Buch, Englisch, Band 71, 454 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 739 g
Buch, Englisch, Band 71, 454 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 739 g
Reihe: The Western Ontario Series in Philosophy of Science
ISBN: 978-90-481-7090-6
Verlag: Springer Netherlands
This volume collects together a number of important papers concerning both the method of abstraction generally and the use of particular abstraction principles to reconstruct central areas of mathematics along logicist lines. Attention is focused on extending the Neo-Fregean treatment to all of mathematics, with the reconstruction of real analysis from various cut- or cauchy-sequence-related abstraction principles and the reconstruction of set theory from various restricted versions of Basic Law V as case studies.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Wissenschaften: Theorie, Epistemologie, Methodik
- Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie
- Geisteswissenschaften Philosophie Wissenschaftstheorie, Wissenschaftsphilosophie
- Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
Weitere Infos & Material
The Philosophy and Mathematics of Hume’s Principle.- Is Hume’s Principle Analytic?.- Is Hume’s Principle Analytic?.- Frege, Neo-Logicism and Applied Mathematics.- Finitude and Hume’s Principle.- On Finite Hume.- Could Nothing Matter?.- On the Philosophical Interest of Frege Arithmetic.- The Logic of Abstraction.- “Neo-Logicist” Logic is not Epistemically Innocent.- Aristotelian Logic, Axioms, and Abstraction.- Frege’s Unofficial Arithmetic.- Abstraction and the Continuum.- Reals by Abstraction.- The State of the Economy: Neo-Logicism and Inflation.- Frege Meets Dedekind: A Neo-Logicist Treatment of Real Analysis.- Neo-Fregean Foundations for Real Analysis: Some Reflections on Frege’s Constraint.- Basic Law V and Set Theory.- New V, ZF, and Abstraction.- Well- and Non-Well-Founded Fregean Extensions.- Abstraction & Set Theory.- Prolegomenon to Any Future Neo-Logicist Set Theory: Abstraction and Indefinite Extensibility.- Neo-Fregeanism: An Embarrassment of Riches.- Iteration one More Time.
