Husserl or Frege? Meaning, Objectivity, and Mathematics

by Hill, Claire Ortiz; Haddock, Guillermo E.Rosado

• ISBN13: 9780812695380
• ISBN10: 0812695380
• Edition: Reprint
• Format: Paperback
• Copyright: 2003-02-28
• Publisher: Open Court

Summary

Edmund Husserl's work on the philosophy of meaning, logic, and mathematics has been badly misunderstood in the English-speaking world. Claire Ortiz Hill and Guillermo E. Rosado Haddock have worked and written independently, but in complementary fashion, to develop a more accurate interpretation. Their view of the relation between Husserl and Frege was once considered radical but is now widely accepted. Husserl or Frege? brings together some of the most important and illuminating works of Hill and Rosado Haddock, to present a unified and persuasive exposition of the new interpretation. Book jacket.

Author Biography

A native of Santa Fe, New Mexico, where her family has lived for three centuries, Claire Ortiz Hill is now a religious hermit with the Archdiocese of Paris and an independent scholar. She is a graduate of the University of California, Riverside, and the Universite de Paris, Sorbonne, and studied German at the universities of Halle, Erfurt, Leipzig, and Magdeburg. She has taught philosophy, taught English to refugees, done translations, and been a social worker in Washington, D.C. Guillermo E. Rosado Haddock is professor of philosophy at the Universidad de Puerto Rico, Rio Piedras

Table of Contents

Acknowledgments	p. ix
Introduction	p. xi
Husserl and Frege on Substitutivity	p. 1
Remarks on Sense and Reference in Frege and Husserl	p. 23
Identity Statements in the Semantics of Sense and Reference	p. 41
On Frege's Two Notions of Sense	p. 53
The Varied Sorrows of Logical Abstraction	p. 67
Frege's Attack on Husserl and Cantor	p. 95
Abstraction and Idealization in Georg Cantor and Edmund Husserl Prior to 1895	p. 109
Did Georg Cantor Influence Edmund Husserl?	p. 137
Husserl's Mannigfaltigkeitslehre	p. 161
Husserl and Hilbert on Completeness	p. 179
To Be a Fregean or To Be a Husserlian: That is the Question for Platonists	p. 199
Husserl's Epistemology of Mathematics and the Foundation of Platonism in Mathematics	p. 221
Interderivability of Seemingly Unrelated Mathematical Statements and the Philosophy of Mathematics	p. 241
On Husserl's Distinction Between State of Affairs (Sachverhalt) and Situation of Affairs (Sachlage)	p. 253
On Anti-Platonism and Its Dogmas	p. 263
Bibliography	p. 291
Index	p. 305
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