Results for 'Beginningless past, Endless Future, Actual infinite, Potential infinite.'

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  1. Beginningless Past, Endless Future, and the Actual Infinite.Wes Morriston - 2010 - Faith and Philosophy 27 (4):439-450.
    One of the principal lines of argument deployed by the friends of the kalām cosmological argument against the possibility of a beginningless series of events is a quite general argument against the possibility of an actual infinite. The principal thesis of the present paper is that if this argument worked as advertised, parallel considerations would force us to conclude, not merely that a series of discrete, successive events must have a first member, but also that such a series (...)
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  2.  52
    Beginningless Past, Endless Future, and the Actual Infinite.William Lane Craig - 2010 - Faith and Philosophy 27 (4):439-450.
    One of the principal lines of argument deployed by the friends of the kalām cosmological argument against the possibility of a beginningless series of events is a quite general argument against the possibility of an actual infinite. The principal thesis of the present paper is that if this argument worked as advertised, parallel considerations would force us to conclude, not merely that a series of discrete, successive events must have a first member, but also that such a series (...)
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  3. Beginningless Past and Endless Future.Wes Morriston - 2012 - Faith and Philosophy 29 (4):444-450.
    In a recent paper, I claimed that if a familiar line of argument against the possibility of a beginningless series of events worked as advertised, it would work just as well against the possibility of an endless series of pre-determined events. The present paper is my response to objections by William Lane Craig. It argues that neither Craig’s claim that an endless series of events is a merely potential infinite nor his claim that future events don’t (...)
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  4. Taking Tense Seriously in Differentiating Past and Future.William Lane Craig - 2010 - Faith and Philosophy 27 (4):451-456.
    Wes Morriston argues that even if we take an endless series of events to be merely potentially, rather than actually, infinite, still no distinction between a beginningless and an endless series of events has been established which is relevant to arguments against the metaphysical possibility of an actually infinite number of things: if a beginningless series is impossible, so is an endless series. The success of Morriston’s argument, however, comes to depend on rejecting the characterization (...)
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  5. Endless Future: A Persistent Thorn in the Kalām Cosmological Argument.Yishai Cohen - 2015 - Philosophical Papers 44 (2):165-187.
    Wes Morriston contends that William Lane Craig's argument for the impossibility of a beginningless past results in an equally good argument for the impossibility of an endless future. Craig disagrees. I show that Craig's reply reveals a commitment to an unmotivated position concerning the relationship between actuality and the actual infinite. I then assess alternative routes to the impossibility of a beginningless past that have been offered in the literature, and show that, contrary to initial appearances, (...)
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  6. Endless and Infinite.Alex Malpass & Wes Morriston - 2020 - Philosophical Quarterly 70 (281):830-849.
    It is often said that time must have a beginning because otherwise the series of past events would have the paradoxical features of an actual infinite. In the present paper, we show that, even given a dynamic theory of time, the cardinality of an endless series of events, each of which will occur, is the same as that of a beginningless series of events, each of which has occurred. Both are denumerably infinite. So if an endless (...)
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  7.  63
    On beginningless past, endless future, God, and singing angels: An assessment of the Morriston-Craig dialogue.Andrew Ter Ern Loke - 2016 - Neue Zeitschrift für Systematicsche Theologie Und Religionsphilosophie 58 (1):57-66.
    Name der Zeitschrift: Neue Zeitschrift für Systematische Theologie und Religionsphilosophie Jahrgang: 58 Heft: 1 Seiten: 57-66.
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  8.  57
    On the Varieties of Finitism.Mohammad Saleh Zarepour - 2021 - Faith and Philosophy 38 (3):302-312.
    Defenders of the Kalām Cosmological Argument appeal to the so-called Hilbert’s Hotel Argument to establish the finitude of the past based on the impossibility of actual infinites. Some of their opponents argue that this proves too much because if the universe cannot be beginningless due to the impossibility of actual infinites, then, for the same reason, it cannot be endless either. Discussing four different senses of the existence of an actual infinite, I criticize both sides (...)
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  9. Political Poetry: A Few Notes. Poetics for N30.Jeroen Mettes - 2012 - Continent 2 (1):29-35.
    continent. 2.1 (2012): 29–35. Translated by Vincent W.J. van Gerven Oei from Jeroen Mettes. "Politieke Poëzie: Enige aantekeningen, Poëtica bij N30 (versie 2006)." In Weerstandbeleid: Nieuwe kritiek . Amsterdam: De wereldbibliotheek, 2011. Published with permission of Uitgeverij Wereldbibliotheek, Amsterdam. L’égalité veut d’autres lois . —Eugène Pottier The modern poem does not have form but consistency (that is sensed), no content but a problem (that is developed). Consistency + problem = composition. The problem of modern poetry is capitalism. Capitalism—which has no (...)
     
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  10. The Kalām Cosmological Argument: A Reassessment.Jacobus Erasmus - 2018 - Cham: Springer.
    This book offers a discussion of the kalām cosmological argument, and presents a defence of a version of that argument after critically evaluating three of the most important versions of the argument. It argues that, since the versions of the kalām cosmological argument defended by Philoponus (c. 490–c. 570), al-Ghazālī (1058– 1111), and the contemporary philosopher, William Lane Craig, all deny the possibility of the existence of an actual infinite, these arguments are incompatible with Platonism and the view that (...)
  11. A Philosophical Argument for the Beginning of Time.Laureano Luna & Jacobus Erasmus - 2020 - Prolegomena 19 (2):161-176.
    A common argument in support of a beginning of the universe used by advocates of the kalām cosmological argument (KCA) is the argument against the possibility of an actual infinite, or the “Infinity Argument”. However, it turns out that the Infinity Argument loses some of its force when compared with the achievements of set theory and it brings into question the view that God predetermined an endless future. We therefore defend a new formal argument, based on the nature (...)
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  12. The Kalam Cosmological Argument and the Possibility of an Actually Infinite Future.Eric Sotnak - 1999 - Philo 2 (2):41-52.
    Part of the kalam cosmological argument draws upon the claim that an actual infinite cannot exist. Classical theists also maintain both that some individuals will earn eternal life and that God infallibly foreknows the future. The claim that these latter two theses do not require that an actual infinite exists because God possesses an intuitive, rather than propositional intellect, is examined and rejected. Although the future is potential, rather than actual, classical theism requires that the future (...)
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  13. Mad Speculation and Absolute Inhumanism: Lovecraft, Ligotti, and the Weirding of Philosophy.Ben Woodard - 2011 - Continent 1 (1):3-13.
    continent. 1.1 : 3-13. / 0/ – Introduction I want to propose, as a trajectory into the philosophically weird, an absurd theoretical claim and pursue it, or perhaps more accurately, construct it as I point to it, collecting the ground work behind me like the Perpetual Train from China Mieville's Iron Council which puts down track as it moves reclaiming it along the way. The strange trajectory is the following: Kant's critical philosophy and much of continental philosophy which has followed, (...)
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  14. The Problem of Endless Joy: Is Infinite Utility Too Much for Utilitarianism?M. T. Nelson & J. L. A. Garcia - 1994 - Utilitas 6 (2):183-192.
    What if human joy went on endlessly? Suppose, for example, that each human generation were followed by another, or that the Western religions are right when they teach that each human being lives eternally after death. If any such possibility is true in the actual world, then an agent might sometimes be so situated that more than one course of action would produce an infinite amount of utility. Deciding whether to have a child born this year rather than next (...)
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  15. The End is Near: Grim Reapers and Endless Futures.Joseph C. Schmid - 2024 - Mind 133 (532).
    José Benardete developed a famous paradox involving a beginningless set of items each member of which satisfies some predicate just in case no earlier member satisfies it. The Grim Reaper version of this paradox has recently been employed in favour of various finitist metaphysical theses, ranging from temporal finitism to causal finitism to the discrete nature of time. Here, I examine a new challenge to these finitist arguments—namely, the challenge of implying that the future cannot be endless. In (...)
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  16. Craig on the actual infinite.Wes Morriston - 2002 - Religious Studies 38 (2):147-166.
    In a series of much discussed articles and books, William Lane Craig defends the view that the past could not consist in a beginningless series of events. In the present paper, I cast a critical eye on just one part of Craig's case for the finitude of the past – viz. his philosophical argument against the possibility of actually infinite sets of objects in the ‘real world’. I shall try to show that this argument is unsuccessful. I shall also (...)
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  17. Meillassoux’s Virtual Future.Graham Harman - 2011 - Continent 1 (2):78-91.
    continent. 1.2 (2011): 78-91. This article consists of three parts. First, I will review the major themes of Quentin Meillassoux’s After Finitude . Since some of my readers will have read this book and others not, I will try to strike a balance between clear summary and fresh critique. Second, I discuss an unpublished book by Meillassoux unfamiliar to all readers of this article, except those scant few that may have gone digging in the microfilm archives of the École normale (...)
     
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  18. Editorial: Time & Experience: Twins of the Eternal Now?Gregory M. Nixon - 2010 - Journal of Consciousness Exploration and Research 1 (5):482-489.
    In what follows, I suggest that, against most theories of time, there really is an actual present, a now, but that such an eternal moment cannot be found before or after time. It may even be semantically incoherent to say that such an eternal present exists since “it” is changeless and formless (presumably a dynamic chaos without location or duration) yet with creative potential. Such a field of near-infinite potential energy could have had no beginning and will (...)
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  19. Time & Consciousness: Two Faces of One Mystery.Gregory Nixon (ed.) - 2010 - QuantumDream.
    In what follows, I suggest that, against most theories of time, there really is an actual present, a now, but that such an eternal moment cannot be found before or after time. It may even be semantically incoherent to say that such an eternal present exists since “it” is changeless and formless (presumably a dynamic chaos without location or duration) yet with creative potential. Such a field of near-infinite potential energy could have had no beginning and will (...)
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  20.  19
    When did biopolitics begin? Actuality and potentiality in historical events.Sergei Prozorov - 2022 - European Journal of Social Theory 25 (4):539-558.
    The article addresses the ongoing debate about the origins of biopolitics. While Foucault’s analysis of biopolitics approached it as a modern rationality of government, Agamben’s Homo Sacer series presented biopolitics as having a longer provenance, dating back to the antiquity. These polar positions are not mutually exclusive but coexist in these and other theories of biopolitics, which approach its object as both modern and ancient, having its chronological origin in the eighteenth to nineteenth centuries yet also possessing a prehistory of (...)
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  21. The Prescience of the Untimely: A Review of Arab Spring, Libyan Winter by Vijay Prashad. [REVIEW]Sasha Ross - 2012 - Continent 2 (3):218-223.
    continent. 2.3 (2012): 218–223 Vijay Prashad. Arab Spring, Libyan Winter . Oakland: AK Press. 2012. 271pp, pbk. $14.95 ISBN-13: 978-1849351126. Nearly a decade ago, I sat in a class entitled, quite simply, “Corporations,” taught by Vijay Prashad at Trinity College. Over the course of the semester, I was amazed at the extent of Prashad’s knowledge, and the complexity and erudition of his style. He has since authored a number of classic books that have gained recognition throughout the world. The Darker (...)
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  22.  87
    Past's Weight, Future's Promise: Reading Electra.William Junker - 2003 - Philosophy and Literature 27 (2):402-414.
    In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Literature 27.2 (2003) 402-414 [Access article in PDF] Past's Weight, Future's Promise:Reading Electra William Junker I SOPHOCLES' Electrapresents as its main character a woman who is tortured by the remembrance of things past: Even my pitiful bed remembers, there in that dreadful house, my long night-watches grieving my unlucky father who found no foreign resting place in war but died when my mother and Aegisthus, her lover, (...)
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  23. The Future Has Thicker Tails than the Past: Model Error as Branching Counterfactuals.Nassim N. Taleb - manuscript
    Ex ante predicted outcomes should be interpreted as counterfactuals (potential histories), with errors as the spread between outcomes. But error rates have error rates. We reapply measurements of uncertainty about the estimation errors of the estimation errors of an estimation treated as branching counterfactuals. Such recursions of epistemic uncertainty have markedly different distributial properties from conventional sampling error, and lead to fatter tails in the projections than in past realizations. Counterfactuals of error rates always lead to fat tails, regardless (...)
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  24.  53
    Time Does Not Pass if Time Began from an Infinite Past.Kunihisa Morita - 2022 - Kriterion – Journal of Philosophy 36 (3-4):291-302.
    Philosophers have long discussed whether time really passes. Simultaneously, they have also discussed whether time could have begun from an infinite past. This paper clarifies the relationship between the reality of time’s passage and an infinite past. I assert that time cannot have an infinite past if time really passes. This argument is based on a proposition that an infinite series of events cannot be completed if time really passes. A seemingly strong objection to this proposition is that no movement (...)
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  25.  89
    Bonaventure on the Impossibility of a Beginningless World.Benjamin Brown - 2005 - American Catholic Philosophical Quarterly 79 (3):389-409.
    Th is paper examines St. Bonaventure’s arguments for the impossibility of a beginningless world, taking into consideration their historical background and context. His argument for the impossibility of traversing the infinite is explored at greater length, taking into account the classic objection to this argument. It is argued that Bonaventure understood the issues at hand quite well and that histraversal argument is valid. Because of the nature of an actually infinite multitude, the difference between the infinite by division and (...)
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  26.  77
    Potentiality and Actuality of the Infinite: A Misunderstood Passage in Aristotle’s Metaphysics (Θ.6, 1048b14-17).Hermann Weidemann - 2017 - Phronesis 62 (2):210-225.
    InMetaphysicsΘ.6, 1048b14-17, Aristotle treats the problem of what it is for the infinite to exist potentially, i.e. to be potentially actual. According to my interpretation, Aristotle argues that to exist potentially is for the infinite to have a potentiality which cannot be actualized in reality but only in thought, because it is a potentiality the process of whose actualization cannot be brought to an end.
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  27. Potential infinite models and ontologically neutral logic.Theodore Hailperin - 2001 - Journal of Philosophical Logic 30 (1):79-96.
    The paper begins with a more carefully stated version of ontologically neutral (ON) logic, originally introduced in (Hailperin, 1997). A non-infinitistic semantics which includes a definition of potential infinite validity follows. It is shown, without appeal to the actual infinite, that this notion provides a necessary and sufficient condition for provability in ON logic.
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  28.  17
    Metahuman: unleashing your infinite potential.Deepak Chopra - 2019 - New York: Harmony.
    Is it possible to venture beyond daily living and experience heightened states of awareness? Deepak Chopra says that higher consciousness is available here and now. “Metahuman helps us harvest peak experiences so we can see our truth and mold the universe’s chaos into a form that brings light to the world.”—Dr. Mehmet Oz, attending physician, New York–Presbyterian, Columbia University New York Times bestselling author Deepak Chopra unlocks the secrets to moving beyond our present limitations to access a field of infinite (...)
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  29.  13
    Taking a Fresh Look at Foreign Language Enjoyment Research in SLA: Current Status, Future Directions, and Pedagogical Implications.Yunxian Guo & Yexiang Qiu - 2022 - Frontiers in Psychology 12:820025.
    Foreign Language Enjoyment (FLE), as the most prevalent positive emotion predicting L2 learners' academic performance and well-being, and a critical factor contributing to the creation of positive micro-institutions (e.g., the classrooms), has received remarkable scholarly attention across the globe in the past eight years. Despite the fact that FLE is the most extensively investigated positive emotion and extant research has yielded rich and invaluable findings, it is far from being adequately studied, leaving vast lacunas to be explored. Therefore, this conceptual (...)
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  30. The Gravity of Pure Forces.Nico Jenkins - 2011 - Continent 1 (1):60-67.
    continent. 1.1 (2011): 60-67. At the beginning of Martin Heidegger’s lecture “Time and Being,” presented to the University of Freiburg in 1962, he cautions against, it would seem, the requirement that philosophy make sense, or be necessarily responsible (Stambaugh, 1972). At that time Heidegger's project focused on thinking as thinking and in order to elucidate his ideas he drew comparisons between his project and two paintings by Paul Klee as well with a poem by Georg Trakl. In front of Klee's (...)
     
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  31.  93
    (1 other version)Infinity and the mind: the science and philosophy of the infinite.Rudy von Bitter Rucker - 1982 - Princeton, N.J.: Princeton University Press.
    In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the "Mindscape," where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Here Rucker acquaints us with Gödel's rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of (...)
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  32.  51
    Public responses to the sharing and linkage of health data for research purposes: a systematic review and thematic synthesis of qualitative studies.Mhairi Aitken, Jenna de St Jorre, Claudia Pagliari, Ruth Jepson & Sarah Cunningham-Burley - 2016 - BMC Medical Ethics 17 (1):73.
    BackgroundThe past 10 years have witnessed a significant growth in sharing of health data for secondary uses. Alongside this there has been growing interest in the public acceptability of data sharing and data linkage practices. Public acceptance is recognised as crucial for ensuring the legitimacy of current practices and systems of governance. Given the growing international interest in this area this systematic review and thematic synthesis represents a timely review of current evidence. It highlights the key factors influencing public responses (...)
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  33.  25
    Approaching History through the Future: Some Thoughts from a Feminist Pragmatist.Erin McKenna - 2022 - The Pluralist 17 (3):71-80.
    In lieu of an abstract, here is a brief excerpt of the content:Approaching History through the Future: Some Thoughts from a Feminist PragmatistErin McKennai was recently asked to write on the philosophy of history from a pragmatist perspective. My initial response was that this is not my area of specialization and that I didn’t really have much to say. Then I realized that it was interesting to think about how I view and use notions of history in my work as (...)
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  34. Actual versus Potential Infinity (BPhil manuscript.).Anne Newstead - 1997 - Dissertation, University of Oxford
    Do actual infinities exist or are they impossible? Does mathematical practice require the existence of actual infinities, or are potential infinities enough? Contrasting points of view are examined in depth, concentrating on Aristotle’s ancient arguments against actual infinities. In the long 19th century, we consider Cantor’s successful rehabilitation of the actual infinite within his set theory, his views on the continuum, Zeno's paradoxes, and the domain principle, criticisms by Frege, and the axiomatisation of set theory (...)
     
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  35.  34
    How do we research possible roads to alternative futures? Theoretical and methodological considerations.Dorothea Elena Schoppek - 2021 - Journal of Critical Realism 20 (2):146-158.
    ABSTRACT While multiple crisis phenomena have sparked experimentation with alternative forms of production and consumption on the micro level, it is not clear if and how these alternative practices may become hegemonic and thus displace capitalism as the hegemonic order on the macro level, rather than merely fostering pockets of a solidarity economy within capitalism. This question is hard to research, because it relates to post-capitalist futures rather than actual events or phenomena in the past or present. In this (...)
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  36.  21
    Democracy Past and Future.Pierre Rosanvallon (ed.) - 2006 - Columbia University Press.
    _Democracy Past and Future_ is the first English-language collection of Pierre Rosanvallon's most important essays on the historical origins, contemporary difficulties, and future prospects of democratic life. One of Europe's leading political thinkers, Rosanvallon proposes in these essays new readings of the history, aims, and possibilities of democratic theory and practice, and provides unique theoretical understandings of key moments in democracy's trajectory, from the French Revolution and the struggles for universal suffrage to European unification and the crises of the present. (...)
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  37.  59
    Logic Semantics with the Potential Infinite.Theodore Hailperin - 2010 - History and Philosophy of Logic 31 (2):145-159.
    A form of quantification logic referred to by the author in earlier papers as being 'ontologically neutral' still made use of the actual infinite in its semantics. Here it is shown that one can have, if one desires, a formal logic that refers in its semantics only to the potential infinite. Included are two new quantifiers generalizing the sentential connectives, equivalence and non-equivalence. There are thus new avenues opening up for exploration in both quantification logic and semantics of (...)
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  38.  37
    Herbrand semantics, the potential infinite, and ontology-free logic.Theodore Hailperin - 1992 - History and Philosophy of Logic 13 (1):69-90.
    This paper investigates the ontological presuppositions of quantifier logic. It is seen that the actual infinite, although present in the usual completeness proofs, is not needed for a proper semantic foundation. Additionally, quantifier logic can be given an adequate formulation in which neither the notion of individual nor that of a predicate appears.
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  39.  30
    Kant on Time and the Infinite, Potential and Actual.Charles P. Bigger - 1975 - Southwestern Journal of Philosophy 6 (1):95-103.
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  40. THE PHILOSOPHY OF KURT GODEL - ALEXIS KARPOUZOS.Alexis Karpouzos - 2024 - The Harvard Review of Philosophy 8 (14):12.
    Gödel's Philosophical Legacy Kurt Gödel's contributions to philosophy extend beyond his incompleteness theorems. He engaged deeply with the work of other philosophers, including Immanuel Kant and Edmund Husserl, and explored topics such as the nature of time, the structure of the universe, and the relationship between mathematics and reality. Gödel's philosophical writings, though less well-known than his mathematical work, offer rich insights into his views on the nature of existence, the limits of human knowledge, and the interplay between the finite (...)
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  41.  57
    Present', 'Past', and 'Future' as Categoreal Terms, and the "Fallacy of the Actual Future.George L. Kline - 1986 - Review of Metaphysics 40 (2):215 - 235.
    FOR MANY YEARS the received wisdom--proclaimed by certain physicists and philosophers of physics and received by certain metaphysicians--was that, in Bertrand Russell's inimitable phrase, "time is an unimportant and superficial characteristic of reality. Past and future must be acknowledged to be as real as the present." Moreover, according to Russell, "it is a mere accident that we have no memory of the future"--presumably because the future, regarded as no less determinate than the past, is held to be equally "there" to (...)
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  42.  40
    Aquinas on Change. Actuality, Tense and Time in Thomas Aquinas' Philosophy of Nature.Luca0 Gili - 2016 - Dissertation, Ku Leuven
    This dissertation includes an introduction, five main chapters, and a conclusion. In the chapter “The Definition of Change”, I expound Aquinas’ account of change. I maintain that Aquinas’ account is meant to describe both spiritual and material changes. Hence, the hylomorphic account of change as the passage from form-less matter to enformed matter is unable to describe all changes. Contrary to Brower, I suggest that Aquinas’ favorite model involves a passage from potentiality to actuality. In addition, I state that ‘change’ (...)
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  43. Worlds apart: On the possibility of an actual infinity.Josh Dever - unknown
    Cosmological arguments attempt to prove the existence of God by appeal to the necessity of a first cause. Schematically, a cosmological argument will thus appear as: (1) All contingent beings have a cause of existence. (2) There can be no infinite causal chains. (3) Therefore, there must be some non-contingent First Cause. Cosmological arguments come in two species, depending on their justification of the second premiss. Non-temporal cosmological arguments, such as those of Aristotle and Aquinas, view causation as requiring explanatory (...)
     
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  44. The Actual Infinite as a Day or the Games.Pascal Massie - 2007 - Review of Metaphysics 60 (3):573-596.
    It is commonly assumed that Aristotle denies any real existence to infinity. Nothing is actually infinite. If, in order to resolve Zeno’s paradoxes, Aristotle must talk of infinity, it is only in the sense of a potentiality that can never be actualized. Aristotle’s solution has been both praised for its subtlety and blamed for entailing a limitation of mathematic. His understanding of the infinite as simply indefinite (the “bad infinite” that fails to reach its accomplishment), his conception of the cosmos (...)
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  45.  11
    Aquinas on God’s Knowledge of Future Contingents.William Lane Craig - 1990 - The Thomist 54 (1):33-79.
    In lieu of an abstract, here is a brief excerpt of the content:AQUINAS ON GOD'S KNOWLEDGE OF FUTURE CONTINGENTS WILLIAM LANE CRAIG Oatholio University of Louvain Louvain, Belgium IF A THEOLOGICAL fatalist is someone who believes that God's foreknowledge of future events is incompatible with contingency and human freedom, then Thomas Aquinas was a theological fatalist. Unlike Augustine, Boethius, and Anselm, he did not believe that one could accept that God foreknows future events and yet adhere to the contingency of (...)
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  46.  30
    Democracy Past and Future.Samuel Moyn (ed.) - 2006 - Cambridge University Press.
    _Democracy Past and Future_ is the first English-language collection of Pierre Rosanvallon's most important essays on the historical origins, contemporary difficulties, and future prospects of democratic life. One of Europe's leading political thinkers, Rosanvallon proposes in these essays new readings of the history, aims, and possibilities of democratic theory and practice, and provides unique theoretical understandings of key moments in democracy's trajectory, from the French Revolution and the struggles for universal suffrage to European unification and the crises of the present. (...)
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  47.  37
    Leibniz’s Syncategorematic Actual Infinite.Richard T. W. Arthur - 2018 - In Igor Agostini, Richard T. W. Arthur, Geoffrey Gorham, Paul Guyer, Mogens Lærke, Yitzhak Y. Melamed, Ohad Nachtomy, Sanja Särman, Anat Schechtman, Noa Shein & Reed Winegar, Infinity in Early Modern Philosophy. Cham: Springer Verlag. pp. 155-179.
    It is well known that Leibniz advocated the actual infinite, but that he did not admit infinite collections or infinite numbers. But his assimilation of this account to the scholastic notion of the syncategorematic infinite has given rise to controversy. A common interpretation is that in mathematics Leibniz’s syncategorematic infinite is identical with the Aristotelian potential infinite, so that it applies only to ideal entities, and is therefore distinct from the actual infinite that applies to the (...) world. Against this, I argue in this paper that Leibniz’s actual infinite, understood syncategorematically, applies to any entities that are actually infinite in multitude, whether numbers, actual parts of matter, or monads. It signifies that there are more of them than can be assigned a number, but that there is no infinite number or collection of them, which notion involves a contradiction. Similarly, to say that a magnitude is actually infinitely small in the syncategorematic sense is to say that no matter how small a magnitude one takes, there is a smaller, but there are no actual infinitesimals. In geometry one may calculate with expressions apparently denoting such entities, on the understanding that they are fictions, standing for variable magnitudes that can be made arbitrarily small, so as to produce demonstrations that there is no error in the resulting expressions. (shrink)
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  48.  26
    The Past and Future of Utopian Studies.Laurence Davis - 2024 - Utopian Studies 34 (3):478-488.
    In lieu of an abstract, here is a brief excerpt of the content:The Past and Future of Utopian StudiesLaurence Davis (bio)This critical forum on “The Past and Future of Utopian Studies” originated as a roundtable discussion at the conference, “Opening Utopia: New Directions in Utopian Studies,” held at the University of Brighton in July 2022. The title of the conference reflected a determination on the part of the program coordination team—Patricia McManus (University of Brighton), Laurence Davis (University College Cork), Siân (...)
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  49. Heartbreak at Hilbert's Hotel.Landon Hedrick - 2014 - Religious Studies 50 (1):27-46.
    William Lane Craig's defence of the kalam cosmological argument rests heavily on two philosophical arguments against a past-eternal universe. In this article I take issue with one of these arguments, what I call the – namely, that the metaphysical absurdity of an actually infinite number of things existing precludes the possibility of a beginningless past. After explaining this argument, I proceed to raise some initial doubts. After setting those aside, I show that the argument is ineffective against proponents of (...)
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    The Body, Experience, and the History of Dream-Science in Artemidorus’ Oneirocritica.Calloway B. Scott - 2023 - Apeiron 56 (1):131-161.
    The five books of Artemidorus of Ephesus’ Oneirocritica (c. second century CE) constitute the largest collection of divinatory dream-interpretations to survive from Graeco-Roman antiquity. This article examines Artemidorus’ contribution to longstanding medico-philosophical debates over the ontological and epistemic character of such dreams. As with wider Mediterranean traditions concerning premonitory dreams, Greeks and Romans popularly understood them as phenomena with origins exterior to the dreamer (e.g. a visitation of a god). Presocratic and Hippocratic thinkers, however, initiated an effort to bring at (...)
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