| 期刊全称 | Arbitrary Reference in Logic and Mathematics | | 影响因子2023 | Massimiliano Carrara,Enrico Martino | | 视频video | | | 发行地址 | Examines the application of plural arbitrary reference in logic and philosophy of mathematics.Develops a theory of concepts that can be labelled as a theory of logical concepts.Considers grounding meg | | 学科分类 | Synthese Library | | 图书封面 |  | | 影响因子 | .This book develops a new approach to plural arbitrary reference and examines mereology, including considering four theses on the alleged innocence of mereology. The authors have advanced the notion of plural arbitrary reference in terms of idealized plural acts of choice, performed by a suitable team of agents. In the first part of the book, readers will discover a revision of Boolosʼ interpretation of second order logic in terms of plural quantification and a sketched structuralist reconstruction of second-order arithmetic based on the axiom of infinite, .a la. Dedekind, as the unique non-logical axiom. The work goes on to analyse the pros and cons of the new interpretation, also with respect to Linneboʼs objections to the thesis that second order logic is genuine logic. A theory of concepts that can be labelled as a theory of logical concepts is expounded...In the second part of the book, the authors consider grounding megethology on plural arbitrary reference and argue that the arguments for the ontological innocence of mereology are not conclusive and that – for a certain use of mereology – a thesis of innocence, similar to that of plural arbitrary reference, is defensible. Th | | Pindex | Book 2024 |
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发表于 2025-3-21 17:37:09
