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41. Philosophia Christi: Volume > 19 > Issue: 2
R. Scott Smith Craig, Anti-Platonism, and Objective Morality
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Though William Lane Craig believes his anti-Platonism is compatible with objective, Christian morality, I argue that it is not. First, I survey the main contours of his nominalism. Second, I discuss how he sees those points in relation to objective, Christian morality. Then, I argue that his view cannot sustain the qualitative aspects of moral virtues or principles, or even human beings. Moreover, Craig’s view loses any connection between those morals and humans, thereby doing great violence to objective, Christian morals. Finally, I sketch two advantages of a Platonic realism in regards to Christian morals.
... doctrine that uncreated, metaphysically abstract objects (AOs) exist, fatally ... on the Problem of God and Abstract Objects (New York ... is true, then uncreated, metaphysically abstract objects (AOs ...
42. Studia Neoaristotelica: Volume > 12 > Issue: 2
William F. Vallicella Van Inwagen on Fiction, Existence, Properties, Particulars, and Method
... are abstract objects, this seems clearly to be entailed by what he does ... ] criticism”.⁴ Indeed, that pure ficta are abstract objects is required ... cannot be concrete and are therefore abstract objects. But all abstract objects ...
43. International Studies in Philosophy: Volume > 24 > Issue: 3
Harold T. Hodes Abstract Objects
...Abstract Objects ... all sides of literary-historical debate. L. B. CEBIK BOB HALE, Abstract Objects ... way he has interesting things to say about other abstract objects, especially ...
44. Philosophia Christi: Volume > 15 > Issue: 2
William Lane Craig Propositional Truth—Who Needs It?
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On a deflationary view of truth the truth predicate does not ascribe a property of any explanatory significance to statements. The truth predicate is merely a device of semantic ascent, by means of which we talk about a statement rather than assert that statement. Such a device is useful for blind truth ascriptions to statements that we cannot explicitly state. Such a view is compatible with truth as correspondence and so does not imply postmodern antirealism, since statements directly asserted are descriptive of the world as it actually is. Getting rid of propositional truth has the advantage of ridding us of abstract truth-bearers that are uncreated by God.
..., abstract objects, such as mathematical objects, properties, and ... want to rid his ontology of such abstract objects. 1 One of the ... realm of abstract objects. For a defense of divine conceptualism ...
45. Grazer Philosophische Studien: Volume > 60
Dirk Greimann "No Entity Without Identity":: A Reductionist Dogma?
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Quine has persuasively shown that the empiricist "dogma of reductionism", which is the belief that each meaningfiil statement of science can be reduced to statements about immediate sense experience, must be abandoned. However, Quine's methodology of ontology seems to incorporate an analogous physicalistic dogma according to which the identity conditions of each scientifically respectable sort of abstract objects can be reduced to the identity conditions of physical objects. This paper aims to show that the latter dogma must be abandoned, too. In section 1, the reductionist methodology underlying Quine's prescript "No Entity without Identity" is reconstructed in detail. In section 2 and 3, this methodology is criticized on the ground that Quine's individuation of sets offendsagainst the reductive Criteria of adequacy for individuations that are presupposed by his criticism of the ontological recognition of intensional objects. Finally, in section 4 an alternative holistic conception of individuation is outlined.
... of each scientifically respectable sort of abstract objects can be reduced ... scientifically respectable sort of abstract objects can be reduced to the ... illusion to think that there is any sort of abstract objects whose ...
46. Philosophia Christi: Volume > 13 > Issue: 2
Keith Yandell God and Propositions
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If there are abstract objects, they necessarily exist. The majority view among contemporary philosophers of religion who are theists is that God also necessarily exists. Nonetheless, that God has necessary existence has not been shown to be true, or even (informally) consistent. It seems consistent—at least is does not seem (informally) inconsistent—but neither does its denial. Arguments that necessary existence is a perfection, and God has all perfections, assume that Necessitarian Theism is true, and hence consistent. Thus they do not provide reason to believe that Necessitarian Theism is true. Nonnecessitarian (“plain”) theism is on a philosophical par with Necessitarian Theism and can accommodate abstract objects all the while avoiding theological and philosophical refutation.
...If there are abstract objects, they necessarily exist. The majority view among ... Necessitarian Theism and can accommodate abstract objects all the while avoiding theological ... –Madison The overall question at hand is how God is related to abstract objects ...
47. The Philosophical Review: Volume > 109 > Issue: 3
Mark Eli Kalderon Realistic Rationalism
... “realism” of the title conveys the author’s conviction that there are abstract objects ... priori knowledge of abstract objects (of which mathematical knowledge is an apparent ... the second horn of Benacerraf’s dilemma is:(P1) Abstract objects are acausal.(P2 ...
48. Idealistic Studies: Volume > 46 > Issue: 3
Nicholas Rescher The Idealistic Metaphysics of Abstract Objects
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It is maintained that abstract objects are literally entia rationis: their being lies in being conceived and their nature is inextricably entangled with the operation of minds.
...The Idealistic Metaphysics of Abstract Objects ... It is maintained that abstract objects are literally entia rationis: their ... THE IDEALISTIC METAPHYSICS OF ABSTRACT OBJECTS ...
49. Der 16. Weltkongress für Philosophie: Volume > 3
Aleksandar Dejkov The Dialectics of the Abstract and the Concrete and the Problem of the Universals
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In the paper two types of the theory of abstraction are examined. One of them is based on the method of inclusion and exclusion of the abstractions. The other one - on the method of ascending from the abstract to the concrete. Both of the theories have constituted the ground for constructing of two logics: formal and dialectical. Neither one nor the other have an independant meaning in itself novadays.
..., respectively? The former believe that the abstract objects should not be introduced ... .) through the use of semiotic means in a capacity of representers, abstract objects ... do not specially consider the dependence of the abstract objects on the ...
50. Thought: A Journal of Philosophy: Volume > 1 > Issue: 3
Roy T Cook Impure Sets Are Not Located: A Fregean Argument
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It is sometimes suggested that impure sets are spatially co-located with their members (and hence are located in space). Sets, however, are in important respects like numbers. In particular, sets are connected to concepts in much the same manner as numbers are connected to concepts—in both cases, they are fundamentally abstracts of (or corresponding to) concepts. This parallel between the structure of sets and the structure of numbers suggests that the metaphysics of sets and the metaphysics of numbers should parallel each other in relevant ways. This entails, in turn, that impure sets are not co-located with their members (nor are they located in space).
... are sets whose members are not abstract objects. 1 Thus: {Luke ... —assumptions regarding the nature of abstract objects, however, it is quite easy to ... abstract objects, including both cardinal numbers and sets, are abstracts of ...
51. Philosophia Christi: Volume > 19 > Issue: 2
William Lane Craig Robust Ethics: The Metaphysics and Epistemology of Godless Normative Realism
... the challenge posed to divine aseity by abstract objects ... moral values and duties to be identical to certain transcendent abstract objects ... immaterial, causally effete, abstract objects, like numbers, sets, and other ...
52. Studia Neoaristotelica: Volume > 4 > Issue: 1
Paul E. Oppenheimer, Edward N. Zalta Reflections on the Logic of the Ontological Argument: A Journal of Analytic Scholasticism
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The authors evaluate the soundness of the ontological argument they developed in their 1991 paper. They focus on Anselm’s first premise, which asserts that there is a conceivable thing than which nothing greater can be conceived. After casting doubt on the argument Anselm uses in support of this premise, the authors show that there is a formal reading on which it is true. Such a reading can be used in a sound reconstruction of the argument. After this reconstruction is developed in precise detail, the authors show that the conclusion, a reading of the claim “God exists”, does not quite achieve the end Anselm desired.
... follows appeals to the theory of abstract objects (Zalta 1983) and ... the context of the theory of abstract objects, the intension of ... principle for abstract objects and the following identity principle for abstract ...
53. Philosophia Christi: Volume > 17 > Issue: 2
J. Thomas Bridges A Moderate-Realist Perspective on God and Abstract Objects
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On the horizon between metaphysics and philosophy of religion stands the question of God’s relation to various abstracta. Like other contemporary philosophical debates, this one has resulted in a broadly dichotomous stalemate between Platonic realists on the one hand and varieties of nominalism/antirealism on the other. In this paper, I offer Aquinas’s moderaterealism as a true middle ground between realist or nominalist solutions. What Platonists take to be abstracta are actually the result of intellect’s abstractive work on sensible objects. Further, the Christian philosopher should be concerned as much, if not more so, by nominalism than by Platonism. Given the problems associated with either Platonist or nominalist solutions, one should be open to a Thomistic moderate-realist solution to the problem of God and abstracta.
...A Moderate-Realist Perspective on God and Abstract Objects ... Moderate-Realist Perspective on God and Abstract Objects ... of God and abstract objects will refer to Thomas Aquinas or to ...
54. The Journal of Philosophy: Volume > 89 > Issue: 3
Crispin Wright, Bob Hale Nominalism and the Contingency of Abstract Objects
...Nominalism and the Contingency of Abstract Objects ... OF ABSTRACT OBJECTS* r • 1 RADITIONAL mathematical nominalism ... singular reference to abstract objects. To whatever extent a theory ...
55. Philosophical Topics: Volume > 21 > Issue: 2
Gideon Rosen The Refutation of Nominalism (?)
... ambitious moments) that the existence of abstract objects may be shown in certain cases ... revise his view—to embrace abstract objects—just by introducing him to certain ... there must be abstract objects over and above the concreta he accepts. This is a ...
56. Philosophia Christi: Volume > 17 > Issue: 2
Peter van Inwagen Did God Create Shapes?
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I defend the thesis that at least some abstract objects are uncreated. I choose to discuss a rather neglected category of abstract object, shapes. I choose to discuss shapes because I think the members of my audience may have fewer metaphysical preconceptions about shapes than about, e.g., numbers or propositions or attributes.
...I defend the thesis that at least some abstract objects are uncreated. I choose ... am going to discuss abstract objects. In particular, I am going to discuss ... Abstract: I defend the thesis that at least some abstract objects are uncreated. I ...
57. ProtoSociology: Volume > 30
Jacob Beck Sense, Mentalese, and Ontology
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Modes of presentation are often posited to accommodate Frege’s puzzle. Philosophers differ, however, in whether they follow Frege in identifying modes of presentation with Fregean senses, or instead take them to be formally individuated symbols of “Mentalese”. Building on Fodor (1990; 1998), Margolis and Laurence (2007) defend the latter view by arguing that the mind-independence of Fregean senses renders them ontologically suspect in a way that Mentalese symbols are not. This paper shows how Fregeans can withstand this objection. Along the way, a clearer understanding emerges of what senses must be to serve as an ontologically benign alternative to symbols of Mentalese.
... senses to a higher standard than we hold other abstract objects ... any abstract objects whatsoever. In fact, the commitment to ... abstract objects is closer to home than reductivists typically ...
58. Philosophia Christi: Volume > 12 > Issue: 1
Walter Schultz Toward a Realist Modal Structuralism: A Christian Philosophy of Mathematics
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The aim of this paper is to propose a philosophy of mathematics that takes structures to be basic. It distinguishes between mathematical structures and real structures. Mathematical structures are the propositional content either of consistent axiom systems or (algebraic or differential) equations. Thus, mathematical structures are logically possible structures. Real structures—and the mathematical structures that represent them—are related essentially to God’s plan in Christ and ultimately grounded in God’s awareness of his ability. However, not every mathematical structure has a correlative real structure. Mathematical structures are either true or fictional, yet all are possible.
... structures. (4) Abstract objects depend on God’s awareness of his ... and antirealists over the status of abstract objects in general. So, there are ... conceptualism regarding the existence and nature of abstract objects in ...
59. The Review of Metaphysics: Volume > 45 > Issue: 3
Mind: Vol. 100, No. 4, October 1991: The Metaphysics of Concepts (Christopher Peacocke)
... is it possible for such abstract objects to be featured in the ... treated as a special case of the general problem of how abstract objects ... thought, and for the theory of abstract objects in general ...
60. The Review of Metaphysics: Volume > 49 > Issue: 3
THE JOURNAL OF PHILOSOPHY, Vol. 92, No. 10, October 1995
...The Metaphysics of Abstract Objects, E. J. LOWEThe paper begins with an ... -sals are abstract objects in the first two senses and their existence can be defended ... abstract objects. Such a principle is not just consistent with but required (on ...