Origins and varieties of logicism: on the logico-philosophical foundations of mathematics
Gespeichert in:
| Weitere beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY ; London
Routledge
2022
|
| Schriftenreihe: | Routledge studies in the philosophy of mathematics and physics
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033196175&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Abstract: | "This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics. It uniquely provides up-to-date research and novel interpretations on a variety of intertwined themes and historical figures related to different versions of logicism. The essays, written by established and up-and-coming scholars, are divided into three thematic sections. The first section focuses on major authors like Frege, Russell, and Carnap, providing a historical and theoretical exploration of such figures in the philosophical and mathematical milieu in which logicist views were first expounded. Section II sheds new light on the interconnections between these founding figures and a number of influential other traditions, represented by authors like Bolzano, Dedekind, Husserl, Peano, Hilbert, Goedel, and Wittgenstein. Finally, the third section assesses the legacy of such authors and of logicist themes for contemporary philosophy of mathematics, offering new perspectives on highly debated topics-neo-Logicism, set-theory, abstractionism, the relation between cardinal and ordinal conceptions of numbers, and mathematical cognition-which define the prospects of logicism in the years to come. This book represents a comprehensive account of the development of logicism and its contemporary relevance. It will be of interest to graduate students and researchers working in philosophy of mathematics, philosophy of logic, and the history of analytic philosophy"-- |
| Umfang: | xi, 405 Seiten 24 cm |
| ISBN: | 9780367230050 |
Internformat
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| 520 | 3 | |a "This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics. It uniquely provides up-to-date research and novel interpretations on a variety of intertwined themes and historical figures related to different versions of logicism. The essays, written by established and up-and-coming scholars, are divided into three thematic sections. The first section focuses on major authors like Frege, Russell, and Carnap, providing a historical and theoretical exploration of such figures in the philosophical and mathematical milieu in which logicist views were first expounded. Section II sheds new light on the interconnections between these founding figures and a number of influential other traditions, represented by authors like Bolzano, Dedekind, Husserl, Peano, Hilbert, Goedel, and Wittgenstein. Finally, the third section assesses the legacy of such authors and of logicist themes for contemporary philosophy of mathematics, offering new perspectives on highly debated topics-neo-Logicism, set-theory, abstractionism, the relation between cardinal and ordinal conceptions of numbers, and mathematical cognition-which define the prospects of logicism in the years to come. This book represents a comprehensive account of the development of logicism and its contemporary relevance. It will be of interest to graduate students and researchers working in philosophy of mathematics, philosophy of logic, and the history of analytic philosophy"-- | |
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Datensatz im Suchindex
| _version_ | 1819342529713143808 |
|---|---|
| adam_text | Contents Preface and Acknowledgments 1 Origins and Varieties of Logicism: An Overview ix 1 FRANCESCA BOCCUNI AND ANDREA SERENI PARTI Origins 2 Frege on Caesar and Hume’s Principle 25 27 PATRICIA BLANCHETTE 3 The Role of Truth 55 ROBERT MAY 4 Anzahlen and Werthverläufe. Are There Objects Other Than Value-Ranges in Frege’s Universe? An Argument From Grundgesetze, §§1.34-40 79 MARCO PANZA 5 Dedekind’s Logicismi A Reconsideration and Contextualization 119 ERICH H. RECK 6 Logical Form and the Development of Russell’s Logicism KEVIN C. KLEMENT 147
viii Contents PART Π Dangerous Liaisons 7 Frege and Hilbert on Conceptual Analysis and Foundations: Some Remarks 167 169 MICHAEL HALLETT 8 The Chimera of Logicismi Husserl’s Criticism of Frege 197 MIRJA HARTIMO 9 Peano’s Philosophical Views between Structuralism and Logicism 215 PAOLA CANTÙ 10 Logicism in Logical Empiricism 243 GEORG SCHIEMER PART Ш The Roads Ahead 267 11 Ordinals by Abstraction 269 BOB HALE 12 Logicism, Separation, and Complement 289 ROY T. COOK 13 Principia Mathematica Redux 309 GREGORY LANDINI 14 The Ontology of Abstraction, From Neo-Fregean to Neo-Dedekindian Logicism 349 FIONA DOHERTY 15 Frege’s Theorem and Mathematical Cognition 372 LIEVEN DECOCK List of Contributors Index 395 396
|
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| indexdate | 2024-12-20T19:29:08Z |
| institution | BVB |
| isbn | 9780367230050 |
| language | English |
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| physical | xi, 405 Seiten 24 cm |
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| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Routledge |
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| series2 | Routledge studies in the philosophy of mathematics and physics |
| spellingShingle | Origins and varieties of logicism on the logico-philosophical foundations of mathematics Frege, Gottlob 1848-1925 (DE-588)118535161 gnd Mathematische Logik (DE-588)4037951-6 gnd Logik (DE-588)4036202-4 gnd |
| subject_GND | (DE-588)118535161 (DE-588)4037951-6 (DE-588)4036202-4 (DE-588)4143413-4 |
| title | Origins and varieties of logicism on the logico-philosophical foundations of mathematics |
| title_auth | Origins and varieties of logicism on the logico-philosophical foundations of mathematics |
| title_exact_search | Origins and varieties of logicism on the logico-philosophical foundations of mathematics |
| title_full | Origins and varieties of logicism on the logico-philosophical foundations of mathematics edited by Francesca Boccuni and Andrea Sereni |
| title_fullStr | Origins and varieties of logicism on the logico-philosophical foundations of mathematics edited by Francesca Boccuni and Andrea Sereni |
| title_full_unstemmed | Origins and varieties of logicism on the logico-philosophical foundations of mathematics edited by Francesca Boccuni and Andrea Sereni |
| title_short | Origins and varieties of logicism |
| title_sort | origins and varieties of logicism on the logico philosophical foundations of mathematics |
| title_sub | on the logico-philosophical foundations of mathematics |
| topic | Frege, Gottlob 1848-1925 (DE-588)118535161 gnd Mathematische Logik (DE-588)4037951-6 gnd Logik (DE-588)4036202-4 gnd |
| topic_facet | Frege, Gottlob 1848-1925 Mathematische Logik Logik Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033196175&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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