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Predicate.md (564B)


      1 # Predicate
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      3 U 1.4.1
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      5 **Definition:** The predicate in a mathematical context is the part of a statement that gives us a truth value when variables are at play.
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      7 In the case of 'x < 2' the predicate is 'less than 2'. This can be stated as a propositional function P(x). The following are valid inputs and outputs of said function:
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      9 P(1) = True
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     11 P(2) = False
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     13 P(3) = False
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     15 Another example is 'x + y = z' denoted as R(x,y,z) where the predicate is '='.
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     17 R(2, -1, 5) = False
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     19 R(3, 4, 7) = True
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     21 R(x, 3, z) not a proposition, but R is still a propositional function.