|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910464778403321 |
|
|
Titolo |
The space of mathematics : philosophical, epistemological, and historical explorations / / edited by Javier Echeverria, Andoni Ibarra, Thomas Mormann |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Berlin ; ; New York : , : W. de Gruyter, , 1992 |
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[Reprint 2012] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (440 pages) : illustrations |
|
|
|
|
|
|
Collana |
|
Grundlagen der Kommunikation und Kognition = Foundations of communication and cognition |
|
|
|
|
|
|
|
|
Classificazione |
|
|
|
|
|
|
Altri autori (Persone) |
|
EcheverríaJavier |
IbarraAndoni |
MormannThomas <1951-> |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Mathematics - Philosophy |
Mathematics - History |
Electronic books. |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Rev. papers presented at a symposium on structures in mathematical theories, held in Sept. 1990 in Donostia/San Sebastian, Spain. |
|
|
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
Nota di contenuto |
|
Frontmatter -- Table of Contents -- Acknowledgments -- Introductory afterthoughts -- The Protean Character of Mathematics -- Categories of Space and of Quantity -- Structural Analogies Between Mathematical and Empirical Theories -- Reduction and Explanation: Science vs. Mathematics -- Reality, Truth, and Confirmation in Mathematics – Reflections on the Quasi-Empiricist Programme -- Tacit Knowledge in Mathematical Theory -- Structure-Similarity as a Cornerstone of the Philosophy of Mathematics -- Applying Mathematics and the Indispensability Argument -- Mathematical Structures and Physical Necessity -- The Role of Mathematics in Physical Science -- The Status of Set-theoretic Axioms in Empirical Theories -- Suppes Predicates for Classical Physics -- Mathematics in Philosophy -- Are There Revolutions in Mathematics? -- Observations, Problems and Conjectures in Number Theory – The History of the Prime Number Theorem -- Historical Aspects of the Foundations of Error Theory -- A Structuralist View of Lagrange’s Algebraic Analysis and the German Combinatorial School -- Constructivism and Objects of Mathematical |
|
|
|
|