open sentence


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open sentence

n. Mathematics
An expression that contains at least one unknown quantity and becomes true or false when a test value is substituted for the unknown.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

open sentence

n
(Logic) logic an expression containing a free variable that can be replaced by a name to yield a sentence, as x is wise. Also called: propositional function or sentential function
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

senten′tial func′tion



n. Logic.
an expression containing one or more variables that becomes meaningful when constant terms are substituted.
Also called open sentence, propositional function.
[1945–50]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
References in periodicals archive ?
A CONVICTED drug dealer prompted laughter in court when he told a judge, "Hand me an open sentence".
He does not pose a significant enough risk to the public to warrant the open sentence.
This paper investigates prospective elementary and secondary school teachers' understanding of proof in a case where the truth set of an open sentence is broader than the set covered by a valid proof by mathematical induction.