標題: Titlebook: Arbitrary Reference in Logic and Mathematics; Massimiliano Carrara,Enrico Martino Book 2024 Springer Nature Switzerland AG 2024 Arbitrary [打印本頁] 作者: Encounter 時間: 2025-3-21 17:37
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作者: 蒼白 時間: 2025-3-21 22:47 作者: Little 時間: 2025-3-22 01:57 作者: 蘑菇 時間: 2025-3-22 08:35 作者: verdict 時間: 2025-3-22 12:36
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 ..作者: 猛然一拉 時間: 2025-3-22 13:41
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.作者: jet-lag 時間: 2025-3-22 19:28
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.作者: 蒼白 時間: 2025-3-22 23:22
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 ..作者: 反對 時間: 2025-3-23 05:03
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.作者: 先驅(qū) 時間: 2025-3-23 07:04 作者: 戰(zhàn)勝 時間: 2025-3-23 13:34
eference. We argue that . is essential for both formal and informal logical deduction, as well as for the semantics of quantifiers. We propose to understand . as direct reference via an ideal act of choice, setting the stage for further developments in later chapters.作者: 管理員 時間: 2025-3-23 16:43 作者: 憤憤不平 時間: 2025-3-23 19:18 作者: MOCK 時間: 2025-3-24 00:20 作者: 遺產(chǎn) 時間: 2025-3-24 06:11 作者: 壁畫 時間: 2025-3-24 08:38
ng mathematician relates to the various possible interpretations in model theory. To this purpose we introduce some .. Additionally, we aim to clarify how one can deduce logical consequences of the axioms by reasoning on a single interpretation, even when a theory has non-equivalent elementary model作者: 歡呼 時間: 2025-3-24 13:05
ontological commitment; (b) understanding our semantics does not require any prior mathematical concepts; and (c) although . is not universally applicable, it still offers significant applicability, especially in mathematics. We conclude the chapter arguing that second-order logic, as interpreted t作者: assail 時間: 2025-3-24 18:34 作者: 的事物 時間: 2025-3-24 21:47
a mereological foundation of set theory is achievable within first order logic. Furthermore, we show how a mereological codification of ordered pairs is achievable with a very restricted use of the notion of .. Finally, in the last section of this chapter we show that, adopting a relativistic notio作者: AWRY 時間: 2025-3-24 23:23
https://doi.org/10.1007/978-3-031-66452-6Arbitrary reference; Plural reference; Second order logic; Plural quantification; Logicality of second o作者: 不確定 時間: 2025-3-25 06:35 作者: Bombast 時間: 2025-3-25 07:47
Massimiliano Carrara,Enrico MartinoExamines 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作者: Alveolar-Bone 時間: 2025-3-25 12:23 作者: 冷峻 時間: 2025-3-25 19:51
On Arbitrary Reference,eference. We argue that . is essential for both formal and informal logical deduction, as well as for the semantics of quantifiers. We propose to understand . as direct reference via an ideal act of choice, setting the stage for further developments in later chapters.作者: Leaven 時間: 2025-3-25 21:05 作者: palliative-care 時間: 2025-3-26 03:00 作者: 我不明白 時間: 2025-3-26 07:50 作者: Anthem 時間: 2025-3-26 09:22 作者: Instantaneous 時間: 2025-3-26 15:39
The Mereological Foundation of Megethology, a mereological foundation of set theory is achievable within first order logic. Furthermore, we show how a mereological codification of ordered pairs is achievable with a very restricted use of the notion of .. Finally, in the last section of this chapter we show that, adopting a relativistic notio作者: ETHER 時間: 2025-3-26 17:47
Book 2024ook, 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作者: 變白 時間: 2025-3-26 23:34
0166-6991 at 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. Th978-3-031-66454-0978-3-031-66452-6Series ISSN 0166-6991 Series E-ISSN 2542-8292 作者: 膠狀 時間: 2025-3-27 05:08
n of atom, according to which any individual can play the role of atom, one can reconstruct Cantor’s theorem and prove that, given any infinite, mereology with plural quantification (MPQ) guarantees the existence of large and large infinities. This result seems in conflict with the alleged ontological innocence of MPQ.作者: Anticonvulsants 時間: 2025-3-27 08:56
s of choice, . lacks the logical requirement of universal applicability. However, such limitation is superseded by the structuralist conception of mathematics, according to which arbitrary entities, independently of their very nature, can play the role of mathematical objects.作者: SHOCK 時間: 2025-3-27 13:20 作者: Rinne-Test 時間: 2025-3-27 15:57 作者: Evacuate 時間: 2025-3-27 21:41
ividual, plural arbitrary reference is achieved through simultaneous acts of choice by each agent. This idealized notion of reference provides a basis for understanding plural quantification without second-order entities, maintaining the ontological innocence of second-order logic by distinguishing between acts and entities.作者: Diluge 時間: 2025-3-27 22:36 作者: 總 時間: 2025-3-28 04:18 作者: 議程 時間: 2025-3-28 07:07
Book 2024 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 quant作者: expound 時間: 2025-3-28 14:03
9樓作者: 弄皺 時間: 2025-3-28 16:00
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