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Ideas for 'Possible Worlds and Necessary A Posteriori', 'Logic for Philosophy' and 'reports'

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2 ideas

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic

13696	When a variable is 'free' of the quantifier, the result seems incapable of truth or falsity [Sider]
	Full Idea: When a variable is not combined with a quantifier (and so is 'free'), the result is, intuitively, semantically incomplete, and incapable of truth or falsity.
	From: Theodore Sider (Logic for Philosophy [2010], 4.2)

5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic

13700	A 'total' function must always produce an output for a given domain [Sider]
	Full Idea: Calling a function a 'total' function 'over D' means that the function must have a well-defined output (which is a member of D) whenever it is given as inputs any n members of D.
	From: Theodore Sider (Logic for Philosophy [2010], 5.2)