Fundamentals of logic

Question 1

What is: If P then Q

Answer 1

an Implication

Question 2

Who developed mathematics through trial and error in order to serve practical purposes

Answer 2

The ancient Babylonians and Egyptians

Question 3

Who transformed mathematics by pulling geometric objects out of the concrete and into the abstract.

Answer 3

The Greeks

Question 4

Why was the Greeks contribution to Mathematics so important

Answer 4

This new development in mathematics emphasized obtaining knowledge through reason, not experience, and paved the way for many new discoveries.

Question 5

What is a good example of obtaining knowledge through reason ?

Answer 5

Euclids Elements

Question 6

Where was Euclid’s birthplace

Answer 6

Alexandria, Alexandria is a port city located on the Mediterranean Sea in northern Egypt founded in 331 BCE by Alexander the Great. It was the site of the Pharos (lighthouse), one of the seven wonders of the ancient world

Question 7

What is Logic

Answer 7

the building blocks that help us understand our reasoning skills

Question 8

What is the basic building block in logic

Answer 8

the statement

Question 9

what is a statement

Answer 9

a sentence that is either true or false. It cannot be both true and false , and it cannot be neither true nor false

Question 10

Is a question a statement

Answer 10

no

Question 11

in order for a statment to be an actual statement, we must be able to…….

Answer 11

assign a truth value to it, either true or false, not both , not neither.

Question 12

the hat is red, is an example of……….

Answer 12

a statement

Question 13

attached to every statement is

Answer 13

another statement………..which is called it’s “negation”

Question 14

Negation

Answer 14

a statement that contains the “opposite” truth value of the original statement.

Question 15

the negation of : the hat is red

Answer 15

the hat is not red

Question 16

An implication is made up of two simpler

Answer 16

statements

Question 17

perhaps the best example of the progress the ancient Greeks made is,

Answer 17

Euclids Elements

Question 18

In an implication, the conditional statement (i.e., the if-clause) is

Answer 18

Antecedent:

Question 19

In an implication, the result (i.e., the then-clause) that follows from the
conditional is the

Answer 19

Consequent.

Question 20

attached to any implication is …….

Answer 20

three other implications