propositional function

American  

noun

Logic.

1. sentential function.

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propositional function British  

noun

1. another name for open sentence

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Etymology

Origin of propositional function

First recorded in 1900–05

Example Sentences

Until this theory was brought forward, there were occasionally discussions as to whether an object which did not belong to the range of a certain propositional function possessed the corresponding property or not.

From The philosophy of B*rtr*nd R*ss*ll by Various

Thus we should be led to the following definition:— "Necessary is a predicate of a propositional function, meaning that it is true for all possible values of its argument or arguments."

From Mysticism and Logic and Other Essays by Russell, Bertrand

What is meant seems to be this: "A proposition is necessary when it is a value of a propositional function which is true under all circumstances, i.e. for all values of its argument or arguments."

From Mysticism and Logic and Other Essays by Russell, Bertrand

Thus the true subject of our judgment is a propositional function, i.e. a complex containing an undetermined constituent, and becoming a proposition as soon as this constituent is determined.

From Mysticism and Logic and Other Essays by Russell, Bertrand

For the text is rather a vague symbolical expression of a propositional function which is asserted to be true at all instants.

From The philosophy of B*rtr*nd R*ss*ll by Various