國立虎尾科技大學 |

From Logic to Practice = Italian Studies in the Philosophy of Mathematics /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	From Logic to Practice/ edited by Gabriele Lolli, Marco Panza, Giorgio Venturi.
Reminder of title:	Italian Studies in the Philosophy of Mathematics /
other author:	Lolli, Gabriele.
Description:	XIX, 336 p. 27 illus., 10 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Epistemology. -
Online resource:	https://doi.org/10.1007/978-3-319-10434-8
ISBN:	9783319104348

From Logic to Practice = Italian Studies in the Philosophy of Mathematics /
From Logic to PracticeItalian Studies in the Philosophy of Mathematics /[electronic resource] :edited by Gabriele Lolli, Marco Panza, Giorgio Venturi. - 1st ed. 2015. - XIX, 336 p. 27 illus., 10 illus. in color.online resource. - Boston Studies in the Philosophy and History of Science,3080068-0346 ;. - Boston Studies in the Philosophy and History of Science,307.

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.

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.

ISBN: 9783319104348

Standard No.: 10.1007/978-3-319-10434-8doiSubjects--Topical Terms:

671538
Epistemology.

LC Class. No.: BD143-237

Dewey Class. No.: 120

From Logic to Practice = Italian Studies in the Philosophy of Mathematics /
LDR:04480nam a22004095i 4500 001 961764
003 DE-He213
005 20200919234748.0
007 cr nn 008mamaa
008 201211s2015 gw | s |||| 0|eng d
020 $a 9783319104348 $9 978-3-319-10434-8
024 7 $a 10.1007/978-3-319-10434-8 $2 doi
035 $a 978-3-319-10434-8
050 4 $a BD143-237
072 7 $a HPK $2 bicssc
072 7 $a PHI004000 $2 bisacsh
072 7 $a QDTK $2 thema
082 0 4 $a 120 $2 23
245 1 0 $a From Logic to Practice $h [electronic resource] : $b Italian Studies in the Philosophy of Mathematics / $c edited by Gabriele Lolli, Marco Panza, Giorgio Venturi.
250 $a 1st ed. 2015.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a XIX, 336 p. 27 illus., 10 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Boston Studies in the Philosophy and History of Science, $x 0068-0346 ; $v 308
505 0 $a 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.
520 $a 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.
650 0 $a Epistemology. $3 671538
650 0 $a Mathematical logic. $2 bicssc $3 810627
650 0 $a Philosophy and science. $3 555818
650 2 4 $a Mathematical Logic and Foundations. $3 669393
650 2 4 $a Philosophy of Science. $3 668204
700 1 $a Lolli, Gabriele. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 680721
700 1 $a Panza, Marco. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 940300
700 1 $a Venturi, Giorgio. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1064315
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319104355
776 0 8 $i Printed edition: $z 9783319104331
776 0 8 $i Printed edition: $z 9783319348452
830 0 $a Boston Studies in the Philosophy and History of Science, $x 0068-0346 ; $v 307 $3 1255348
856 4 0 $u https://doi.org/10.1007/978-3-319-10434-8
912 $a ZDB-2-SHU
912 $a ZDB-2-SXPR
950 $a Humanities, Social Sciences and Law (SpringerNature-11648)
950 $a Philosophy and Religion (R0) (SpringerNature-43725)