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10816 | We can use mereology to simulate quantification over relations [Lewis] |
Full Idea: We can simulate quantification over relations using megethology. Roughly, a quantifier over relations is a plural quantifier over things that encode ordered pairs by mereological means. | |
From: David Lewis (Mathematics is Megethology [1993], p.18) | |
A reaction: [He credits this idea to Burgess and Haven] The point is to avoid second-order logic, which quantifies over relations as ordered n-tuple sets. |