Search results for 'Infinite History' (try it on Scholar)

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  1. Eli Maor (1987/1991). To Infinity and Beyond: A Cultural History of the Infinite. Princeton University Press.score: 138.0
    Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind--from the "horror infiniti" of the Greeks to the works of M. C. Escher from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the (...)
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  2. Karsten Harries (1975). The Infinite Sphere: Comments on the History of a Metaphor. Journal of the History of Philosophy 13 (1):5-15.score: 126.0
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  3. Jonathan Wright (2014). The Horizon: A History of Our Infinite Longing. By Didier Maleuvre. Pp. Xxi, 363. Berkeley, University of California Press, 2011, £19.95. [REVIEW] Heythrop Journal 55 (1):169-169.score: 120.0
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  4. Denys A. Turner (2011). Part V. Perspectives on Infinity From Philosophy and Theology : 11. God and Infinity : Directions for Future Research / Graham Oppy ; 12. Notes on the Concept of the Infinite in the History of Western Metaphysics / David Bentley Hart ; 13. God and Infinity : Theological Insights From Cantor's Mathematics / Robert J. Russell ; 14. A Partially Skeptical Response to Hart and Russell. [REVIEW] In Michał Heller & W. H. Woodin (eds.), Infinity: New Research Frontiers. Cambridge University Press.score: 120.0
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  5. Anne Ashley Davenport (1999). Measure of a Different Greatness: The Intensive Infinite, 1250-1650. Brill.score: 96.0
    This volume examines a selection of late medieval works devoted to the intensive infinite in order to draw a comprehensive picture of the context, character and ...
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  6. Michał Heller & W. H. Woodin (eds.) (2011). Infinity: New Research Frontiers. Cambridge University Press.score: 84.0
    Machine generated contents note: Introduction Rudy Rucker; Part I. Perspectives on Infinity from History: 1. Infinity as a transformative concept in science and theology Wolfgang Achtner; Part II. Perspectives on Infinity from Mathematics: 2. The mathematical infinity Enrico Bombieri; 3. Warning signs of a possible collapse of contemporary mathematics Edward Nelson; Part III. Technical Perspectives on Infinity from Advanced Mathematics: 4. The realm of the infinite W. Hugh Woodin; 5. A potential subtlety concerning the distinction between determinism and (...)
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  7. A. W. Moore (1990/2002). The Infinite. Routledge.score: 66.0
    This historical study of the infinite covers all its aspects from the mathematical to the mystical. Anyone who has ever pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognize the special fascination of the subject. Beginning with an entertaining account of the main paradoxes of the infinite, including those of Zeno, A.W. Moore traces the history of the topic from Aristotle to Kant, Hegel, Cantor, and Wittgenstein.
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  8. Marnie Binder (2010). Anti-Dualism in History and Nature: A Study Between John Dewey and José Ortega y Gasset. Journal of the Philosophy of History 4 (1):44-64.score: 60.0
    This paper argues that a principle manner in which Spanish philosopher Josrtega y Gasset’s historicist maxim ’man has no nature, what he has is history’ can be understood is through a pragmatist basis of anti-dualism, in part inherited from American philosopher John Dewey. The thesis here is that it is not that man has no nature, per se, rather that history is his nature because the two are anti-dualistic concepts; history is our nature because it is comprised (...)
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  9. Dale Jacquette (2001). David Hume's Critique of Infinity. Brill.score: 60.0
    The present work considers Hume's critique of infinity in historical context as a product of Enlightenment theory of knowledge, and assesses the prospects of ...
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  10. Lukas M. Verburgt (2014). John Venn's Hypothetical Infinite Frequentism and Logic. History and Philosophy of Logic 35 (3):248-271.score: 60.0
    (2014). John Venn's Hypothetical Infinite Frequentism and Logic. History and Philosophy of Logic: Vol. 35, No. 3, pp. 248-271. doi: 10.1080/01445340.2014.913351.
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  11. Norman Kretzmann (ed.) (1982). Infinity and Continuity in Ancient and Medieval Thought. Cornell University Press.score: 60.0
     
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  12. N. I. Beresneva (2004). I͡azyk I Realʹnostʹ. Permskiĭ Gos. Universitet.score: 60.0
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  13. J. Biard & J. Celeyrette (eds.) (2005). De la Théologie aux Mathématiques: L'Infini au Xive Siècle. Belles Lettres.score: 60.0
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  14. Hongliang Shen (2010). Wu Xian de Tan Suo. Qing Hua da Xue Chu Ban She.score: 60.0
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  15. Nicholas Stang (2012). Kant on Complete Determination and Infinite Judgement. British Journal for the History of Philosophy 20 (6):1117-1139.score: 54.0
    In the Transcendental Ideal Kant discusses the principle of complete determination: for every object and every predicate A, the object is either determinately A or not-A. He claims this principle is synthetic, but it appears to follow from the principle of excluded middle, which is analytic. He also makes a puzzling claim in support of its syntheticity: that it represents individual objects as deriving their possibility from the whole of possibility. This raises a puzzle about why Kant regarded it as (...)
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  16. John Corcoran (2006). Schemata: The Concept of Schema in the History of Logic. Bulletin of Symbolic Logic 12 (2):219-240.score: 54.0
    The syllogistic figures and moods can be taken to be argument schemata as can the rules of the Stoic propositional logic. Sentence schemata have been used in axiomatizations of logic only since the landmark 1927 von Neumann paper [31]. Modern philosophers know the role of schemata in explications of the semantic conception of truth through Tarski’s 1933 Convention T [42]. Mathematical logicians recognize the role of schemata in first-order number theory where Peano’s second-order Induction Axiom is approximated by Herbrand’s Induction-Axiom (...)
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  17. James Franklin (1994). Achievements and Fallacies in Hume's Account of Infinite Divisibility. Hume Studies 20 (1):85-101.score: 54.0
    Throughout history, almost all mathematicians, physicists and philosophers have been of the opinion that space and time are infinitely divisible. That is, it is usually believed that space and time do not consist of atoms, but that any piece of space and time of non-zero size, however small, can itself be divided into still smaller parts. This assumption is included in geometry, as in Euclid, and also in the Euclidean and non- Euclidean geometries used in modern physics. Of the (...)
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  18. Scott Edgar, Hermann Cohen's Principle of the Infinitesimal Method and its History: A Rationalist Interpretation.score: 54.0
    This paper defends a Leibnizian rationalist interpretation of Hermann Cohen’s Principle of the Infinitesimal Method and its History (1883). The first half of the paper identifies Cohen’s various different philosophical aims in the PIM. It argues that they are unified by the fact that Cohen’s arguments for addressing those aims all depend on a single shared premise. That linchpin premise is the claim that mathematical natural science can represent individual objects only if it also represents infinitesimal magnitudes. The second (...)
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  19. Adam Harmer (2014). Leibniz on Infinite Numbers, Infinite Wholes, and Composite Substances. British Journal for the History of Philosophy 22 (2):236-259.score: 54.0
    Leibniz claims that nature is actually infinite but rejects infinite number. Are his mathematical commitments out of step with his metaphysical ones? It is widely accepted that Leibniz has a viable response to this problem: there can be infinitely many created substances, but no infinite number of them. But there is a second problem that has not been satisfactorily resolved. It has been suggested that Leibniz’s argument against the world soul relies on his rejection of infinite (...)
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  20. Freeman J. Dyson (1988/2004). Infinite in All Directions: Gifford Lectures Given at Aberdeen, Scotland, April-November 1985. Perennial.score: 54.0
    Infinite in All Directions is a popularized science at its best. In Dyson's view, science and religion are two windows through which we can look out at the world around us. The book is a revised version of a series of the Gifford Lectures under the title "In Praise of Diversity" given at Aberdeen, Scotland. They allowed Dyson the license to express everything in the universe, which he divided into two parts in polished prose: focusing on the diversity of (...)
     
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  21. Pedro Geiger (2011). Civilization, Mode of Production, Ages of History and the Three-Legged Movements. Dialogue and Universalism 21 (1):123-134.score: 54.0
    Since its presumed origin by the big bang, about 14 pasts billion years, the Universe is composed of entities, or objects, that produce movements that produce new objects that produce new movements, in an endless sequence.The human mind is one of these entities, whose movements are capable to produce many objects, materialized or as ideas. Those objects in their turn will interact with the mind and new movements will be produced. This process had composed the history of mankind.The Nature (...)
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  22. Caleb Cohoe (2013). There Must Be A First: Why Thomas Aquinas Rejects Infinite, Essentially Ordered, Causal Series. British Journal for the History of Philosophy 21 (5):838 - 856.score: 48.0
    Several of Thomas Aquinas's proofs for the existence of God rely on the claim that causal series cannot proceed in infinitum. I argue that Aquinas has good reason to hold this claim given his conception of causation. Because he holds that effects are ontologically dependent on their causes, he holds that the relevant causal series are wholly derivative: the later members of such series serve as causes only insofar as they have been caused by and are effects of the earlier (...)
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  23. David Dunér (2004). Världsmaskinen: Emanuel Swedenborgs Naturfilosofi. Bokförlaget Nya Doxa.score: 48.0
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  24. Zsigmond Szabó (2005). A Keletkezés Ontológiája: A Végtelen Fenomenológiája. Magyar Filozófiai Társaság.score: 48.0
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  25. Robert Batterman (2005). Critical Phenomena and Breaking Drops: Infinite Idealizations in Physics. Studies in History and Philosophy of Science Part B 36 (2):225-244.score: 42.0
    Thermodynamics and Statistical Mechanics are related to one another through the so-called "thermodynamic limit'' in which, roughly speaking the number of particles becomes infinite. At critical points (places of physical discontinuity) this limit fails to be regular. As a result, the "reduction'' of Thermodynamics to Statistical Mechanics fails to hold at such critical phases. This fact is key to understanding an argument due to Craig Callender to the effect that the thermodynamic limit leads to mistakes in Statistical Mechanics. I (...)
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  26. Theodore Hailperin (2011). Logic Semantics with the Potential Infinite. History and Philosophy of Logic 31 (2):145-159.score: 42.0
    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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  27. Dale Jacquette (1996). Hume on Infinite Divisibility and Sensible Extensionless Indivisibles. Journal of the History of Philosophy 34 (1):61-78.score: 42.0
    This essay examines David Hume's principal criticism of the idea of the infinite divisibility of extension in the ink-spot experiment of _Treatise, Book I, Part II, and his arguments for his positive theory of finitely divisible space as composed of finitely many sensible extensionless indivisibles or _minima sensibilia. The essay considers Hume's strict finitist metaphysics of space in the context of his reactions to a trilemma about the impossibility of the divisibility of extension on any theory posed by Pierre (...)
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  28. Marshall Abrams (2006). Infinite Populations and Counterfactual Frequencies in Evolutionary Theory. Studies in History and Philosophy of Science Part C 37 (2):256-268.score: 42.0
    One finds intertwined with ideas at the core of evolutionary theory claims about frequencies in counterfactual and infinitely large populations of organisms, as well as in sets of populations of organisms. One also finds claims about frequencies in counterfactual and infinitely large populations—of events—at the core of an answer to a question concerning the foundations of evolutionary theory. The question is this: To what do the numerical probabilities found throughout evolutionary theory correspond? The answer in question says that evolutionary probabilities (...)
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  29. Sylvia Wenmackers (2012). Ultralarge and Infinite Lotteries. In B. Van Kerkhove, T. Libert, G. Vanpaemel & P. Marage (eds.), Logic, Philosophy and History of Science in Belgium II (Proceedings of the Young Researchers Days 2010). Koninklijke Vlaamse Academie van België voor Wetenschappen en Kunsten.score: 42.0
    By exploiting the parallels between large, yet finite lotteries on the one hand and countably infinite lotteries on the other, we gain insights in the foundations of probability theory as well as in epistemology. We solve the 'adding problems' that occur in these two contexts using a similar strategy, based on non-standard analysis.
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  30. Anat Schechtman (2014). Descartes's Argument for the Existence of the Idea of an Infinite Being. Journal of the History of Philosophy 52 (3):487-517.score: 42.0
    the meditations on first philosophy presents us with an alleged proof for the existence of God that proceeds from the existence of an idea of an infinite being in the human mind—an idea of God—to the existence of God himself. Insofar as we have an idea of an infinite being, an idea with “infinite objective reality,” we can legitimately ask whence it came to us. The only possible cause of this idea, claims Descartes, is an infinite (...)
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  31. Theodore Hailperin (1992). Herbrand Semantics, the Potential Infinite, and Ontology-Free Logic. History and Philosophy of Logic 13 (1):69-90.score: 42.0
    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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  32. Antoinette Mann Paterson (1970). The Infinite Worlds of Giordano Bruno. Springfield, Ill.,Thomas.score: 42.0
     
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  33. David Corfield (2011). Understanding the Infinite II: Coalgebra. Studies in History and Philosophy of Science Part A 42 (4):571-579.score: 38.0
    In this paper we give an account of the rise and development of coalgebraic thinking in mathematics and computer science as an illustration of the way mathematical frameworks may be transformed. Originating in a foundational dispute as to the correct way to characterise sets, logicians and computer scientists came to see maximizing and minimizing extremal axiomatisations as a dual pair, each necessary to represent entities of interest. In particular, many important infinitely large entities can be characterised in terms of such (...)
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  34. Jing Zhu (2004). Understanding Volition. Philosophical Psychology 17 (2):247-274.score: 36.0
    The concept of volition has a long history in Western thought, but is looked upon unfavorably in contemporary philosophy and psychology. This paper proposes and elaborates a unifying conception of volition, which views volition as a mediating executive mental process that bridges the gaps between an agent's deliberation, decision and voluntary bodily action. Then the paper critically examines three major skeptical arguments against volition: volition is a mystery, volition is an illusion, and volition is a fundamentally flawed conception that (...)
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  35. David Rapport Lachterman (1992). Mathematical Construction, Symbolic Cognition and the Infinite Intellect: Reflections on Maimon and Maimonides. Journal of the History of Philosophy 30 (4):497-522.score: 36.0
  36. Manfred Frank (2004). Fragments of a History of the Theory of Self-Consciousness From Kant to Kierkegaard. Critical Horizons 5 (1):53-136.score: 36.0
    In the development of modern philosophy self-consciousness was not generally or unanimously given important consideration. This was because philosophers such as Descartes, Kant and Fichte thought it served as the highest principle from which we can 'deduce' all propositions that rightly claimed validity. However, the Romantics thought that the consideration of self-consciousness was of the highest importance even when any claim to foundationalism was abandoned. In this respect, Hölderlin and his circle, as well as Novalis and Schleiermacher, thought that self-consciousness, (...)
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  37. Elizabeth Brient (1999). Transitions to a Modern Cosmology: Meister Eckhart and Nicholas of Cusa on the Intensive Infinite. Journal of the History of Philosophy 37 (4):575-600.score: 36.0
  38. Tad M. Schmaltz (1997). Spinoza's Mediate Infinite Mode. Journal of the History of Philosophy 35 (2):199-235.score: 36.0
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  39. Mark van Atten (2011). A Note on Leibniz's Argument Against Infinite Wholes. British Journal for the History of Philosophy 19 (1):121-129.score: 36.0
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  40. Catherine Wilson (1997). Motion, Sensation, and the Infinite: The Lasting Impression of Hobbes on Leibniz. British Journal for the History of Philosophy 5 (2):339 – 351.score: 36.0
  41. Dale Jacquette (2002). Hume on Infinite Divisibility and the Negative Idea of a Vacuum. British Journal for the History of Philosophy 10 (3):413 – 435.score: 36.0
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  42. Donald L. M. Baxter (1988). Hume on Infinite Divisibility. History of Philosophy Quarterly 5 (2):133-140.score: 36.0
  43. Joseph W. Dauben (1977). Georg Cantor and Pope Leo XIII: Mathematics, Theology, and the Infinite. Journal of the History of Ideas 38 (1):85-108.score: 36.0
  44. Amir D. Aczel (2000). The Mystery of the Aleph: Mathematics, the Kabbalah, and the Search for Infinity. Four Walls Eight Windows.score: 36.0
    From the end of the 19th century until his death, one of history's most brilliant mathematicians languished in an asylum. The Mystery of the Aleph tells the story of Georg Cantor (1845-1918), a Russian-born German who created set theory, the concept of infinite numbers, and the "continuum hypothesis," which challenged the very foundations of mathematics. His ideas brought expected denunciation from established corners - he was called a "corruptor of youth" not only for his work in mathematics, but (...)
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  45. Nancy Kendrick (1998). Uniqueness in Descartes' "Infinite" and "Indefinite". History of Philosophy Quarterly 15 (1):23 - 36.score: 36.0
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  46. Douglas Moggach (2002). The Philosophy and Politics of Bruno Bauer. Cambridge University Press.score: 36.0
    This is the first comprehensive study in English of Bruno Bauer, a leading Hegelian philosopher of the 1840s. Inspired by the philosophy of Hegel, Bauer led an intellectual revolution that influenced Marx and shaped modern secular humanism. In the process he offered a republican alternative to liberalism and socialism, criticized religious and political conservatism and set out the terms for the development of modern mass and industrial society. Based on in-depth archival research this book traces the emergence of republican political (...)
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  47. Huw Price (2007). Starving the Theological Cuckoo: Review of John Leslie. Infinite Minds: A Philosophical Cosmology. [REVIEW] Spontaneous Generations: A Journal for the History and Philosophy of Science 1 (1):136.score: 36.0
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  48. Lee C. Rice (1996). Spinoza's Infinite Extension. History of European Ideas 22 (1):33-43.score: 36.0
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  49. Ermanno Bencivenga (forthcoming). An Infinite Given Magnitude. History of Philosophy Quarterly.score: 36.0
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  50. Brian Clegg (2003). Infinity: The Quest to Think the Unthinkable. Distributed by Publishers Group West.score: 36.0
    It amazes children, as they try to count themselves out of numbers, only to discover one day that the hundreds, thousands, and zillions go on forever—to something like infinity. And anyone who has advanced beyond the bounds of basic mathematics has soon marveled at that drunken number eight lying on its side in the pages of their work. Infinity fascinates; it takes the mind beyond its everyday concerns—indeed, beyond everything—to something always more. Infinity makes even the infinite universe (...)
     
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