Mathematical Form in the World

Mathematical Form in the World

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 Hus...

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Veröffentlicht in:Philosophia mathematica 2002-06, Vol.10 (2), p.102-129
1. Verfasser: SMITH, DAVID WOODRUFF
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Sprache:eng
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Husserl, Edmund
Logic
Mathematics
Metaphysics
Phenomenology
Philosophy
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description 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.
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source Oxford University Press Journals All Titles (1996-Current)
subjects Husserl, Edmund
Logic
Mathematics
Metaphysics
Phenomenology
Philosophy
title Mathematical Form in the World
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