Ch. 2

Question 1

A mathematical claim posed in the form of a statement that either needs to be proven true or demonstrated false by a valid argument

Answer 1

Proposition

Question 2

A particularly significant proposition

Answer 2

Theorem

Question 3

A subsidiary proposition (‘helper proposition’)

Answer 3

Lemma

Question 4

A proposition that follows almost immediately from a theorem

Answer 4

Corollary

Question 5

A series of convincing arguments that leaves absolutely no doubt that a given proposition is true

Answer 5

Proof

Question 6

A statement that is assumed to be true, no proof needed. Essentially our fundamental beliefs on how mathematics should work

Answer 6

Axioms