Given four modest verificationist theses, tying the meaning of talk about instants and periods to the events which (physically) could occur during, before or after them, the only content to the claim the Universe had a beginning (applicable equally to chaotic or orderly universes) is in terms of it being preceded by empty time. It follows that time cannot have a beginning. The Universe, however, could have a beginning--even if it has lasted for an infinite (...) time. (shrink)

Many philosophers have argued that the past must be finite in duration because otherwise reaching the present moment would have involved something impossible, namely, the sequential occurrence of an actual infinity of events. In reply, some philosophers have objected that there can be nothing amiss in such an occurrence, since actually infinite sequences are ‘traversed’ all the time in nature, for example, whenever an object moves from one location in space to another. This essay focuses on one of the two (...) available replies to this objection, namely, the claim that actual infinities are not traversed in nature because space, time, and other continuous wholes divide into parts only in so far as we divide them in thought, and thus divide into only a finite number of parts. I grant that this reply succeeds in blunting the anti-finitist objection, but I argue that it also subverts the very argument against an eternal past that it was intended to save. (shrink)

There is sufficient evidence at present to justify the belief that the universe began to exist without being caused to do so. This evidence includes the Hawking-Penrose singularity theorems that are based on Einstein's General Theory of Relativity, and the recently introduced Quantum Cosmological Models of the early universe. The singularity theorems lead to an explication of the beginning of the universe that involves the notion of a Big Bang singularity, and the Quantum Cosmological Models represent (...) the beginning largely in terms of the notion of a vacuum fluctuation. Theories that represent the universe as infinitely old or as caused to begin are shown to be at odds with or at least unsupported by these and other current cosmological notions. (shrink)

Some philosophers contend that the past must be finite in duration, because otherwise reaching the present would have involved the sequential occurrence of an actual infinity of events, which they regard as impossible. I recently developed a new objection to this finitist argument, to which Andrew Ter Ern Loke and Travis Dumsday have replied. Here I respond to the three main points raised in their replies.

The kalam cosmological argument-perhaps the most discussed philosophical argument for God's existence in recent decades-maintains that whatever begins to exist must have a cause. And since the universe began to exist, there must be a transcendent cause of its beginning, a conclusion which is confirmatory of theism. So this medieval argument for the finitude of the past has received fresh wind in its sails from recent scientific discoveries. This collection reviews and assesses the merits of the latest scientific (...) evidences for the universe's beginning. It ends with the kalam argument's conclusion that the universe has a cause-a personal cause with properties of theological significance. (shrink)

The aim of this paper is to take a close look at some little discussed aspects of the kalam cosmological argument, with a view to deciding whether there is any reason to believe the causal principle on which it rests (“Whatever begins to exist must have a cause”), and also with a view to determining what conclusions can be drawn about the nature of the First Cause of the universe (supposing thatthere is one). I am particularly concerned with the (...) problems that arise when it is assumed (as it often is) that that the First Cause is timeless and that it timelessly creates time. I argue that this forces the defender of the kalam argument to analyze the concept of “beginning to exist” in a way that raises series doubts about its main causal principle, and that it also undercuts the main argument for saying that the cause of the universe must be a person. (shrink)

The aim of this paper is to take a close look at some little discussed aspects of the kalam cosmological argument, with a view to deciding whether there is any reason to believe the causal principle on which it rests (“Whatever begins to exist must have a cause”), and also with a view to determining what conclusions can be drawn about the nature of the First Cause of the universe (supposing thatthere is one). I am particularly concerned with the (...) problems that arise when it is assumed (as it often is) that that the First Cause is timeless and that it timelessly creates time. I argue that this forces the defender of the kalam argument to analyze the concept of “beginning to exist” in a way that raises series doubts about its main causal principle, and that it also undercuts the main argument for saying that the cause of the universe must be a person. (shrink)

ABSTRACTStephen Puryear argues that William Lane Craig's view, that time as duration is logically prior to the potentially infinite divisions that we make of it, involves the idea that time is prior to any parts we conceive within it. He objects that PWT entails the Priority of the Whole with respect to Events, and that it subverts the argument, used by proponents of the Kalam Cosmological Argument such as Craig, against an eternal past based on the impossibility of traversing an (...) actual infinite sequence of events. I argue that proponents of KCA can affirm that time is not discrete, nor is it continuous with actual infinite number of parts or points, but rather that it is a continuum with various parts yet without an actual infinite number of parts or points. I defend this view, and I reply to Puryear's other objections. (shrink)

In this note a recently developed quantum oscillating finite space cosmological model is described. The principle novelty of the model is that there is a quantum blurring of the classical singularity between cycles, instead of a singularity free bounce. Recently, Quentin Smith (1988) has argued that present theoretical and observational evidence justifies the belief that the past history of the universe is finite. The relevance of this cosmological model to Smith's arguments is discussed.

Many physicists have thought that absolute time became otiose with the introduction of Special Relativity. William Lane Craig disagrees. Craig argues that although relativity is empirically adequate within a domain of application, relativity is literally false and should be supplanted by a Neo-Lorentzian alternative that allows for absolute time. Meanwhile, Craig and co-author James Sinclair have argued that physical cosmology supports the conclusion that physical reality began to exist at a finite time in the past. However, on their view, the (...) beginning of physical reality requires the objective passage of absolute time, so that the beginning of physical reality stands or falls with Craig's Neo-Lorentzian metaphysics. Here, I raise doubts about whether, given Craig's NeoLorentzian metaphysics, physical cosmology could adequately support a beginning of physical reality within the finite past. Craig and Sinclair's conception of the beginning of the universe requires a past boundary to the universe. A past boundary to the universe cannot be directly observed and so must be inferred from the observed matter-energy distribution in conjunction with auxilary hypotheses drawn from a substantive physical theory. Craig's brand of Neo Lorentzianism has not been sufficiently well specified so as to infer either that there is a past boundary or that the boundary is located in the finite past. Consequently, Neo Lorentzianism implicitly introduces a form of skepticism that removes the ability that we might have otherwise had to infer a beginning of the universe. Furthermore, in analyzing traditional big bang models, I develop criteria that Neo-Lorentzians should deploy in thinking about the direction and duration of time in cosmological models generally. For my last task, I apply the same criteria to bounce cosmologies and show that Craig and Sinclair have been wrong to interpret bounce cosmologies as including a beginning of physical reality. (shrink)

This paper advances the discussion on an issue which is hotly debated in discussions on the kalam cosmological argument today, by developing a philosophical argument which is stronger and more rigorous than other arguments which have been proposed thus far.

ABSTRACT W.L. Craig has argued that the universe has a beginning because (1) the infinitude of the past entails the existence of actual infinite multitudes of past intervals of time, and (2) the existence of actual infinite multitudes is impossible. Puryear has rejected (1) and argued that what the infinitude of the past entails is only the existence of an actual infinite magnitude of past time. But this does not preclude the infinitude of the past, Puryear claims, because (...) there can be no justification for the claim that actual infinite magnitudes are impossible. I argue, against Puryear, that there can be such a justification. I claim, nevertheless, that, for reasons entirely different from Puryear’s, the finitude of the past cannot be established based either on the impossibility of actual infinite multitudes or on the impossibility of actual infinite magnitudes. My arguments in this paper draw on insights from al-Kindī and Avicenna. (shrink)

W.L. Craig has argued that the universe has a beginning because (1) the infinitude of the past entails the existence of actual infinite multitudes of past intervals of time, and (2) the existence of actual infinite multitudes is impossible. Puryear has rejected (1) and argued that what the infinitude of the past entails is only the existence of an actual infinite magnitude of past time. But this does not preclude the infinitude of the past, Puryear claims, because there (...) can be no justification for the claim that actual infinite magnitudes are impossible. I argue, against Puryear, that there can be such a justification. I claim, nevertheless, that, for reasons entirely different from Puryear’s, the finitude of the past cannot be established based either on the impossibility of actual infinite multitudes or on the impossibility of actual infinite magnitudes. My arguments in this paper draw on insights from al-Kindī and Avicenna. (shrink)

Craig's second philosophical argument for a beginning of the universe presupposes a dynamic theory of time, a limitation which makes the argument unacceptable for those who do not hold this theory. I argue that the argument can be modified thus: If time is beginning -less, then it would be the case that a person existing and counting as long as time exists would count an actual infinite by counting one element after another successively, but the consequent is (...) metaphysically impossible, hence the antecedent is metaphysically impossible. I defend the premises and show that this argument does not presuppose the dynamic theory. (shrink)

This paper considers two problems -- one in philosophy of religion and another in philosophy of physics -- and shows that the two problems have one solution. Some Christian philosophers have endorsed the views that (i) there was a first finitely long period of time, (ii) God is in time, and yet (iii) God did not have a beginning. If there was a first finitely long period of time and God is in time then there was a first finitely (...) long period of time in God's life. But if God's life includes a first finitely long period of time, then, on one initially intuitive conception of beginning to exist, God began to exist. Thus, at first glance, (i)-(iii) are not mutually compatible. Meanwhile, on a variety of proposals for quantum gravity theories or interpretations of quantum theory, space-time is not fundamental to physical reality and instead can (somehow) be explained in terms of yet more fundamental physical substructures. As I show, there is a strong intuition that if space-time is not fundamental to physical reality, then, even if there were a first finitely long period in the life of physical reality, physical reality would be beginningless. Thus, both theistic philosophers and philosophers of physics have developed theories on which some beginningless entities have a first finitely long temporal period in their lives and so both groups should be interested in developing criteria that distinguish such entities from entities with a beginning. In this paper, I offer one necessary (but not sufficient) condition, namely, that entities that begin to exist are absent from the closest possible worlds without time. The view that I defend has one significant upshot: no sound argument can use the mere fact (if it is a fact) that past time is finite to reach the conclusion that the totality of physical reality had a beginning. (shrink)

This is a commissioned review of Copan, P. and Craig, W. The Kalām Cosmological Argument Volume Two: Scientific Evidence for the Beginning of the Universe New York: Bloomsbury, US$172.50, ISBN 978-1-50-133587-7.

Zygon®, Volume 56, Issue 4, Page 1058-1069, December 2021.

In George Nakhnikian’s interesting and stimulating paper, “Quantum Cosmology, Theistic Philosophical Cosmology, and the Existence Question” (present issue) he addresses the fundamental issue of whether it is metaphysically possible or justifiable to believe that our universe began to exist without a cause, divine or otherwise. His conclusion is negative, and he argues that, contrary to my views, quantum cosmology is consistent with theism. In this paper, I shall evaluate Nakhnikian’s arguments.

The quality of doctoral-level biochemistry (N=139), botany (N=83), cellular/molecular biology (N=89), microbiology (N=134), physiology (N=101), and zoology (N=70) programs at United States universities was assessed, using 16 measures. These measures focused on variables related to: (1) program size; (2) characteristics of graduates; (3) reputational factors (scholarly quality of faculty, effectiveness of programs in educating research scholars/scientists, improvement in program quality during the last 5 years); (4) university library size; (5) research support; and (6) publication records. Chapter I discusses prior attempts (...) to assess quality in graduate education, development of the study plans, and the selection of disciplines and programs to be evaluated. Chapter II discusses the methodology used, focusing on each of the assessment measures. Chapters III to VIII present, respectively, findings from the analyses of the biochemistry, botany, cellular/molecular biology, microbiology, physiology, and zoology programs. Chapter IX includes a summary of results, correlations among measures, several additional analyses, and suggestions for future studies. Among the findings reported are those indicating that cellular/molecular biology programs had, on the average, the largest number of faculty and that students in cellular/molecular biology, biology, biochemistry, microbiology, and physiology received a relatively high fraction of financial support. (Survey instruments and supporting documentation are included in appendices.) (JN). (shrink)

The quality of doctoral-level chemistry (N=145), computer science (N=58), geoscience (N=91), mathematics (N=115), physics (N=123), and statistics/biostatistics (N=64) programs at United States universities was assessed, using 16 measures. These measures focused on variables related to: program size; characteristics of graduates; reputational factors (scholarly quality of faculty, effectiveness of programs in educating research scholars/scientists, improvement in program quality during the last 5 years); university library size; research support; and publication records. Chapter I discusses prior attempts to assess quality in graduate education, (...) development of the study plans, and the selection of disciplines and programs to be evaluated. Chapter II discusses the methodology used, focusing on each of the assessment measures. Chapters III to VIII present, respectively, findings from the analyses of the chemistry, computer science, geoscience, mathematics, physics, and statistics/biostatistics programs. Chapter IX includes a summary of results, correlations among measures, several additional analyses, and suggestions for future studies. Among the findings reported are those indicating that mathematics programs had, on the average, the largest number of faculty (N=33) in December 1980 followed closely by physics (N=28) and chemistry (N=23), and that 80 percent of computer science students had job commitments by graduation. (Survey instruments and supporting documentation are included in appendices.) (JN). (shrink)

Since its publication at the beginning of the eighteenth century, the Earl of Clarendon's history of the English Civil War has remained one of the most important sources for our understanding of the events which changed the course of British history. Clarendon held the offices of Lord High Chancellor of England and Chancellor of the University of Oxford; he began his great work after the Restoration of Charles II at the behest of the King himself.This classic work, long unavailable, (...) has now been reissued by the Oxford University Press in a facsimile of the much-admired 1888 edition. The History of the Rebellion and Civil Wars in England chronicles in absorbing detail the intrigues and upheavals, the alliances and confrontations, the triumphs and the tragedies, of the 1640s and 1650s. In elegant and vital prose it brings to life the personalities who shaped the era, and the principles for which a nation was divided. (shrink)

Since its publication at the beginning of the eighteenth century, the Earl of Clarendon's history of the English Civil War has remained one of the most important sources for our understanding of the events which changed the course of British history. Clarendon held the offices of Lord High Chancellor of England and Chancellor of the University of Oxford; he began his great work after the Restoration of Charles II at the behest of the King himself.This classic work, long unavailable, (...) has now been reissued by the Oxford University Press in a facsimile of the much-admired 1888 edition. The History of the Rebellion and Civil Wars in England chronicles in absorbing detail the intrigues and upheavals, the alliances and confrontations, the triumphs and the tragedies, of the 1640s and 1650s. In elegant and vital prose it brings to life the personalities who shaped the era, and the principles for which a nation was divided. (shrink)

The sublime evokes our awe, our terror, and our wonder. Applied first in ancient Greece to the heights of literary expression, in the 18th-century the sublime was extended to nature and to the sciences, enterprises that viewed the natural world as a manifestation of God's goodness, power, and wisdom. In The Scientific Sublime, Alan Gross reveals the modern-day sublime in popular science. He shows how the great popular scientists of our time--Richard Feynman, Stephen Hawking, Steven Weinberg, Brian Greene, Lisa Randall, (...) Rachel Carson, Stephen Jay Gould, Steven Pinker, Richard Dawkins, and E. O. Wilson--evoke the sublime in response to fundamental questions: How did the universe begin? How did life? How did language? These authors maintain a tradition initiated by Joseph Addison, Edmund Burke, Immanuel Kant, and Adam Smith, towering 18th-century figures who adapted the literary sublime first to nature, then to science--though with one crucial difference: religion has been replaced wholly by science. In a final chapter, Gross explores science's attack on religion, an assault that attempts to sweep permanently under the rug two questions science cannot answer: What is the meaning of life? What is the meaning of the good life? (shrink)

The cosmological relevance of emptiness—that is, space without bodies—is not yet sufficiently appreciated in natural philosophy. This paper addresses two aspects of cosmic emptiness from the perspective of natural philosophy: the distances to the stars in the closer cosmic environment and the expansion of space as a result of the accelerated expansion of the universe. Both aspects will be discussed from both a historical and a systematic perspective. Emptiness can be interpreted as “coming” in a two-fold sense: whereas in (...) the past, knowledge of emptiness, as it were, came to human beings, in the future, it is coming, insofar as its relevance in the cosmos will increase. The longer and more closely emptiness was studied since the beginning of modernity, the larger became the spaces over which it was found to extend. From a systematic perspective, I will show with regard to the closer cosmic environment that the Earth may be separated from the perhaps habitable planets of other stars by an emptiness that is inimical to life and cannot be traversed by humans. This assumption is a result of the discussion of the constraints and possibilities of interstellar space travel as defined by the known natural laws and technical means. With the accelerated expansion of the universe, the distances to other galaxies (outside of the so-called Local Group) are increasing. According to the current standard model of cosmology and assuming that the acceleration will remain constant, in the distant future, this expansion will lead first to a substantial change in the epistemic conditions of cosmological knowledge and finally to the completion of the cosmic emptiness and of its relevance, respectively. Imagining the postulated completely empty last state leads human thought to the very limits of what is conceivable. (shrink)

For almost the whole of the first half of the nineteenth century, philosophy at Moscow University was subjected to fierce persecution at the hands of the authorities. Their aim was, evidently, to smother in the cradle any manifestation of freethinking among students, the thinking part of Russian society. It was no coincidence that philosophy was chosen as the target of persecution, because the study of this science could lead by the shortest path to reflections concerning man's place in the world, (...) the role of the social sciences, the just or unjust nature of the existing state order in Russia, and so on. What would a student who got carried away by, for instance, Socrates's ideal of inner freedom or Spinoza's pantheistic system become? For a classical police state, which imperial Russia was, that was intolerable. One need merely recall that Chaadaev, Herzen, and many other rebels had at some time studied at the university. Russia's rulers clearly had no need of such people. (shrink)

Officially inaugurated in 1925, the Hebrew University of Jerusalem was designed to serve the academic needs of the Jewish people and the Zionist enterprise in British Mandatory Palestine, as well as to help fulfill the economic and social requirements of the Middle East. It is intriguing that a university with such practical goals should have as one of its central pillars an institute for pure mathematics that purposely dismissed any of the varied fields of applied mathematics. This paper tells of (...) the preparations for the inauguration of the Hebrew University during the years 1920–1925 and analyzes the founding phase of the Einstein Institute of Mathematics that was established there during the years 1924–1928. Special emphasis is given to the first terms in which this Institute operated, starting from the winter of 1927 with the activities of the director and one of the founders, the German mathematician Edmund Landau, and onward from 1928 when his successors, particularly Adolf Abraham Halevi Fraenkel and Mihály-Michael Fekete, continued Landau's heritage of pure mathematics. The paper shows why and how the Institute succeeded in rejecting applied mathematics from its court and also explores the controversial issue of center and periphery in the development of science, a topic that is briefly analyzed in the concluding section. (shrink)

The universal homogeneous triangle-free graph, constructed by Henson [A family of countable homogeneous graphs, Pacific J. Math.38(1) (1971) 69–83] and denoted H3, is the triangle-free analogue of the Rado graph. While the Ramsey theory of the Rado graph has been completely established, beginning with Erdős–Hajnal–Posá [Strong embeddings of graphs into coloured graphs, in Infinite and Finite Sets. Vol.I, eds. A. Hajnal, R. Rado and V. Sós, Colloquia Mathematica Societatis János Bolyai, Vol. 10 (North-Holland, 1973), pp. 585–595] and culminating in (...) work of Sauer [Coloring subgraphs of the Rado graph, Combinatorica26(2) (2006) 231–253] and Laflamme–Sauer–Vuksanovic [Canonical partitions of universal structures, Combinatorica26(2) (2006) 183–205], the Ramsey theory of H3 had only progressed to bounds for vertex colorings [P. Komjáth and V. Rödl, Coloring of universal graphs, Graphs Combin.2(1) (1986) 55–60] and edge colorings [N. Sauer, Edge partitions of the countable triangle free homogenous graph, Discrete Math.185(1–3) (1998) 137–181]. This was due to a lack of broadscale techniques. We solve this problem in general: For each finite triangle-free graph G, there is a finite number T(G) such that for any coloring of all copies of G in H3 into finitely many colors, there is a subgraph of H3 which is again universal homogeneous triangle-free in which the coloring takes no more than T(G) colors. This is the first such result for a homogeneous structure omitting copies of some nontrivial finite structure. The proof entails developments of new broadscale techniques, including a flexible method for constructing trees which code H3 and the development of their Ramsey theory. (shrink)

The self-fashioning of French Newtonianism Content Type Journal Article DOI 10.1007/s11016-010-9511-3 Authors Charles T. Wolfe, Unit for History and Philosophy of Science, University of Sydney, Sydney, NSW 2006, Australia David Gilad, Unit for History and Philosophy of Science, University of Sydney, Sydney, NSW 2006, Australia Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.

In this anthology, most of the important cosmological hypotheses within the Western tradition, from the Enuma Elish creation-myth of Babylon to the continuous “creation” hypothesis of Bondi and Gold, are gathered together. Most of them are presented in their originator’s own words. The work falls into three parts. The first deals rather summarily with the Greek period. Despite the research of the past few decades into mediaeval science, the mediaeval period is represented only by a rather dated and onesided article (...) by Dreyer. The second part covers the Copernicus-Kant period in some detail; it includes authors as diverse as Cusa and Bruno, Huygens and Herschel. The third begins with Einstein, works through the “expanding universe” theories of Lemaître and Gamow and ends with Hoyle’s “infinite” universe. The editor has added brief introductory notes and a bibliography. (shrink)