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

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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

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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.

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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

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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