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  1. Murdoch's Ontological Argument.Cathy Mason & Matt Dougherty - 2023 - European Journal of Philosophy 31 (3):769-784.
    Anselm’s ontological argument is an argument for the existence of God. This paper presents Iris Murdoch’s ontological argument for the existence of the Good. It discusses her interpretation of Anselm’s argument, her distinctive appropriation of it, as well as some of the merits of her version of the argument. In doing so, it also shows how the argument integrates some key Murdochian ideas: morality’s wide scope, the basicness of vision to morality, moral realism, and Platonism.
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  • (3 other versions)Ontological arguments.Graham Oppy - 2014 - Stanford Encyclopedia of Philosophy.
    Latest version of my SEP entry on ontological arguments, which first appeared in 1996. General discussion of ontological arguments. Includes a brief historical overview, a taxonomy of different kinds of ontological arguments, a brief survey of objections to the different kinds of ontological arguments identified in the taxonomy, and more extended discussions of Anselm's ontological argument (Proslogion 2), Godel's ontological argument, and Plantinga's ontological argument.
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  • (2 other versions)Wittgensteinian Fideism.Kai Nielsen - 1967 - Philosophy 42 (161):191-209.
    Wittgenstein did not write on the philosophy of religion. But certain strands of his later thought readily lend themselves to what I call Wittgensteinian Fideism. There is no text that I can turn to for an extended statement of this position, but certain remarks made by Winch, Hughes, Malcolm, Geach, Cavell, Cameron and Coburn can either serve as partial statements of this position, or can be easily used in service of such a statement. Some of their contentions will serve as (...)
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  • Logical Pantheism.István Aranyosi - 2022 - Philosophy Compass 17 (7):e12857.
    Philosophy Compass, Volume 17, Issue 7, July 2022.
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  • The one fatal flaw in Anselm's argument.Peter Millican - 2004 - Mind 113 (451):437-476.
    Anselm's Ontological Argument fails, but not for any of the various reasons commonly adduced. In particular, its failure has nothing to do with violating deep Kantian principles by treating ‘exists’ as a predicate or making reference to ‘Meinongian’ entities. Its one fatal flaw, so far from being metaphysically deep, is in fact logically shallow, deriving from a subtle scope ambiguity in Anselm's key phrase. If we avoid this ambiguity, and the indeterminacy of reference to which it gives rise, then his (...)
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  • The actual challenge for the ontological argument.Marco Hausmann - 2022 - Analysis 82 (2):222-230.
    Many versions of the ontological argument have two shortcomings: First, despite the arguments put forward, for example, by Hugh Chandler and Nathan Salmon, they assume that S5 is the correct modal logic for metaphysical modality. Second, despite the classical arguments put forward, for example, by David Hume and Immanuel Kant or the more recent arguments put forward, for example, by John Findlay and Richard Swinburne, they assume that necessary existence is possible. The aim of the paper is to develop an (...)
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  • Freedom, God, and worlds.Michael J. Almeida - 2012 - Oxford: Oxford University Press.
    Michael J. Almeida presents a bold new defence of the existence of God. He argues that entrenched principles in philosophical theology which have served as basic assumptions in apriori, atheological arguments are in fact philosophical dogmas. Almeida argues that not only are such principles false - they are necessarily false.
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  • Formal reconstructions of St. Anselm’s ontological argument.Esther Ramharter & Günther Eder - 2015 - Synthese 192 (9):2795-2825.
    In this paper, we discuss formal reconstructions of Anselm’s ontological argument. We first present a number of requirements that any successful reconstruction should meet. We then offer a detailed preparatory study of the basic concepts involved in Anselm’s argument. Next, we present our own reconstructions—one in modal logic and one in classical logic—and compare them with each other and with existing reconstructions from the reviewed literature. Finally, we try to show why and how one can gain a better understanding of (...)
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  • Monotonic and Non-monotonic Embeddings of Anselm’s Proof.Jacob Archambault - 2017 - Logica Universalis 11 (1):121-138.
    A consequence relation \ is monotonic iff for premise sets \ and conclusion \, if \, \, then \; and non-monotonic if this fails in some instance. More plainly, a consequence relation is monotonic when whatever is entailed by a premise set remains entailed by any of its supersets. From the High Middle Ages through the Early Modern period, consequence in theology is assumed to be monotonic. Concomitantly, to the degree the argument formulated by Anselm at Proslogion 2–4 is taken (...)
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  • How useful is the concept of the ‘harm threshold’ in reproductive ethics and law?Anna Smajdor - 2014 - Theoretical Medicine and Bioethics 35 (5):321-336.
    In his book Reasons and Persons, Derek Parfit suggests that people are not harmed by being conceived with a disease or disability if they could not have existed without suffering that particular condition. He nevertheless contends that entities can be harmed if the suffering they experience is sufficiently severe. By implication, there is a threshold which divides harmful from non-harmful conceptions. The assumption that such a threshold exists has come to play a part in UK policy making. I argue that (...)
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  • The Philosophical Investigations in Philosophy of Religion.Thomas D. Carroll - 2024 - JOLMA 5 (Special Issue):37-64.
    Despite overlooking religious topics, Wittgenstein’s Philosophical Investigations (PI) has had a large impact in philosophy of religion. This article surveys that influence and the reasons for it. In what follows, I first describe the reception of certain key concepts from the PI in philosophy of religion. Second, I examine a few scattered remarks on religious topics in the PI. Third, I consider the relevance of the PI for contemporary philosophy of religion. I argue that the dialogical nature of the PI, (...)
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  • Millican on the Ontological Argument.Yujin Nagasawa - 2007 - Mind 116 (464):1027-1040.
    Peter Millican (2004) provides a novel and elaborate objection to Anselm's ontological argument. Millican thinks that his objection is more powerful than any other because it does not dispute contentious 'deep philosophical theories' that underlie the argument. Instead, it tries to reveal the 'fatal flaw' of the argument by considering its 'shallow logical details'. Millican's objection is based on his interpretation of the argument, according to which Anselm relies on what I call the 'principle of the superiority of existence' (PSE). (...)
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  • Conceivability and Possibility.Joshua Spencer - 2018 - In Graham Oppy, The Ontological Argument (Cambridge Classic Philosophical Arguments Series). Cambridge, UK: Cambridge University Press. pp. 214-237.
    Some people might be tempted by modal ontological arguments from the possibility that God exists to the conclusion that God in fact exists. They might also be tempted to support the claim that possibly God exists by appealing to the conceivability of God’s existence. In this chapter, I introduce three constraints on an adequate theory of philosophical conceivability. I then consider and develop both imagination-based accounts of conceivability and conceptual coherence-based accounts of conceivability. Finally, I return to the modal ontological (...)
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  • (1 other version)Recent Work on Traditional Arguments for Theism I.Chad A. McIntosh - 2022 - Philosophy Compass 17 (7):e12854.
    Philosophy Compass, Volume 17, Issue 7, July 2022.
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  • God and Cogito: Semen Frank on the ontological argument.Paweł Rojek - 2019 - Studies in East European Thought 71 (2):119-140.
    Semen Frank (1877–1950) was one of the first and most ardent advocates of the ontological argument in the twentieth century. He proposed an original interpretation of the ontological argument based on its analogy to Descartes’ Cogito. Frank believed that it is possible to develop Cogito ergo sum into Cogito ergo est ens absolutum. In this paper, I analyze his version of the ontological argument. First, I propose a simple reconstruction of his reasoning, paying attention to its hidden premise. Second, departing (...)
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  • Modal Ontolojik Argümanlar.Musa Yanık - 2024 - Oncul Analitik Felsefe Dergisi 1.
    Modal ontolojik argüman, Tanrı’nın varlığını sadece bilfiil gerçek olan bu dünyada değil, bütün mümkün dünyalarda göstermeye yönelik bir argümandır. Anselm’in (1033-1109) Proslogion adlı eserinin 3. bölümünde “kendisinden daha büyüğü düşünülemeyen” şeklinde tanımlanan; Tanrı’nın var olmamasının da düşünülemeyeceğini, bu yüzden de varolmamasının imkansızlığı üzerinde kurulu yeni bir argüman bulunduğunu öne süren bazı araştırmacılar, bu argümanı mümkün dünyalar semantiği yardımıyla formüle edip, “modal ontolojik argüman” şeklinde adlandırmışlardır. Çok farklı şekillerde formüle edilmiş bu argüman kabaca Tanrı’nın mümkünse zorunlu olması, dolayısıyla bilfiil gerçek olan (...)
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  • The Inconceivable Popularity of Conceivability Arguments.Douglas I. Campbell, Jack Copeland & Zhuo-Ran Deng - 2017 - Philosophical Quarterly 67 (267):223-240.
    Famous examples of conceivability arguments include (i) Descartes’ argument for mind-body dualism, (ii) Kripke's ‘modal argument’ against psychophysical identity theory, (iii) Chalmers’ ‘zombie argument’ against materialism, and (iv) modal versions of the ontological argument for theism. In this paper, we show that for any such conceivability argument, C, there is a corresponding ‘mirror argument’, M. M is deductively valid and has a conclusion that contradicts C's conclusion. Hence, a proponent of C—henceforth, a ‘conceivabilist’—can be warranted in holding that C's premises (...)
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  • The Modal Ontological Argument Meets Modal Fictionalism.Ted Parent - 2016 - Analytic Philosophy 57 (4):338-352.
    This paper attacks the modal ontological argument, as advocated by Plantinga among others. Whereas other criticisms in the literature reject one of its premises, the present line is that the argument is invalid. This becomes apparent once we run the argument assuming fictionalism about possible worlds. Broadly speaking, the problem is that if one defines “x” as something that exists, it does not follow that there is anything satisfying the definition. Yet unlike non-modal ontological arguments, the modal argument commits this (...)
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  • The Problem of Evil and the Grammar of Goodness.Eric Wiland - 2018 - Religions 9.
    Here I consider the two most venerated arguments about the existence of God: the Ontological Argument and the Argument from Evil. The Ontological Argument purports to show that God’s nature guarantees that God exists. The Argument from Evil purports to show that God’s nature, combined with some plausible facts about the way the world is, guarantees (or is very compelling grounds for thinking) that God does not exist. Obviously, both arguments cannot be sound. But I argue here that they are (...)
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  • Kant and Frege on Existence and the Ontological Argument.Michael E. Cuffaro - 2012 - History of Philosophy Quarterly 29 (4):337-354.
    I argue that Kant's and Frege's refutations of the ontological argument are more similar than has generally been acknowledged. As I clarify, for both Kant and Frege, to say that something exists is to assert of a concept that it is instantiated. With such an assertion one expresses that there is a particular relation between the instantiating object and a rational subject - a particular mode of presentation for the object in question. By its very nature such a relation cannot (...)
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  • The antinomy of divine necessity.David E. Schrader - 1991 - International Journal for Philosophy of Religion 30 (1):45 - 59.
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  • From Brain to Cosmos (Preliminary Revised Edition).Mark Sharlow - manuscript
    This is a draft for a revised edition of Mark Sharlow's book "From Brain to Cosmos." It includes most of the material from the first edition, two shorter pieces pertaining to the book, and a detailed new introduction.
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  • Interpreting Anselm as logician.Howard L. Dazeley & Wolfgang L. Gombocz - 1979 - Synthese 40 (1):71 - 96.
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  • An impossible proof of God.Robert E. Pezet - 2018 - International Journal for Philosophy of Religion 83 (1):57-83.
    A new version of the ontological argument for the existence of God is outlined and examined. After giving a brief account of some traditional ontological arguments for the existence of God, where their defects are identified, it is explained how this new argument is built upon their foundations and surmounts their defects. In particular, this version uses the resources of impossible worlds to plug the common escape route from standard modal versions of the ontological argument. After outlining the nature of (...)
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  • How is the question 'is existence a predicate?' Relevant to the ontological argument?J. William Forgie - 2008 - International Journal for Philosophy of Religion 64 (3):117 - 133.
    It is often said that the ontological argument fails because it wrongly treats existence as a first-level property or predicate. This has proved a controversial claim, and efforts to evaluate it are complicated by the fact that the words ‘existence is not a property/predicate’ have been used by philosophers to make at least three different negative claims: (a) one about a first-level phenomenon possessed by objects like horses, stones, you and me; (b) another about the logical form of assertions of (...)
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  • St. Anselm's Ontological Argument as Expressive: A Wittgensteinian Reconstruction.Scott Aikin & Michael Hodges - 2013 - Philosophical Investigations 37 (2):130-151.
    We offer a reading of Anselm's Ontological Argument inspired by Wittgenstein which focuses on the fact that the “argument” occurs in a prayer addressed to God, making it a strange argument since as a prayer it seems to presuppose its conclusion. We reconstruct the argument as expressive. Within the religious perspective, the issues are to be focused on the right object not to present an argument for the existence of God. While this sort of reading lets us understand much about (...)
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  • Anselm’s Metaphysics of Nonbeing.Dale Jacquette - 2012 - European Journal for Philosophy of Religion 4 (4):27--48.
    In his eleventh century dialogue De Casu Diaboli, Anselm seeks to avoid the problem of evil for theodicy and explain the fall of Satan as attributable to Satan’s own self-creating wrongful will. It is something, as such, for which God as Satan’s divine Creator cannot be held causally or morally responsible. The distinctions on which Anselm relies presuppose an interesting metaphysics of nonbeing, and of the nonbeing of evil in particular as a privation of good, worthy of critical philosophical investigation (...)
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  • Argumentando Dios desde la filosofía analítica: Cracovia, Oxford y los comienzos de una nueva disciplina.Alejandro Pérez - 2017 - Quarentibus 9:68-87.
    El presente artículo introduce el lector a la filosofía analítica de la religión desde un punto de vista histórico y haciendo énfasis en su evolución. El objetivo es doble: primero dar a conocer una nueva disciplina que se ha desarrollado de manera notoria dentro del habla inglesa pero que ha sido ignorada dentro de la filosofía de habla hispana; segundo, comprender su nacimiento y algunas de sus principales características.
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  • Modal Ontological Arguments.Gregory R. P. Stacey - 2023 - Philosophy Compass 18 (8):e12938.
    Inspired by the third chapter of Anselm's Proslogion, twentieth century philosophers including Charles Hartshorne and Alvin Plantinga developed “modal” ontological arguments for the existence of God. Such arguments use modal logic to infer God's existence from the premises that (i) God's existence is possible and (ii) if God exists, He exists necessarily. Like other ontological arguments, modal arguments have won few converts to theism; many commentators consider them question‐begging or liable to parody. This article details how recent attempts to defend (...)
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  • Professor Malcolm on God.Robert C. Coburn - 1963 - Australasian Journal of Philosophy 41 (2):143 – 162.
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  • Conceivability, intensionality, and the logic of Anselm's modal argument for the existence of God.Dale Jacquette - 1997 - International Journal for Philosophy of Religion 42 (3):163-173.
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  • The Ontological Argument.James Cargile - 1975 - Philosophy 50 (191):69 - 80.
    There are several styles of ontological argument. Here are examples of the first style. God has all perfections. Existence is a perfection. ∴God exists. All perfect beings exist. God is a perfect being. ∴God exists. God couldn't be improved. A being that doesn't exist could be improved . ∴God exists.
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  • Against an Updated Ontological Argument.Eric Yang - 2017 - Res Philosophica 95 (1):179-187.
    This paper examines a recent attempt at updating Anselm’s ontological argument by employing the notion of mediated and unmediated causal powers. After presenting the updated argument and the underlying metaphysical framework of causal powers that is utilized in the argument, I show that some of the key assumptions can be rejected. Once we closely examine some of the assumptions, it will also be evident that the updated version in some ways collapses back to Anselm’s original version and so is subject (...)
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  • (2 other versions)بررسی تحلیلی تأثیر و جایگاه هیوم در نظام فلسفی دی. زد. فیلیپس.سید مصطفی شهرآیینی, جلال پیکانی & فریده لازمی - 2017 - دانشگاه امام صادق علیه السلام 15 (1):115-129.
    یکی از داغ‌ترین مباحث فلسفۀ هیوم اعتقاد یا عدم اعتقاد او به وجود خداست. در این مقاله، کوشیده‌ایم، با بررسی آثار خود هیوم و استخراج آرایش در مورد وجود خدا، سازگاری درونی نظام فلسفی او در این باب را بررسی کنیم. برای این منظور، با نگاهی تحلیلی، تطابق برچسب‌های الصاق‌شده به او را با دلالت برآمده از آثارش تطبیق کرده‌ایم. این پژوهش نشان می‌دهد که اطلاق عنوان ملحد یا لاادری‌گرا بر هیوم خالی از دشواری یا اشکال نیست. همچنین یافته‌های این (...)
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  • A Posteriori Anselmianism.Michael J. Almeida - 2017 - Topoi 36 (4):599-607.
    I argue that Anselmians ought to abandon traditional Anselmianism in favor of Moderate Anselmianism. Moderate Anselmianism advances the view that a being x = God iff for every essential property P of x, it is secondarily necessary that x has P, for most essential properties of x, it is not primarily necessary that x has P and the essential properties of x include omnipotence, omniscience, perfect goodness and necessary existence. Traditional Anselmians have no cogent response to most a priori atheological (...)
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  • Which Systems Are Conscious?Mark F. Sharlow - manuscript
    This document consists primarily of an excerpt (chapter 14) from the author’s book From Brain to Cosmos. In that excerpt, the author uses the concept of subjective fact developed earlier in the book to address a question about consciousness: which physical systems (organisms or machines) are conscious? (This document depends heavily upon the concept of subjective fact developed in From Brain to Cosmos. Readers unfamiliar with that concept are strongly advised to read chapters 2 and 3 of From Brain to (...)
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  • Enciclopédia de Termos Lógico-Filosóficos.João Miguel Biscaia Branquinho, Desidério Murcho & Nelson Gonçalves Gomes (eds.) - 2006 - São Paulo, SP, Brasil: Martins Fontes.
    Esta enciclopédia abrange, de uma forma introdutória mas desejavelmente rigorosa, uma diversidade de conceitos, temas, problemas, argumentos e teorias localizados numa área relativamente recente de estudos, os quais tem sido habitual qualificar como «estudos lógico-filosóficos». De uma forma apropriadamente genérica, e apesar de o território teórico abrangido ser extenso e de contornos por vezes difusos, podemos dizer que na área se investiga um conjunto de questões fundamentais acerca da natureza da linguagem, da mente, da cognição e do raciocínio humanos, bem (...)
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  • El sistema de Teología natural de Christian Wolff.Ignacio Garay - 2024 - Anales Del Seminario de Historia de la Filosofía 41 (1):67-78.
    Las demostraciones de la existencia de Dios de Christian Wolff se encuentran principalmente en su _Theologia naturalis_. A pesar de que esta obra contiene en cada una de sus dos partes un argumento distinto, Wolff la llama “sistema de Teología natural”. Por ello, puede entenderse que las dos demostraciones no son totalmente independientes, sino que comparten una estructura argumental similar, aunque Wolff no lo mencione expresamente. En este trabajo me propongo mostrar: 1) que aquello que las dos pruebas tienen en (...)
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  • An Introduction to Subjective Facts: Readings in From Brain to Cosmos.Mark F. Sharlow - manuscript
    This collection serves as an introduction to the concept of subjective fact, which plays a central role in some of the author's philosophical writings. The collection contains two book chapters and a paper. The first chapter (Chapter 2 of From Brain to Cosmos) begins with an informal characterization of the concept of subjective fact. Then it fleshes out this concept with examples, gives a more precise characterization, and addresses some potential weaknesses of the concept. This chapter shows how subjective fact (...)
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  • On the PROVER9 Ontological Argument.T. Parent - 2015 - Philosophia 43 (2):475-483.
    Oppenheimer & Zalta have re-formulated their non-modal version of the ontological argument, with the help of PROVER9, an automated reasoning engine. The authors end up rejecting the new argument; however, the theist has a rejoinder worth considering. But after presenting the rejoinder, I highlight that the conceivability of the being does not imply its possibility. One lesson is that even non-modal ontological arguments must engage modal matters concerning God. Another lesson is that if PROVER9 is able to derive a conclusion (...)
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  • Conscious Subjects in Detail: Readings in From Brain to Cosmos.Mark F. Sharlow - manuscript
    This document consists primarily of excerpts (chapters 5 and 10-12) from the author’s book From Brain to Cosmos. These excerpts address several traditional problems about the histories of conscious subjects, using the concept of subjective fact that the author developed earlier in the book. Topics include the persistence of conscious subjects through time, the unity or disunity of the self, and the possibility of splitting conscious subjects. (These excerpts depend heavily upon the author’s concept of subjective fact as developed in (...)
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  • Time and Subjective Facts: Readings in From Brain to Cosmos.Mark F. Sharlow - manuscript
    This document consists primarily of excerpts (chapters 5 and 7-9) from the author’s book From Brain to Cosmos. These excerpts address some traditional philosophical problems about temporal flux and identity through time, using the concept of subjective fact that the author developed earlier in the book. (Readers unfamiliar with that concept are strongly advised to read chapters 2 and 3 of From Brain to Cosmos first. See the last page of this document for details on how to obtain those chapters.).
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  • Subjective Facts and Other Minds: Readings in From Brain to Cosmos.Mark F. Sharlow - manuscript
    This document consists primarily of an excerpt (chapter 6) from the author’s book From Brain to Cosmos. That excerpt presents an analysis of the problem of knowledge of other minds, using the concept of subjective fact that the author developed earlier in the book. (Readers unfamiliar with that concept are strongly advised to read chapters 2 and 3 of From Brain to Cosmos first. See the last page of this document for details on how to obtain those chapters.).
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  • Knowledge of How Things Seem to You: Readings in From Brain to Cosmos.Mark F. Sharlow - manuscript
    This document consists primarily of an excerpt (chapter 4) from the author’s book From Brain to Cosmos. That excerpt presents a study of a specific problem about knowledge: the logical justification of one’s knowledge of the immediate past. (This document depends heavily upon the concept of subjective fact that the author developed in chapters 2 and 3 of From Brain to Cosmos. Readers unfamiliar with that concept are strongly advised to read those chapters first. See the last page of this (...)
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  • Personal Identity and Subjective Time: Readings in From Brain to Cosmos.Mark F. Sharlow - manuscript
    This document consists primarily of an excerpt (chapter 5) from the author’s book From Brain to Cosmos. That excerpt presents an analysis of personal identity through time, using the concept of subjective fact that the author developed earlier in the book. (Readers unfamiliar with that concept are strongly advised to read chapters 2 and 3 of From Brain to Cosmos first. See the last page of this document for details on how to obtain those chapters.).
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  • Beyond Physicalism and Idealism: Readings in From Brain to Cosmos.Mark F. Sharlow - manuscript
    This document consists primarily of an excerpt (chapter 13) from the author’s book From Brain to Cosmos. In that excerpt, the author presents a study of the notion of truth using the concept of subjective fact developed earlier in the book. The author argues that mind-body materialism is compatible with certain forms of metaphysical idealism. The chapter closes with some remarks on relativism with regard to truth. (This document depends heavily upon the concept of subjective fact developed in From Brain (...)
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  • Relevantnost Kantovog prigovora ontološkim argumentima i Avicenino istraživanje postojanja kao alternativnog utemeljenja.Ayşenur Ünügür Tabur - 2022 - European Journal of Analytic Philosophy 18 (2):5-27.
    U ovom radu analizirat će se tri najistaknutije formulacije ontološkog argumenta, uključujući klasični argument prema kojemu je postojanje jedno od savršenstava, modalna verzija argumenta Normana Malcoma prema kojemu savršenstvo nije postojanje, već nužno postojanje, te modalna verzija argumenta koju nudi Alvin Plantinga koja se poziva na semantiku mogućih svjetova. Prema Kantovom prigovoru, ontološki argument pretpostavlja da je postojanje predikat koji dodaje još jedno savršenstvo pojmu Boga i time implicira problem referencije između stvarnog predmeta i njegovog pojma ili tautološki povlači da (...)
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  • Anselm, Truth, and Necessary Being.William H. Baumer - 1962 - Philosophy 37 (141):257 - 258.
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  • The Last Argument of Plato's Phaedo. II.D. O'Brien - 1968 - Classical Quarterly 18 (01):95-.
    At the end of the last section we anticipated the concluding page of the argument, where Plato makes the soul imperishable, as well as not-dead, and where he describes finally the soul's withdrawal at the approach of death. For the conclusion that the soul never admits death, and is in that sense was probably in Plato's eyes the heart of the argument. The final page, we shall argue, will have seemed to Plato in some ways less important, and even something (...)
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  • Mechanized analysis of Anselm’s modal ontological argument.John Rushby - 2020 - International Journal for Philosophy of Religion 89 (2):135-152.
    We use a mechanized verification system, PVS, to examine the argument from Anselm’s Proslogion Chapter III, the so-called “Modal Ontological Argument.” We consider several published formalizations for the argument and show they are all essentially similar. Furthermore, we show that the argument is trivial once the modal axioms are taken into account. This work is an illustration of Computational Philiosophy and, in addition, shows how these methods can help detect and rectify errors in modal reasoning.
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