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13638 | Properties are often seen as intensional; equiangular and equilateral are different, despite identity of objects [Shapiro] |
Full Idea: Properties are often taken to be intensional; equiangular and equilateral are thought to be different properties of triangles, even though any triangle is equilateral if and only if it is equiangular. | |
From: Stewart Shapiro (Foundations without Foundationalism [1991], 1.3) | |
A reaction: Many logicians seem to want to treat properties as sets of objects (red being just the set of red things), but this looks like a desperate desire to say everything in first-order logic, where only objects are available to quantify over. |