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

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Book Synopsis Perspectives on Deduction: Contemporary Studies in the Philosophy, History and Formal Theories of Deduction by : Antonio Piccolomini d'Aragona

Download or read book Perspectives on Deduction: Contemporary Studies in the Philosophy, History and Formal Theories of Deduction written by Antonio Piccolomini d'Aragona. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

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

2024-03-17 Philosophy
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Release : 2024-03-17
Genre : Philosophy
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Book Rating : 050/5 ( reviews)

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Book Synopsis Perspectives on Deduction: Contemporary Studies in the Philosophy, History and Formal Theories of Deduction by : Antonio Piccolomini d'Aragona

Download or read book Perspectives on Deduction: Contemporary Studies in the Philosophy, History and Formal Theories of Deduction written by Antonio Piccolomini d'Aragona. This book was released on 2024-03-17. Available in PDF, EPUB and Kindle. Book excerpt: This book provides philosophers and logicians with a broad spectrum of views on contemporary research on the problem of deduction, its justification and explanation. 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. The philosophical perspective has to do with the relationship between deductive validity and truth, and questions the alleged conclusiveness of deduction and its epistemic contribution. It also discusses the role of linguistic acts in deductive practice, and provides a cognitive-didactic contribution on how we may learn through deduction. In the historical perspective, the contributions discuss the ideas of some major historical figures, such as Bolzano, Girard, Gödel, and Peano. Finally, in the formal perspective, the mathematics of deduction is dealt with mainly from an intuitionistic-constructivist or proof-theoretic point of view, with focus on “ecumenic” or internalistic approaches to logical validity, on the nature and identity of proofs, and on dialogical setups. Chapter [14] is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Induction and Deduction in the Sciences

2004-04-30 Science
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Release : 2004-04-30
Genre : Science
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Book Rating : 968/5 ( reviews)

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Book Synopsis Induction and Deduction in the Sciences by : F. Stadler

Download or read book Induction and Deduction in the Sciences written by F. Stadler. This book was released on 2004-04-30. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume deal with the main inferential methods that can be applied to different kinds of experimental evidence. These contributions - accompanied with critical comments - by renowned scholars in the field of philosophy of science aim at removing the traditional opposition between inductivists and deductivists. They explore the different methods of explanation and justification in the sciences in different contexts and with different objectives. The volume contains contributions on methods of the sciences, especially on induction, deduction, abduction, laws, probability and explanation, ranging from logic, mathematics, natural to the social sciences. They present a highly topical pluralist re-evaluation of methodological and foundational procedures and reasoning, e.g. focusing in Bayesianism and Artificial Intelligence. They document the second international conference in Vienna on "Induction and Deduction in the Sciences" as part of the Scientific Network on "Historical and Contemporary Perspectives of Philosophy of Science in Europe", funded by the European Science Foundation (ESF).

The Dialogical Roots of Deduction

2020-12-17 Computers
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Release : 2020-12-17
Genre : Computers
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Book Rating : 88X/5 ( reviews)

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Book Synopsis The Dialogical Roots of Deduction by : Catarina Dutilh Novaes

Download or read book The Dialogical Roots of Deduction written by Catarina Dutilh Novaes. This book was released on 2020-12-17. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive account of the concept and practices of deduction covering philosophy, history, cognition and mathematical practice.

Objectivity, Realism, and Proof

2016-07-05 Science
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Release : 2016-07-05
Genre : Science
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Book Rating : 443/5 ( reviews)

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Book Synopsis Objectivity, Realism, and Proof by : Francesca Boccuni

Download or read book Objectivity, Realism, and Proof written by Francesca Boccuni. This book was released on 2016-07-05. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers a wide range of topics in the most recent debates in the philosophy of mathematics, and is dedicated to how semantic, epistemological, ontological and logical issues interact in the attempt to give a satisfactory picture of mathematical knowledge. The essays collected here explore the semantic and epistemic problems raised by different kinds of mathematical objects, by their characterization in terms of axiomatic theories, and by the objectivity of both pure and applied mathematics. They investigate controversial aspects of contemporary theories such as neo-logicist abstractionism, structuralism, or multiversism about sets, by discussing different conceptions of mathematical realism and rival relativistic views on the mathematical universe. They consider fundamental philosophical notions such as set, cardinal number, truth, ground, finiteness and infinity, examining how their informal conceptions can best be captured in formal theories. The philosophy of mathematics is an extremely lively field of inquiry, with extensive reaches in disciplines such as logic and philosophy of logic, semantics, ontology, epistemology, cognitive sciences, as well as history and philosophy of mathematics and science. By bringing together well-known scholars and younger researchers, the essays in this collection – prompted by the meetings of the Italian Network for the Philosophy of Mathematics (FilMat) – show how much valuable research is currently being pursued in this area, and how many roads ahead are still open for promising solutions to long-standing philosophical concerns. Promoted by the Italian Network for the Philosophy of Mathematics – FilMat

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