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Journal articles on the topic 'Mathematical physics – Philosophy'

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Published: 4 June 2021

Last updated: 4 February 2022

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1

Westphal, Kenneth R. "Hegel, Philosophy, and Mathematical Physics." Hegel Bulletin 18, no. 02 (1997): 1–15. http://dx.doi.org/10.1017/s0263523200008089.

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2

Friedman, Michael. "Transcendental philosophy and mathematical physics." Studies in History and Philosophy of Science Part A 34, no. 1 (2003): 29–43. http://dx.doi.org/10.1016/s0039-3681(02)00085-7.

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3

Glazebrook, Trish. "Zeno Against Mathematical Physics." Journal of the History of Ideas 62, no. 2 (2001): 193–210. http://dx.doi.org/10.1353/jhi.2001.0014.

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4

Mainzer, Klaus. "The Digital and the Real Universe. Foundations of Natural Philosophy and Computational Physics." Philosophies 4, no. 1 (2019): 3. http://dx.doi.org/10.3390/philosophies4010003.

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In the age of digitization, the world seems to be reducible to a digital computer. However, mathematically, modern quantum field theories do not only depend on discrete, but also continuous concepts. Ancient debates in natural philosophy on atomism versus the continuum are deeply involved in modern research on digital and computational physics. This example underlines that modern physics, in the tradition of Newton’s Principia Mathematica Philosophiae Naturalis, is a further development of natural philosophy with the rigorous methods of mathematics, measuring, and computing. We consider fundam

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5

Adams, Marcus P. "Natural Philosophy, Deduction, and Geometry in the Hobbes-Boyle Debate." Hobbes Studies 30, no. 1 (2017): 83–107. http://dx.doi.org/10.1163/18750257-03001005.

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This paper examines Hobbes’s criticisms of Robert Boyle’s air-pump experiments in light of Hobbes’s account in De Corpore and De Homine of the relationship of natural philosophy to geometry. I argue that Hobbes’s criticisms rely upon his understanding of what counts as “true physics.” Instead of seeing Hobbes as defending natural philosophy as “a causal enterprise … [that] as such, secured total and irrevocable assent,” 1 I argue that, in his disagreement with Boyle, Hobbes relied upon his understanding of natural philosophy as a mixed mathematical science. In a mixed mathematical science one

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6

Wilson, Robin. "19th-Century Mathematical Physics." Mathematical Intelligencer 40, no. 4 (2018): 100. http://dx.doi.org/10.1007/s00283-018-9836-0.

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7

Davey, Kevin. "Is Mathematical Rigor Necessary in Physics?" British Journal for the Philosophy of Science 54, no. 3 (2003): 439–63. http://dx.doi.org/10.1093/bjps/54.3.439.

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8

Frketich, Elise. "Wolff and Kant on the Mathematical Method." Kant-Studien 110, no. 3 (2019): 333–56. http://dx.doi.org/10.1515/kant-2019-2011.

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Abstract Wolff advocates the mathematical method, which consists in chains of syllogisms that proceed from axioms and definitions to theorems, for achieving scientific certainty in branches of philosophy like ontology and physics. By contrast, in ‘The Discipline of Pure Reason in its Dogmatic Use’ Kant significantly limits the efficacy of this method in philosophy. In this paper I investigate an under-examined result of the Discipline: Kant’s claim that his system of philosophy does not contain “dogmata”. By identifying “dogmata” in Wolff’s system of physics, I argue that, for Kant, they are p

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9

Bitbol, Michel. "Mathematical Demonstration and Experimental Activity: A Wittgensteinian Philosophy of Physics." Philosophical Investigations 41, no. 2 (2018): 188–203. http://dx.doi.org/10.1111/phin.12187.

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10

Deutsch, David, Artur Ekert, and Rossella Lupacchini. "Machines, Logic and Quantum Physics." Bulletin of Symbolic Logic 6, no. 3 (2000): 265–83. http://dx.doi.org/10.2307/421056.

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§1. Mathematics and the physical world. Genuine scientific knowledge cannot be certain, nor can it be justified a priori. Instead, it must be conjectured, and then tested by experiment, and this requires it to be expressed in a language appropriate for making precise, empirically testable predictions. That language is mathematics.This in turn constitutes a statement about what the physical world must be like if science, thus conceived, is to be possible. As Galileo put it, “the universe is written in the language of mathematics”. Galileo's introduction of mathematically formulated, testable th

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11

Gauthier, Yvon. "The logical analysis of mathematical physics." Zeitschrift für allgemeine Wissenschaftstheorie 16, no. 2 (1985): 251–60. http://dx.doi.org/10.1007/bf01803674.

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Ivanov, Vitaly. "The constitution of physics and the certainty of mathematics in the 16th century scholastic philosophy." ΣΧΟΛΗ. Ancient Philosophy and the Classical Tradition 14, no. 1 (2020): 143–63. http://dx.doi.org/10.25205/1995-4328-2020-14-1-143-163.

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Traditionally, it is believed that one of the most important phenomena in the history of "new" science, i.e. the science of Early Modern times, is the emergence of mathematical natural science. However, in the 16th century the status of physics and mathematics within the framework of scientific knowledge was far from being so unambiguous. In this article, we consider and analyze the arguments of the late Peripatetic author of the late 16th century – the learned Jesuit Benedict Pereira – in favor of his thesis about "non-scientific character" of mathematical disciplines. These arguments focus n

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13

Newton, Isaac, and Alan E. Shapiro. "The Principia: Mathematical Principles of Natural Philosophy." Physics Today 53, no. 3 (2000): 73. http://dx.doi.org/10.1063/1.883005.

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14

Grattan-Guinness, I. "The contributions of J.J. Sylvester, F.R.S., to mechanics and mathematical physics." Notes and Records of the Royal Society of London 55, no. 2 (2001): 253–65. http://dx.doi.org/10.1098/rsnr.2001.0142.

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A survey is made of the papers written by J.J. Sylvester (1814–1897) on mechanics and mathematical physics. Some relate to aspects of his professional career. They form only a small part of the output of this largely pure mathematician, but are of variety and intrinsic merit. Their limited total exemplifies the limited measure of interest that physical applications sustained among some mathematicians during a period when the preference for pure mathematics was increasing worldwide.

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15

Soto, Cristian. "Some morals from the physico-mathematical character of scientific laws." Trans/Form/Ação 43, no. 4 (2020): 65–88. http://dx.doi.org/10.1590/0101-3173.2020.v43n4.04.p65.

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Abstract This article derives some morals from the examination of the physico-mathematical view of scientific laws and its place in the current philosophical debate on laws of nature. After revisiting the expression scientific law, which appears in scientific practice under various names (such as laws, principles, equations, symmetries, and postulates), I briefly assess two extreme, opposite positions in the literature on laws, namely, full-blown metaphysics of laws of nature, which distinguishes such laws from the more mundane laws that we find in science; and nomological eliminativism, which

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16

Connolly, Patrick J. "Locke and the Methodology of Newton’s Principia." Archiv für Geschichte der Philosophie 100, no. 3 (2018): 311–35. http://dx.doi.org/10.1515/agph-2018-3003.

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Abstract A number of commentators have recently suggested that there is a puzzle surrounding Locke’s acceptance of Newton’s Principia. On their view, Locke understood natural history as the primary methodology for natural philosophy and this commitment was at odds with an embrace of mathematical physics. This article considers various attempts to address this puzzle and finds them wanting. It then proposes a more synoptic view of Locke’s attitude towards natural philosophy. Features of Locke’s biography show that he was deeply interested in mathematical physics long before the publication of t

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17

Maglo, Koffi. "Force, Mathematics, and Physics in Newton's Principia: A New Approach to Enduring Issues." Science in Context 20, no. 4 (2007): 571–600. http://dx.doi.org/10.1017/s0269889707001457.

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ArgumentThis paper investigates the conceptual treatment and mathematical modeling of force in Newton's Principia. It argues that, contrary to currently dominant views, Newton's concept of force is best understood as a physico-mathematical construct with theoretical underpinnings rather than a “mathematical construct” or an ontologically “neutral” concept. It uses various philosophical and historical frameworks to clarify interdisciplinary issues in the history of science and draws upon the distinction between axiomatic systems in mathematics and physics, as well as discovery patterns in scien

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18

Ehresmann, Andrée, and Jean-Paul Vanbremeersch. "MES: A Mathematical Model for the Revival of Natural Philosophy." Philosophies 4, no. 1 (2019): 9. http://dx.doi.org/10.3390/philosophies4010009.

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The different kinds of knowledge which were connected in Natural Philosophy (NP) have been later separated. The real separation came when Physics took its individuality and developed specific mathematical models, such as dynamic systems. These models are not adapted to an integral study of living systems, by which we mean evolutionary multi-level, multi-agent, and multi-temporality self-organized systems, such as biological, social, or cognitive systems. For them, the physical models can only be applied to the local dynamic of each co-regulator agent, but not to the global dynamic intertwining

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Greca, Ileana Mar�a, and Marco Antonio Moreira. "Mental, physical, and mathematical models in the teaching and learning of physics." Science Education 86, no. 1 (2001): 106–21. http://dx.doi.org/10.1002/sce.10013.

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20

Ginzburg, Vitalii L. "Tricentenary of Isaac Newton's "Mathematical Principles of Natural Philosophy"." Uspekhi Fizicheskih Nauk 151, no. 1 (1987): 119. http://dx.doi.org/10.3367/ufnr.0151.198701e.0119.

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21

Gelfert, Axel. "Mathematical Rigor in Physics: Putting Exact Results in Their Place." Philosophy of Science 72, no. 5 (2005): 723–38. http://dx.doi.org/10.1086/508110.

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22

Rédei, Miklós. "On the Tension Between Physics and Mathematics." Journal for General Philosophy of Science 51, no. 3 (2020): 411–25. http://dx.doi.org/10.1007/s10838-019-09496-0.

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Abstract Because of the complex interdependence of physics and mathematics their relation is not free of tensions. The paper looks at how the tension has been perceived and articulated by some physicists, mathematicians and mathematical physicists. Some sources of the tension are identified and it is claimed that the tension is both natural and fruitful for both physics and mathematics. An attempt is made to explain why mathematical precision is typically not welcome in physics.

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Markov, Svetoslav Marinov. "Obituary: Blagovest Sendov, 8 February 1932 – 19 January 2020." Biomath Communications 7, no. 1 (2020): 1. http://dx.doi.org/10.11145/bmc.2020.03.027.

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I first met Blagovest Sendov in 1963 as a student in mathematics at the Faculty of Physics and Mathematics at Sofia University. His first lecture was devoted to Mathematical modeling. On some real life situations Prof. Sendov revealed to us the philosophy of science. Prof. Sendov's ``philosophy'' included a deep understanding of the mechanisms of the underlying real processes, the mathematical description of these processes using contemporary mathematical theories and the solution of the formulated mathematical problems using advanced numerical and computational tools. Prof. Sendov possessed a

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24

Kaur (Guy Callan), Nardina. "A. N. WhiteheadIsabelle Stengers (2011)Thinking with Whitehead: A Free and Wild Creation of Concepts, trans. Michael Chase, Cambridge and London: Harvard University PressDidier Debaise (2006)Un Empirisme spéculatif: Lecture deProcès et réalitéde Whitehead, Paris: VrinA. N. Whitehead (2011)An Enquiry Concerning the Principles of Natural Knowledge, Cambridge: Cambridge University Press [paperback re-issue of 1955 reprint of 1925 2nd edn]A. N. Whitehead (2011)The Principle of Relativity with Applications to Physical Science, Cambridge: Cambridge University Press [paperback re-issue of 1922 edn]." Deleuze Studies 8, no. 4 (2014): 542–68. http://dx.doi.org/10.3366/dls.2014.0169.

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Two books on Whitehead, a major study by the noted philosopher of science, Isabelle Stengers, and a shorter one by Didier Debaise are reviewed, along with two earlier mathematical and scientific works by Whitehead himself, which have been re-issued. This provides the basis for a wide-ranging discussion of the relationships between Whitehead's love of poetry and Heidegger's approach to it, Whitehead's background in mathematics and theoretical physics and his attitude to empirical science and more general problems of the philosophy of the event, in particular how radical change can come about.

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25

Kai Shun, Mr Lam. "The Critics and Contributions of Mathematical Philosophy in Hong Kong Secondary Education." Academic Journal of Applied Mathematical Sciences, no. 71 (November 25, 2020): 16–26. http://dx.doi.org/10.32861/ajams.71.16.26.

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There are various schools of mathematical philosophy. However, none of them can be founded on mathematics alone. At the same time, there are two types of mathematical proof styles: Dialectic and algorithm mathematical proof. The relationship between proof and philosophy is to study philosophical problems with mathematical models. This type of proof is important to Hong Kong Secondary education. In addition, teachers should explain the connection between mathematics-based subjects, such as physics, so that lessons are more interesting rather than technical. Mathematics relates to nearly all oth

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26

Rashed, Roshdi. "Al-qūhī Vs. Aristotle: On Motion." Arabic Sciences and Philosophy 9, no. 1 (1999): 7–24. http://dx.doi.org/10.1017/s0957423900002587.

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Al-Qūhī, mathematician of the 10th century, examines critically two arguments in the 6th book of the Aristotelian Physics. This critic does not follow the method of the philosophers, with doctrinal amendments, but with a mathematical and experimental style. For understanding of this critical examination and its influence, it is necessary to situate it in the mathesis of al-Qūhī and to produce its mechanical presuppositions. This is the purpose of the author of this paper.

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27

Feldhay, Rivka, and Michael Heyd. "The Discourse of Pious Science." Science in Context 3, no. 1 (1989): 109–42. http://dx.doi.org/10.1017/s0269889700000740.

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The ArgumentThis paper, an attempt at an institutional history of ideas, compares patterns of reproduction of scientific knowledge in Catholic and Protestant educational institutions. Franciscus Eschinardus' Cursus Physico-Mathematicus and Jean-Robert Chouet's Syntagma Physicum are examined for the strategies which allow for accommodation of new contents and new practices within traditional institutional frameworks. The texts manifest two different styles of inquiry about nature, each adapted to the peculiar constraints implied by its environment. The interpretative drive of Eschinardus and a

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28

EL-BIZRI, NADER. "IN DEFENCE OF THE SOVEREIGNTY OF PHILOSOPHY: AL-BAGHDĀDĪ'S CRITIQUE OF IBN AL-HAYTHAM'S GEOMETRISATION OF PLACE." Arabic Sciences and Philosophy 17, no. 1 (2007): 57–80. http://dx.doi.org/10.1017/s0957423907000367.

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This paper investigates the objections that were raised by the philosopher ‘Abd al-Laṭīf al-Baghdādī (d. ca. 1231 CE) against al-Ḥasan ibn al-Haytham’s (Alhazen; d. after 1041 CE) geometrisation of place. In this line of enquiry, I contrast the philosophical propositions that were advanced by al-Baghdādī in his tract: Fī al-Radd ‘alā Ibn al-Haytham fī al-makān (A refutation of Ibn al-Haytham’s place), with the geometrical demonstrations that Ibn al-Haytham presented in his groundbreaking treatise: Qawl fī al-Makān (Discourse on place). In examining the particulars of al-Baghdādī’s fragile defe

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29

Brush, Stephen G. "Creating modern probability. Its mathematics, physics and philosophy in historical perspective." Journal of Statistical Physics 77, no. 5-6 (1994): 1105–7. http://dx.doi.org/10.1007/bf02183156.

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30

Karpenko, Ivan A. "What is Time in Some Modern Physics Theories: Interpretation Problems." Studia Humana 5, no. 1 (2016): 3–15. http://dx.doi.org/10.1515/sh-2016-0001.

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Abstract The article deals with the problem of time in the context of several theories of modem physics. This fundamental concept inevitably arises in physical theories, but so far there is no adequate description of it in the philosophy of science. In the theory of relativity, quantum field theory. Standard Model of particle physics, theory of loop quantum gravity, superstring theory and other most recent theories the idea of time is shown explicitly or not. Sometimes, such as in the special theory of relativity, it plays a significant role and sometimes it does not. But anyway it exists and

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31

McLeish, Tom. "Before Science and Religion: Learning from Medieval Physics." Modern Believing 62, no. 2 (2021): 124–35. http://dx.doi.org/10.3828/mb.2021.9.

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Scientists today are surprised when confronted by the sophistication of natural philosophy of the thirteenth century. Although clearly of a former age and holding very different perceptions of material structure, its mathematical and imaginative exploration of nature is striking. It also finds a natural theological and contemplative framing; because of this it can work as a resource for contemporary projects constructing ‘theology of science’ and constructing different approaches to the relation of science and religion. Taking the work of the English polymath Robert Grosseteste from the 1220s

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32

Punzo, Lionello F. "The School of Mathematical Formalism and the Viennese Circle of Mathematical Economists." Journal of the History of Economic Thought 13, no. 1 (1991): 1–18. http://dx.doi.org/10.1017/s1053837200003369.

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The term revolution is normally used to indicate a sharp change in the direction of evolution of a given phenomenon, a catastrophe, in the jargon of modern dynamic theory. In this sense we often talk of the Newtonian revolution in physics or of a Neoclassical revolution in economics.

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33

Heverly, W. Gerald. "VIRTUAL REPATRIATION: THE PITTSBURGH–KONSTANZ ARCHIVAL PARTNERSHIP." RBM: A Journal of Rare Books, Manuscripts, and Cultural Heritage 6, no. 1 (2005): 34–43. http://dx.doi.org/10.5860/rbm.6.1.240.

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During the 1920s and 1930s, a group of German and Austrian thinkers pioneered an approach to philosophy that shaped much of the discipline's subsequent development. These thinkers were “inspired by late nineteenth- and early twentieth-century revolutions in logic, mathematics and mathematical physics” and “aimed to create a similarly revolutionary scientific philosophy purged of the endless controversies”1 that had traditionally occupied philosophers. The result was a style of doing philosophy known as logical positivism. Berlin and Vienna were its main centers. The proponents of logical posit

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34

Goddu, André. "The Impact of Ockham's Reading of the Physics On the Mertonians and Parisian Terminists." Early Science and Medicine 6, no. 3 (2001): 204–36. http://dx.doi.org/10.1163/157338201x00136.

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AbstractThis article summarizes Ockham's interpretation of Aristotle's categories, showing how his account of connotative concepts introduced a revision in the Aristotelian doctrine about the relation between mathematics and physics. The article shows that Ockham's account influenced William of Heytesbury, John Dumbleton, and Nicholas Oresme to re-interpret disciplinary relations and disciplinary boundaries. They did so, however, in ways compatible with other basic principles of Aristotelian philosophy of nature; nevertheless, their modifications of the Aristotelian account of mathematics stim

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35

Chu Erdeni, Besud. "Superunified Field Theory." Journal of Engineering and Applied Sciences Technology 2, no. 2 (2020): 1–6. http://dx.doi.org/10.47363/jeast/2020(2)106.

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This is a briefest possible introduction to the absolute geometry of space, time and matter. Absolute geometry or the post-Euclidean geometry does automatically lead to the superunified theory of quantized fields and fundamental interactions. In general, we have eventually constructed the ultimate system of universal mathematical harmony observed by us as the physical Universe. No work in theoretical physics and pure mathematics directly precedes to this theory we propose. Instead, it accomplishes original Pythagorean (arithmetisation) znd Platonic (geometrization) concepts of natural philosop

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36

Roubach, Michael. "Heidegger, Science, and the Mathematical Age." Science in Context 10, no. 1 (1997): 199–206. http://dx.doi.org/10.1017/s0269889700000326.

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The ArgumentThe purpose of this article is to read Heidegger's critique of modern science —especially in What Is a Thing? —as evolving from ontological issues that preoccupied Heidegger in the period after the publication of Being and Time. The main issues at stake are formal ontology and its connection with mathematics and modern mathematical physics, and the distinction between formal and regional ontology. The connection between these issues constitutes Heidegger's understanding of mathematics. An exposition of Heidegger's notion of the “mathematical” can help us uncover his assumptions in

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Roubach, Michael. "Heidegger, Science, and the Mathematical Age." Science in Context 10, no. 1 (1997): 199–206. http://dx.doi.org/10.1017/s0269889700002593.

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The ArgumentThe purpose of this article is to read Heidegger's critique of modern science —especially in What Is a Thing? —as evolving from ontological issues that preoccupied Heidegger in the period after the publication of Being and Time. The main issues at stake are formal ontology and its connection with mathematics and modern mathematical physics, and the distinction between formal and regional ontology. The connection between these issues constitutes Heidegger's understanding of mathematics. An exposition of Heidegger's notion of the “mathematical” can help us uncover his assumptions in

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38

Kearns, Timothy. "Substantial Form in Modern Physics and the Other Sciences—and a New Picture of the Cosmos." Proceedings of the American Catholic Philosophical Association 93 (2019): 311–25. http://dx.doi.org/10.5840/acpaproc2021422112.

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Beginning from the apparent failure of Aristotelian natural philosophy in the last centuries, I propose key questions internal to that tradition, most importantly this: Are the central theses of Aristotelian natural philosophy true and do they continue to contribute to our knowledge of the natural world in light of modern discoveries in the sciences? In this paper, I answer this question affirmatively by drawing on the most general mathematical theory used in the sciences to study natural change. I propose an Aristotelian extension of that theory to include substantial change. With such an ext

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Wilczek, Frank. "QCD and Natural Philosophy." Annales Henri Poincaré 4, S1 (2003): 211–28. http://dx.doi.org/10.1007/s00023-003-0917-y.

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Turner, Raymond. "Computational Abstraction." Entropy 23, no. 2 (2021): 213. http://dx.doi.org/10.3390/e23020213.

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Representation and abstraction are two of the fundamental concepts of computer science. Together they enable “high-level” programming: without abstraction programming would be tied to machine code; without a machine representation, it would be a pure mathematical exercise. Representation begins with an abstract structure and seeks to find a more concrete one. Abstraction does the reverse: it starts with concrete structures and abstracts away. While formal accounts of representation are easy to find, abstraction is a different matter. In this paper, we provide an analysis of data abstraction ba

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41

Kojevnikov, Alexei. "David Bohm and collective movement." Historical Studies in the Physical and Biological Sciences 33, no. 1 (2002): 161–92. http://dx.doi.org/10.1525/hsps.2002.33.1.161.

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Collectivist philosophy inspired David Bohm's research program in physics in the late 1940s and early 1950s, which laid foundations for the modern theory of plasma and for a new stage in the development of the quantum theory of metals. Bohm saw electrons in plasma and in metals as capable of combining collective action with individual freedom, a combination that he pursued in his personal and political life. Mathematical models of such complex states of freedom, developed by Bohm and other socialist-minded physicists (Yakov Frenkel, Lev Landau, Igor Tamm), transformed the physics of condensed

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42

Daniel Omodeo, Pietro. "The Scientific Culture of the Baltic Mathematician, Physician, and Calendar-Maker Laurentius Eichstadt (1596–1660)." Journal for the History of Astronomy 48, no. 2 (2017): 135–59. http://dx.doi.org/10.1177/0021828617703847.

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This paper is devoted to Laurentius Eichstadt, a Baltic astronomer of the generation between Tycho and Hevelius. As a calendar-maker, Eichstadt used and tested the astronomical tables and the planetary theories of his elder contemporaries, Longomontanus and Kepler; as a town physician and gymnasium professor, he taught mathematics and astronomy alongside medicine and natural philosophy in Stettin and Gdańsk. Eichstadt’s indefatigable engagement with theory, practice, and teaching is marked by his continuous reassessment, adjustment, and revision of views in astronomy, physics, and metaphysics,

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Anduaga, Aitor. "The formation of ionospheric physics – confluence of traditions and threads of continuity." History of Geo- and Space Sciences 12, no. 1 (2021): 57–75. http://dx.doi.org/10.5194/hgss-12-57-2021.

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Abstract. This paper examines how ionospheric physics emerged as a research speciality in Britain, Germany, and the United States in the first four decades of the 20th century. It argues that the formation of this discipline can be viewed as the confluence of four deep-rooted traditions in which scientists and engineers transformed, from within, research areas connected to radio wave propagation and geomagnetism. These traditions include Cambridge school's mathematical physics, Göttingen's mathematical physics, laboratory-based experimental physics, and Humboldtian-style terrestrial physics. A

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Debs, Talel A. "Unifying scientific theories: physical concepts and mathematical structures." Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34, no. 1 (2003): 151–53. http://dx.doi.org/10.1016/s1355-2198(02)00041-2.

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45

Ibragimov, Nail H. "Sophus lie and harmony in mathematical physics, on the 150th anniversary of his birth." Mathematical Intelligencer 16, no. 1 (1994): 20–28. http://dx.doi.org/10.1007/bf03026611.

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46

Cat, Jordi. "Masters of Theory: Cambridge and the Rise of Mathematical Physics (review)." Victorian Studies 46, no. 4 (2004): 701–3. http://dx.doi.org/10.1353/vic.2005.0005.

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VUCETICH, HÉCTOR. "EXACT PHILOSOPHY OF SPACETIME." International Journal of Modern Physics D 20, no. 05 (2011): 939–50. http://dx.doi.org/10.1142/s0218271811019190.

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48

ISAAC, JOEL. "DONALD DAVIDSON AND THE ANALYTIC REVOLUTION IN AMERICAN PHILOSOPHY, 1940–1970." Historical Journal 56, no. 3 (2013): 757–79. http://dx.doi.org/10.1017/s0018246x13000095.

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ABSTRACTHistories of analytic philosophy in the United States have typically focused on the reception of logical positivism, and especially on responses to the work of the Vienna Circle. Such accounts often call attention to the purportedly positivist-inspired marginalization of normative concerns in American philosophy: according to this story, the overweening positivist concern for logic and physics as paradigms of knowledge displaced questions of value and social relations. This article argues that the reception framework encourages us to mistake the real sources of the analytic revolution

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Ferrari, Francesco Maria. "Towards a dual ontology: duality, a case study." Sofia 7, no. 1 (2018): 62–79. http://dx.doi.org/10.47456/sofia.v7i1.19403.

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The main aim of this work is to depict the interconnection of the most relvantformal concepts of modal logic and category theory, i.e., bisimulation andduality, arising from the mathematical analysis of physical processes and toshow their relevance with respect to some foundational issues related to the actual ontological debates. Current foundamental physics concerns the non-linear thermodynamics of the quantum eld, whose range is made of far from equilibrium systems and whose basic mechanism of symmetries (patterns) formation supposes the spontaneous breaking of symmetries (SBS). SBS implies

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AVRON, ARNON. "WEYL REEXAMINED: “DAS KONTINUUM” 100 YEARS LATER." Bulletin of Symbolic Logic 26, no. 1 (2020): 26–79. http://dx.doi.org/10.1017/bsl.2020.23.

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AbstractHermann Weyl was one of the greatest mathematicians of the 20th century, with contributions to many branches of mathematics and physics. In 1918, he wrote a famous book, “Das Kontinuum”, on the foundations of mathematics. In that book, he described mathematical analysis as a ‘house built on sand’, and tried to ‘replace this shifting foundation with pillars of enduring strength’. In this paper, we reexamine and explain the philosophical and mathematical ideas that underly Weyl’s system in “Das Kontinuum”, and show that they are still useful and relevant. We propose a precise formalizati

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