ISBN:
9789048137299
,
1282927612
,
9781282927612
Sprache:
Englisch
Seiten:
Online-Ressource (XXVII, 216p, digital)
Serie:
Phaenomenologica, Published Under the Auspices of the Husserl-Archives 195
Serie:
SpringerLink
Serie:
Bücher
Paralleltitel:
Buchausg. u.d.T. Phenomenology and mathematics
Schlagwort(e):
Philosophy (General)
;
Logic
;
Phenomenology
;
Science Philosophy
;
Mathematics_$xHistory
;
Philosophy
;
Philosophy (General)
;
Logic
;
Phenomenology
;
Science Philosophy
;
Mathematics_$xHistory
;
Aufsatzsammlung
;
Phänomenologie
;
Mathematik
;
Husserl, Edmund 1859-1938
;
Phänomenologie
;
Mathematik
;
Phänomenologie
;
Mathematik
;
Husserl, Edmund 1859-1938
Kurzfassung:
During Edmund Husserl,s lifetime, modern logic and mathematics rapidly developed toward their current outlook and Husserl,s writings can be fruitfully compared and contrasted with both 19th century figures (Boole, Schroder, Weierstrass) as well as the 20th century characters (Heyting, Zermelo, Godel). Besides the more historical studies, the internal ones on Husserl alone and the external ones attempting to clarify his role in the more general context of the developing mathematics and logic, Husserl,s phenomenology offers also a systematically rich but little researched area of investigation
Beschreibung / Inhaltsverzeichnis:
PHENOMENOLOGY AND MATHEMATICS; Contents; Acknowledgements; Contributors; List of Abbreviations; Introduction; I Mathematical Realism and Transcendental Phenomenological Idealism; I. Standard Simple Formulations of Realism and Idealism (Anti-Realism) About Mathematics; I. Introduction; I. Introduction; II. Mathematical Realism; II. Benacerrafs Dilemma and Some Negative or Skeptical Solutions; II. R-Structured Wholes; III. Transcendental Phenomenological Idealism; IV. Mind-Independence and Mind-Dependence in Formulations of Mathematical Realism; IV. Meaningless Symbols in PA
Beschreibung / Inhaltsverzeichnis:
V. Compatibility or Incompatibility?V. Categorial Intuition; V. Logical Systems; III. Benacerrafs Dilemma and Kantian Structuralism; VI. Brief Interlude: Where to Place Gdel, Brouwer, and Other Mathematical Realists and Idealists in our Schematization?; VII. A Conclusion and an Introduction; VI. Imaginary Elements: Earlier Treatment; VII. Imaginary Elements: Later Treatment; IV. The HW Theory; V. Conclusion: Benacerrafs Dilemma Again and Recovered Paradise; References; II Platonism, Phenomenology, and Interderivability; I. Introduction; II. Phenomenology, Constructivism and Platonism
Beschreibung / Inhaltsverzeichnis:
III. InterderivabilityIV. Situations of Affairs: Historical Preliminaries; V. Situations of Affairs: Systematic Treatment; VI. Conclusion; VII. Appendix; References; III husserl on axiomatization andarithmetic; I. Introduction; II. Husserls Initial Opposition to the Axiomatization of Arithmetic; III. Husserls VOLTE-FACE Volte-Face; IV. Analysis of the Concept of Number; V. Calculating with Concepts and Propositions; VI. Three Levels of Logic; VII. Manifolds and Imaginary Numbers; VIII. Mathematics and Phenomenology; VIII. Formal Ontology; IX. What Numbers Could Not Be For Husserl
Beschreibung / Inhaltsverzeichnis:
IX. Critical ConsiderationsX. The Problem of Symbolic Knowledge in the Development of Husserls Philosophy; X. Conclusion; References; IV Intuition in Mathematics: on the Function of Eidetic Variation in Mathematical Proofs; I. Some Basic Features of Husserls Theory of Knowledge; II. The Method of Seeing Essences in Mathematical Proofs; 1. The Eidetic Method (Wesensschau) Used for Real Objects; 1. Pre-emptive Negative or Skeptical Solutions; 1. Preliminaries; 2. Eidetics in Material Mathematical Disciplines; 2. Concessive Negative or Skeptical Solutions; 2. The Part-of Relation
Beschreibung / Inhaltsverzeichnis:
3. Eidetics in Formal-Axiomatic Contexts3. One Sort of Structured Wholes: R-Structured Wholes; References; V How Can a Phenomenologist Have a Philosophy of Mathematics?; References; VI The Development of Mathematics and the Birth of Phenomenology; I. Weierstrass and Mathematics as Rigorous Science; II. Husserl in Weierstrasss Footsteps; III. Philosophy of Arithmetic as an Analysis of the Concept of Number; IV. Logical Investigations and the Axiomatic Approach; VI. Aristotle or Plato (and Which Plato)?; VII. Platonism of the Eternal, Self-Identical, Unchanging Objectivities
Beschreibung / Inhaltsverzeichnis:
VIII. Platonism as an Aspiration for Reflected Foundations
Anmerkung:
Includes bibliographical references and index
DOI:
10.1007/978-90-481-3729-9
URL:
Volltext
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