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Straight Talk about Sets

Philosophical Topics 17 (2):91-107 (1989)

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  1. Immanence in Abundance.Chad Carmichael - 2022 - Erkenntnis 89 (4):1535-1553.
    In this paper, I develop a theory on which each of a thing’s abundant properties is immanent in that thing. On the version of the theory I will propose, universals are abundant, each instantiated universal is immanent, and each uninstantiated universal is such that it could have been instantiated, in which case it would have been immanent. After setting out the theory, I will defend it from David Lewis’s argument that such a combination of immanence and abundance is absurd. I (...)
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  • Motivating reductionism about sets.Alexander Paseau - 2008 - Australasian Journal of Philosophy 86 (2):295 – 307.
    The paper raises some difficulties for the typical motivations behind set reductionism, the view that sets are reducible to entities identified independently of set theory.
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  • Can the property Boom last?Fraser MacBride - 2001 - Proceedings of the Aristotelian Society 101 (3):225–246.
    The contemporary Humean programme that seeks to combine property realism with the denial of necessary connections between distinct existences is flawed. Objects and properties by their very natures are entangled in such connections. It follows that modal notions cannot be reductively analysed by appeal to the concept property, not even if the reducing theory posits an abundant supply of entities to fall under that concept.
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  • One Step Toward God.Brian Leftow - 2011 - Royal Institute of Philosophy Supplement 68:67-103.
    I describe a new argument for the existence of God, and argue one of its steps. En route I criticize class-nominalist theories of attributes, and sketch an alternate theory involving God.
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