Hye everyone
How your new year
Have you already planned target for 2017???
If not u must set now
Let's learn math
Small part in Math Logic
Logic
Negation
(¬) = not @ it is not the case that…
Example:
Emily does not eat nasi lemak
p
|
¬p
|
T
|
F
|
F
|
T
|
Conjuction
(^) = and @ sometimes “but” p^q
Example
Emily eat nasi lemak and Frank eats nasi dagang
p
|
q
|
p^q
|
T
|
T
|
T
|
T
|
F
|
F
|
F
|
T
|
F
|
F
|
F
|
F
|
Disconjuction
(˅) = or
Example:
Emily eats nasi lemak or Frank eat nasi dagang
p
|
q
|
p˅q
|
T
|
T
|
T
|
T
|
F
|
T
|
F
|
T
|
T
|
F
|
F
|
F
|
Implication
(→) = “If …then…” p→q
Example:
If Emily eats nasi lemak, then Frank eats nasi dagang
p
|
q
|
p→q
|
T
|
T
|
T
|
T
|
F
|
F
|
F
|
T
|
T
|
F
|
F
|
T
|
Biconditional
(↔) : “….if and only if…” p↔q¬
Example:
Emily eats nasi lemak if and only if Frank eats nasi dagang.
p
|
q
|
p↔q
|
T
|
T
|
T
|
T
|
F
|
F
|
F
|
T
|
F
|
F
|
F
|
T
|
Logical
Equivalence : The laws of Logic
1)
Logically equivalent : ¬¬p
p
|
¬p
|
¬¬p
|
T
|
F
|
T
|
F
|
T
|
F
|
2)
Tautology = last answer in truth table must be true
3)
Contradiction = last answer in truth table must be false
CONDITIONAL
|
p→q
|
CONVERSE
|
q→p
|
INVERSE
|
¬p→¬q
|
CONTRAPOSITIVE
|
¬q→¬p
|
Thanks for read
Part 1
See u again
To be continued
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