aim#7 logic2

How do we solve problems using logic?

-With logic there are 4 different forms that you can incorporate in sentences through different forms of conditionals

 Conditional
- the most frequently used statement in the construction of an arguement of the study of mathematics
- when you incorporate 'if' and ' then'
- when you write that if one thing happens, another has to follow
Ex:
Original statement : The sky is gray, it will rain.
Conditional: IF the sky is gray , THEN it will rain

Converse
- the converse is the opposite of a conditional
Ex: 
Conditional: If the sky is gray then it will rain
Converse:  If it rains then the sky is gray

Inverse
-using the inverse for of conditional , you are incorporating the word ' not' into the sentence
Ex:
Original statement: If it is raining , then you will need an umbrella
Inverse: If it is NOT raining , then you will NOT need an umbrella

Contrapositive
- this type of conditional is like the inverse when you incorporate the word 'not' but the statement is backwards
Ex: 
Original statement: If it is raining, then you will need an umbrella
Contrapositive: If you do not need and umbrella, then it is not raining