Closed sets and open sets, or finite and infinite sets.
There are finite sets, countably infinite sets and uncountably infinite sets.
Closed sets and open sets, or finite and infinite sets.
There are no three consecutive numbers that are squares. Otherwise, there are an infinite sets of squares of three consecutive numbers: for example, {1,4,9}, or {4,9,16} or {576, 625, 676}
True.
Closed sets and open sets, or finite and infinite sets.
There are finite sets, countably infinite sets and uncountably infinite sets.
Closed sets and open sets, or finite and infinite sets.
No.
Closed sets and open sets, or finite and infinite sets.
Closed sets and open sets, or finite and infinite sets.
The set of your friends is finite. The set of counting numbers (part of which you will use to count your friends) is infinite.
Finite, countably infinite and uncountably infinite.
There are an infinite number of sets whose sum is negative six. A couple of examples are -3 + -3, and -11 + 5.
we can consider all infinite sets as equivlent sets if we go by the the cantor set theory.for eg. on a number line if we consider the nos. between 0 and 1 as a set then they are infinite. similarly the nos. between 0 and 5 can also be considered infinite and if considered as a set then they can be considered as equivalent
The way I understand it, a finite set can not be an infinite set, because if it were an infinite set, then it would not be a finite set, and the original premise would be violated.
There are no three consecutive numbers that are squares. Otherwise, there are an infinite sets of squares of three consecutive numbers: for example, {1,4,9}, or {4,9,16} or {576, 625, 676}