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propositional function

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propositional function

Sentencelike expression that may be thought of as obtained from a sentence by substituting variables for constants occurring in the sentence. For example, “x was a parent of y” may be thought of as obtained from “Adam was a parent of Abel.” A propositional function therefore has no truth-value, becoming true or false only when its free variables are replaced by constants of appropriate syntactic categories (e.g., “Abraham was a parent of Isaac”).


propositional function [‚präp·ə¦zish·ən·əl ′fəŋk·shən]
(mathematics)
An expression that becomes a proposition when the values of certain symbols in the expression are specified, and that is either true or false depending on these values. Also known as logical function; open sentence; open statement; predicate; sentential function; statement function.


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He argues that Wittgenstein solved Russell's paradox by preventing a propositional function from being an argument of itself (2000: 439).
In our lives, most of our miseries do not originate in the field where the terms 'true' and 'false' apply, but in the field where they do not apply; namely, in the immense region of propositional functions and meaninglessness, where agreement must fail" (Korzybski, 1994, p.
The connection between this principle and the notion of propositional function is not hard to trace.
 
 
 
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