Coordinate-free logic

Review of Symbolic Logic 9 (3):522-555 (2016)
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Abstract

A new logic is presented without predicates—except equality. Yet its expressive power is the same as that of predicate logic, and relations can faithfully be represented in it. In this logic we also develop an alternative for set theory. There is a need for such a new approach, since we do not live in a world of sets and predicates, but rather in a world of things with relations between them.

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Joop Leo
Utrecht University

References found in this work

What numbers could not be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
Neutral relations.Kit Fine - 2000 - Philosophical Review 109 (1):1-33.
The Liar: An Essay on Truth and Circularity.Vann McGee - 1991 - Philosophical Review 100 (3):472.
How Involved do You Want to be in a Non-symmetric Relationship?Fraser MacBride - 2014 - Australasian Journal of Philosophy 92 (1):1-16.
The problem of de re modality.Kit Fine - 1989 - In Joseph Almog, John Perry & Howard Wettstein, Themes From Kaplan. New York: Oxford University Press. pp. 197--272.

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