empty set- set contains no element
EX.
A= set of cosmonauts land on mars A( it is a null set because there are no cosmonauts land s on mars
finite set- sets whose elements are countable
EX.
A ( a,e,i,o,u) there are four (4) it is countable
infinite set- sets whose elements are uncountable
EX.
A. (1234......... and so on) has no end
equal sets- sets with the same element
EX.
A( 1,2,3,4,5)
B( 1,2,3,4,5) they have the both same element
equivalent set- sets with the same number of elements ( note: number not element)
EX.
F ( a,b,c,d,e,f) they have both quantity in each set
Q( 1,2,3,4,5)
universal sets- total of all the elements on given sets (give the totality)
EX.
F( 1,2,3,4,5,)
E(,6,7,8,9,10)
total (1,2,3,4,5,6,7,8,9,10)
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There 8 different types of sets:
There are 2 more sets in the 8th sets:
8. Universal set, Supersets and Subsets
differents kinds of sets
Three different kinds: none, one and infinitely many.
The theory of numbers is based on the property of sets of different kinds of numbers.
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Closed sets and open sets, or finite and infinite sets.