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1. Philosophia Christi: Volume > 13 > Issue: 2
Paul Gould The Problem of God and Abstract Objects: A Prolegomenon
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How does God relate to abstract objects, if there be any? Any adequate solution to this question quickly leads to deep waters philosophical and theological. In this essay, I attempt to bring clarity to the debate related to the problem of God and abstract objects by first explicating as precisely as possible the problem and then by imposing some order into the debate by classifying various contemporary answers to the problem.
...The Problem of God and Abstract Objects ... How does God relate to abstract objects, if there be any? Any adequate solution ... The Problem of God and Abstract Objects A Prolegomenon ...
2. Philosophia Christi: Volume > 19 > Issue: 2
William Lane Craig Absolute Creationism and Divine Conceptualism: A Call for Conceptual Clarity
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The contemporary debate over God and abstract objects is hampered by a lack of conceptual clarity concerning two distinct metaphysical views: absolute creationism and divine conceptualism. This confusion goes back to the fount of the current debate, the article “Absolute Creation” by Thomas Morris and Christopher Menzel, who were not of one mind concerning God’s relation to abstract objects. Confusion has followed in their wake. Going forward, theistic philosophers need to distinguish more clearly between a sort of modified Platonism, according to which abstract objects depend ontologically on God, and a sort of divine psychologism, according to which objects typically thought to be abstract are, in fact, concrete mental entities of some sort.
...The contemporary debate over God and abstract objects is hampered by a lack ... not of one mind concerning God’s relation to abstract objects. Confusion has followed ... a sort of modified Platonism, according to which abstract objects depend ...
3. Philosophia Christi: Volume > 18 > Issue: 2
William Lane Craig “Absolute Creation” and “Theistic Activism”: A Plea for Terminological Uniformity
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Morris and Menzel’s view that God is the Creator of abstract as well as concrete objects is variously referred to by the labels “absolute creation” and “theistic activism.” To use these labels synonymously, however, exhibits a lack of discrimination. Theistic activism is the project of grounding modality in God, particularly in the divine will. Absolute creationism is a nonmodal project which regards abstract objects as created by God. The synonymous use of these terms results in confusion in debates over divine aseity and sovereignty. Philosophical discussion will benefit if we adopt a uniform terminology discriminating between these different views.
... discussion of the ontology of abstract objects and God’s relation ... the contemporary metaphysical debate over God and abstract objects. 1 I have ... it appeals to divine creation of abstract objects to solve the challenge ...
4. The Journal of Philosophy: Volume > 78 > Issue: 10
Erratum Notice
... theory of abstract objects. It asserts, essentially, that ... the properties satisfying the condition. Two abstract objects are identical ... as a species of abstract objects. It is then proved that every world ...
5. 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 ... , or in being dependent upon abstraction from concepts. Univer-sals are abstract objects ... a comprehension principle that asserts the existence of a plenitude of abstract objects ...
6. The Review of Metaphysics: Volume > 43 > Issue: 1
Albert Sweet Abstract Objects
...Abstract Objects ... What are abstract objects? Do they exist independently of the mind? Can ... are abstract objects, may be known, or are mind-independent. On the basis of his ...
7. Philosophy Today: Volume > 9 > Issue: 2
James K. Feibleman How Abstract Objects Survive
...How Abstract Objects Survive ... HOW ABSTRACT OBJECTS SURVIVE ... ;^cts.' By 'abstract objects,' it should be noted, I do not mean ...
8. The Journal of Philosophy: Volume > 92 > Issue: 10
Bernard Linsky, Edward N. Zalta Naturalized Platonism Versus Platonized Naturalism
...* In this paper, we argue that our knowledge of abstract objects ... of the natural sciences. But some abstract objects, such as mathematical ... ontology that recognizes abstract objects, that is, objects ...
9. Philosophical Inquiry: Volume > 23 > Issue: 1/2
Bernard Linsky Placing Abstract Objects in Naturalism
...Placing Abstract Objects in Naturalism ... Placing Abstract Objects in Naturalism Bernard Linsky ... on the existence of abstract objects. The independent mathematical project ...
10. The Journal of Philosophy: Volume > 77 > Issue: 11
La Verne Shelton The Abstract and the Concrete
... between some abstract objects and some physical objects appears ... and among some abstract objects. Taking objects of mathematical ... theories as paradigms of abstract objects, I argue that difference ...
11. The Review of Metaphysics: Volume > 45 > Issue: 3
Mind: Vol. 100, No. 4, October 1991: Realism and Response-Dependence (Philip Pettit)
... of Concepts, CHRISTOPHER PEACOCKE Concepts are abstract objects. Each ... is it possible for such abstract objects to be featured in the description ... as a special case of the general problem of how abstract objects ...
12. The Review of Metaphysics: Volume > 45 > Issue: 3
Mind: Vol. 100, No. 4, October 1991: Conceptions (Andrew Woodfield)
... of Concepts, CHRISTOPHER PEACOCKE Concepts are abstract objects. Each ... is it possible for such abstract objects to be featured in the description ... as a special case of the general problem of how abstract objects ...
13. The Review of Metaphysics: Volume > 31 > Issue: 1
JOURNAL OF PHILOSOPHY, Vol. 74, No. 2, February 1977
... beliefs: that sets are abstract objects, that we are capable of talking about ...
14. Philosophia Christi: Volume > 17 > Issue: 2
Craig J. Hazen Introduction to the Conversation
... and abstract objects. After the long evening of robust exchange, the three ...
15. Southwest Philosophy Review: Volume > 19 > Issue: 2
Claire Horisk PRETENSE AND ABSTRACT OBJECTS: COMMENTS ON ROBERTSON’S “(IN THE FICTION/MYTH) THE NUMBER SEVENTEEN CROSSES THE RUBICON”
...PRETENSE AND ABSTRACT OBJECTS ... Pretense and Abstract Objects: Comments on Robertson's "(In the Fiction ... (1) 'Holmes is a detective'? Since fictional characters are abstract objects ...
16. Croatian Journal of Philosophy: Volume > 5 > Issue: 1
Bernard Linsky Remarks on Platonized Naturalism
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A discussion of views first presented by this author and Edward Zalta in 1995 in the paper “Naturalized Platonism vs. Platonized Naturalism”. That paper presents an application of Zalta’s “object theory” to the ontology of mathematics, and claims that there is a plenitude of abstract objects, all the creatures of distinct mathematical theories. After a summary of the position, two questions concerning the view are singled out for discussion: just how many mathematical objects there are by our account, and the nature of the properties we use to characterize abstract objects. The difference between the authors in more recent developments of the view are also discussed.
... that there is a plenitude of abstract objects, all the creatures of distinct mathematical theories ... of the properties we use to characterize abstract objects. The difference between the authors ... of the properties we 'use to characterize abstract objects. The difference between the authors ...
17. Philosophia Christi: Volume > 19 > Issue: 2
Paul M. Gould God over All: Divine Aseity and the Challenge of Platonism
...-concrete divide is causality. Abstract objects “are causally impotent and so ... , abstract objects cannot be created or caused to exist. If they exist ... , Platonism posits infinities of infinities of abstract objects. Thus ...
18. 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 ... THE IDEALISTIC METAPHYSICS OF ABSTRACT OBJECTS ...
19. Philosophia Christi: Volume > 20 > Issue: 2
William Lane Craig Erik Wielenberg’s Metaphysics of Morals
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Focusing on Erik Wielenberg’s metaphysic of morals, I argue that his moral Platonism is, given the presumption against the existence of abstract objects, unmotivated. Moreover, Godless Normative Realism is implausible in light of the mysterious causal relations said to obtain between concrete objects and moral abstracta. His appeals to theism in order to motivate such causal connections is nugatory. If Wielenberg walks back his moral Platonism, then his metaphysics of morals collapses and Godless Normative Realism becomes explanatorily vacuous.
... Platonism is, given the presumption against the existence of abstract objects ... existing abstract objects. His view is akin to mathematical Platonism ... an independent realm of immaterial, causally effete, abstract objects like ...
20. Philosophy and Phenomenological Research: Volume > 51 > Issue: 2
Dale Jacquette Intensional Logic and the Metaphysics of Intentionality, by Edward N. Zalta
... logic of none xis tents, and Edward N. Zalta’s theory of abstract objects. Zalta ... reformulation of the logic of his earlier Abstract Objects: An Introduction to Axiomatic ... on the earlier system of Abstract Objects by incorporating a more complete formal theory ...