Module 3

Question 1

An axiomatic system is _______ if there is no statement such that both the statement and its negation are axioms or theorems of the system

Answer 1

consistent

Question 2

A counting number is a number that is not in fraction form

Answer 2

This definition is not characteristic

Question 3

Mathematical proof is fundamentally a matter of ____. This means that theorems follow from axioms by means of systematic reasoning.

Answer 3

rigor

Question 4

Any system containing contradictory axioms is ______ and is of no practical value at all.

Answer 4

inconsistent

Question 5

In mathematics, this is a conclusion or proposition based on incomplete information, for which no proof has been found.

Answer 5

Conjecture

Question 6

This is the one famous conjecture

Answer 6

Two primes conjecture

Question 7

Statements that are derived from the axioms by strict logical proof are called

Answer 7

theorems

Question 8

Q.E.D is a an abbreviatiom for the Latin ____

Answer 8

Quod Erat Demonstrandum

Question 9

What do they call when they place a small rectangle with its shorter side horizontal

Answer 9

Tombstone

Question 10

The death of suspicion of the validity of the statement that was to be proved

Answer 10

Tombstone

Question 11

Filled-in square

Answer 11

Halmos

Question 12

Who introduced halmos?

Answer 12

Paul Halmos