Statement in logic

Statement in Logic.
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In my last video we were discussed an introduction to Mathematical Logic. If you are new visitor or accidently came to this video before watching this video, please watch my previous video of which link is here.
https://www.dailymotion.com/video/x79cyfh
In this video we are going to learn what is mean by Statement in Logic.
Please watch my video till ends, at the end I will ask a few questions try to answer it in the comment. I will provide the answers in my next video. So let’s begin.
Mathematical Logic.
First we shall see the difference between sentence and statement.
Sentence is a group of words having some meaning.
There are 4 types of sentences.
1. Imperative
2. Interrogative
3. Exclamatory
4. Assertive
We shall see the couple examples of each of type of sentences
1. Imperative
1 Shut the door.
2. Please get me a book.
2. Interrogative
1.Do you like to see a film?
2. Do you exercise regularly?
3. Exclamatory
1. Oh! What a beautiful sight it is!
2.What a heavy down pour!
4. Declarative
1. Sky is blue.
2. 6 is prime a number.
3. 2 + 3 = 6.
Out of these 4 types of sentences only declarative or assertive sentences are Statements which is either true or false but not simultaneously.
Statements are generally denoted by letters p, q, r, … etc.
e.g. 1) p: sky is blue Truth value is T
2) q: 4 + 3 = 9 Truth value is F

If a statement is true, then its truth value is True (T)
and if it is false then its truth value is False (F)
Now we consider the following declarative sentences
1. X + 3 = 5. It is true if x = 2, it is false if x other than 2.
2. It is white in color. IF its milk then it is true and if it is coffee then it is false.
3. Mathematics is an easy subject. May be true for you, and False for me.
In the first sentence we cannot say it is true or false unless we know the value of x.
In second sentence we do not know what about we are talking.
In third sentence the truth values vary from person to person.
Such declarative sentences are not statements they are called Open Sentences.
Finally, mathematical identities and formulas are always true statements.
So in this video we have seen what is meant by a statement.
Be touch with me. My next video is about connectives and compound statements. If you like my video, please subscribe my channel, like it, share it and comment so I shall get inspiration to share my knowledge to you. Thanking you for watching my video.
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