Results for 'Cosmological Proofs'

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  1. Proofs of God in Early Modern Europe.Lloyd Strickland - 2018 - Waco, TX, USA: Baylor University Press. Edited by Lloyd Strickland.
    Proofs of God in Early Modern Europe offers a fascinating window into early modern efforts to prove God’s existence. Assembled here are twenty-two key texts, many translated into English for the first time, which illustrate the variety of arguments that philosophers of the seventeenth and eighteenth centuries offered for God. These selections feature traditional proofs—such as various ontological, cosmological, and design arguments—but also introduce more exotic proofs, such as the argument from eternal truths, the argument from (...)
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  2. Koons' Cosmological Argument.Graham Oppy - 1999 - Faith and Philosophy 16 (3):378-389.
    Robert Koons has recently defended what he claims is a successful argument for the existence of a necessary first cause, and which he develops by taking “a new look” at traditional arguments from contingency. I argue that Koons’ argument is less than successful; in particular, I claim that his attempt to “shift the burden of proof” to non-theists amounts to nothing more than an ill-disguised begging of one of the central questions upon which theists and non-theists disagree. I also argue (...)
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  3. On ‘a new cosmological argument’.Graham Oppy - 2000 - Religious Studies 36 (3):345-353.
    Richard Gale and Alexander Pruss contend that their ‘new cosmological argument’ is an improvement over familiar cosmological arguments because it relies upon a weaker version of the Principle of Sufficient Reason than that used in those more familiar arguments. However, I note that their ‘weaker’ version of the Principle of Sufficient Reason entails the ‘stronger’ version of that principle which is used in more familiar arguments, so that the alleged advantage of their proof turns out to be illusory. (...)
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  4. Modal collapse in Gödel's ontological proof.Srećko Kovač - 2012 - In Miroslaw Szatkowski (ed.), Ontological Proofs Today. Ontos Verlag. pp. 50--323.
    After introductory reminder of and comments on Gödel’s ontological proof, we discuss the collapse of modalities, which is provable in Gödel’s ontological system GO. We argue that Gödel’s texts confirm modal collapse as intended consequence of his ontological system. Further, we aim to show that modal collapse properly fits into Gödel’s philosophical views, especially into his ontology of separation and union of force and fact, as well as into his cosmological theory of the nonobjectivity of the lapse of time. (...)
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  5. Faulty Reasoning About Default Principles in Cosmological Arguments.Graham Oppy - 2004 - Faith and Philosophy 21 (2):242-249.
    Robert Koons claims that my previous critique of his “new” cosmological argument is vitiated by confusion about the nature of defeasible argumentation.In response, I claim that Koons misrepresents—and perhaps misunderstands—the nature of my objections to his “new” cosmological argument. The main claims which I defend are: (1) that the move from a non-defeasible to a defeasible causal principle makes absolutely no difference to the success of the cosmological argument in which it is contained; and (2) that, since (...)
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  6. Balloons on a String: A Critique of Multiverse Cosmology.Bruce Gordon - 2011 - In William A. Dembski and Bruce L. Gordon (ed.), The Nature of Nature: Examining the Role of Naturalism in Science. Wilmington, DE, USA: pp. 558-601.
    Our examination of universal origins and fine-tuning will begin with a discussion of infl ationary scenarios grafted onto Big Bang cosmology and the proof that all infl ationary spacetimes are past-incomplete. After diverting into a lengthy critical examination of the “different physics” offered by quantum cosmologists at the past-boundary of the universe, we will proceed to dissect the inadequacies of infl ationary explanations and string-theoretic constructs in the context of three cosmological models that have received much attention: the Steinhardt-Turok (...)
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  7. Edward Feser: Five Proofs of the Existence of God. [REVIEW]Logan Paul Gage - 2019 - Philosophia Christi 21 (1):228-232.
    A review of Edward Feser's Five Proofs of the Existence of God.
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  8. Thinking Matter in Locke's Proof of God's Existence.Patrick J. Connolly - 2019 - Oxford Studies in Early Modern Philosophy 9:105-130.
    Commentators almost universally agree that Locke denies the possibility of thinking matter in Book IV Chapter 10 of the Essay. Further, they argue that Locke must do this in order for his proof of God’s existence in the chapter to be successful. This paper disputes these claims and develops an interpretation according to which Locke allows for the possibility that a system of matter could think (even prior to any act of superaddition on God’s part). In addition, the paper argues (...)
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  9.  48
    Rational Theism, Part One: An A Priori Proof in God's Existence, Omniscient and Omnipotent (A Science of Metaphysics in answer to the challenge of Immanuel Kant) (6th edition).Ray Liikanen - 2024 - Self-published.
    This work in metaphysics adheres to the critical demands of Immanuel Kant for what Kant would call a science of metaphysics, in that it consits strictly of a priori principles that, while from pure reason, can help make sense of our phenomenal world (Kant's criterion for objective validity). The work has an Appendix quoting Kant's most relevant remarks with regard to a science, and offers parallel quotes from David Hume's "Treatise of Human Nature". The work advances the explanation of a (...)
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  10. Rational Theism, Part One: An A Priori Proof in God's Existence, Omniscient and Omnipotent (A Science of Metaphysics in answer to the challenge of Immanuel Kant).R. Liikanen - 2023 - Bathurst, New Brunswick: Self-published.
    This is a system of pure speculative reason in answer to the challenge issued by Immanuel Kant, in his "Critique of Pure Reason," with regard to metaphysics; the challenge being clearly mentioned in the Appendix to his "Prolegomena..." wherein he asks his Reviewer to take any one of his four sets of contradictory propositions, and offer an a priori judgment/proposition of his own that would overturn the antinomy, and thus, allow room for the possibility of raising metaphysics to the level (...)
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  11. Hasdai Crescas and Spinoza on Actual Infinity and the Infinity of God’s Attributes.Yitzhak Melamed - 2014 - In Steven Nadler (ed.), Spinoza and Jewish Philosophy. Cambridge University Press. pp. 204-215.
    The seventeenth century was an important period in the conceptual development of the notion of the infinite. In 1643, Evangelista Torricelli (1608-1647)—Galileo’s successor in the chair of mathematics in Florence—communicated his proof of a solid of infinite length but finite volume. Many of the leading metaphysicians of the time, notably Spinoza and Leibniz, came out in defense of actual infinity, rejecting the Aristotelian ban on it, which had been almost universally accepted for two millennia. Though it would be another two (...)
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  12. God and Ultimate Origins Review. [REVIEW]Domenic Marbaniang - unknown
    The cosmological argument, while considered to be deductive by some of its propounders, is not considered fool-proof by others. However, given the fact that causality is intrinsic to our thinking, reasoning towards ultimate causality remains significant. Andrew Loke capitalizes on this in his recent book.
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  13. From the History of Physics to the Discovery of the Foundations of Physics,.Antonino Drago - manuscript
    FROM THE HISTORY OF PHYSICS TO THE DISCOVERY OF THE FOUNDATIONS OF PHYSICS By Antonino Drago, formerly at Naples University “Federico II”, Italy – drago@unina,.it (Size : 391.800 bytes 75,400 words) The book summarizes a half a century author’s work on the foundations of physics. For the forst time is established a level of discourse on theoretical physics which at the same time is philosophical in nature (kinds of infinity, kinds of organization) and formal (kinds of mathematics, kinds of logic). (...)
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  14. Aquinas' Teleological Argument and Eschatological Consciousness in Nigeria (4th edition).Tochukwu Obumneme PaulMary Nweze - 2022 - Dominican University Journal of Humanities 4:25-40.
    An examination of the idea of eschatology and teleology from the Nigerian socio-cultural perspective, through the lenses of St Thomas Aquinas' _Quinque Viae_. While admitting the current realities and fears of Nigeria and Nigerians, it proposes the adoption of applicable contextual imagery of what it means to be culturally venerable and yet realistically disposed to the changing trends in the modern world.
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  15. Thomas Aquinas On Knowledge.Raphael Descartes M. Roldan - manuscript
    This is an excerpt of Aquinas' proof of the existence of God. In proving God's existence, Aquinas lays out a cosmological argument of which also sets that tone for his seminal work in epistemology.
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  16. Reply to professor Craig.Graham Oppy - 1995 - Sophia 34 (2):15-29.
    I hold that the considerations adduced in kalam cosmological arguments do not embody reasons for reflective atheists and agnostics to embrace the conclusion of those arguments, viz. that the universe had a cause of its existence. I do not claim to be able to show that reflective theists could not reasonably believe that those arguments are sound; indeed, I am prepared to concede that it is epistemically possible that the arguments procede validly from true premises. However, I am prepared (...)
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  17. The question of the existence of God in the book of Stephen Hawking: A brief history of time.Alfred Driessen - 1997 - In Alfred Driessen & Antoine Suarez (eds.), Mathematical undecidability, quantum nonlocality, and the question of the existence of God. Springer.
    The continuing interest in the book of S. Hawking "A Brief History of Time" makes a philosophical evaluation of the content highly desirable. As will be shown, the genre of this work can be identified as a speciality in philosophy, namely the proof of the existence of God. In this study an attempt is given to unveil the philosophical concepts and steps that lead to the final conclusions, without discussing in detail the remarkable review of modern physical theories. In order (...)
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  18. Al-Ghazālī and Descartes on Defeating Skepticism.Saja Parvizian - 2020 - Journal of Philosophical Research 45:133-148.
    Commentators have noticed the striking similarities between the skep­tical arguments of al-Ghazālī’s Deliverance from Error and Descartes’ Discourse on Method and Meditations on First Philosophy. However, commentators agree that their solutions to skepticism are radically different. Al-Ghazālī does not use rational proofs to defeat skepticism; rather, he relies on a supernatural light [nūr] sent by God to rescue him from skepticism. Descartes, on the other hand, relies on the natural light of reason [lumen naturale] to prove the existence of (...)
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  19. The Physics of God and the Quantum Gravity Theory of Everything.James Redford - 2021 - In The Physics of God and the Quantum Gravity Theory of Everything: And Other Selected Works. Chișinău, Moldova: Eliva Press. pp. 1-186.
    Analysis is given of the Omega Point cosmology, an extensively peer-reviewed proof (i.e., mathematical theorem) published in leading physics journals by professor of physics and mathematics Frank J. Tipler, which demonstrates that in order for the known laws of physics to be mutually consistent, the universe must diverge to infinite computational power as it collapses into a final cosmological singularity, termed the Omega Point. The theorem is an intrinsic component of the Feynman-DeWitt-Weinberg quantum gravity/Standard Model Theory of Everything (TOE) (...)
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  20. Caos e ordine: genesi e sviluppo dello stile deduttivo nell’Antica Grecia.Luca Sciortino - 2021 - Informazione Filosofica 3 (2):6-24.
    ABSTRACT (ENG) One of the concerns of Greek philosophy centred on the question of how a manifold and ordered universe arose out of the primitive state of things. From the mythical accounts dating around the seventh century B.C. to the cosmologies of the Classical period in Ancient Greece, many theories have been proposed in order to answer to this question. How these theories differ in positing a “something” that pre-existed the ordered cosmos has been widely discussed. However, scholars have rarely (...)
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  21. Explaining Relativity. Summary of TAU. A unified theory.Andrew Thomas Holster -
    This is a summary presentation of TAU, a theory proposed to explain relativity and unify physics. It is a radical change, because it proposes six dimensions of space, instead of the usual three (normal physics) or nine (string theory). It starts with an alternative foundation for Special Relativity, and leads to a unified theory of physics. It is a realist theory because it is realist about space and time. The TAU concept is briefly introduced here, and its results explained in (...)
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  22. An Ontological Framework for Psychology as a Radically Human Science.Deza Arturo - 2023 - Journal Clinical Psychiatry and Cognitive Psychology 7 (1):1-2.
    A specific soul of the times appears to require a survey of brain research as a study of the psyche and conduct as most settled definition. Two significant developments have emerged freely, one in the core of the American Mental Affiliation itself with Division 5 as of late renamed Quantitative and Subjective Techniques, remembering the General public for Subjective Request for Brain research and the Diary of Subjective Brain research and the other in the European custom with The Yokohama Proclamation (...)
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  23. Are the Barriers that Inhibit Mathematical Models of a Cyclic Universe, which Admits Broken Symmetries, Dark Energy, and an Expanding Multiverse, Illusory?Bhupinder Singh Anand - manuscript
    We argue the thesis that if (1) a physical process is mathematically representable by a Cauchy sequence; and (2) we accept that there can be no infinite processes, i.e., nothing corresponding to infinite sequences, in natural phenomena; then (a) in the absence of an extraneous, evidence-based, proof of `closure' which determines the behaviour of the physical process in the limit as corresponding to a `Cauchy' limit; (b) the physical process must tend to a discontinuity (singularity) which has not been reflected (...)
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  24. Philosophy Unscrambles Dark Matter.Khuram Rafique - 2019
    Dark Matter was not matter at all. It was a theoretical brainteaser that finally philosophy had to unscramble. Scientists of today do not like this idea but philosophy is capable to deal with theoretical conundrums like dark matter. First chapter which is like a combat between mathematical counterintuitive physics and human commonsense, explains that human commonsense equipped with proper philosophical approach is capable to deal with the problem of dark matter. -/- After making a case for philosophical method, this book (...)
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  25. Filolas [por parte] depurado.Dearyall A. - forthcoming - Frôde.
    1st to date [partial yet irrefutable] proof of this creed well-foundedness.
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  26. Modal Logic vs. Ontological Argument.Andrezej Biłat - 2012 - European Journal for Philosophy of Religion 4 (2):179--185.
    The contemporary versions of the ontological argument that originated from Charles Hartshorne are formalized proofs based on unique modal theories. The simplest well-known theory of this kind arises from the b system of modal logic by adding two extra-logical axioms: “If the perfect being exists, then it necessarily exists‘ and “It is possible that the perfect being exists‘. In the paper a similar argument is presented, however none of the systems of modal logic is relevant to it. Its only (...)
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  27. Errors in The Qur'an's Explanation of the Universe and the World.Mücahit Özdoğan - manuscript
    When we look at the Qur'an, we see that wrong information is constantly given about the world and the universe. The Qur'an's description of the world, the solar system and the universe is primitive and absurd when compared with today's knowledge. Therefore, this issue is one of the most important proofs that the Qur'an does not come from God.
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  28. Theory and Metatheory of Atemporal Primacy.Monterey Michael Lucas - manuscript
    This thesis-on macro-ontology, physics, logic, and metalogical principles presents the findings, results, theorems, and metatheory that correct long-standing defects and deficiencies of current standard model (SM) physics and cosmology. It eliminates artificial SM anomalies, paradoxes, logical fallacies, absurdities, and conflicts with reality (and the findings of plasma physics, astronomy, ontology, epistemics, etc.). New theorems and metatheorems eliminate the illogic maintaining distortions of post-Einsteinian physics, its wildly speculative conjectures, and shibboleths (its unrealistic assumptions commonly accepted as facts). In critiques of misperceptions, (...)
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  29.  60
    Theory and Metatheory of Atemporal Primacy.Monterey Michael Lucas - manuscript
    This thesis-on macro-ontology, physics, logic, and metalogical principles presents the findings, results, theorems, and metatheory that correct long-standing defects and deficiencies of current standard model (SM) physics and cosmology. It eliminates artificial SM anomalies, paradoxes, logical fallacies, absurdities, and conflicts with reality (and the findings of plasma physics, astronomy, ontology, epistemics, etc.). New theorems and metatheorems eliminate the illogic maintaining distortions of post-Einsteinian physics, its wildly speculative conjectures, and shibboleths (its unrealistic assumptions commonly accepted as facts). In critiques of misperceptions, (...)
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  30.  59
    Theory and Metatheory of Atemporal Primacy.Monterey Michael Lucas - manuscript
    This thesis-on macro-ontology, physics, logic, and metalogical principles presents the findings, results, theorems, and metatheory that correct long-standing defects and deficiencies of current standard model (SM) physics and cosmology. It eliminates artificial SM anomalies, paradoxes, logical fallacies, absurdities, and conflicts with reality (and the findings of plasma physics, astronomy, ontology, epistemics, etc.). New theorems and metatheorems eliminate the illogic maintaining distortions of post-Einsteinian physics, its wildly speculative conjectures, and shibboleths (its unrealistic assumptions commonly accepted as facts). In critiques of misperceptions, (...)
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  31. A Philosophical Rejection of The Big Bang Theory.Khuram Rafique - 2018 - Realism & Physics.
    Scientific inquiry takes onward course from the point where previous scientists had reached. But philosophical analysis initiates from scratch. Philosophy questions everything and chooses starting point for itself after having ruled out all the unsubstantiated and doubtful elements of the topic under study. Secondly, known realities must make sense. If a theory is officially 'counterintuitive', then either it is mere fiction or at the most; a distorted form of truth. This book's analysis is based on the philosophical principle that knowledge (...)
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  32.  54
    Sufficient Reason and the Causal Argument for Monism.Landon Frim - 2011 - Society and Politics 5 (2):137-158.
    What is the role of the principle of sufficient reason in Baruch Spinoza’s ontological proof for God’s existence? Is this role identical within Spinoza’s early work on method, the Treatise on the Emendation of the Intellect, and his magnum opus, the Ethics? This paper argues affirmatively that the methodology employed within the Ethics is consonant with that method found within the Treatise, and this claim is substantiated through an engagement with the influential works of Don Garrett and Aaron Garrett. It (...)
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  33. Evidence, Proofs, and Derivations.Andrew Aberdein - 2019 - ZDM 51 (5):825-834.
    The traditional view of evidence in mathematics is that evidence is just proof and proof is just derivation. There are good reasons for thinking that this view should be rejected: it misrepresents both historical and current mathematical practice. Nonetheless, evidence, proof, and derivation are closely intertwined. This paper seeks to tease these concepts apart. It emphasizes the role of argumentation as a context shared by evidence, proofs, and derivations. The utility of argumentation theory, in general, and argumentation schemes, in (...)
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  34. Criminal Proof: Fixed or Flexible?Lewis Ross - 2023 - Philosophical Quarterly (4):1-23.
    Should we use the same standard of proof to adjudicate guilt for murder and petty theft? Why not tailor the standard of proof to the crime? These relatively neglected questions cut to the heart of central issues in the philosophy of law. This paper scrutinises whether we ought to use the same standard for all criminal cases, in contrast with a flexible approach that uses different standards for different crimes. I reject consequentialist arguments for a radically flexible standard of proof, (...)
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  35. Cosmology and convention.David Merritt - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 57:41-52.
    I argue that some important elements of the current cosmological model are 'conventionalist’ in the sense defined by Karl Popper. These elements include dark matter and dark energy; both are auxiliary hypotheses that were invoked in response to observations that falsified the standard model as it existed at the time.
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  36.  64
    A Cosmological Neuroscientific Approach to the Soul of Multiverse.Nandor Ludvig - 2022 - Open Journal of Philosophy 12 (3):460-473.
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  37. Cosmological arguments.Graham Oppy - 2009 - Noûs 43 (1):31-48.
    This paper provides a taxonomy of cosmological arguments and givesgeneral reasons for thinking that arguments that belong to a given category do not succeed.
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  38. Proof, Explanation, and Justification in Mathematical Practice.Moti Mizrahi - 2020 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 51 (4):551-568.
    In this paper, I propose that applying the methods of data science to “the problem of whether mathematical explanations occur within mathematics itself” (Mancosu 2018) might be a fruitful way to shed new light on the problem. By carefully selecting indicator words for explanation and justification, and then systematically searching for these indicators in databases of scholarly works in mathematics, we can get an idea of how mathematicians use these terms in mathematical practice and with what frequency. The results of (...)
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  39.  40
    A Cosmological Neuroscientific Definition of God.Nandor Ludvig - 2023 - Open Journal of Philosophy 13 (2):418-434.
    The main objective of this work was to produce a scientifically reasonable definition of God. The rationale was to generate a definition for filling a small part of the spiritual vacuum of the 21st century and thus initiate a new understanding of the Intelligence that permeates the cosmos with mystery, love, order, direction and morals. This resulted in the following definition: “God may be a-humanly incomprehensible-eternal cosmic existence, intimately related to the endlessness of space, to the nature of the deepest (...)
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  40. Cosmological Realism.David Merritt - 2021 - Studies in History and Philosophy of Science Part A 88 (C):193-208.
    I discuss the relevance of the current predicament in cosmology to the debate over scientific realism. I argue that the existence of two, empirically successful but ontologically inconsistent cosmological theories presents difficulties for the realist position.
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  41. Strategy-proof judgment aggregation.Franz Dietrich & Christian List - 2005 - Economics and Philosophy 23 (3):269-300.
    Which rules for aggregating judgments on logically connected propositions are manipulable and which not? In this paper, we introduce a preference-free concept of non-manipulability and contrast it with a preference-theoretic concept of strategy-proofness. We characterize all non-manipulable and all strategy-proof judgment aggregation rules and prove an impossibility theorem similar to the Gibbard--Satterthwaite theorem. We also discuss weaker forms of non-manipulability and strategy-proofness. Comparing two frequently discussed aggregation rules, we show that “conclusion-based voting” is less vulnerable to manipulation than “premise-based voting”, (...)
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  42. On Proof-Theoretic Approaches to the Paradoxes: Problems of Undergeneration and Overgeneration in the Prawitz-Tennant Analysis.Seungrak Choi - 2019 - Dissertation, Korea University
    In this dissertation, we shall investigate whether Tennant's criterion for paradoxicality(TCP) can be a correct criterion for genuine paradoxes and whether the requirement of a normal derivation(RND) can be a proof-theoretic solution to the paradoxes. Tennant’s criterion has two types of counterexamples. The one is a case which raises the problem of overgeneration that TCP makes a paradoxical derivation non-paradoxical. The other is one which generates the problem of undergeneration that TCP renders a non-paradoxical derivation paradoxical. Chapter 2 deals with (...)
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  43. Proof-Theoretic Semantics, a Problem with Negation and Prospects for Modality.Nils Kürbis - 2015 - Journal of Philosophical Logic 44 (6):713-727.
    This paper discusses proof-theoretic semantics, the project of specifying the meanings of the logical constants in terms of rules of inference governing them. I concentrate on Michael Dummett’s and Dag Prawitz’ philosophical motivations and give precise characterisations of the crucial notions of harmony and stability, placed in the context of proving normalisation results in systems of natural deduction. I point out a problem for defining the meaning of negation in this framework and prospects for an account of the meanings of (...)
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  44. Proof Paradoxes and Normic Support: Socializing or Relativizing?Marcello Di Bello - 2020 - Mind 129 (516):1269-1285.
    Smith argues that, unlike other forms of evidence, naked statistical evidence fails to satisfy normic support. This is his solution to the puzzles of statistical evidence in legal proof. This paper focuses on Smith’s claim that DNA evidence in cold-hit cases does not satisfy normic support. I argue that if this claim is correct, virtually no other form of evidence used at trial can satisfy normic support. This is troublesome. I discuss a few ways in which Smith can respond.
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  45. Proof Beyond a Reasonable Doubt: A Balanced Retributive Account.Alec Walen - 2015 - Louisiana Law Review 76 (2):355-446.
    The standard of proof in criminal trials in many liberal democracies is proof beyond a reasonable doubt, the BARD standard. It is customary to describe it, when putting a number on it, as requiring that the fact finder be at least 90% certain, after considering the evidence, that the defendant is guilty. Strikingly, no good reason has yet been offered in defense of using that standard. A number of non-consequentialist justifications that aim to support an even higher standard have been (...)
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  46. Cosmological Arguments.Michael Almeida - 2018 - Cambridge University Press.
    The book discusses the structure, content, and evaluation of cosmological arguments. The introductory chapter investigates features essential to cosmological arguments. Traditionally, cosmological arguments are distinguished by their appeal to change, causation, contingency or objective becoming in the world. But none of these is in fact essential to the formulation of cosmological arguments. Chapters 1-3 present a critical discussion of traditional Thomistic, Kalam, and Leibnizian cosmological arguments, noting various advantages and disadvantages of these approaches. Chapter 4 (...)
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  47. Proof-Theoretic Semantics and Inquisitive Logic.Will Stafford - 2021 - Journal of Philosophical Logic 50 (5):1199-1229.
    Prawitz conjectured that proof-theoretic validity offers a semantics for intuitionistic logic. This conjecture has recently been proven false by Piecha and Schroeder-Heister. This article resolves one of the questions left open by this recent result by showing the extensional alignment of proof-theoretic validity and general inquisitive logic. General inquisitive logic is a generalisation of inquisitive semantics, a uniform semantics for questions and assertions. The paper further defines a notion of quasi-proof-theoretic validity by restricting proof-theoretic validity to allow double negation elimination (...)
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  48. A proof-theoretical view of collective rationality.Daniele Porello - 2013 - In Proceedings of the 23rd International Joint Conference of Artificial Intelligence (IJCAI 2013).
    The impossibility results in judgement aggregation show a clash between fair aggregation procedures and rational collective outcomes. In this paper, we are interested in analysing the notion of rational outcome by proposing a proof-theoretical understanding of collective rationality. In particular, we use the analysis of proofs and inferences provided by linear logic in order to define a fine-grained notion of group reasoning that allows for studying collective rationality with respect to a number of logics. We analyse the well-known paradoxes (...)
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  49. Cosmological Tests of Gravity.Nicolae Sfetcu - manuscript
    The current cosmological models are built based on general relativity. The solutions of the specific equations, Friedmann-Lemaître-Robertson-Walker, allow to model the evolution of the universe starting from the Big Bang. Some of the parameters of the universe have been established by observations. Based on these, and other observational data, the models can be tested. Predictions include the initial abundance of chemical elements formed in a period of nucleosynthesis during the Big Bang period, the subsequent structure of the universe, cosmic (...)
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  50. Short Proofs of Tautologies using the Schema of Equivalence.Matthias Baaz & Richard Zach - 1994 - In Egon Börger, Yuri Gurevich & Karl Meinke (eds.), Computer Science Logic. 7th Workshop, CSL '93, Swansea. Selected Papers. Berlin: Springer. pp. 33-35.
    It is shown how the schema of equivalence can be used to obtain short proofs of tautologies A , where the depth of proofs is linear in the number of variables in A .
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