Philosophia Mathematica 10 (2):102-129 (2002)

Authors
David Smith
St. Francis Xavier University
Abstract
This essay explores an ideal notion of form (mathematical structure) that embraces logical, phenomenological, and ontological form. Husserl envisioned a correlation among forms of expression, thought, meaning, and object—positing ideal forms on all these levels. The most puzzling formal entities Husserl discussed were those he called ‘manifolds’. These manifolds, I propose, are forms of complex states of affairs or partial possible worlds representable by forms of theories (compare structuralism). Accordingly, I sketch an intentionality-based semantics correlating these four Husserlian levels of form—thereby integrating logic, phenomenology, and ontology.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/philmat/10.2.102
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 50,342
Through your library

References found in this work BETA

Critique of Pure Reason.Immanuel Kant - 1991 - In Elizabeth Schmidt Radcliffe, Richard McCarty, Fritz Allhoff & Anand Vaidya (eds.), Philosophy and Phenomenological Research. Blackwell. pp. 449-451.
Mathematics as a Science of Patterns.Michael D. Resnik - 1997 - New York ;Oxford University Press.
Knowledge and Belief.Jaakko Hintikka - 1962 - Ithaca: Cornell University Press.

View all 34 references / Add more references

Citations of this work BETA

Mathematizing Phenomenology.Jeffrey Yoshimi - 2007 - Phenomenology and the Cognitive Sciences 6 (3):271-291.
Intentionality and Picturing: Early Husserl Vis-À-Vis Early Wittgenstein.David Woodruff Smith - 2002 - Southern Journal of Philosophy 40 (Supplement):153-180.

Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
85 ( #107,735 of 2,326,062 )

Recent downloads (6 months)
12 ( #50,772 of 2,326,062 )

How can I increase my downloads?

Downloads

My notes