Perspectives on Deduction: Contemporary Studies in the Philosophy, History and Formal Theories of Deduction

Häftad, Engelska, 2025

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The variety of distinct approaches exemplified by the single chapters allows for a dialogue between perspectives that, usually, barely communicate with each other. The contributions concern (in a possibly intertwined way) three major perspectives in logic: philosophical, historical, formal.

Produktinformation

Utgivningsdatum2025-04-03
Mått155 x 235 x 24 mm
Vikt651 g
FormatHäftad
SpråkEngelska
SerieSynthese Library
Antal sidor424
FörlagSpringer International Publishing AG
ISBN9783031514081

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I obtained my Bachelor Degree in Philosophy at the "Federico II" University of Naples in 2009, and my Master Degree in Philosophy at the "La Sapienza" University of Rome in 2014. I achieved the Doctoral Degree in Philosophy in 2019, with a dissertation about Dag Prawitz’s theory of grounds under the conjoint direction of prof. Gabriella Crocco (Aix-Marseille University) and prof. Cesare Cozzo ("La Sapienza" University of Rome). I am currently teaching History and Philosophy of Science, Logic and Philosophy of Logic, and Philosophy of Mathematics, at the Science and Philosophy Departments of the Aix-Marseille University.Broadly, I deal with mathematical logic and philosophy of logic. More specifically, I am interested into constructive logics and proof-theoretic semantics (particularly Prawitz’s semantics) stemming from the intuitionistic tradition. As a parallel project, I investigate whether Kreisel’s informal rigour and Goedel’s absolute provability can be read through the lens of contemporary constructivist approaches. A minor interest concerns a socio-epistemological study of scientific controversies.

1. Introduction: deduction at the crossroads (Antonio Piccolomini d'Aragona).- 2. The interdependence between the concepts of valid inference and proof revisited (Dag Prawitz).- 3. The completeness theorem? So what! (Goran Sundholm).- 4. Godel's absolute proofs and Girard's Ludics. Mutual insights (Gabriella Crocco and Myriam Quatrini).- 5. Dummett, analytic and synthetic deductions (Cesare Cozzo).- 6. From proof-objects to grounds (Enrico Moriconi).- 7. On an ecumenical natural deduction with stoup - Part I: the propositional case (Luiz Carlos Pereira and Elaine Pimentel).- 8. Martin-Lof on the validity of inference (Ansten Klev).- 9. Molecularity in the theory of meaning and the topic neutrality of logic (Nils Kurbis and Bernhard Weiss).- 10. Assertion, assumption and deduction (Peter Pagin).- 11. Deduction and ampliativity: a critical appraisal (Emiliano Ippoliti).- 12. A new conjecture about identity of proofs (Paolo Pistone).- 13. Godel's introduction to deduction (Milos Adzic).- 14. Karl Popper on deduction (Thomas Piecha).- 15. An epistemological view on the Peano School Axiomatics (Paola Cantu).- 16. Inferential quantification and the w-rule (Constantin Brincus).- 17. Chains of inferences in proof by induction: a cognitive analysis (Samuele Antonini and Bernardo Nannini).- 18. From strategies to derivations and back. An easy completeness proof for first-order intuitionistic dialogical logic (Davide Catta).- Index.