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  1. Parts: A Study in Ontology.Peter Simons - 1987 - Clarendon Press.
    The relationship of part to whole is one of the most fundamental there is; this is the first and only full-length study of this concept. This book shows that mereology, the formal theory of part and whole, is essential to ontology. Peter Simons surveys and criticizes previous theories, especially the standard extensional view, and proposes a more adequate account which encompasses both temporal and modal considerations in detail. 'Parts could easily be the standard book on mereology for the next twenty (...)
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  • Parts : a Study in Ontology.Peter Simons - 1987 - Revue de Métaphysique et de Morale 2:277-279.
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  • Parts of Classes.David K. Lewis - 1991 - Mind 100 (3):394-397.
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  • Mathematics is Megethology.David K. Lewis - 1993 - Philosophia Mathematica 1 (1):3-23.
    is the second-order theory of the part-whole relation. It can express such hypotheses about the size of Reality as that there are inaccessibly many atoms. Take a non-empty class to have exactly its non-empty subclasses as parts; hence, its singleton subclasses as atomic parts. Then standard set theory becomes the theory of the member-singleton function—better, the theory of all singleton functions—within the framework of megethology. Given inaccessibly many atoms and a specification of which atoms are urelements, a singleton function exists, (...)
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  • To Be is to Be a Value of a Variable (or to Be Some Values of Some Variables).George Boolos - 1984 - Journal of Philosophy 81 (8):430-449.
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  • Parts of Classes.David K. Lewis - 1991 - Blackwell.
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  • Parts of Classes.Michael Potter - 1993 - Philosophical Quarterly 43 (172):362-366.
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  • Structuralism Without Structures.Hellman Geoffrey - 1996 - Philosophia Mathematica 4 (2):100-123.
    Recent technical developments in the logic of nominalism make it possible to improve and extend significantly the approach to mathematics developed in Mathematics without Numbers. After reviewing the intuitive ideas behind structuralism in general, the modal-structuralist approach as potentially class-free is contrasted broadly with other leading approaches. The machinery of nominalistic ordered pairing (Burgess-Hazen-Lewis) and plural quantification (Boolos) can then be utilized to extend the core systems of modal-structural arithmetic and analysis respectively to full, classical, polyadic third- and fourthorder number (...)
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  • Parts: A Study in Ontology.Peter Simons - 1987 - Oxford University Press.
    Although the relationship of part to whole is one of the most fundamental there is, this is the first full-length study of this key concept. Showing that mereology, or the formal theory of part and whole, is essential to ontology, Simons surveys and critiques previous theories--especially the standard extensional view--and proposes a new account that encompasses both temporal and modal considerations. Simons's revised theory not only allows him to offer fresh solutions to long-standing problems, but also has far-reaching consequences for (...)
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  • Plural Quantification and the Axiom of Choice.Stephen Pollard - 1988 - Philosophical Studies 54 (3):393 - 397.
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  • Nominalist Platonism.George Boolos - 1985 - Philosophical Review 94 (3):327-344.
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  • To Be is to Be a Value of a Variable.George Boolos - 1984 - Journal of Symbolic Logic 54 (2):616-617.
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  • On the Ontological Commitment of Mereology.Massimiliano Carrara & Enrico Martino - 2009 - Review of Symbolic Logic 2 (1):164-174.
    In Parts of Classes (1991) and Mathematics Is Megethology (1993) David Lewis defends both the innocence of plural quantification and of mereology. However, he himself claims that the innocence of mereology is different from that of plural reference, where reference to some objects does not require the existence of a single entity picking them out as a whole. In the case of plural quantification . Instead, in the mereological case: (Lewis, 1991, p. 87). The aim of the paper is to (...)
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