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Titlebook: Arbitrary Reference in Logic and Mathematics; Massimiliano Carrara,Enrico Martino Book 2024 Springer Nature Switzerland AG 2024 Arbitrary

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發(fā)表于 2025-3-21 17:37:09 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Arbitrary Reference in Logic and Mathematics
影響因子2023Massimiliano Carrara,Enrico Martino
視頻videohttp://file.papertrans.cn/168/167541/167541.mp4
發(fā)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
學(xué)科分類Synthese Library
圖書封面Titlebook: Arbitrary Reference in Logic and Mathematics;  Massimiliano Carrara,Enrico Martino Book 2024 Springer Nature Switzerland AG 2024 Arbitrary
影響因子.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 Boolos? 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 Linnebo?s 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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發(fā)表于 2025-3-22 12:36:10 | 只看該作者
This chapter argues that a certain weaker use of mereology, compared to Lewis’s, supports an innocence thesis similar to plural reference. We propose a theory of . (.), where agents play both the role of choosers and of chosen. Using our semantics of plural choices, we interpret a formal first-order mereological language, like Goodman’s ..
6#
發(fā)表于 2025-3-22 13:41:03 | 只看該作者
In this final brief chapter, we aim to summarize the theses and results presented and achieved throughout this book. We offer further insights into the crucial role of imagination in logical and mathematical thought. In particular, we emphasize the significance of our acts of choice as a powerful tool for combining potential and actual infinities.
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發(fā)表于 2025-3-22 19:28:43 | 只看該作者
A Notion of , Based on Plural Arbitrary Reference,In this chapter, building on the previous chapters’ approach to plural quantification through plural arbitrary reference grounded on the semantics of plural acts of choice, we develop a theory of concepts termed as a theory of .. Within this framework, we propose a novel logicist approach to natural numbers.
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發(fā)表于 2025-3-22 23:22:11 | 只看該作者
Plural Arbitrary Reference and Mereology,This chapter argues that a certain weaker use of mereology, compared to Lewis’s, supports an innocence thesis similar to plural reference. We propose a theory of . (.), where agents play both the role of choosers and of chosen. Using our semantics of plural choices, we interpret a formal first-order mereological language, like Goodman’s ..
9#
發(fā)表于 2025-3-23 05:03:20 | 只看該作者
Final Ruminations,In this final brief chapter, we aim to summarize the theses and results presented and achieved throughout this book. We offer further insights into the crucial role of imagination in logical and mathematical thought. In particular, we emphasize the significance of our acts of choice as a powerful tool for combining potential and actual infinities.
10#
發(fā)表于 2025-3-23 07:04:54 | 只看該作者
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