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)

The University of Tehran English Proficiency Test (UTEPT) is a high-stakes entrance examination taken by more than 10,000 master’s degree holders annually. The examinees’ scores have a significant influence on the final decisions concerning admission to the University of Tehran Ph.D. programs. As a test validation investigation, the present study, which is a bias detection research in nature, utilized multistep logistic regression (LR) procedure to examine the presence of gender differential item functioning (DIF) in the UTEPT with a sample of (...) 6,555 examinees who took the test in November 2006. Specifically, the LR DIF two-degree of freedom Chi-squared test of significance was employed to test the significance of DIF. Following what has been recently suggested in the literature, the test of significance for DIF was accompanied by a measure of magnitude, namely the R-squared effect size for LR DIF, for the interpretation of which the two widely accepted classification schemes were used comparatively. The results reveal that 39 of the 100 items in the test display significant gender differences. However, these group differences are viewed as “negligible” based on both of the schemes. Accordingly, it could be argued that the UTEPT is a gender DIF-free test, though the Reading Comprehension section of the test remains in need of further analysis as it seems that the general trend of DIF indices at the item level may hint at an inclination towards males. (shrink)

Cosmology as Weltanschauung is as old as the world. Cosmology as a physical discipline, however, is a child of this century, born in 1917, when Albert Einstein and Willem de Sitter first applied the theory of general relativity to the space-time of the entire universe. When did the child come of age and become a fully-fledged science? A popular myth shared by many practitioners holds that this did not happen until 1965, when the discovery of the 2.7K cosmic microwave background (...) radiation validated the concept of the hot big bang. Earlier accomplishments culminating in the 1965 event include the derivation of evolving relativistic models by Alexander Friedmann and George Lemaître, Edwin Hubble’s discovery of the redshift-magnitude relationship and George Gamow’s theory of the primordial nucleosynthesis containing the prediction of the microwave background left from the hot and dense past of the universe. This linear development is thrown into sharper relief in textbooks, by referring to an inarticulate.. (shrink)

This paper argues that Nicholas of Cusa’s investigation of infinity and incommensurability in De docta ignorantia was shaped by the mathematical innovations and thought experiments of fourteenth-century natural philosophy. Cusanus scholarship has overlooked this influence, in part because Raymond Klibansky’s influential edition of De docta ignorantia situated Cusa within the medieval Platonic tradition. However, Cusa departs from this tradition in a number of ways. His willingness to engage incommensurability and to compare different magnitudes of infinity distinguishes him from his Platonic (...) predecessors, who had appropriated the Pythagorean model of universal harmonies. Cusa’s penchant for representing quantity geometrically suggests not only that he has adopted the fourteenth-century method of latitude measurement, but that he accepts incommensurability as normative. Finally, Cusa’s persistent attention to mathematical inaccuracy and to his own learned ignorance suggests his kinship with the meta-critical, conjectural quality of fourteenth-century thought. (shrink)

The present authors have given a mathematical model of Mach's principle and of the Mach–Einstein doctrine about the complete induction of the inertial masses by the gravitation of the universe. The analytical formulation of the Mach–Einstein doctrine is based on Riemann's generalization of the Lagrangian analytical mechanics (with a generalization of the Galilean transformation) on Mach's definition of the inertial mass and on Einstein's principle of equivalence. All local and cosmological effects—which are postulated as consequences of Mach's principle by C. (...) Neumann, Mach, Friedländer and Einstein—result from the Riemannian dynamics with the Mach–Einstein doctrine. In celestial mechanics it follows, in addition, Einstein's formula for the perihelion motion. In cosmology, the Riemannian mechanics yields two models of an evolutionary universe with the expansion lows R ~ t or R ~ t2. In this paper, secular consequences of the Mach–Einstein doctrine are examined concerning palaeogeophysics and celestial mechanics. The research predicted secular decrease of the Earth's flattening and secular acceleration of the motion of the Moon and of the planets. The numerical values of this secular effect agree very well with the empirical facts. In all cases, the secular variation $\dot{\alpha}$ of the parameter α is the order of magnitude $\dot{\alpha}=-H_0 \alpha$ , where H0 is the instantaneous value of the Hubble constant: $H_0 =\left({\dot{R}/R} \right)_0 \approx \left( {0.5-1.0} \right) \times 10^{-10}a^{-1}$ . The relation of the secular consequences of the Mach–Einstein doctrine to those of Dirac's hypothesis on the expanding Earth, and to Darwin's theory of tidal friction are also discussed. (shrink)

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often forcing constructions that add subsets to models are cited as evidence in favour of the latter. This paper informs this debate by analysing ways the Universist might interpret this discourse that seems (...) to necessitate the addition of subsets to V. We argue that despite the prima facie incoherence of such talk for the Universist, she nonetheless has reason to try and provide interpretation of this discourse. We analyse extant interpretations of such talk, and analyse various tradeoffs in naturality that might be made. We conclude that the Universist has promising options for interpreting different forcing constructions. (shrink)

Spreading the universal monarchy myth in the early 16th century was closely linked to the magnitude of the territories controlled by Charles V. For the imperial chancellor Mercurino Gattinara, universal and messianic ideas, which were integrated into the symbolism of the Empire, were to legitimate a policy that aimed at giving a more rational structure to Charles’ territories and at securing a prominent influence for the Habsburg family in the whole of Europe. Gattinara imagined a kind of supranational monarchy, (...) organised in accordance with the mythical model of the Roman Empire, which would be able to guarantee peace under the aegis of Christianity. (shrink)

Hermeneutic rationality arises from the idea that experience is a cumulative process, in which differences are not eliminated but preserved. The universality which derives from this process is an “intensional universality”, which follows a law of direct proportionality between extension and intension: the more an educated individual enriches her experiences, the more she is able to universalize her understanding of others. Experience is then inevitably open and never closed, that is, free for other experiences. If we use the word “domain” (...) to describe the condition of a closed and predetermined system or ontology, the entities of which are pre-assumed, we can therefore call this open universality a “universality without domain”.This description of hermeneutical experience leads to a question about its logical and ontological presuppositions. In the second part of the paper I refer to a particular practice which is central for hermeneutical theory in order to show how I understand these presuppositions: the practice of translation. In translation we experience the impossibility of rendering completely the sense of the source language in a target language, that is, we experience a difference which cannot be suppressed. I compare this experience to the discovery of the incommensurable magnitudes in ancient Greek mathematics, a discovery that shook Parmenidean and Pythagorean ontology: in my opinion, philosophical hermeneutics more or less implicitly develops the consequences of this incredible discovery, which marks the passage to a differential, comparative and integrative rationality and ontology. (shrink)

This column is about the beginning of a new era of what is being called precision cosmology. It used to be a joke in the physics community that astrophysicists put the error bars in the exponent. In other words, they used numbers so poorly determined that they were unknown by several orders of magnitude. Well, as I predicted in a column eight years ago.

For more than forty years, The Universe Next Door has set the standard for an introduction to worldviews. This sixth edition uses James Sire's widely influential model of eight basic worldview questions to examine prominent worldviews that have shaped the Western world, critiquing each worldview within its own frame of reference and in comparison to others.

A theoretical physicist and feminist theorist, Karen Barad elaborates her theory of agential realism, a schema that is at once a new epistemology, ontology, and ethics.

In 2005, an essay was published in Nature asserting that the universe is mental and that we must abandon our tendency to conceptualize observations as things. Since then, experiments have confirmed that — as predicted by quantum mechanics — reality is contextual, which contradicts at least intuitive formulations of realism and corroborates the hypothesis of a mental universe. Yet, to give this hypothesis a coherent rendering, one must explain how a mental universe can — at least in principle — accommodate (...) (a) our experience of ourselves as distinct individual minds sharing a world beyond the control of our volition; and (b) the empirical fact that this world is contextual despite being seemingly shared. By combining a modern formulation of the ontology of idealism with the relational interpretation of quantum mechanics, the present paper attempts to provide a viable explanatory framework for both points. In the process of doing so, the paper also addresses key philosophical qualms of the relational interpretation. (shrink)

Many philosophers and scientists believe that we need an explanation as to why the laws of physics and the initial conditions of the universe are fine-tuned for life. The standard two options are: theism and the multiverse hypothesis. Both of these theories are extravagant and arguably have false predictions. Drawing on contemporary philosophy of mind, I outline a form of panpsychism that I believe offers a more parsimonious and less problematic explanation of cosmological fine-tuning.

In this note, we cast doubt on the requirement of spacetime inextendibility; it is not at all clear that our universe is “as large as it can be.”.

This chapter contains sections titled: Introduction: Setting Up the Argument The Evidence for Fine‐Tuning Epistemic Probability Determining k′ and the Comparison Range Justifying Premises (1) and (2) The Multiverse Hypothesis Miscellaneous Objections Conclusion: Putting the Argument in Perspective References.

Traditional discussions about the arrow of time in general involve the concept of entropy. In the cosmological context, the direction past-to-future is usually related to the direction of the gradient of the entropy function of the universe. But the definition of the entropy of the universe is a very controversial matter. Moreover, thermodynamics is a phenomenological theory. Geometrical properties of space-time provide a more fundamental and less controversial way of defining an arrow of time for the universe as a whole. (...) We will call the arrow defined only on the basis of the geometrical properties of space-time, independently of any entropic considerations, “the global arrow of time.” In this paper we will argue that: (i) if certain conditions are satisfied, it is possible to define a global arrow of time for the universe as a whole, and (ii) the standard models of contemporary cosmology satisfy these conditions. (shrink)

Inanimate explanation is to be analysed in terms of substances having powers and liabilities to exercise their powers under certain conditions; while personal explanation is to be analysed in terms of persons, their beliefs, powers, and purposes. A crucial criterion for an explanation being probably true is that it is (among explanations leading us to expect the data) the simplest one. Simplicity is a matter of few substances, few kinds of substances, few properties (including powers and liabilities), few kinds of (...) properties, and mathematically simple relations between properties. Explanation of the existence of the universe by the agency of God provides the simplest kind of personal explanation there can be, and one simpler than any inanimate explanation. I defend this view more thoroughly than previously in light of recent challenges. (shrink)

When the ancient Greeks looked up into the heavens, they saw not just sun and moon, stars and planets, but a complete, coherent universe, a model of the Good that could serve as a guide to a better life. How this view of the world came to be, and how we lost it (or turned away from it) on the way to becoming modern, make for a fascinating story, told in a highly accessible manner by Remi Brague in this wide-ranging (...) cultural history. Before the Greeks, people thought human action was required to maintain the order of the universe and so conducted rituals and sacrifices to renew and restore it. But beginning with the Hellenic Age, the universe came to be seen as existing quite apart from human action and possessing, therefore, a kind of wisdom that humanity did not. Wearing his remarkable erudition lightly, Brague traces the many ways this universal wisdom has been interpreted over the centuries, from the time of ancient Egypt to the modern era. Socratic and Muslim philosophers, Christian theologians and Jewish Kabbalists all believed that questions about the workings of the world and the meaning of life were closely intertwined and that an understanding of cosmology was crucial to making sense of human ethics. Exploring the fate of this concept in the modern day, Brague shows how modernity stripped the universe of its sacred and philosophical wisdom, transforming it into an ethically indifferent entity that no longer serves as a model for human morality. Encyclopedic and yet intimate, The Wisdom of the World offers the best sort of history: broad, learned, and completely compelling. Brague opens a window onto systems of thought radically different from our own. (shrink)

In the framework of contemporary cosmology, the age-old aspiration to inquire the outer limits of the universe translates into our effort to observe the initial stages of cosmic history. Thanks to a fortunate combination of astronomical circumstances, and pushing mm-wave technology to its limits, today we are able to image the early universe in great detail, back at a time when cosmic age was only 0.0027% of its present value. The state of the art in the field has been set (...) by the ESA Planck mission, launched in 2009, dedicated to precision measurements of the cosmic microwave background. Planck observed the full sky for 4 years in a wide frequency range, reaching μK sensitivity both in temperature and polarization. The latest results, published by the Planck Collaboration in 2018, are in exquisite agreement with the simplest 6-parameter ΛCDM model and constrain the main cosmological parameters with percent-level accuracy. Furthermore, the Planck data yield insight on the very early universe, opening the way to a new generation of experiments searching for the possible signatures of primordial gravitational waves in the CMB polarization pattern. (shrink)

The Philosopher at the End of the Universe demonstrates how anyone can grasp the basic concepts of philosophy while still holding a bucket of popcorn. Mark Rowlands makes philosophy utterly relevant to our everyday lives and reveals its most potent messages using nothing more than a little humor and the plotlines of some of the most spectacular, expensive, high-octane films on the planet. Learn about: The Nature of Reality from The Matrix, Good and Evil from Star Wars, Morality from Aliens, (...) Personal Identity from Total Recall, The Mind-Body dilemma from Terminator, Free Will from Minority Report, Death and the Meaning of Life from Blade Runner, and much more. A search for knowledge about ourselves and the world around us with a star-studded cast that includes: Tom Cruise, Plato, Harrison Ford, Immanuel Kant, Arnold Schwarzenegger, Friedrich Nietzsche, Sigourney Weaver, René Descartes, and Keanu Reeves. Rowlands anchors his discussions in easily understood everyday terms and relates them in a manner easy to identify with. Interspersed with a ready joke or two, he wonderfully explains why those SciFi movies we love so much are much deeper than they appear to be on the surface. Mark Rowlands's entertaining and stimulating guide is perfect for anyone searching for knowledge of the world around us. If Keanu can understand Descartes surely everyone can. (shrink)

In this article, I survey some philosophical attitudes to talk concerning `the' universe of sets. I separate out four different strands of the debate, namely: (i) Universism, (ii) Multiversism, (iii) Potentialism, and (iv) Pluralism. I discuss standard arguments and counterarguments concerning the positions and some of the natural mathematical programmes that are suggested by the various views.

Studies in astrophysical cosmology have served to reveal the incomprehensible fine-tuning of the fundamental constants and cosmological quantities which must obtain if a universe like ours is to be life-permitting. Traditionally, such fine-tuning of the universe for life would have been taken as evidence of divine design. William Dembski’s ’generic chance elimination argument’ provides a framework for evaluating the hypothesis of design with respect to the fine-tuning of the universe. On Dembski’s model the key to a design inference is the (...) elimination of the competing alternatives of physical necessity and chance. In debates over fine-tuning, the former is represented by a ’theory of everything’, which would eliminate or significantly reduce the improbabilities of fine-tuning. The latter takes the shape of the ’many worlds hypothesis’, according to which a ’world ensemble’ of universes exist, thus providing purchase for the ’anthropic principle’. This paper assesses the relative merit. (shrink)

The article focuses on the text of Genesis 1:27–28 within its broader context where the author, the Jahwist, describes humankind as charged with the responsibility to fill and to subdue the earth, which has generally been misunderstood by wealth prospectors. Our methodology is a simplified historical and exegetical study of the two verses of the creation narrative in order to join other contemporary theologians to argue the right of humans to treat the nonhuman as private property as source of material (...) wealth is immoral. As we re-read the text, our findings resonate with the contemporary clarion call for respect and protection of the environment such as COP 2015 in Paris. This provides the justification of our title ‘Preaching the green gospel’, especially in the Nigerian oil-rich states and in Africa in general. Whilst the paper presents a disquisition of the global efforts of the church through sensitisation of their members to appreciate the magnitude of the environmental pollution and the apocalypse it holds for the world, it draws attention to the possibility of the envisaged doomsday that may descend on Nigeria and other parts of Africa if the crass environmental degradation and the rate of pollution of flora and fauna are not checked. The paper takes cognisance of the positive views expressed by the evangelists of the ‘New Theology’ in Africa. Whilst the paper raises Biblically friendly ecological awareness in modern Africa, using Nigeria as a contact point, it concludes, inter alia, that the text demands humankind to partake in God’s will for order and peace in the universe as it struggles to maintain the ecological sustainability of mother earth. (shrink)

At Home in the Universe presents and extends the intellectual core ofKauffman's earlier book The Origins of Order (OUP 1993) for any intelligentgeneral reader can understand and appreciate. The reader is very effectivelyinvited into Kauffman's vision and thought processes, in one of the moreexhilarating and important books of popular science.

In this study, we will analyze the three major theories concerning the relationship between God and the universe: origination (ḥudūth), emanation (ṣudūr), manifestation (ẓuhūr or tajallī). The theory of origination was developed in the history of Kalam. The majority of the theologians (Mutakallimūn) aimed to offer a concept of God and His relation to the universe based on the origination theory. On the other hand, the Muslim philosophers, mostly Ibn Sīnā, suggested the theory of emanation to provide a causal explanation (...) of the universe as well as God’s relation to it. The theory of manifestation emerged in the philosophical Sufism. Ibn ‘Arabī posited the concept of manifestation as an explanation of God’s connection with the universe. Based on their cosmological views, each field also aimed to offer their proof of God’s existence. The theologians argued that the universe was temporally originated (muḥdath) and therefore necessitates an originator (muḥdith) upon their premise that everything originated needs an originator. On the other hand, the philosophers attempted to address the premise of "from one comes only one" explaining how the multiplicity comes from the Absolute One (God). Considering God as the ultimate source of existence, they proposed a hierarchical order in the universe and explained it through their theory of emanation. The Sufi thinkers explained the relationship with the theory of manifestation, which is also known as the appearance of the Absolute Being or the revealing of the Absolute Being. In this study, we will primarily focus on these three theories and examine their differences and similarities as well as their significance in the formation of the cosmic existence in the Islamic thought. (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)

In 2005, an essay was published in Nature asserting that the universe is mental and that we must abandon our tendency to conceptualize observations as things. Since then, experiments have confi rmed that — as predicted by quantum mechanics — reality is contextual, which contradicts at least intuitive formulations of realism and corroborates the hypothesis of a mental universe. Yet, to give this hypothesis a coherent rendering, one must explain how a mental universe can — at least in principle — (...) accommodate our experience of ourselves as distinct individual minds sharing a world beyond the control of our volition; and the empirical fact that this world is contextual despite being seemingly shared. By combining a modern formulation of the ontology of idealism with the relational interpretation of quantum mechanics, the present paper attempts to provide a viable explanatory framework for both points. In the process of doing so, the paper also addresses key philosophical qualms of the relational interpretation. (shrink)

The Stoics appeal to human nature in their theory of virtue and ‘preferred indifferents’, showing in a developmental account how grasping virtue is the culmination of a natural progression. They also appeal to the nature of the cosmos to support ethics as a whole, but this does not, as issometimes claimed, provide premises from which specific ethical conclusions are inferred.

The cosmological constant is back. Several lines of evidence point to the conclusion that either there is a positive cosmological constant or else the universe is filled with a strange form of matter (“quintessence”) that mimics some of the effects of a positive lambda. This paper investigates the implications of the former possibility. Two senses in which the cosmological constant can be a constant are distinguished: the capital Λ sense in which lambda is a universal constant on a par with (...) the charge of the electron, and the lower case λ sense in which lambda is a humble constant of integration. The latter interpretation has been touted as the means to a solution to various problems in physics. These claims are critically examined with an eye to discerning the implications for philosophy of science and foundations of physics. (shrink)

Originally published in 1940, this book by famous Plotinus scholar Arthur Hilary Armstrong assesses how the philosopher's hierarchy of reality fits into the wider universal order, and how the historical and philosophical tradition gave rise to Plotinus' own philosophies. Armstrong also supplies a bibliography broken down by topic for those who wish to pursue any aspect of the text in greater depth. This book will be of value to anyone with an interest in Plotinus, Neoplatonism and in the pagan roots (...) of Christian philosophy. (shrink)

In this paper I argue for a priori conjectural scientific knowledge about the world. Physics persistently only accepts unified theories, even though endlessly many empirically more successful disunified rivals are always available. This persistent preference for unified theories, against empirical considerations, means that physics makes a substantial, persistent metaphysical assumption, to the effect that the universe has a (more or less) unified dynamic structure. In order to clarify what this assumption amounts to, I solve the problem of what it means (...) to say of a theory that it is unified. There are, I argue, eight different kinds of unity important in theoretical physics, all varieties of one basic idea. This provides us with a precise way of partially ordering physical theories with respect to their degree of unity. It also leads to a hierarchical view of physics, according to which physics makes a number of increasingly insubstantial metaphysical assumptions concerning the comprehensibility and knowability of the universe. Two of these are identified as constituting a priori conjectures. I conclude by arguing that the view developed in the paper resolves the traditional clash between empiricism and rationalism in the philosophy of science, and has important implications for science, and for academic inquiry more generally. (shrink)

Modern physics has revealed the universe as a much stranger place than we could have imagined. The puzzle at the centre of our knowledge of the universe is time. Michael Lockwood takes the reader on a fascinating journey into the nature of things. He investigates philosophical questions about past, present, and future, our experience of time, and the possibility of time travel. We zoom in on the behaviour of molecules and atoms, and pull back to survey the expansion of the (...) universe. We learn about entropy and gravity, black holes and wormholes, about how it all began and where we are all headed. Things will never seem the same again after a voyage through The Labyrinth of Time. (shrink)