11 votes 11 votes In mathematical logic, which of the following are statements? There will be snow in January. What is the time now? Today is Sunday. You must study Discrete mathematics Choose the correct answer from the code given below: i and iii i and ii ii and iv iii and iv Mathematical Logic ugcnetcse-dec2018-paper2 mathematical-logic + – Arjun asked Jan 2, 2019 recategorized Jun 23, 2022 by Arjun Arjun 4.9k views answer comment Share Follow See all 3 Comments See all 3 3 Comments reply sumant srivastava commented Jan 3, 2019 reply Follow Share statement should be a declarative sentence. so option (a) is correct. 1 votes 1 votes Deepak Poonia commented Mar 4, 2022 reply Follow Share This is a very $\color{blue}{\text{Poor Question. }}$ In GATE, TIFR like exams, such question can never be asked. So, $\color{red}{\text{DO NOT }}$ waste your time on such questions. Whether we allow "Today is Sunday" as a proposition or not, depends on the context in which we're going to evaluate it (how are we going to account for changing time?), not on the simple definition of "a proposition". If we can make it into something that's either true or false then we can use it as a proposition. If we're stuck saying, "well, it depends when you say it" then perhaps we can't (or perhaps we can, but it remains a variable in whatever logical operations we do to it). So, $\color{blue}{\text{Some authors }}$ would consider it as a proposition (by fixing certain time, date, place etc), $\color{blue}{\text{Other authors }}$ would not consider it as a proposition. I suggest $\color{red}{\text{NOT to waste too much time }}$ on “which sentence is proposition?” type of question. A Good exam will not ask such questions. If you find such questions in some test series, leave such test series. In the (good)question, propositions will be $\color{blue}{\text{given }}$, not asked. https://math.stackexchange.com/questions/3366696/how-to-determine-a-sentence-is-proposition-or-not https://math.stackexchange.com/questions/1915208/identifying-propositions If you are preparing for $\color{red}{\text{NET exam, }}$ then from the Options we can decide whether the question maker considers Statement(iii) as a proposition or not. Clearly, Statement(ii) is a Question, so, Not a proposition. Statement(iv) is a command/advice, so, Not a proposition. Automatically, Option A is correct answer. 22 votes 22 votes akashkumarsen4 commented May 25, 2023 reply Follow Share The nth day is sunday where n is a free variable is not a proposition, but Today is sunday is a proposition. Now the examiner might mean the first one by later. There is no way we can tell. So as Deepak sir says, we should avoid such ambiguous questions. 0 votes 0 votes Please log in or register to add a comment.
7 votes 7 votes Statements are those for which we can answer strictly in either yes or no, option b and d cannot be answered in yes or no while in a and c we can answer in yes or no so option (a) is correct. Peeyush Pandey answered Jan 2, 2019 Peeyush Pandey comment Share Follow See all 4 Comments See all 4 4 Comments reply Shaijal Tripathi commented Jan 2, 2019 reply Follow Share Are statements and propositions different? If not so, then: A proposition is something that would have one of the two values : True or False but not both. And so, (iii) can be true on Sunday and false on any other day. 0 votes 0 votes Sanjay Sharma commented Jan 3, 2019 reply Follow Share but on any day( here today) it can only be true or only be false 1 votes 1 votes Hradesh patel commented Oct 1, 2020 reply Follow Share Sir, Why option IV is wrong?? 0 votes 0 votes Sanjay Sharma commented Oct 1, 2020 reply Follow Share You must study Discrete mathematics this is an instruction /advise so it is not simple declarative sentence 1 votes 1 votes Please log in or register to add a comment.