Logic, Form and Matter

Barry Smith

Proceedings of the Aristotelian Society
Supplementary Volume 55 (1981), 47-63

It is argued, on the basis of ideas derived from Wittgenstein's Tractatus and Husserl's Logical Investigations, that the formal comprehends more than the logical. More specifically: that there exist certain formal-ontological constants (part, whole, overlapping, etc.) which do not fall within the province of logic. A two-dimensional directly depicting language is developed for the representation of the constants of formal ontology, and means are provided for the extension of this language to enable the representation of certain materially necessary relations. The paper concludes with a discussion of the relationship between formal logic, formal ontology, and mathematics.

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