Prawitz's Epistemic Grounding

An Investigation into the Power of Deduction

Antonio Piccolomini d’Aragona (Autor)

Buch | Hardcover

VIII, 282 Seiten

2023 | 1st ed. 2023
Springer International Publishing (Verlag)
978-3-031-20293-3 (ISBN)

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This book presents an in-depth and critical reconstruction of Prawitz's epistemic grounding, and discusses it within the broader field of proof-theoretic semantics. The theory of grounds is also provided with a formal framework, through which several relevant results are proved. Investigating Prawitz's theory of grounds, this work answers one of the most fundamental questions in logic: why and how do some inferences have the epistemic power to compel us to accept their conclusion, if we have accepted their premises? Prawitz proposes an innovative description of inferential acts, as applications of constructive operations on grounds for the premises, yielding a ground for the conclusion.
The book is divided into three parts. In the first, the author discusses the reasons that have led Prawitz to abandon his previous semantics of valid arguments and proofs. The second part presents Prawitz's grounding as foundin his ground-theoretic papers. Finally, in the third part, a formal apparatus is developed, consisting of a class of languages whose terms are equipped with denotation functions associating them to operations and grounds, as well as of a class of systems where important properties of the terms can be proved.

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.- Part I. The idea of epistemic grounding. 2. From models to evidence.- 3. Valid arguments and proofs.- 4. Prawitz's theory of grounds.- Part II. Formal epistemic grounding. 5. Languages of grounding.- 6. Systems of grounding.- 7. Completeness and recognizability.- 8. Conclusion.- Bibliography.

Erscheinungsdatum	04.01.2023
Reihe/Serie	Synthese Library
Zusatzinfo	VIII, 282 p. 1 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	535 g
Themenwelt	Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika
Themenwelt	Geisteswissenschaften ► Philosophie ► Logik
Schlagworte	a formal theory of grounding • Building Arguments • Dag Prawitz • epistemic compulsion • languages of grounding • nature of inferences • proofs-as-chains
ISBN-10	3-031-20293-7 / 3031202937
ISBN-13	978-3-031-20293-3 / 9783031202933
Zustand	Neuware