On October 23rd, 2014, we updated our
Privacy Policy
and
User Agreement.
By continuing to use LinkedIn’s SlideShare service, you agree to the revised terms, so please take a few minutes to review them.
Specifically concerned with whether reasoning is correct.
Focuses on the relationship among statements as opposed to the content of any particular statement.
5.
Propositions
Typically expressed as a declarative sentence
Basic building blocks of any theory of logic
Represented by lowercase letters such as
p, q and r.
6.
Connectives
Used to combine propositions
7.
Kinds Of Connectives
CONJUCTION – denoted by
(read as “p and q”)
DISJUNCTION – denoted by
( read as “p or q” )
NEGATION -- denoted by
(read as “not p”)
8.
Kinds Of Connectives
CONDITIONAL STATEMENT
denoted by p q
(read as If p, then q.)
9.
Truth Table Of A Proposition
Made up of individual proposition ... , lists all possible combinations of truth values for .... .T denotes true and F denotes false for such combination lists of the truth value of p .
10.
CONJUCTION p q T T T T F F F T F F F F
11.
DISJUNCTION p q T T T T F T F T T F F F
12.
NEGATION p -p q -q T F T F
13.
IF-THEN STATEMENTS
The most commonly used connectives.
It also known as conditional statements or implications.
14.
IF-THEN STATEMENTS
It consist of the following:
Premise – the “if” part
Conclusion – the “then” part
Represented by the following:
If p, then q
p -> q
Where p and q are the premise and conclusion respectively.
15.
IF-THEN STATEMENT
Example:
If one angle of a triangle is a right triangle , then the other two angles of the triangle are acute angles.
premise conclusion
16.
IF-THEN STATEMENT
Example:
If one angle of a triangle is a right angle , then the other two angles of the triangle are acute angles.
p q
17.
IF-THEN STATEMENTS
it can only be false when the premise is true but the conclusion is false.
18.
If
19.
If
If a picture paints a thousand words
Then why can't I paint you?
The words will never show
For you I've come to know.
If a face could launch a thousand ships
Then where am I to go?
There's no one home but you
And now you've left me too.
20.
And when my love for life is running dry
You come and pour yourself on me
If a man could be two places at one time
I'd be with you.
Tomorrow and today
Beside you all the way
If the world should stop revolving
Spinning slowly down to die.
21.
I'd spend the end with you
And when the world was through...
Then one by one, the stars would all go out.
Then you and I, would simply fly away.
22.
CONDITIONAL STATEMENT p q p q T T T T F F F T T F F T
23.
BICONDITIONAL STATEMENT
It is denoted by :
read as “p if and only if q”
24.
BICONDITIONAL STATEMENT p q T T T T F F F T F F F T