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Added by: Laura Jimenez
Abstract: Many solutions have been proposed for solving the problem of macroscopic superpositions of wave function ontology. A possible solution is to assume that, while the wave function provides the complete description of the system, its temporal evolution is not given by the Schroedinger equation. The usual Schroedinger evolution is interrupted by random and sudden "collapses". The most promising theory of this kind is the GRW theory, named after the scientists that developed it: Gian Carlo Ghirardi, Alberto Rimini and Tullio Weber. It seems tempting to think that in GRW we can take the wave function ontologically seriously and avoid the problem of macroscopic superpositions just allowing for quantum jumps. In this paper it is argued that such "bare" wave function ontology is not possible, neither for GRW nor for any other quantum theory: quantum mechanics cannot be about the wave function simpliciter. All quantum theories should be regarded as theories in which physical objects are constituted by a primitive ontology. The primitive ontology is mathematically represented in the theory by a mathematical entity in three-dimensional space, or space-time.Klenk, Virginia. Understanding Symbolic Logic2008, Pearson Prentice Hall.-
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Added by: Berta GrimauPublisher’s Note:
Description - This comprehensive introduction presents the fundamentals of symbolic logic clearly, systematically, and in a straightforward style accessible to readers. Each chapter, or unit, is divided into easily comprehended small bites that enable learners to master the material step-by-step, rather than being overwhelmed by masses of information covered too quickly. The book provides extremely detailed explanations of procedures and techniques, and was written in the conviction that anyone can thoroughly master its content. A four-part organization covers sentential logic, monadic predicate logic, relational predicate logic, and extra credit units that glimpse into alternative methods of logic and more advanced topics.Comment: This book is ideal for a first introduction course to formal logic. It doesn't presuppose any logical knowledge. It covers propositional and first-order logic (monadic and relational).
McGowan, M.K. The Metaphysics of Squaring Scientific Realism with Referential Indeterminacy1999, Erkenntnis 50(1): 87-94.-
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Added by: Laura Jimenez
Introduction: Scientific realism and the claim that there is radical referential indeterminacy are important and compelling philosophical theses. Each thesis has advocates and for good reason. On cursory examination, however, it seems that these theses are at odds with one another. It seems that one cannot both claim that science seeks to describe an objective reality and yet deny that reality is objectively structured in such a way as to determine the referents of our terms. Since there are compelling reasons in favour of each thesis and since it appears that some philosophers actually advocate both theses (Quine himself may be one such example), finding a way to square the theses would be multiply advantageous. On this paper, the author argues that despite the prima facie tension between them, these theses are indeed cotenable.Comment: Interesting paper that lies on the intersection between philosophy of science and philosophy of language. It could be used as a secondary reading for postgraduate courses in philosophy of science, in particular for lectures on the topic of scientific realism. The level of difficulty is not high, but it is more recommendable for students who have been introduced before to concepts such as realism, subjective supervientism and referential indeterminacy.
Drewery, Alice. Essentialism and the Necessity of the Laws of Nature2005, Synthese 144(3): 381-396.-
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Added by: Laura Jimenez
Abstract: In this paper the author discusses and evaluates different arguments for the view that the laws of nature are metaphysically necessary. She conclude that essentialist arguments from the nature of natural kinds fail to establish that essences are ontologically more basic than laws, and fail to offer an a priori argument for the necessity of all causal laws. Similar considerations carry across to the argument from the dispositionalist view of properties, which may end up placing unreasonable constraints on property identity across possible worlds. None of her arguments preclude the possibility that the laws may turn out to be metaphysically necessary after all, but she argues that this can only be established by a posteriori scientific investigation. She argues for what may seem to be a surprising conclusion: that a fundamental metaphysical question - the modal status of laws of nature - depends on empirical facts rather than purely on a priori reasoning.Comment: An excellent paper that could serve as further or specialized reading for postgraduate courses in philosophy of science, in particular, for modules related to the study of the laws of nature. The paper offers an in-depth discussion of essentialist arguments, but also touches upon many other fundamental concepts such as grounding, natural kinds, dispositions and necessity.
Maddy, Penelope. The Philosophy of Logic2012, Bulletin of Symbolic Logic 18(4): 481-504.-
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Added by: Berta Grimau, Contributed by: Matt Clemens
Abstract: This talk surveys a range of positions on the fundamental metaphysical and epistemological questions about elementary logic, for example, as a starting point: what is the subject matter of logic - what makes its truths true? how do we come to know the truths of logic? A taxonomy is approached by beginning from well-known schools of thought in the philosophy of mathematics - Logicism, Intuitionism, Formalism, Realism - and sketching roughly corresponding views in the philosophy of logic. Kant, Mill, Frege, Wittgenstein, Carnap, Ayer, Quine, and Putnam are among the philosophers considered along the way.Comment: This is a survey article which considers positions within philosophy of logic analogous to the views held by the various schools of the philosophy of mathematics. The article touches briefly on many positions and authors and is thus an excellent introduction to the philosophy of logic, specially for students already familiar with the philosophy of mathematics. The text is informal and it does not involve any proofs.
Ismael, Jenann. Quantum Mechanics2014, The Standford Encyclopedia of Philosophy-
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Added by: Laura Jimenez
Introduction: Quantum mechanics is, at least at first glance and at least in part, a mathematical machine for predicting the behaviors of microscopic particles - or, at least, of the measuring instruments we use to explore those behaviors - and in that capacity, it is spectacularly successful: in terms of power and precision, head and shoulders above any theory we have ever had. Mathematically, the theory is well understood; we know what its parts are, how they are put together, and why, in the mechanical sense (i.e., in a sense that can be answered by describing the internal grinding of gear against gear), the whole thing performs the way it does, how the information that gets fed in at one end is converted into what comes out the other. The question of what kind of a world it describes, however, is controversial; there is very little agreement, among physicists and among philosophers, about what the world is like according to quantum mechanics. Minimally interpreted, the theory describes a set of facts about the way the microscopic world impinges on the macroscopic one, how it affects our measuring instruments, described in everyday language or the language of classical mechanics. Disagreement centers on the question of what a microscopic world, which affects our apparatuses in the prescribed manner, is, or even could be, like intrinsically; or how those apparatuses could themselves be built out of microscopic parts of the sort the theory describes.Comment: The paper does not deal with the problem of the interpretation of quantum mechanics, but with the mathematical heart of the theory; the theory in its capacity as a mathematical machine. It is recommendable to read this paper before starting to read anything about the interpretations of the theory. The explanation is very clear and introductory and could serve as an introductory reading for both undergraduate and postgraduate courses in philosophy of science focused on the topic of quantum mechanics. Though clearly written, there is enough mathematics here to potentially put off symbol-phobes.
Cauman, Leigh S.. First Order Logic: An Introduction1998, Walter de Gruyter & Co.-
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Added by: Berta Grimau, Contributed by: Matt Clemens
Publisher's Note: This teaching book is designed to help its readers to reason systematically, reliably, and to some extent self-consciously, in the course of their ordinary pursuits-primarily in inquiry and in decision making. The principles and techniques recommended are explained and justified - not just stated; the aim is to teach orderly thinking, not the manipulation of symbols. The structure of material follows that of Quine's Methods of Logic, and may be used as an introduction to that work, with sections on truth-functional logic, predicate logic, relational logic, and identity and description. Exercises are based on problems designed by authors including Quine, John Cooley, Richard Jeffrey, and Lewis Carroll.Comment: This book is adequate for a first course on formal logic. Moreover, its table of contents follows that of Quine's "Methods of Logic", thus it can serve as an introduction or as a reference text for the study of the latter.
Fisher, Jennifer. On the Philosophy of Logic2007, Cengage Learning.-
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Added by: Berta Grimau, Contributed by: Matt Clemens
Publisher's Note: Jennifer Fisher's On the Philosophy of Logic explores questions about logic often overlooked by philosophers. Which of the many different logics available to us is right? How would we know? What makes a logic right in the first place? Is logic really a good guide to human reasoning? An ideal companion text for any course in symbolic logic, this lively and accessible book explains important logical concepts, introduces classical logic and its problems and alternatives, and reveals the rich and interesting philosophical issues that arise in exploring the fundamentals of logic.Comment: This book provides an introduction to some traditional questions within philosophy of logic. Moreover, it presents some non-classical logics. It includes an introduction to formal classical logic, so no previous technical knowledge is required. Adequate for a first course on philosophy of logic, either as main or further reading.
Friend, Michele. Introducing Philosophy of Mathematics2007, Acumen; reprinted by Routledge (2014).-
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Added by: Berta Grimau, Contributed by: Matt Clemens
Publisher's Note: What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual accessibility and correct representation of the issues. Friend examines the standard theories of mathematics - Platonism, realism, logicism, formalism, constructivism and structuralism - as well as some less standard theories such as psychologism, fictionalism and Meinongian philosophy of mathematics. In each case Friend explains what characterises the position and where the divisions between them lie, including some of the arguments in favour and against each. This book also explores particular questions that occupy present-day philosophers and mathematicians such as the problem of infinity, mathematical intuition and the relationship, if any, between the philosophy of mathematics and the practice of mathematics. Taking in the canonical ideas of Aristotle, Kant, Frege and Whitehead and Russell as well as the challenging and innovative work of recent philosophers like Benacerraf, Hellman, Maddy and Shapiro, Friend provides a balanced and accessible introduction suitable for upper-level undergraduate courses and the non-specialist.Comment: This book provides an introduction to the philosophy of mathematics. No previous mathematical skills/knowledge required. Suitable for undergraduate courses on philosophy of mathematics.
Uckelman, Sara L.. A Quantified Temporal Logic for Ampliation and Restriction2013, Vivarium 51(1-4): 485-510.-
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Added by: Berta Grimau, Contributed by: Sara L. Uckelman
Abstract: Temporal logic as a modern discipline is separate from classical logic; it is seen as an addition or expansion of the more basic propositional and predicate logics. This approach is in contrast with logic in the Middle Ages, which was primarily intended as a tool for the analysis of natural language. Because all natural language sentences have tensed verbs, medieval logic is inherently a temporal logic. This fact is most clearly exemplified in medieval theories of supposition. As a case study, we look at the supposition theory of Lambert of Lagny (Auxerre), extracting from it a temporal logic and providing a formalization of that logic.Comment: This article employs modal-temporal logic with Kripke semantics to formalize a particular supposition theory (Lambert of Lagny’s). Thus, it includes an original proposal. Moreover, it provides both an introduction to medieval supposition theory and an introduction to Kripke semantics. So, it could be used as a means to work on either of those topics. It does not involve many technicalities, but a bit of familiarity with modal logic is recommended.
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Allori, Valia. On the metaphysics of quantum mechanics
2013, In Soazig Lebihan (ed.), Precis de la Philosophie de la Physique, Vuibert.
Comment: This is a very interesting article on the ontology of Quantum Mechanics. It is recommended for advanced courses in Philosophy of Science, especially for modules in the Philosophy of physics. Previous knowledge of Bohmian mechanics and the Many Words Interpretation is necessary. Recommended for postgraduate students.