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In mathematical logic, which of the following are statements?

(i) There will be snow in January

(ii) What is the time now?

(iii) Today is Sunday

(iv) You must study Discrete Mathematics.

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  1. (iii) and (iv)
  2. (i) and (ii)
  3. (i) and (iii)
  4. (ii) and (iv)

Answer (Detailed Solution Below)

Option 3 : (i) and (iii)
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Concept:

In mathematical logic, a statement is a sentence which is either true or false. It may contain words or symbols. In general, it has two parts: 1) assumption 2) conclusion.

A mathematical sentence is a sentence that states a fact and it becomes statement when it results in either true or false.

Explanation:

Statement (i): There will be snow in January

It is a mathematical statement because either there will be snow in January or there will not be snow in January. It has only two possible values either true or false.

Statement (ii): What is the time now?

In this case, there is no meaning of true or false. It is only asking the current time and you can answer that but not in true or false.

Statement (iii): Today is Sunday

It is a statement. As, it is true of Sunday and false on any other day. So, there are two possibilities of either true or false.

Statement (iv): You must study Discrete Mathematics.

It is not a statement. It is not giving meaning in true or false sense. 
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