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The Resource From Logic to Practice : Italian Studies in the Philosophy of Mathematics, edited by Gabriele Lolli, Marco Panza, Giorgio Venturi, (electronic resource)
From Logic to Practice : Italian Studies in the Philosophy of Mathematics, edited by Gabriele Lolli, Marco Panza, Giorgio Venturi, (electronic resource)
Resource Information
The item From Logic to Practice : Italian Studies in the Philosophy of Mathematics, edited by Gabriele Lolli, Marco Panza, Giorgio Venturi, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item From Logic to Practice : Italian Studies in the Philosophy of Mathematics, edited by Gabriele Lolli, Marco Panza, Giorgio Venturi, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 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
 Language
 eng
 Extent
 XIX, 336 p. 27 illus., 10 illus. in color.
 Contents

 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 GĂ¶del Sentence G; Mario Piazza and Gabriele Pulcini
 Chapter 6: Rulefollowing 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 SchroederHeister's Assumption Rules; Luca Tranchini
 Chapter 8: Costructability and Geometry; Alberto Naibo
 Chapter 9: A Cutlike 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 Staticaldynamical Opposition; Luca San Mauro and Giorgio Venturi
 Chapter 15: An Inquiry Into the Practice of Proving in Lowdimensional Topology; Silvia de Toffoli and Valeria Giardino
 Isbn
 9783319104348
 Label
 From Logic to Practice : Italian Studies in the Philosophy of Mathematics
 Title
 From Logic to Practice
 Title remainder
 Italian Studies in the Philosophy of Mathematics
 Statement of responsibility
 edited by Gabriele Lolli, Marco Panza, Giorgio Venturi
 Subject

 Genetic epistemology
 Genetic epistemology
 Science  Philosophy
 Mathematical Logic and Foundations
 Epistemology
 Logic, Symbolic and mathematical
 Logic, Symbolic and mathematical
 Philosophy
 Electronic resources
 Philosophy of Science
 Science  Philosophy
 Science  Philosophy
 Logic, Symbolic and mathematical
 Philosophy (General)
 Genetic epistemology
 Language
 eng
 Summary
 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
 Image bit depth
 0
 LC call number
 BD143237
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Lolli, Gabriele.
 Panza, Marco.
 Venturi, Giorgio.
 SpringerLink
 Series statement
 Boston Studies in the Philosophy and History of Science,
 Series volume
 308
 http://library.link/vocab/subjectName

 Philosophy (General)
 Genetic epistemology
 Science
 Logic, Symbolic and mathematical
 Philosophy
 Epistemology
 Mathematical Logic and Foundations
 Philosophy of Science
 Label
 From Logic to Practice : Italian Studies in the Philosophy of Mathematics, edited by Gabriele Lolli, Marco Panza, Giorgio Venturi, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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 GĂ¶del Sentence G; Mario Piazza and Gabriele Pulcini  Chapter 6: Rulefollowing 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 SchroederHeister's Assumption Rules; Luca Tranchini  Chapter 8: Costructability and Geometry; Alberto Naibo  Chapter 9: A Cutlike 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 Staticaldynamical Opposition; Luca San Mauro and Giorgio Venturi  Chapter 15: An Inquiry Into the Practice of Proving in Lowdimensional Topology; Silvia de Toffoli and Valeria Giardino
 Dimensions
 unknown
 Extent
 XIX, 336 p. 27 illus., 10 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319104348
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319104348
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319104348
 Label
 From Logic to Practice : Italian Studies in the Philosophy of Mathematics, edited by Gabriele Lolli, Marco Panza, Giorgio Venturi, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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 GĂ¶del Sentence G; Mario Piazza and Gabriele Pulcini  Chapter 6: Rulefollowing 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 SchroederHeister's Assumption Rules; Luca Tranchini  Chapter 8: Costructability and Geometry; Alberto Naibo  Chapter 9: A Cutlike 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 Staticaldynamical Opposition; Luca San Mauro and Giorgio Venturi  Chapter 15: An Inquiry Into the Practice of Proving in Lowdimensional Topology; Silvia de Toffoli and Valeria Giardino
 Dimensions
 unknown
 Extent
 XIX, 336 p. 27 illus., 10 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319104348
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319104348
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319104348
Subject
 Electronic resources
 Epistemology
 Genetic epistemology
 Genetic epistemology
 Genetic epistemology
 Logic, Symbolic and mathematical
 Logic, Symbolic and mathematical
 Logic, Symbolic and mathematical
 Mathematical Logic and Foundations
 Philosophy
 Philosophy (General)
 Philosophy of Science
 Science  Philosophy
 Science  Philosophy
 Science  Philosophy
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