Indeterminate Properties? But why can't an object have indeterminate properties? One answer is as follows. What would it be for something to have an indeterminate property? What would it be, for example, for something to be green, but not any particular shade of green? One explanation is this. X is green, but no particular shade of green, if and only if the following is the case: (1) Either X is green 0 or X is green 1 or X is green 2 or . .. or X is green n - where green 0, green 1, green 2, . .. green n represent all possible determinate shades of green (2) None of the following statements are true: "X is green 0"; "X is green 1"; "X is green 2"; . . . "X is green n-1"; "X is green n". But this situation is logically impossible, for a disjunctive statement cannot be true unless at least one of its disjuncts is true - given the way that the logical connective "or" is defined in terms of truth-tables. The upshot is that unless there is some other way of explaining what it is to have an
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This note was uploaded on 11/09/2011 for the course PHI PHI2010 taught by Professor Jorgerigol during the Fall '09 term at Broward College.