Perhaps the most influential historian of science of the last century, Alexandre Koyré, famously argued that the icon of modern science, Galileo Galilei, was a Platonist who had hardly performed experiments. Koyré has been followed by other historians and philosophers of science. In addition, it is not difficult to find examples of Platonists in contemporary science, in particular in the physical sciences. A famous example is the icon of twenty century physics, Albert Einstein. This paper addresses two questions (...) related to the Platonism of modern physical science. The first is: How is Galileo’s Platonism compatible with the fact that he did perform experiments? The solution to this apparent paradox can be found in Plato’s late dialogue Timaeus. In the dialogue the world has been created by a divine craftsman according to an original plan. The task of the scientist is not primarily to describe the material world, but to reconstruct the original plan. This view has later been known as “God’s Eye View”. The second question is: If a God’s Eye View is unattainable, how is it possible to give a “rational reconstruction” of Galileo’s Platonism? The key-word is idealisation. It is further argued that idealisation is intimately related to technology. Technology is required to realize ideal experimental conditions, and the results are in its turn implemented in technology. The implication is that the quest for unity in science, based on physics as the basic science, should be replaced by the recognition of the diversity of the sciences. (shrink)

The article is an analysis of influence of science on development of modern philosophy. In first phase, Ending with kant's pre-Critical work, Occurred elaboration of philosophical implications of new conception of nature developed by science upon basis of renaissance return to neoplatonism. In its second phase, From critical kant to this century, Philosophy, Separated from science, Has remained fundamentally neoplatonic. A third phase now beginning, In which philosophy is being compelled by radical scientific developments to return to inquiry into (...) the nature of the physical. This necessitates return to essentially aristotelian basis, With far-Reaching consequences for future course of philosophy. (shrink)

Platonism is the view that there exist such things as abstract objects — where an abstract object is an object that does not exist in space or time and which is therefore entirely non-physical and nonmental. Platonism in this sense is a contemporary view. It is obviously related to the views of Plato in important ways, but it is not entirely clear that Plato endorsed this view, as it is defined here. In order to remain neutral on this question, the (...) term ‘platonism’ is spelled with a lower-case ‘p’. (See entry on Plato.) The most important figure in the development of modern platonism is Gottlob Frege (1884, 1892, 1893-1903, 1919). The view has also been endorsed by many others, including Kurt Gödel (1964), Bertrand Russell (1912), and W.V.O. Quine (1948, 1951). (shrink)

Rationalism, Platonism and God comprises three main papers on Descartes, Spinoza and Leibniz, with extensive responses. It provides a significant contribution to the exploration of the common ground of the great early-modern Rationalist theories, and an examination of the ways in which the mainstream Platonic tradition permeates these theories. -/- John Cottingham identifies characteristically Platonic themes in Descartes's cosmology and metaphysics, finding them associated with two distinct, even opposed attitudes to nature and the human condition, one ancient and 'contemplative', (...) the other modern and 'controlling'. He finds the same tension in Descartes's moral theory, and believes that it remains unresolved in present-day ethics. -/- Was Spinoza a Neoplatonist theist, critical Cartesian, or naturalistic materialist? Michael Ayers argues that he was all of these. Analysis of his system reveals how Spinoza employed Neoplatonist monism against Descartes's Platonist pluralism. Yet the terminology - like the physics - is Cartesian. And within this Platonic-Cartesian shell Spinoza developed a rigorously naturalistic metaphysics and even, Ayers claims, an effectually empiricist epistemology. -/- Robert Merrihew Adams focuses on the Rationalists' arguments for the Platonist, anti-Empiricist principle of 'the priority of the perfect', i.e. the principle that finite attributes are to be understood through corresponding perfections of God, rather than the reverse. He finds the given arguments unsatisfactory but stimulating, and offers a development of one of Leibniz's for consideration. -/- These papers receive informed and constructive criticism and development at the hands of, respectively, Douglas Hedley, Sarah Hutton and Maria Rosa Antognazza. (shrink)

I discuss the role of beauty in physics. Physicists are sometimes described as platonists for their conviction that the fundamental laws are elegant and aesthetic arguments represent an important epistemic tool. After a review of the ideas of Plato and some of the leading figures of modern physics, which suggest that this is indeed the case, I present a list of current aesthetic criteria. I focus on symmetry and unity and demonstrate their increasing relevance in an array (...) of experimentally verified theories. I also deal with an open issue of naturalness as the third criterion. The laws of nature appear increasingly beautiful as we uncover them, and it is important to see if the trend continues in the future. (shrink)

The scientific developments of the sixteenth and seventeenth centuries have traditionally been associated with the revival of Platonism. The natural philosophers who invented the methods of classical physics have usually been depicted as men who repudiated the principles of Aristotle and embraced conceptions provided by the writings of Plato and his school. The characteristic feature derived from Platonism was the emphasis on mathematics and it is with the application of mathematics to experience, under specially devised conditions, that modern (...) science arose. In this sense, it is the Piatonism of Copernicus, Kepler and Galileo, which forms the distinctive quality of the scientific revolution that culminates in the work of Newton. (shrink)

The question I wish to address on this occasion is whether the Platonic course of study retains any validity in the modern world. I shall argue that some version of it indeed might, though by no means for everybody. A course of education, after all, which begins with the rules for rational thought and argumentation, then turns to the question of the true nature of the self, followed by a consideration of the nature of ethics, politics, physics and (...) metaphysics, should serve very well for developing well-rounded and rational persons. I believe that the true legacy of the Platonist model of education, on which modern civilisation is progressively turning its back, is that the properly structured study of quite abstract subjects is the best training for the mind, even when the mind is turned to the solution of entirely practical problems. (shrink)

The main goal of this paper is to argue against Karl Rogers's attacks on realism in physics. Rogers argues that electrons do not exist independently of the relevant socio-technological process, but I show that such an assumption would make our best scientific theories incomprehensible. While the paper supports Rogers's attempts to refute positivism, it demonstrates that his own position is positivistic, and it corrects his overemphasis on the roles of technology and the experimenter. Rogers assumes that the founders of (...) modern science were simply mechanists, but I show how they were actually Platonic realists. Contrary to Rogers, realist faith in the fundamental unifying power of the laws of physics is shown to be reasonable, and any denial of this belief would imply that science is impossible. (shrink)

This work treats comprehensively seventeenth century Cambridge Platonism, but gives pride of place to the movement’s practical philosophy. The editors organize the collection of essays, composed in English and French, in such a way that the moral-theological and political theories put forward by thinkers in the Cambridge group are fully emphasized. The approach to these thinkers from the moral and political perspective allows us to see important connections between modern Platonic physics, metaphysics, and theories of knowledge that otherwise (...) would remain obscure. In particular, that approach enables us to recognize the great extent to which both the natural and moral philosophies of the Cambridge Platonists were determined by a common concern to respond to voluntarism in its various forms. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Explorations in Ancient and Modern Philosophy by Myles F. BurnyeatAllison Piñeros Glasscock and Elizabeth C. Shaw and Staff*BURNYEAT, Myles F. Explorations in Ancient and Modern Philosophy, vol. 4. Cambridge: Cambridge University Press, 2022. xii + 395 pp. Cloth, $120.00The eleven essays in this collection were originally published while Burnyeat was at All Souls College, Oxford (1996–2006) and during his subsequent retirement. Like volume 3 of the (...) same series, the collection was published posthumously, with editorial work undertaken by Carol Atack, Malcolm Schofield, and David Sedley. Part I contains seven essays on topics in ontology and epistemology; part II contains four essays on physics and optics. The figures examined include the usual suspects—Plato and Aristotle (plus an appearance by Aquinas)—but Burnyeat also draws our attention to some less appreciated accomplices to the ancient philosophical project: the Platonist commentator Numenius of Apamea, the Pythagorean Archytas of Tarentum, and Anaxarchus of Abdera, a follower of Democritus. The result is a collection that showcases one of Burnyeat's greatest strengths: his ability to identify the clues left for us in ancient texts and to produce from them compelling and exquisitely detailed accounts of what ancient philosophers were thinking and why.One of the final papers of the volume illustrates Burnyeat's detective acumen. "Archytas and optics" starts from the following question: Why is optics absent from the mathematical curriculum Plato sketches in the Republic? Burnyeat hypothesizes that if mathematical optics existed when the Republic was written, Plato likely excised it from the curriculum on the grounds that the discipline would lead the student to focus on visible things and their appearances. The bulk of the paper is devoted to establishing the antecedent of this conditional. Burnyeat argues that mathematical optics did exist at the time of the Republic's writing, and he posits the noncanonical Pythagorean Archytas as its founder. To recognize the significance of this lacuna in the Republic's curriculum and to provide a persuasive identification of the founder of an entire discipline is already to make a substantial contribution to scholarship. But how Burnyeat arrives at his central conclusion is equally impressive. He takes the reader on a tour of Aristotle, Plato, and Iamblichus, fragment 4 of Archytas, and the Apologia of Apuleius (whom readers might better recognize as the novelist responsible for The Golden [End Page 345] Ass). The result is not only an answer to the paper's central question, but a deeper understanding of the broader intellectual network in which canonical figures like Plato and Aristotle operated.No fragment is too small to catch Burnyeat's notice, nor is any line in a manuscript too faint. Part I of the collection includes Burnyeat's famous paper "Kinēsis vs. energeia: a much-read passage in (but not of) Aristotle's Metaphysics." The central argument is that Metaphysics 9.6.1048b18–35 is out of place. It was written by Aristotle for a different context and should not be printed in book 9. Because this article is so well known, I will not dwell on the details of the argument, but once again Burnyeat's methodology is worthy of comment. The first part of the paper offers a careful examination of the Metaphysics's manuscript tradition that attends both to what is present and to what is absent. For example, we learn that the focus passage is missing from an entire branch of the tradition, which Burnyeat suggests is the result of a learned excision. Later, Burnyeat develops a psychological sketch of the scribe of manuscript Ab beginning from the observation that a faint line is drawn through part of the focus passage. He argues that the scribe's motivation is not disapproval of the passage's contents but a desire to keep his text and commentary in sync. Observations like these provide the foundation for Burnyeat's thesis about the philosophical import of the focus passage, and they demonstrate that the physical record can be just as vital to reconstructions of ancient philosophy as the words that the record preserves.Occasionally, Burnyeat offers more direct admonitions to his readers about how to approach ancient philosophy. A key lesson... (shrink)

Themed Section of Bruniana & Campanelliana 2022/1, pp. 85-198 -/- - Simone Guidi, Introduction; - Andrew W. Arlig, Part-Whole Interdependence and the Presence of Form in Matter According to Some Fifteenth-Century Platonists; - Jean-Pascal Anfray, Aux limites de la métaphysique: parties, indivisibles et contact chez Suárez; - Simone Guidi, Indivisibles, Parts, and Wholes in Rubio’s Treatise on the Composition of Continuum (1605); - Dana Jalobeanu, Dissecting Nature ad vivum: Parts and Wholes in Francis Bacon’s Natural Philosophy; - Carla Rita Palmerino, (...) From Active Matter to Inertia, from Celerity to Slowness: the Motion of Atoms and of Compound Bodies in Gassendi’s Physics. (shrink)

Prime matter plays an indispensable role in Aristotle’s philosophy, enabling him to avoid the pitfalls of both naïve Platonism and nominalism. Prime matter is best thought of as a kind of infinitely divisible and atomless bare particularity, grounding the distinctness of distinct members of the same species. Such bare particularity is needed in symmetrical situations, like a world consisting of indistinguishable Max Black spheres. Bare particularity is especially important in modern physics, given the homogeneity and isotropy of space. (...) With the importance of fields in classical, relativistic, and quantum physics, we have good reason to prefer something like Aristotle’s continuous, infinitely divisible matter over indivisible particles. Mass and energy in relativistic physics also points in the direction of prime matter as the enduring substrate of these quantities. Recent work on Aristotelian interpretations of quantum mechanics, further underscores the contemporary relevance of prime matter. (shrink)

(1997). Modern Physics, Kandinsky, and Klee. The European Legacy: Vol. 2, Fourth International Conference of the International Society for the Study of European Ideas, pp. 68-73.

Premise: our representational system has had a relatively invariant core throughout human history (cf. Sellars's manifest image). Major theses: (i) When philosophical argument establishes the existence of an entity, that entity is a representing, not a represented. (ii) Most of the documents in the history of philosophy are on a par (as dialogical resources) with current philosophical literature for establishing or controverting such existence claims. (iii) The use of mathematics (initially the mathematized neo-Platonism of classical mechanics) allowed modern physical (...) science to break with the perennial system of representation; in consequence, a portion of the representings of modern physical scientists do not belong to the historically invariant core. This limits the dialogical resources of physical science and the applicability of arguments from perennial philosophy to science. It also explains the relative irrelevance of pre-17th century science to contemporary physical scientists in contrast to the relevance of pre-17th century philosophy to contemporary philosophers. It also supports thesis (iv), that logic (broadly conceived) in central to all serious philosophical enterprises, since logic is the central tool for exhibiting and criticizing the rationale(s) of our representational system(s). Support for these theses will be found in the paper. (shrink)

In this classic, David Bohm was the first to offer us his causal interpretation of the quantum theory. _Causality and Chance in Modern Physics_ continues to make possible further insight into the meaning of the quantum theory and to suggest ways of extending the theory into new directions.

Modern philosophy of mathematics has been dominated by Platonism and nominalism, to the neglect of the Aristotelian realist option. Aristotelianism holds that mathematics studies certain real properties of the world – mathematics is neither about a disembodied world of “abstract objects”, as Platonism holds, nor it is merely a language of science, as nominalism holds. Aristotle’s theory that mathematics is the “science of quantity” is a good account of at least elementary mathematics: the ratio of two heights, for example, (...) is a perceivable and measurable real relation between properties of physical things, a relation that can be shared by the ratio of two weights or two time intervals. Ratios are an example of continuous quantity; discrete quantities, such as whole numbers, are also realised as relations between a heap and a unit-making universal. For example, the relation between foliage and being-a-leaf is the number of leaves on a tree,a relation that may equal the relation between a heap of shoes and being-a-shoe. Modern higher mathematics, however, deals with some real properties that are not naturally seen as quantity, so that the “science of quantity” theory of mathematics needs supplementation. Symmetry, topology and similar structural properties are studied by mathematics, but are about pattern, structure or arrangement rather than quantity. (shrink)

Anne Conway produced only one short treatise – The Principles of the Most Ancient and Modern Philosophy – but addressed key problems in the philosophy of religion which are still much discussed today. The most significant of these are the problem of religious diversity and the problem of evil. Although the sources of her ideas may be found in the Kabbalah of Isaac Luria and the work of the Cambridge Platonists and the Quaker George Keith, among others, she offers (...) her own unorthodox solutions to these problems. The idea of Christ as an indwelling mediator of the divine who assists us in our moral endeavours is designed to appeal to those of all religions and none, while her claim that God created creatures knowing that they would eventually be redeemed, and that suffering promotes moral development which leads to redemption offers a novel response to the problem of evil. Conway's work is also important for its influence on the work of Gottfried Wilhelm Leibniz, and some have argued that it prefigures, at least in outline, the field theory of modern physics. (shrink)

The previous article “Scientific Cosmological Ontology” discussed that the “theoretical contradictions” between quantum mechanics and relativity may become a joke in the history of human existence. It is believed that human philosophical thinking, from Socrates, Plato, to Aristotle, was a turning point. For more than 2000 years, we have been developing in the direction of material philosophy and material science according to Aristotle, and we have reached the peak of human thinking. Modern physics is a great achievement at (...) this peak. According to the principles of dialectical materialism, this “theoretical contradiction” has opened the door to the original thinking of the universe. We have to go back 2500 years to pick up the great banner of cosmic origin that humanity has abandoned, and human thinking. This article continues to analyze the “theoretical contradictions” between quantum mechanics and relativity, and to design the philosophical framework of modern physics according to the thought of cosmic origin. (shrink)

In selecting the papers for this volume I have excluded all physics papers proper. I have further omitted all book rev.iews. Instead, I have included two papers not published previously; they are marked by an asterisk (*) in the table of contents. Since many of the papers were occasioned by Symposia or similar gatherings their chronological order is rather accidental. Hence I have tried to group the papers thematically into four parts. Within each part the order of sequence is (...) from the more general to the more special, or from a more popular to a more technical treatment. The same principle has been applied to the sequential order of the parts. The foundational papers on quantum mechanics have been arranged in a somewhat dif ferent manner. Chapters XVI-XIX are concerned with the logic of complementarity while in Chapters XX-XXII a more radical recon ceptualization is carried out. Two of the older papers (Chapters VI and VIII) have been revised to bring them more into line with present terminology. Other papers have been corrected by additions and omissions. Additions are marked by square brackets [ ], while double square brackets [[ II signify omis sions or parts to be omitted. Hence [[A]] [B] means that 'A' should be replaced by 'B'. The heading of one paper (Chapter XX) has been changed to make it more descriptive. (shrink)

In this paper, I examine some of the most important theories of modern physics that support the notion that events are the basic ontological units of reality. The two main themes of this paper include: (1) physical evidence in support of an ontology of events, and (2) the increasing unification of physical theory until we arrive at the current state of two highly successful theories that are presently disunified within the search for a comprehensive, unified theory. With the (...) revolutionary developments in physics at the end of the nineteenth century, the mechanistic materialism of Newtonian physics began to break down and the ancient trinity of space, time and matter has been gradually replaced by the notion of the energy field. Physicists and philosophers who have held an event ontology specifically for its compatibility with electromagnetism, relativity theory and quantum mechanics include: Albert Einstein, Alfred North Whitehead, Bertrand Russell, C. D. Broad, W. V. Quine, John Bell, Henry Stapp, and Milič Čapek among many others. For these theorists, events are the most fundamental entities of physical reality in contrast to the Aristotelian tradition which contends that events are secondary or dependent on physical substance. (shrink)

Einstein, philosophical belief and physical theory -- Introduction to quantum theory -- Quantum theory, the Bohr-Einstein debate -- Physics and society.

First published in 1956 The Language of Modern Physics gives a complete account of the concepts both of classical and quantum physics. It deals with themes like logic and semantics; basic ideas of physics and the methods scientists use for confirming their hypotheses.

The University of Cologne and the international community of researchers in foundations of physics mourn the loss of Peter Mittelstaedt, who passed away on November 21, 2014, after a short period of illness. Peter Mittelstaedt held a chair in theoretical physics at the University of Cologne from 1965 until his retirement in 1995. In addition to his engagement as a scientist and academic teacher he was elected first as Dean of the Faculty of Science and then Rector of (...) the University of Cologne . Subsequently he served as Prorector and Prorector for Research . He was an elected member of l’Académie Internationale de Philosophie des Sciences and founding member and president of the International Quantum Structures Association .Peter Mittelstaedt was born in Leipzig on November 24, 1929. In his childhood home he may already have witnessed the spirit of philosophical discourse about the world-picture of modern physics. For Werner Heis .. (shrink)

Ted Schick grapples with the New Age thinker Fritjof Capra. Is Capra right to suggest that the Eastern Mystics have been vindicated by the discoveries of modern science?

(1988). Historical explanations in modern physics? The lesson of quantum mechanics. International Studies in the Philosophy of Science: Vol. 3, No. 1, pp. 68-79.

Bewildering features of modern physics, such as relativistic space-time structure and the peculiarities of so-called quantum statistics, challenge traditional ways of conceiving of objects in space and time. Interpreting Bodies brings together essays by leading philosophers and scientists to provide a unique overview of the implications of such physical theories for questions about the nature of objects. The collection combines classic articles by Max Born, Werner Heisenberg, Hans Reichenbach, and Erwin Schrodinger with recent contributions, including several papers that (...) have never before been published. -/- The book focuses on the microphysical objects that are at the heart of quantum physics and addresses issues central to both the "foundational" and the philosophical debates about objects. Contributors explore three subjects in particular: how to identify a physical object as an individual, the notion of invariance with respect to determining what objects are or could be, and how to relate objective and measurable properties to a physical entity. The papers cover traditional philosophical topics, common-sense questions, and technical matters in a consistently clear and rigorous fashion, illuminating some of the most perplexing problems in modern physics and the philosophy of science. (shrink)

First published in 1956 The Language of Modern Physics gives a complete account of the concepts both of classical and quantum physics. It deals with themes like logic and semantics; basic ideas of physics and the methods scientists use for confirming their hypotheses.

In this paper, I examine some of the most important theories of modern physics that support the notion that events are the basic ontological units of reality. The two main themes of this paper include: (1) physical evidence in support of an ontology of events, and (2) the increasing unification of physical theory until we arrive at the current state of two highly successful theories that are presently disunified within the search for a comprehensive, unified theory. With the (...) revolutionary developments in physics at the end of the nineteenth century, the mechanistic materialism of Newtonian physics began to break down and the ancient trinity of space, time and matter has been gradually replaced by the notion of the energy field. Physicists and philosophers who have held an event ontology specifically for its compatibility with electromagnetism, relativity theory and quantum mechanics include: Albert Einstein, Alfred North Whitehead, Bertrand Russell, C. D. Broad, W. V. Quine, John Bell, Henry Stapp, and Milič Čapek among many others. For these theorists, events are the most fundamental entities of physical reality in contrast to the Aristotelian tradition which contends that events are secondary or dependent on physical substance. (shrink)

Time travel has been a staple of science fiction. With the advent of general relativity it has been entertained by serious physicists. But, especially in the philosophy literature, there have been arguments that time travel is inherently paradoxical. The most famous paradox is the grandfather paradox: you travel back in time and kill your grandfather, thereby preventing your own existence. To avoid inconsistency some circumstance will have to occur which makes you fail in this attempt to kill your grandfather. Doesn't (...) this require some implausible constraint on otherwise unrelated circumstances? We examine such worries in the context of modern physics. (shrink)

The final work of the esteemed philosopher William Demopoulos supplants logical empiricism's accounts of physical theories, which fail to satisfactorily engage modern physics. Arguing for a new appreciation of the tightly woven character of theory and evidence, Demopoulos offers novel insights into the distinctive nature of quantum reality.

CHAPTER I INTRODUCTION (A) Historical Problem Suggested by the Nature of Modern Thought How curious, after all, is the way in which we moderns think about ...

The book investigates distinctions between independent individuality and interactive relationality in physical phenomena. This is a common topic for investigation in modern physics and philosophy of science, and the topic is explored using contemporary research in those disciplines. Additionally, it is common for Buddhism to focus on relationships, and it proposes that independent individual things do not exist. In the context of physical reality, I take this Buddhist view as a hypothesis and examine it critically. We evaluate its (...) arguments and find them generally to be problematic when evaluated against modern standards for logic and physics. However, its fundamental principle—emptiness, or shunyata—is still worthy of being tested. -/- Contrary to many books on Buddhism and science, this one takes a very positive view of science. Yet, this depends on how we define ‘science’. Hence, the book begins with an examination of that topic, informed by philosophy of science and the author’s experience and training as physicist and philosopher. While we discuss, explain and justify many standard views of science, and present the standard elements of science, physics and physics theories, the book argues extensively for one perspective: pluralism in a synthesis of the author’s design. -/- I will show shunyata to be quite consistent with the knowledge framework of Physics Pluralism. When we test Buddhist emptiness against the results of physics—interpreting both within that knowledge framework—we discover the relevance, importance, and some truth in the relationality ideas of shunyata. -/- Robert Alan Paul has studied physics, had a career as a physicist, and both studied and practiced Tibetan Buddhism. He holds a bachelor’s degree in physics, and separate master’s degrees in philosophy; philosophy of science & mathematics; and physics (abd). He holds an interdisciplinary Ph.D. in four disciplines: philosophy of science, Western analytic metaphysics, Buddhist philosophy, and physics. His Ph.D. dissertation was the foundation of this book. (shrink)

Leonard Peikoff and David Harriman have denounced modern physics as incompatible with Objectivist metaphysics and epistemology. Physics, they say, must return to a Newtonian viewpoint; much of relativity theory must go, along with essentially all of quantum mechanics, string theory, and modern cosmology. In their insistence on justifications in terms of “physical nature,” they cling to a macroscopic worldview that doesn't work in the high-velocity arena of relativity or the subatomic level of quantum mechanics. It is (...) suggested that the concept of identity be widened to accommodate the probabilistic nature of quantum phenomena. (shrink)

Despite the efforts of many individuals, the disciplines of modern physics and number theory have remained largely divorced, in the sense that the experimentally verified theories of quantum physics and gravity are written in the language of linear algebra and advanced calculus, without reference to several established branches of pure mathematics. This absence raises questions as to whether or not pure mathematics has undiscovered application to physical modeling that could have far reaching implications for human scientific understanding. (...) In this paper, we review physical interpretations of number theoretic concepts developed in the twentieth century, in an attempt to help bridge the divide between pure mathematical truth and testable physical theory. Specifically, the relevance of L-functions and modular forms to the physics of quantum and classical physical systems is addressed, with the objective of motivating general interest among physicists in these mathematical concepts. (shrink)

This paper delves into McTaggart’s metaphysical account of reality without time, and compares and contrasts McTaggart’s account with the account of reality given by modern physics. This comparison is of interest, because there are suggestions from contemporary physics that there is no time at the fundamental level. Physicists and philosophers of physics recognize that we do not have a good understanding of how the world could be such that time is unreal. I argue that, from the (...) perspective of one who is trying to understand modern physics, McTaggart’s metaphysical views do provide some insight into how reality can be timeless at the fundamental level, but the insight that they provide is limited. (shrink)