Search results for 'John P. Mayberry' (try it on Scholar)

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  1. John P. Mayberry (1980). A New Begriffsschrift (I). British Journal for the Philosophy of Science 31 (3):213-254.score: 870.0
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  2. John P. Mayberry (1980). A New Begriffsschrift (II). British Journal for the Philosophy of Science 31 (4):329-358.score: 870.0
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  3. John Mayberry (1994). What is Required of a Foundation for Mathematics? Philosophia Mathematica 2 (1):16-35.score: 240.0
    The business of mathematics is definition and proof, and its foundations comprise the principles which govern them. Modern mathematics is founded upon set theory. In particular, both the axiomatic method and mathematical logic belong, by their very natures, to the theory of sets. Accordingly, foundational set theory is not, and cannot logically be, an axiomatic theory. Failure to grasp this point leads obly to confusion. The idea of a set is that of an extensional plurality, limited and definite in size, (...)
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  4. John Mayberry (1977). The Consistency Problem for Set Theory: An Essay on the Cantorian Foundations of Mathematics (II). British Journal for the Philosophy of Science 28 (2):137-170.score: 240.0
  5. John Mayberry (1988). What Are Numbers? Philosophical Studies 54 (3):317 - 354.score: 240.0
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  6. J. P. Mayberry (2000). The Foundations of Mathematics in the Theory of Sets. Cambridge University Press.score: 240.0
    This book will appeal to mathematicians and philosophers interested in the foundations of mathematics.
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  7. John Mayberry (1977). On the Consistency Problem for Set Theory: An Essay on the Cantorian Foundations of Classical Mathematics (I). British Journal for the Philosophy of Science 28 (1):1-34.score: 240.0
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  8. John Mayberry & Michael Hallett (1986). Cantorian Set Theory and Limitation of Size. Philosophical Quarterly 36 (144):429.score: 240.0
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  9. J. P. Mayberry & D. A. Gillies (1984). Frege, Dedekind, and Peano on the Foundations of Arithmetic. Philosophical Quarterly 34 (136):424.score: 240.0
    First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This (...)
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  10. John Mayberry (1985). Global Quantification in Zermelo-Fraenkel Set Theory. Journal of Symbolic Logic 50 (2):289-301.score: 240.0
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  11. J. P. Mayberry (1998). Review: Luis E. Sanchis, Set Theory -- An Operational Approach. [REVIEW] Journal of Symbolic Logic 63 (2):751-752.score: 240.0
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  12. Aditya Mandal, Jayne Eaden, Margaret K. Mayberry & John F. Mayberry (2000). Questionnaire Surveys in Medical Research. Journal of Evaluation in Clinical Practice 6 (4):395-403.score: 240.0
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  13. O. Bradley Bassler (2005). Book Review: J. P. Mayberry. Foundations of Mathematics in the Theory of Sets. [REVIEW] Notre Dame Journal of Formal Logic 46 (1):107-125.score: 84.0
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  14. W. W. Tait (2002). Review: J. P. Mayberry, The Foundations of Mathematics in the Theory of Sets. [REVIEW] Bulletin of Symbolic Logic 8 (3):424-426.score: 84.0
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  15. Mary Tiles (2002). Review of J. P. Mayberry, The Foundations of Mathematics in the Theory of Sets. [REVIEW] Philosophia Mathematica 10 (3):324-337.score: 84.0
  16. Hannes Leitgeb & James Ladyman (2008). Criteria of Identity and Structuralist Ontology. Philosophia Mathematica 16 (3):388-396.score: 24.0
    In discussions about whether the Principle of the Identity of Indiscernibles is compatible with structuralist ontologies of mathematics, it is usually assumed that individual objects are subject to criteria of identity which somehow account for the identity of the individuals. Much of this debate concerns structures that admit of non-trivial automorphisms. We consider cases from graph theory that violate even weak formulations of PII. We argue that (i) the identity or difference of places in a structure is not to be (...)
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  17. Stewart Shapiro (2008). Identity, Indiscernibility, and Ante Rem Structuralism: The Tale of I and –I. Philosophia Mathematica 16 (3):285-309.score: 24.0
    Some authors have claimed that ante rem structuralism has problems with structures that have indiscernible places. In response, I argue that there is no requirement that mathematical objects be individuated in a non-trivial way. Metaphysical principles and intuitions to the contrary do not stand up to ordinary mathematical practice, which presupposes an identity relation that, in a sense, cannot be defined. In complex analysis, the two square roots of –1 are indiscernible: anything true of one of them is true of (...)
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  18. Richard Pettigrew (2010). The Foundations of Arithmetic in Finite Bounded Zermelo Set Theory. Cahiers du Centre de Logique 17:99-118.score: 24.0
    In this paper, I pursue such a logical foundation for arithmetic in a variant of Zermelo set theory that has axioms of subset separation only for quantifier-free formulae, and according to which all sets are Dedekind finite. In section 2, I describe this variant theory, which I call ZFin0. And in section 3, I sketch foundations for arithmetic in ZFin0 and prove that certain foundational propositions that are theorems of the standard Zermelian foundation for arithmetic are independent of ZFin0.<br><br>An equivalent (...)
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