Phil1001: Introduction to Logic
Name:
Fall 2021
Group:
Problem Set 1: Sets!
Due: Monday, September 13 at 11:59pm
1. (3pts) True or False?
a.
{
Aang, Katara, Sokka
}
=
{
Katara, Sokka, Aang
}
T / F
True
b.
{
Aang, Sokka, Katara, Sokka
}
=
{
Katara, Sokka, Aang
}
T / F
True
c.
e set consisting of Aang, Katara, and Sokka
=
{
Katara, Sokka, Aang
}
T / F
True
d.
{
x
:
x
is a character in
Avatar:
e Last Airbender
}
=
{
Katara, Sokka, Aang
}
T / F
False
e. Aang, Katara, Sokka
=
{
Aang, Katara, Sokka
}
T / F
False
f.
{
Aang
}
,
{
Katara
}
,
{
Sokka
}
=
{
Aang, Katara, Sokka
}
T / F
False
2. (2pts) List the
subsets
of
{
Aang, Katara, Sokka
}
{
Aang, Katara, Sokka
}
,
∅
{
Aang
}
,
{
Katara
}
,
{
Sokka
}
{
Aang, Katara
}
,
{
Aang, Sokka
}
,
{
Katara, Sokka
}
3. (2pts) What is the
powerset
of
{
Aang, Katara
}
?
{∅
,
{
Aang, Katara
}
,
{
Aang
}
,
{
Katara
}}
4. (3pts) For as many of the following as possible,
ll in
∈
,
⊆
, or
both
to make the claim true.
1.
∅ ⊆ ∅
2.
{∅} ⊆
/
∈ {∅
,
{∅}}
3.
{∅} ⊆ {∅
,
{{∅}}}
