Definition: Open sentence, Vacuously True
49 views
Skip to first unread message
Kapil Gupta
Aug 24, 2015, 8:28:36 AM8/24/15
to Discrete Mathematics and Logic
A statement is a sentence or a mathematical expression that is either
definitely true or definitely false.
A sentence that involves one or more variable, is called open sentence
and without knowing the value of all the variable(s), it is impossible to
associate the truth value with the proposition. Since it is not definite
that the sentence is definitely true or definitely false, It is not a
statement.
Also, the sentence
p(x) for all x in Null Set
is always true and is called vacuously true
definitely true or definitely false.
A sentence that involves one or more variable, is called open sentence
and without knowing the value of all the variable(s), it is impossible to
associate the truth value with the proposition. Since it is not definite
that the sentence is definitely true or definitely false, It is not a
statement.
Also, the sentence
p(x) for all x in Null Set
is always true and is called vacuously true
Reply all
Reply to author
Forward
0 new messages