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Titlebook: Objects, Structures, and Logics; FilMat Studies in th Gianluigi Oliveri,Claudio Ternullo,Stefano Boscolo Book 2022 The Editor(s) (if applic

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书目名称Objects, Structures, and Logics
副标题FilMat Studies in th
编辑Gianluigi Oliveri,Claudio Ternullo,Stefano Boscolo
视频video
概述Offers Novel In-Depth Discussions of the Relationship Between Logic and Metaphysics.Attempts to Develop a New Framework for the Concept of Mathematical Structure.Emphasizes the Importance of Mathemati
丛书名称Boston Studies in the Philosophy and History of Science
图书封面Titlebook: Objects, Structures, and Logics; FilMat Studies in th Gianluigi Oliveri,Claudio Ternullo,Stefano Boscolo Book 2022 The Editor(s) (if applic
描述.This edited collection casts light on central issues within contemporary philosophy of mathematics such as the realism/anti-realism dispute; the relationship between logic and metaphysics; and the question of whether mathematics is a science of objects or structures..The discussions offered in the papers involve an in-depth investigation of, among other things, the notions of mathematical truth, proof, and grounding; and, often, a special emphasis is placed on considerations relating to mathematical practice.. .A distinguishing feature of the book is the multicultural nature of the community that has produced it. Philosophers, logicians, and mathematicians have all contributed high-quality articles which will prove valuable to researchers and students alike..
出版日期Book 2022
关键词Mathematical Structuralism; Mathematical Objects; Logic and Metaphysics in the Philosophy of Mathemati
版次1
doihttps://doi.org/10.1007/978-3-030-84706-7
isbn_softcover978-3-030-84708-1
isbn_ebook978-3-030-84706-7Series ISSN 0068-0346 Series E-ISSN 2214-7942
issn_series 0068-0346
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Rescuing Implicit Definition from Abstractionism all acceptable implicit definitions take the form of abstraction principles. I argue that there is reason to think that neo-Fregean aims would be better served by construing the . themselves as implicit definitions, and consider and respond to several lines of objection to this thought.
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Structural Relativity and Informal Rigourtheory using quasi-weak second-order logic. These observations indicate that the usual division of structures into . (e.g. the natural number structure) and . (e.g. the group structure) is perhaps too coarse grained; we should also make a distinction between . and . general structures.
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Book 2022tionship between logic and metaphysics; and the question of whether mathematics is a science of objects or structures..The discussions offered in the papers involve an in-depth investigation of, among other things, the notions of mathematical truth, proof, and grounding; and, often, a special emphas
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