Arbitrary Reference in Logic and Mathematics
Autor Massimiliano Carrara, Enrico Martinoen Limba Engleză Hardback – 17 aug 2024
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. The work proposes a virtual theory of mereology in which the role of individuals is played by plural choices of atoms.
This considered work will appeal to scholars from branches of analytic philosophy, logic and the philosophy of mathematics in particular.
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Specificații
ISBN-13: 9783031664519
ISBN-10: 3031664515
Pagini: 108
Ilustrații: Approx. 220 p.
Dimensiuni: 160 x 241 x 12 mm
Greutate: 0.28 kg
Ediția:2024
Editura: Springer
Locul publicării:Cham, Switzerland
ISBN-10: 3031664515
Pagini: 108
Ilustrații: Approx. 220 p.
Dimensiuni: 160 x 241 x 12 mm
Greutate: 0.28 kg
Ediția:2024
Editura: Springer
Locul publicării:Cham, Switzerland
Cuprins
Preface.- 1. On Arbitrary Reference.- 2. On Plural Arbitrary Reference.- 3. On Arbitrary Fictional Models.- 4. Second-Order Logic and Plural Arbitrary Reference.- 5. Logical Concepts and Plural Arbitrary Reference.- 6. Plural Arbitrary Reference and mereology.- 7. Grounding Megethology on Plural Arbitrary Reference.- 8. The Mereological foundation of Megethology.- 9. Final ruminations.- Index.
Notă biografică
Massimiliano Carrara is professor of logic at FISPPA Department – Padua University, where he teaches Logic and Philosophy of Language. Moreover, he is Visiting Professor at the Institut of Philosophy - USI, Lugano (Swiss) and Teaching Fellow of Critical Thinking at the Commercial University Bocconi (Milan, Italy). He has been Visiting researcher and Visiting professor of some universities, Visiting scholar at Columbia University (NY, US), and Eramus Graduate Student at Oxford University (UK). He has written articles in metaphysics, philosophy of logic and logic, many of which are published in international peer-reviewed philosophy and logic journals. Ciro De Florio is professor of logic at the Faculty of Economics, at the Università Cattolica of Milan. His interests concern philosophy of logic, applied logic, and metaphysics. He is member of the scientific committee of the Humane Technology Lab of Università Cattolica. Among his recent publications, "Divine Omniscience and Human Free Will. A Logical and Metaphysical Analysis" (with A. Frigerio, Palgrave Macmillan 2020); "Reflections on Logics for Assertion and Denial" (Journal of Applied Logics, 2021); "Future, Truth, and Probability" (with A. Frigerio, Inquiry, 2022)). He likes to hike in the mountains, better if with his family. Giorgio Lando is professor of philosophy of language and metaphysics at the University of L'Aquila. He specializes in metaphysics and in the history of analytic philosophy. He has worked at the Scuola Normale Superiore in Pisa and at the University of Geneva. In the matter of metaphysics, several of his works about metaontology, mereology, the relations between composition and identity, and the nature of words and other linguistic expressions appeared in journals such as Synthese, Dialectica, Erkenntnis, Theoria, and the Monist. He is the author of "Mereology", Bloomsbury, London 2017. Vittorio Morato is professor of philosophy of language and epistemology at FISPPA Department of Padua University. He is visiting professor at the Institute of Philosophy - USI, Lugano (Switzerland)) and Teaching Fellow of Critical Thinking at the Commercial University Bocconi (Milan, Italy). He has been visiting scholar at the University of California (UCLA) and at the University of Oxford. His interests concern the metaphysics of modal logic, the interplay between modal language and ontology and the epistemology of modality. His works appeared in journals such as Erkenntnis, Analytic Philosophy, Topoi, Logique & Analyse.
Textul de pe ultima copertă
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. The work proposes a virtual theory of mereology in which the role of individuals is played by plural choices of atoms.
This considered work will appeal to scholars from branches of analytic philosophy, logic and the philosophy of mathematics in particular.
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. The work proposes a virtual theory of mereology in which the role of individuals is played by plural choices of atoms.
This considered work will appeal to scholars from branches of analytic philosophy, logic and the philosophy of mathematics in particular.