Left Subsectivity: How to Infer that a Round Peg is Round

Dialectica 70 (4):531-547 (2016)
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Abstract

A property modifier is a function that takes a property to a property. For instance, the modifier short takes the property being a Dutchman to the property being a short Dutchman. Assume that being a round peg is a property obtained by means of modification, round being the modifier and being a peg the input property. Then how are we to infer that a round peg is a peg? By means of a rule of right subsectivity. How are we to infer that a round peg is round? By means of a rule of left subsectivity. This paper puts forward two rules of left subsectivity. The rules fill a gap in the prevalent theory of property modification. The paper also explains why the rules are philosophically relevant.

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Good and Evil.Peter Geach - 1956 - Analysis 17 (2):33 - 42.
Prototype theory and compositionality.H. Kamp - 1995 - Cognition 57 (2):129-191.
The propertreatmentof quanticationin ordinaryenglish.Richard Montague - 1974 - In Richmond H. Thomason, Formal Philosophy. Yale University Press.

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