the axiomatic system Flashcards
1
Q
2 kinds of terms
A
defined and undefined
2
Q
2 main parts of a definition
A
the term to be defined and the explanation of the term
3
Q
terms that do not require a definition as these terms are used as a ____ to define other terms
A
base
4
Q
statements that are assumed to be true without proof
A
postulates or axioms
5
Q
axiomatic structure of a mathematical system
A
undefined and defined terms
axioms
proof
theorems
6
Q
the point from which theorems will be derived
A
set of axioms
7
Q
any mathematical statement that can be shown to be true using accepted logical mathematical arguments
A
theorem
8
Q
undefined terms that do not require definition
A
points, lines, and planes
