Check whether the following sentence is a statement. Give reasons for your answer.
"Every set is a finite set."
"Every set is a finite set."
(N/A) sentence is considered a statement in logic if it is either true or false,but not both.
The sentence "Every set is a finite set" is a declarative sentence.
Since there exist infinite sets (e.g.,the set of all natural numbers $\mathbb{N}$),the statement "Every set is a finite set" is false.
Because the sentence has a definite truth value (it is false),it is a statement.
The sentence "Every set is a finite set" is a declarative sentence.
Since there exist infinite sets (e.g.,the set of all natural numbers $\mathbb{N}$),the statement "Every set is a finite set" is false.
Because the sentence has a definite truth value (it is false),it is a statement.
Explore More
Similar Questions
$\sim (p \Rightarrow q) \Leftrightarrow \sim p \vee \sim q$ is
Medium
View SolutionIf $p, q, r$ are single propositions with truth values $T, F, F$ respectively,then the truth value of $(p \wedge \sim q) \rightarrow (\sim p \vee r)$ is
Let $p, q, r$ denote arbitrary statements. Then the logical equivalent of the statement $p \Rightarrow (q \vee r)$ is
DifficultJEE MAIN 2014
View SolutionThe negation of the expression $q \vee ((\sim q) \wedge p)$ is equivalent to
DifficultJEE MAIN 2023
View SolutionLet $a : \sim (p \wedge \sim r) \vee (\sim q \vee s)$ and $b : (p \vee s) \leftrightarrow (q \wedge r)$. If the truth values of $p$ and $q$ are true and that of $r$ and $s$ are false,then the truth values of $a$ and $b$ are respectively:
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo