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That gives every terminating decimal or binary number. For example, you will never list 1/3, or pi or sqrt(2). To see why you cannot generate every possible re
by rocqua 8y ago
That gives every terminating decimal or binary number.
For example, you will never list 1/3, or pi or sqrt(2).
To see why you cannot generate every possible real number as a list, look up cantors diagonal argument.
- windows_tips 8y agoAre you sure 1/3 is a real number?
- filmor 8y agoReal numbers are defined as a particular extension of the rational numbers, which 1/3 is.
- TJSomething 8y agoIt's as "real" as 1/2, which is on your list.
- windows_tips 8y agoI guess you also need to interpret each number in the list in each possible base.
- rocqua 8y ago"Real numbers" here refers to a very specific construction of numbers. There is pretty good argument, which the actual post is about, that states this construction is actually rather unrealistic. The issue being that there are way to many "real numbers".