Notation
•
N
=
{
1
,
2
,
3
,
4
,...
}
is the set of natural numbers.
•
Z
=
{
0
,
±
1
,
±
2
,
±
3
,...
}
is the set of integers.
•
Q
=
{
p
q

p,q
∈
Z
and
q
6
= 0
}
is the set of rational numbers.
•
I
=
{
x
∈
R

x /
∈
Q
}
is the set of all irrational numbers. These are
numbers which can be represented by inﬁnite decimals.
•
R
=
Q
∪
I
is the set of all real numbers.
• ∅
is the empty set
• ∃
is the existential quantiﬁer. It is the mathematical symbol for ”there
exists”.
• ∀
is the unviersal quantiﬁer. It is the mathematical symbol for ”for all”.
• ∈
is the mathematical symbol for ”is an element of”.
• ⊂
is the mathematical sybmol for ”is a proper subset of”.
• ⊆
is the mathematical symbol for ”is a subset of”.
•
∴
is the mathematical symbol for ”therefore”.
•
∵
is the mathematical symbol for ”because”.
• ∼
can be used as the matematical symbol for negation.
Mathematical Statements
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Summer '11
 Katherine
 Integers, Natural Numbers, Natural number, Mathematical logic, Rational number, mathematical symbol

Click to edit the document details