PPT ON LOGICS

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LOGIC Presentation Transcript: 
1.LOGICS
Logics is the science of necessary laws of thoughts without which no employment of understanding and the reason take place.

2.PREPOSITION
The preposition is a sentences that is either True or False but not both.
Example:
Compound Statement:
    It is windy but not cold
Let :
        p=>It is windy
        q=>It is cold     ~q=>It is not cold

3.Symbols used:
                and , but 
                       or        V
Therefore the above example become:
                  p     ~q
That is, 
        It is windy but not cold .
    
4.LOGICAL EQUIVALENCE 

5.Tautology
An expression which always has the value true is called a tautology. A statement whose form is a tautology is known as “tautological statement”.

6.Contradiction
An expression which always has the value false is called contradiction. .A statement whose form is a contradiction is known as “contradictory statement”.

7.Conditional statement    
If p and q are statement variables the conditional of q by p is “if p then q” denoted by “p? q”  or  “p implies q”.

8.Bi-Conditional Statement
Given statement variable p and q the bi-conditional of p and q is “p if and only if q” and is denoted by p?q. 

Source: Power Point Presentations