of observables using the tools provided by the algebraic approach to quantum theory; and we call the resulting algebras of determinate observables, "maximal *beable* subalgebras". The capstone of our exploration is a generalized version of Bub and Clifton's theorem that applies to arbitrary (i.e., both mixed and pure) quantum states, to Hilbert spaces of arbitrary (i.e., both finite and infinite) dimension, and to arbitrary observables (including those with a continuous spectrum). Moreover, in the special case covered by the original Bub-Clifton theorem, our theorem reproduces their result under strictly weaker assumptions. This added level of generality permits us to treat several topics that were beyond the reach of the original Bub-Clifton result. In particular: (a) We show explicitly that a (non-dynamical) version of the Bohm theory can be obtained by granting privileged status to the position observable. (b) We show that Clifton's (1995) characterization of the Kochen-Dieks modal interpretation is a corollary of our theorem in the special case when the density operator is taken as the privileged observable. (c) We show that the 'uniqueness' demonstrated by Bub and Clifton is only guaranteed in certain special cases -- viz., when the quantum state is pure, or if the privileged observable is compatible with the density operator. We also use our results to articulate a solid mathematical foundation for certain tenets of the orthodox Copenhagen interpretation of quantum theory. For example, the uncertainty principle asserts that there are strict limits on the precision with which we can know, simultaneously, the position and momentum of a quantum-mechanical particle. However, the Copenhagen interpretation of this fact is not simply that a precision momentum measurement necessarily and uncontrollably disturbs the value of position, and vice-versa; but that position and momentum can never in reality be thought of as simultaneously determinate. We provide warrant for this stronger 'indeterminacy principle' by showing that there is no quantum state that assigns a sharp value to both position and momentum; and, a fortiori, that it is mathematically impossible to construct a beable algebra that contains both the position observable and the momentum observable. We also prove a generalized version of the Bub-Clifton theorem that applies to "singular" states (i.e., states that arise from non-countably-additive probability measures, such as Dirac delta functions). This result allows us to provide a mathematically rigorous reconstruction of Bohr's response to the original EPR argument -- which makes use of a singular state. In particular, we show that if the position of the first particle is privileged (e.g., as Bohr would do in a position measuring context), the position of the second particle acquires a definite value by virtue of lying in the corresponding maximal beable subalgebra. But then (by the indeterminacy principle) the momentum of the second particle is not a beable; and EPR's argument for the simultaneous reality of both position and momentum is undercut. (shrink)

Reminiscences of Peter, by P. Oppenheim.--Natural kinds, by W. V. Quine.--Inductive independence and the paradoxes of confirmation, by J. Hintikka.--Partial entailment as a basis for inductive logic, by W. C. Salmon.--Are there non-deductive logics?, by W. Sellars.--Statistical explanation vs. statistical inference, by R. C. Jeffre--Newcomb's problem and two principles of choice, by R. Nozick.--The meaning of time, by A. Grünbaum.--Lawfulness as mind-dependent, by N. Rescher.--Events and their descriptions: some considerations, by J. Kim.--The individuation of events, by D. Davidson.--On properties, by (...) H. Putnam.--A method for avoiding the Curry paradox, by F. B. Fitch.--Publications (1934-1969) by Carl G. Hempel (p. [266]-270). (shrink)

In speaking of empirical science as a self-correcting process one implies that a proposition accepted in accordance with the rules of procedure may have to be eliminated later according to these very rules. Taking this for granted one realizes that a particular empirical science, say physics, should be defined in terms of rules of method rather than as a system of propositions representing our knowledge at a given time. Obviously both the science of Galileo and Newton and the science of (...) Einstein and Bohr are called ''physics'' and we do not regard this as a mere equivocation. It may, however, be objected that a definition of a science in terms of rules of method is incompatible with the view that a science consists of a set of propositions. To meet this objection I propose that we distinguish between the structure of a science as defined in terms of the rules of method and the corpus of this science at a given time, i.e., the set of propositions accepted at this time in accordance with the rules of method of this science. The relation between the structure of a science and the corpus of a science is similar to that obtaining between the structure of a legal order, e.g., American law, which is defined by the rules of the process of legislation in the broadest sense and the legal norms which are the corpus of law at a given time. It should then be noted that the assertion that a certain proposition belongs to a given science is incomplete without a time-index. The scientist changes the corpus of his science either by introducing new propositions to it or by eliminating propositions which were previously accepted and did not stand further control. The significance of whatever else he does in the course of his inquiry can be determined only in the light of this selection. There are two stages in this process of selection. The first is exclusively concerned with meanings as such. The scientist has to ascertain that a given aggregate of words represents a proposition, that this proposition contains only objective meanings, that it is not self-contradictory, that it belongs to the subject-matter of the particular science. The second phase of the selection, exhibited in scientific procedure in the strict sense, applies only to such propositions which have passed this preexamination. We shall call those rules of method in terms of which the first stage of selection is defined rules of the language of science and those rules in terms of which the second stage is defined rules of the procedure of science. In this paper I shall try to show how important it is to distinguish clearly between these two types of rules. I shall first deal with the rules of the language of science and confine myself to sciences dealing with the physical world. (shrink)

P. KOnig: Einleitung - P. ZIche: Idiographik und allgemeine Wissenschaftlichkeit - Windelband und die Wissenschaftsreflexion um 1900 - G. HArtung: Ein Philosoph korrigiert sich selbst - Wilhelm Windelbands Abkehr vom Relativismus - O. SChlaudt: Philosophie am Leitfaden der Empirie. WIndelbands relativistisches Programm - S. KUft: Windelbands Konzeption von Transzendentalphilosophie und ihr Bezug zur Kulturphilosophie - R. BOnito Oliva: Windelband. KUlturphilosophie und Kulturkrise - P. KOnig: Teleologie und Geschichte bei Wilhelm Windelband - J. BOhr: Im Fortschreiben der Probleme: Windelbands 19. JAhrhundert (...) - T.-H. CHang: Der Wertbegriff beiWilhelm Windelband und sein Konzept der Problemgeschichte - T. KUbalica: Die Geschichte der Philosophie als Problemgeschichte - J. MEhlich: Windelbands Praludien und das Silberne Zeitalter in Russland - G. SChluter: Windelbands italienische Kontakte und Bezugnahmen - D. STefanelli: Notizen uber Karl Vossler und die "Sudwestdeutsche Schule" - C. ZAnfi: Geschichte, Natur und Leben: Windelband und Bergson in der Historismus-Debatte - J.-I. LIndén: Der beseelte Geist: Dilthey als Kritiker der badischen Schule - H. GUndlach: Windelbands Ringen mit der Psychologie - Anhang: Wilhelm Windelband: Blaue Hefte zur Psychologie. (shrink)

Some conceptual problems of quantum theory, by A. Fine.--Philosophical implications of contemporary particle physics, by G. Feinberg.--The physics of logic, by D. Finkelstein.--The nature of quantum mechanical reality: Einstein versus Bohr, by C. A. Hooker.--A formal approach to the philosophy of science, by B. C. Van Fraassen.--On the conceptual structure of quantum mechanics, by H. Stein.

Quantum theory predicts that, e.g., in a Stern-Gerlach experiment with electrons the measured spin component $S_Z = \pm \frac{1}{2}$ does not come about by an adjustment at the last moment, a forced “flipping” or “tilting” of the spin (vector), which would imply z-angular momentum exchange between particle and instrument, but will afterward appear to have had the value $\frac{1}{2} or - \frac{1}{2}$ already before the measurement. Because an electron spin cannot have components $ \pm \frac{1}{2}$ in all directions at the (...) same time, the measuring direction has a “privileged” status before the measurement, however we choose that direction, which implies a retroactive effect. A second proof of retroactivity is derived from a special case of the paradox of Einstein, Podolsky, and Rosen. It is strongly suggested by our result that, in essential respects, both Bohr and Einstein were right in their famous controversy about determinism and considering microprocesses “as a whole.”. (shrink)

We wish to draw attention to an unfortunate error that appeared in ‘The Interpretation of Quantum Mechanics’ by Max Born in the previous Number on p. 106, L 3, where ‘Bohr’ should of course read ‘Bohm’. We regret making the author appear to have thrown his ally, Professor Bohr, to his opponents.—Ed.Corrections for ‘A Variant to Hubert's Theory of the Foundations of Arithmetic’ by G. Kreisel in the previous Number have been received too late to be included here. They will (...) be given in the next Number. (shrink)

A generalized and unifying viewpoint to both general relativity and quantum mechanics and information is investigated. It may be described as a generaliztion of the concept of reference frame from mechanics to thermodynamics, or from a reference frame linked to an element of a system, and thus, within it, to another reference frame linked to the whole of the system or to any of other similar systems, and thus, out of it. Furthermore, the former is the viewpoint of general relativity, (...) the latter is that of quantum mechanics and information. Ciclicity in the manner of Nicolas Cusanus (Nicolas of Cusa) is complemented as a fundamental and definitive property of any totality, e.g. physically, that of the universe. It has to contain its externality within it somehow being namely the totality. This implies a seemingly paradoxical (in fact, only to common sense rather logically and mathematically) viewpoint for the universe to be repesented within it as each one quant of action according to the fundamental Planck constant. That approach implies the unification of gravity and entanglement correspondiing to the former or latter class of reference frames. An invariance, more general than Einstein's general covariance is to be involved as to both classes of reference frames unifying them. Its essence is the unification of the discrete and cotnitinuous (smooth). That idea underlies implicitly quantum mechanics for Bohr's principle that it study the system of quantum microscopic entities and the macroscopic apparatus desribed uniformly by the smmoth equations of classical physics. (shrink)

Indeterminism of quantum mechanics is considered as an immediate corollary from the theorems about absence of hidden variables in it, and first of all, the Kochen – Specker theorem. The base postulate of quantum mechanics formulated by Niels Bohr that it studies the system of an investigated microscopic quantum entity and the macroscopic apparatus described by the smooth equations of classical mechanics by the readings of the latter implies as a necessary condition of quantum mechanics the absence of hidden variables, (...) and thus, quantum indeterminism. Consequently, the objectivity of quantum mechanics and even its possibility and ability to study its objects as they are by themselves imply quantum indeterminism. The so-called free-will theorems in quantum mechanics elucidate that the “valuable commodity” of free will is not a privilege of the experimenters and human beings, but it is shared by anything in the physical universe once the experimenter is granted to possess free will. The analogical idea, that e.g. an electron might possess free will to “decide” what to do, scandalized Einstein forced him to exclaim (in a letter to Max Born in 2016) that he would be а shoemaker or croupier rather than a physicist if this was true. Anyway, many experiments confirmed the absence of hidden variables and thus quantum indeterminism in virtue of the objectivity and completeness of quantum mechanics. Once quantum mechanics is complete and thus an objective science, one can ask what this would mean in relation to classical physics and its objectivity. In fact, it divides disjunctively what possesses free will from what does not. Properly, all physical objects belong to the latter area according to it, and their “behavior” is necessary and deterministic. All possible decisions, on the contrary, are concentrated in the experimenters (or human beings at all), i.e. in the former domain not intersecting the latter. One may say that the cost of the determinism and unambiguous laws of classical physics, is the indeterminism and free will of the experimenters and researchers (human beings) therefore necessarily being out of the scope and objectivity of classical physics. This is meant as the “deterministic subjectivity of classical physics” opposed to the “indeterminist objectivity of quantum mechanics”. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:388 HISTORY OF PHILOSOPHY Beyond the Edge of Certainty: Essays in Contemporary Science and Philosophy. Edited with an Introduction by Robert G. Colodny. (Englewood Cliffs, New Jersey: Prentice-Hall, Inc., 1965.) This is the second volume of lectures on various current topics in the philosophy of the physical, biological, and social sciences which has been published under the auspices of the Center for Philosophy of Science at the University of (...) Pittsburg. Volume I, Frontiers o] Science and Philosophy, also edited by Professor Colodny, appeared in 1962. Five of the seven lectures contained in this volume treat topics which fall within the philosophy of physics. The persistent student who is without a technical background in either logic or physics will find these for the most part quite readable. Considering this, it is worthy of note that, while the lectures are not of uniform quality in this respect, several problems are treated with sufficient freshness of insight to justify the interest of the philosopher of science as such. Since I cannot discuss all of the lectures, I will restrict my comments, for the most part, to those the significance of which I think I understand best and which deal significantly with some aspect of the history of philosophy. In "Newton's First Law: A Philosopher's Door into Natural Philosophy," Norwood Russell Hanson exhibits what has become a widely accepted analysis of Newton's First Law as a model to be applied to theories in science which must be regarded as, in some sense, true, but which, in principle, are not empirically demonstrable. Briant Ellis, in "The Origin and Nature of Newton's Laws of Motion," deals in a somewhat parallel way with all three of Newton's laws of motion. It is argued that these laws are primarily conceptual in origin. Evidence is marshalled that they were derived from Cartesian physics. That no amount of empirical work could establish or provide support for a principle of natural motion is held by Ellis to be due to the fact that "force" is conceived as something that exists only in order to explain effects. "Since we are at liberty to choose to regard whatever changes or states we please as natural (i.e., as not being effects) it follows that the forces which we should say are operative in nature depend upon the choices we actually make" (65). It would, I think be difficult to show that any one of the points Ellis makes, with the exception of his interesting historical note on the probable origin of Newton's laws of motion, has not previously been made. All, or nearly all, of these points were set forth, at least in outline, for example, by William Werkmeister in A Philosophy o] Science. The approach Ellis makes to his development of the concept of "force," however, is both fresh and incisive and worthy of careful study. In "A Philosopher looks at Quantum Mechanics," Hillary Putnam exhibits the Copenhagen interpretation of quantum mechanics of Bohr and Heisenberg, viewed in historical perspective, as the most adequate of several unsatisfactory theories. He finds the locus of the problem to lie in a suitable definition of "measurement." Noting that Heisenberg's definition (improperly) appeals to the macrocosm conceived in terms of classical mechanics, he seeks to clarify some of the issues that must follow the attempt to define measurement within the context of quantum mechanics. Putnam holds the relative sharpness of macroobservables for Bohr and Heisenberg to be an underived assumption of their theory. Since the quantities of which macro-observables are supposed to be averages are not (in quantum mechanics) required always to exist, this assumption cannot be derived from a plausible definition of macro-observables together with a suitable formulation of the laws of quantum mechanics. Moving from Bohr and Heisenberg's conclusion that measurement requires interaction of a system (or part of a system) measured with respect to an outside system, and that macroobservables do not exist unless measured, measurement for quantum mechanics is defined as "an interaction in which a system A (the 'measured' system), which was previously isolated, interacts with a system B (the 'measuring' system) in such a way as to cause a... (shrink)

В монографии опубликованы статьи преподавателей, аспирантов кафедры философии ВГПУ и других вузов, посвященные актуальным проблемам философии науки, философским проблемам конкретно-научного знания.

For the last 25 years, since publication of his Logical Studies, Professor Von Wright has steadily explored the field of philosophical logic. The concept of negation, logical paradoxes, the puzzles connected with evidence and probability in confirmation theory, the interrelatedness of the ideas of time and change, and the clarification of the structure of temporal and spatial orderings are among the many areas he has profitably investigated.