Non-symmetric Relations

Abstract
Presupposing that most predicates do not correspond directly to genuine relations, I argue that all genuine relations are symmetric. My main argument depends on the premise that there are no brute necessities, interpreted so as to require logical and metaphysical necessity to coincide for sentences composed entirely of logical vocabulary and primitive predicates. Given this premise, any set of purportedly primitive predicates by which one might hope to express the facts about non-symmetric relations order their relata will generate an objectionable multiplication of possibilities. In the final section I give a different argument, based on the weaker premise that brute necessities should not be multiplied without necessity.
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Citations of this work BETA
Cian Dorr (2011). Physical Geometry and Fundamental Metaphysics. Proceedings of the Aristotelian Society 111 (1pt1):135-159.
Peter Simons (2010). Relations and Truthmaking. Aristotelian Society Supplementary Volume 84 (1):199-213.
Kris McDaniel (2009). Structure-Making. Australasian Journal of Philosophy 87 (2):251-274.
Meghan Sullivan (2012). The Minimal A-Theory. Philosophical Studies 158 (2):149-174.

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