Term
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{sqrt(n) | n element of N} |
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Definition
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{sqrt(n) | n element of N}
No {sqrt(1),sqrt(2),...}
set can be enumerated |
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Term
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{z^2 + z | z is an element of Z} |
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Definition
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{z^2 + z | z is an element of Z}
No {0,2,6,...} set can be enumerated |
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Term
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{n|50 =< n, n element N} |
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Definition
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{n|50 =< n, n element N}
No {50,51,52} set can be enumerated |
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Term
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{z|z^2 - 2z = 0, z element of Z} |
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Definition
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{z|z^2 - 2z = 0, z element of Z}
2 |
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Term
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{r|0 =< r =< 1, r element of R} |
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Definition
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{r|0 =< r =< 1, r element of R}
Uncountably infinite (Cantor's diagonal argument) |
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Term
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{QxQ} |
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Definition
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{QxQ}
No if S and T ar countable the nSxT is countable |
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Term
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{set of sequences of 1's and 2's} |
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Definition
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{set of sequences of 1's and 2's}
Uncountably infinite (Cantor's diagonal argument) |
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Term
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{N X R} |
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Definition
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{N X R}
Uncountably infinite
IR = {0}x IR subset of N x IR
If A is uncountable infinite and A subset B then B is uncountably infinite |
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Term
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{R - P} |
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Definition
Determine the carnality of the following sets (use "unaccountably infinite for infinite sets not of Carnality N0".
{R - P}
Uncountably infinite if A is uncountably infinite and B is uncountably infinite A-B is uncountably infinite |
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