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2014, ISBN: 3319104330

[EAN: 9783319104331], Neubuch, [SC: 0.0], [PU: Springer International Publishing], EPISTEMOLOGIE; WISSENSCHAFTSPHILOSOPHIE; DYNAMICSOFDIAGRAMSINKNOTTHEORY; FUNDAMENTALTHEOREMOFALGEBRA; GO… Meer...

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Gabriele Lolli:

From Logic to Practice - gebonden uitgave, pocketboek

2014, ISBN: 3319104330

[EAN: 9783319104331], Neubuch, [PU: Springer International Publishing Dez 2014], EPISTEMOLOGIE; WISSENSCHAFTSPHILOSOPHIE; DYNAMICSOFDIAGRAMSINKNOTTHEORY; FUNDAMENTALTHEOREMOFALGEBRA; GOTT… Meer...

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ISBN: 9783319104331

This book brings together young researchers from a variety of fields within mathematics, philosophy and logic. It discusses questions that arise in their work, as well as themes and react… Meer...

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From Logic to Practice: Italian Studies in the Philosophy of Mathematics (Boston Studies in the Philosophy and History of Science, 308, Band 308) - Lolli
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Lolli:
From Logic to Practice: Italian Studies in the Philosophy of Mathematics (Boston Studies in the Philosophy and History of Science, 308, Band 308) - gebonden uitgave, pocketboek

2014, ISBN: 9783319104331

Springer, Gebundene Ausgabe, Auflage: 2015, 360 Seiten, Publiziert: 2014-12-11T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 17 black & white illustrations, 10 colou, 14.6 kg, Erkenntni… Meer...

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From Logic to Practice - Lolli, Gabriele Panza, Marco Venturi, Giorgio
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Lolli, Gabriele Panza, Marco Venturi, Giorgio:
From Logic to Practice - gebonden uitgave, pocketboek

2014, ISBN: 9783319104331

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From Logic to Practice: Italian Studies in the Philosophy of Mathematics (Boston Studies in the Philosophy and History of Science, 308, Band 308)
auteur:
Titel:
ISBN:

3319104330


This book brings together young researchers from a variety of fields within mathematics, philosophy and logic. It discusses questions that arise in their work, as well as themes and reactions that appear to be similar in different contexts. The book shows that a fairly intensive activity in the philosophy of mathematics is underway, due on the one hand to the disillusionment with respect to traditional answers, on the other to exciting new features of present day mathematics. The book explains how the problem of applicability once again plays a central role in the development of mathematics. It examines how new languages different from the logical ones (mostly figural), are recognized as valid and experimented with and how unifying concepts (structure, category, set) are in competition for those who look at this form of unification. It further shows that traditional philosophies, such as constructivism, while still lively, are no longer only philosophies, but guidelines for research. Finally, the book demonstrates that the search for and validation of new axioms is analyzed with a blend of mathematical historical, philosophical, psychological considerations.

Gedetalleerde informatie over het boek. - From Logic to Practice: Italian Studies in the Philosophy of Mathematics (Boston Studies in the Philosophy and History of Science, 308, Band 308)


EAN (ISBN-13): 9783319104331
ISBN (ISBN-10): 3319104330
Gebonden uitgave
Verschijningsjaar: 2015
Uitgever: Springer

Boek bevindt zich in het datenbestand sinds 2014-10-10T07:00:32+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2024-03-20T13:17:11+01:00 (Amsterdam)
ISBN/EAN: 3319104330

ISBN - alternatieve schrijfwijzen:
3-319-10433-0, 978-3-319-10433-1
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: venturi, giorgio giorgi, marco panza, lolli, marc gabriel
Titel van het boek: history and philosophy logic, studies logic, boston studies the philosophy science, philosophy practice, italian studies, gabriele buch, the science book, from mathematics philosophy

Gegevens van de uitgever

Auteur: Gabriele Lolli; Marco Panza; Giorgio Venturi
Titel: Boston Studies in the Philosophy and History of Science; From Logic to Practice - Italian Studies in the Philosophy of Mathematics
Uitgeverij: Springer; Springer International Publishing
336 Bladzijden
Verschijningsjaar: 2014-12-11
Cham; CH
Gedrukt / Gemaakt in
Taal: Engels
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
POD
XIX, 336 p. 27 illus., 10 illus. in color.

BB; Hardcover, Softcover / Philosophie/Allgemeines, Lexika; Philosophie: Epistemologie und Erkenntnistheorie; Verstehen; Axioms of Set Theory; Church’s Thesis and Naturalness of Axioms; Constructibility, Naturalism, Axiomatics; Constructive Approach to the Infinitesimal Analysis; Dynamics of Diagrams in Knot Theory; Fundamental Theorem of Algebra; Gottlob Frege’s Grundgesetze; Husserl Raumbuch; Intuitionism and Cognitive Sciences; Languages and the Extension of Knowledge; Mathematics is a Science of Structures; Parametric Polymorphism; Philosophy of Mathematics; Structuralism, Categorical and Set Theoretical Foundations; Epistemology; Mathematical Logic and Foundations; Philosophy of Science; Mathematik: Logik; Mathematische Grundlagen; Wissenschaftsphilosophie und -theorie; EA; BC

This book brings together young researchers from a variety of fields within mathematics, philosophy and logic. It discusses questions that arise in their work, as well as themes and reactions that appear to be similar in different contexts. The book shows that a fairly intensive activity in the philosophy of mathematics is underway, due on the one hand to the disillusionment with respect to traditional answers, on the other to exciting new features of present day mathematics. The book explains how the problem of applicability once again plays a central role in the development of mathematics. It examines how new languages different from the logical ones (mostly figural), are recognized as valid and experimented with and how unifying concepts (structure, category, set) are in competition for those who look at this form of unification. It further shows that traditional philosophies, such as constructivism, while still lively, are no longer only philosophies, but guidelines for research. Finally, the book demonstrates that the search for and validation of new axioms is analyzed with a blend of mathematical historical, philosophical, psychological considerations.

PART I: THE HISTORICAL DIMENSION OF MATHEMATICS.- Chapter 1: A Geometrical Constructive Approach to Infinitesimal Analysis: Epistemological Potential and Boundaries of Tractional Motion; Pietro Milici.- Chapter 2: Plane and Solid Geometry: A Note on Purity of Methods; Paolo Mancosu and Andrew Arana.- Chapter 3: Formalization and Intuition in Husserl's Raumbuch; Edoardo Caracciolo.- PART II: LOOKING AT MATHEMATICS THROUGH LOGIC.- Chapter 4: Frege's Grundgesetze and a Reassessment of Predicativity; Francesca Boccuni.- Chapter 5: A Deflationary Account of the Truth of the Gödel Sentence G; Mario Piazza and Gabriele Pulcini.- Chapter 6: Rule-following and the Limits of Formalization: Wittgenstein's Considerations Through the Lens of Logic; Paolo Pistone.- Chapter 7: Paradox and Inconsistency: Revising Tennant's Distinction Through Schroeder-Heister's Assumption Rules; Luca Tranchini.- Chapter 8: Costructability and Geometry; Alberto Naibo.- Chapter 9: A Cut-like Inference in a Framework of Explicit Composition for Various Calculi of Natural Deduction; Michael Arndt and Laura Tesconi.- Chapter 10: On the Distinction Between Sets and Classes: A Categorical Perspective; Samuele Maschio.- PART III: PHILOSOPHY AND MATHEMATICS.- Chapter 11: Structure and Applicability; Michele Ginammi.- Chapter 12: Defending Maddy's Mathematical Naturalism from Roland's Criticism: The Role of Mathematical Depth; Marina Imocrante.- Chapter 13: On the Indispensable Premises of the Indispensability Argument; Marco Panza and Andrea Sereni.- Chapter 14: Naturalness in Mathematics: On the Statical-dynamical Opposition; Luca San Mauro and Giorgio Venturi.- Chapter 15: An Inquiry Into the Practice of Proving in Low-dimensional Topology; Silvia de Toffoli and Valeria Giardino.

, Springer, 2013.

, Palgrave Mac Millan, Bsingstoke (UK), 2013 (co-authored with Andrea Sereni).

appeared in Philosophia scientae 18(1), 2014.

QED Fenomenologia della dimostrazione Deduction, Computation, Experiment Nascita di un'idea matematica Imagine Math2 Analysis and sinthesis in Mathematics History and Philosophy Newton et les origines de l'analyse, 1664-1666 Plato's Problem Introduction to Mathematical Platoinism Proper forcing remastered Appalachian set theory Foundation of mathematics between theory and practice

This book brings together young researchers from a variety of fields within mathematics, philosophy and logic. It discusses questions that arise in their work, as well as themes and reactions that appear to be similar in different contexts. The book shows that a fairly intensive activity in the philosophy of mathematics is underway, due on the one hand to the disillusionment with respect to traditional answers, on the other to exciting new features of present day mathematics. The book explains how the problem of applicability once again plays a central role in the development of mathematics. It examines how new languages different from the logical ones (mostly figural), are recognized as valid and experimented with and how unifying concepts (structure, category, set) are in competition for those who look at this form of unification. It further shows that traditional philosophies, such as constructivism, while still lively, are no longer only philosophies, but guidelines for research. Finally, the book demonstrates that the search for and validation of new axioms is analyzed with a blend of mathematical historical, philosophical, psychological considerations.


Allows young (untenured) scholars meet philosophy in their (non philosophical) work Revisits traditional questions and explores new realities Demonstrates the limits of formalization Includes supplementary material: sn.pub/extras
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