Logical connectives and compound statements


Hello friends, Welcome to my blog mathstips4u.
In this post we are going to learn what is meant by Logical connectives, symbols used and terms used to describe compound statements.
If you are new visitor or came accidently to this blog before reading  this post, please watch my last post of which the link is given bellow.
Statement in logic.

 At end I shall provide you the answers of questions which were asked in the last video.
In Mathematical Logic there are five Logical connectives viz.
And, or, not, If …Then, …If and only if…
These words or group of words are used to join two simple statements to make a compound statements.
Sr. No.
Connectives
Symbols
Term used To describe
1
and
Ʌ
Conjunction
2
or
V
Disjunction
3
not
~
Negation
4
If…Then
→ or =>
Implication or Conditional
5
….if and only if …
↔ or
<=>
Double implication or Bi-conditional

In the last post I asked you to write which of the following sentences are statements in logic. In case of statements, write down the truth value. Answers are here.
1.     Today is Saturday.          Not a statement. An open sentence.
2.     Work hard.                     Not a statement.  An imperative sentence
3.     Moon is a satellite.         T
4.     He likes coffee.              Not a statement. An open sentence.  
5.    3x +2 = 0, x = 2        T
6.     Do not disturb me.          Not a statement. An imperative sentence
7.     Why you are angry?      Not a statement. An interrogative sentence.
8.     May god bless you!       Not a statement. An exclamatory sentence
9.     Swimming is fun.          Not a statement. An open sentence.
  is a complex number.  T
In this way we have seen logical connectives, symbols used for them and terms describing these compound statements.
Be touch with me. My next post is about conjunction.  Thanking you for reading  my post.

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