Chapter 2: Logic and Set Theory Quiz

George Boole

Augustus De Morgan

George Boole

Gottfried Wilhelm Leibniz

An opinion that can vary from person to person

A declarative sentence or statement that is either true or false

A command that must be followed

A question that can have multiple answers

There is at least one mammal that does not require sleep

Some mammals require sleep

No mammals require sleep

All mammals require sleep

True

Unknown

False

Both true and false

Some children fear the dark

No child fears the dark

All children fear the dark

Some children do not fear the dark

→

⋀

⋁

∼

If the ground is wet, then it rained

If it did not rain, then the ground is not wet

If the ground is wet, then it rained

If the ground is not wet, then it did not rain

x = 3 if and only if x + 2 < 5

x = 3 if and only if x + 2 = 5

x = 3 if and only if x + 2 > 5

x = 3 if and only if x + 2 ≠ 5

If the lines intersect then they are not parallel

If the lines are not parallel then they intersect

If the lines intersect then they are parallel

If the lines are parallel then they intersect

The sun is shining, or I will not go to park

We will not visit Baguio, or we will visit Burnham Park

If cherries have turned red, then they are ready to be picked

If I go, then I paid ₱150.00