Cardinality of N x R
You are given that the set of real numbers R has cardinality larger
than the set of natural numbers N.
The questions requires you to explain why N x R has cardinality larger than N.
How could I go about this? Might it involve the zig-zag pattern with the square array of numbers, but how would this be laid out since it is not N x N, which I am used to.
than the set of natural numbers N.
The questions requires you to explain why N x R has cardinality larger than N.
How could I go about this? Might it involve the zig-zag pattern with the square array of numbers, but how would this be laid out since it is not N x N, which I am used to.
Original post by itlstallion69
You are given that the set of real numbers R has cardinality larger
than the set of natural numbers N.
The questions requires you to explain why N x R has cardinality larger than N.
How could I go about this? Might it involve the zig-zag pattern with the square array of numbers, but how would this be laid out since it is not N x N, which I am used to.
than the set of natural numbers N.
The questions requires you to explain why N x R has cardinality larger than N.
How could I go about this? Might it involve the zig-zag pattern with the square array of numbers, but how would this be laid out since it is not N x N, which I am used to.
You know the cardinality of R is greater than that of N.
And you want to show that the cardinality of N x R is greater than that of N.
If you could show the cardinality of N x R was greater than or equal to that of R, you'd be done. How might you do that?
(edited 5 years ago)
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