Handbook of the History and Philosophy of Mathematical Practice

Sriraman, Bharath

Handbook of the History and Philosophy of Mathematical Practice

Edited by Bharath Sriraman ()

in Springer Books from Springer

Date: 2024
ISBN: 978-3-031-40846-5
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Chapters in this book:

Introduction to the Handbook of the History and Philosophy of Mathematical Practice: Bharath Sriraman
The History and Philosophy of Mathematical Practice: From Origins to Natural Historians/Philosophers – A Conversation: Bharath Sriraman and Reuben Hersh
Yuri Ivanovich Manin (1937–2023): Mathematics, Philosophy, and Poetry: Athanase Papadopoulos
The Nature of Mathematical Objects: Carlo Cellucci
The Ghost and the Spirit of Pythagoras: Arkady Plotnitsky
The Metaphysics of Platonism: Ulf Persson
Mathematical Practices Can Be Metaphysically Laden: Colin Jakob Rittberg
Definitions (and Concepts) in Mathematical Practice: V. J. W. Coumans
Mathematics and the Method of Abstraction: Kit Fine
Leibniz on Number Systems: Lloyd Strickland
Fermat and Descartes in Light of Premodern Algebra and Viète: Jeffrey A. Oaks
Descartes’ Transformation of Greek Notion of Proportionality: Piotr Błaszczyk
Leonhard Euler Between Mathematics and Natural Philosophy: An Introduction to Natural Science Anleitung zur Naturlehre: Danilo Capecchi
Algebraic Versus Geometric Thought and Expression in the Early Calculus: Viktor Blåsjö
Evolution of Leibniz’s Thought in the Matter of Fictions and Infinitesimals: Monica Ugaglia and Mikhail Katz
René Thom: From Mathematics to Philosophy: Athanase Papadopoulos
Heuristics and Mathematical Practice: Otávio Bueno
Finding a Fit Among Philosophical Finitisms: Eamon Darnell and Aaron Thomas-Bolduc
Introduction to Mathematicians’ Reflections on Practice and Working Philosophy of Mathematics: Athanase Papadopoulos
The Anthyphairetic Interpretation of Knowledge as Recollection in Plato’s Meno 80d-86e and 97a-98b: Stelios Negrepontis
The Mystery of Plato’s Receptacle in the Timaeus Resolved: Stelios Negrepontis and Demetra Kalisperi
The Indivisible Line Coincides with the Platonic Intelligible Being: Stelios Negrepontis
Brouwer’s Intuitionism: Victor Pambuccian
Mathematical Practice as Philosophy, with Galois, Riemann, and Grothendieck: Arkady Plotnitsky
“That Which a Minority Construct”: Abelian Mathematics in Abel, Galois, Noether, and Grothendieck: Arkady Plotnitsky
Pavel Florensky and His World: Athanase Papadopoulos
The Practice of Mathematics in a Totalitarian Society: A. B. Sossinsky
Philosophy Behind Mathematics: Ken’ichi Ohshika
Some Disillusioned Thoughts About School and Teaching: Valentin Poénaru
Influences in Twentieth- and Twenty-First-Century Mathematical Practice: Bharath Sriraman and Kyeonghwa Lee
The Pell Equation in the Pythagoreans, Theaetetus, and Hindu Mathematics: Stelios Negrepontis, Vassiliki Farmaki and Marina Brokou
Ancient Indian Mathematics: Sulbasutras – A Mathematical Review: S. G. Dani
An Ethnoarithmetic Excursion into the Javanese Calendar: Natanael Karjanto and François Beauducel
Historiography of Mathematics from the Mathematician’s Point of View: Viktor Blåsjö
A Tale of Three Cities: Thebes, Babylon, and Alexandria: Maurice Burke
Sir Isaac Newton and Opticks: Jonah Britton and Bharath Sriraman
Olry Terquem’s Forgotten Problem and an Enumerative-Combinatorial Perspective on the Euclidean Algorithm: Robert G. Donnelly, Molly W. Dunkum and Rachel McCoy
The Ethics of Mathematical Practice: Paul Ernest
Grothendieck: A Short Guide to His Mathematical and Philosophical Work (1949–1991): Fernando Zalamea
An Uncertain Travel: Elijah Liflyand
The Unreasonable Effectiveness of Mathematics to Generate New Spatial Imaginaries: Nathalie Sinclair
High Mathematics Meets High Finance: Tom P. Davis
Introduction to Practical, Historical, and Philosophical Instances of Probability: Egan J. Chernoff
How Markov’s Little Idea Transformed Statistics: Jeffrey S. Rosenthal
The Use and Abuse of Probability in Evolutionary Biology: Jason Rosenhouse
Probability Models in Statistical Data Analysis: Uses, Interpretations, Frequentism-as-Model: Christian Hennig
Introduction to the History and Philosophy of Mathematical Practice in Constructing the Reals: Paul M. Livingston
The Continuum and the Evolution of the Concept of Real Number: John L. Bell
On Bolzano and Greek Concepts of Continuity: Piotr Błaszczyk and Marlena Fila
Bolzano’s Theory of meßbare Zahlen: Insights and Uncertainties Regarding the Number Continuum: Elías Fuentes Guillén
Abel’s Approach to Elliptic Integrals: John K. Dagsvik
The Absolute Arithmetic Continuum and Its Geometric Counterpart: Philip Ehrlich
Euclidean and Non-Euclidean Geometry in the History and Philosophy of Mathematical Practice: Bharath Sriraman
Cultures of Mathematical Practice in Alexandria in Egypt: Claudius Ptolemy and His Commentators (Second–Fourth Century CE): Alberto Bardi
Menelaus’ Spherics in Greek and Arabic Mathematics: Athanase Papadopoulos
Copernicus and Axiomatics: Alberto Bardi
Visual Representations of Euclidean Geometry: Diagrammatic Reasoning in Oliver Byrne’s Work: Andrea Pedeferri
From Friezes to Quasicrystals: A History of Symmetry Groups: Franka Miriam Brückler and Vladimir Stilinović
The Notion of Space in Grothendieck: John Alexander Cruz Morales
Geometry in the Twentieth Century: A Return to Euclid – The Work of Herbert Busemann: Athanase Papadopoulos
Logic in the History and Philosophy of Mathematical Practice: Valentina Harizanov
Model Theory of Nonstandard Structures with Applications: Roman Kossak
Computability Theory: Valentina Harizanov, Keshav Srinivasan and Dario Verta
Reverse Mathematics: John Stillwell
Countable Nonstandard Models: Following Skolem’s Approach: Rumen D. Dimitrov and Valentina Harizanov
Fermat’s Last Theorem: Colin McLarty
Proof in the History and Philosophy of Mathematical Practice: An Introduction: Joachim Frans and Bart Van Kerkhove
Diagrammatic Proofs in Mathematics: (Almost) 20 Years of Research: Valeria Giardino
The Social Epistemology of Mathematical Proof: Line Edslev Andersen
The Values of Mathematical Proofs: Rebecca Lea Morris
Formal Proofs in Mathematical Practice: Danielle Macbeth
The Dark Side of the History of Proof: Karine Chemla
Ontology in the History and Philosophy of Mathematical Practice: An Introduction: Michael N. Fried
The Algorithmic-Device View of Informal Rigorous Mathematical Proof: Jody Azzouni
Counterpossibles in Mathematical Practice: The Case of Spoof Perfect Numbers: Alan Baker
What Mathematicians Do: Mathematics as Process and Creative Rationality: William Byers
Platonism, De Re, and (Philosophy of) Mathematical Practice: Marco Panza
One Mathematic(s) or Many? Foundations of Mathematics in Twentieth-Century Mathematical Practice: Andrei Rodin
Multiverse and the Society: Mirna Džamonja
Implicitly Defining Mathematical Terms: Demetra Christopoulou
Non-deductive Justification in Mathematics: A. C. Paseau
Experimental Mathematics in Mathematical Practice: Jessica Carter
The Role of Experiments in Experimental Mathematics: Henrik Kragh Sørensen
Revisiting “The New 4CT Problem”: Mark McEvoy
Proofs, Arbitrary Exemplifications, and Inductive Generalizations in Euler’s Mathematical Practice: Giovanni Ferraro
Mathematical Experiments on Paper and Computer: Dirk Schlimm and Juan Fernández González
Thought Experiments in Mathematics: From Fiction to Facts: Irina Starikova
The Intimate Interplay Between Experimentation and Deduction: Some Classroom Implications: Michael de Villiers and Hans Niels Jahnke
Introduction to Views from Other Domains: Andrew Aberdein
Inverting Hierarchies: The Sociology of Mathematical Practice: Michael J. Barany and Milena I. Kremakova
Practice Makes Perfectoid: Michael J. Barany
Mathematics Education Research on Mathematical Practice: Keith Weber and Matthew Inglis
Argumentation in Mathematical Practice: Andrew Aberdein and Zoe Ashton
Rhetorical Approaches to the Study of Mathematical Practice: G. Mitchell Reyes
Bayesian Perspectives on Mathematical Practice: James Franklin
Polymath as an Epistemic Community: Patrick Allo, Jean Paul Van Bendegem and Bart Van Kerkhove
Is Mathematics Connected to Religion?: Stanisław Krajewski
New Perspectives: An Introduction: Valeria Giardino
What Are Mathematical Practices? The Web-of-Practices Approach: José Ferreirós
Experiments in Mathematics: Fact, Fiction, or the Future?: Jean Paul Van Bendegem
The Social Constitution of Mathematical Knowledge: Objectivity, Semantics, and Axiomatics: Paola Cantù
The Epistemological Subject(s) of Mathematics: Silvia De Toffoli
Agency in Mathematical Practice: Yacin Hamami
The Language of Proofs: A Philosophical Corpus Linguistics Study of Instructions and Imperatives in Mathematical Texts: Fenner Stanley Tanswell and Matthew Inglis
Introduction to the Semiology of Mathematical Practice: Juan Luis Gastaldi
Signs as a Theme in the Philosophy of Mathematical Practice: David Waszek
Structural Semiotics as an Ontology of Mathematics: Roi Wagner
Shaping, Revisited: Reviel Netz
Mathematical Practices and Written Evidence: General Reflections Based on a Historian’s Experience: Karine Chemla
What Happens, from a Historical Point of View, When We Read a Mathematical Text?: Lucien Vinciguerra
Symbolic Algebra as a Semiotic System: Ladislav Kvasz
Reading Mathematical Texts with Structuralist Semiotics: Anna Kiel Steensen
The Design of Mathematical Language: Jeremy Avigad
How to Do Maths with Words: Neural Machine Learning Applications to Mathematics and Their Philosophical Significance: Juan Luis Gastaldi

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprbok:978-3-031-40846-5

Ordering information: This item can be ordered from
http://www.springer.com/9783031408465

DOI: 10.1007/978-3-031-40846-5

Access Statistics for this book

More books in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().