Irrational numbers are an infinite source of information.
Irrational numbers are an infinite source of information.
They're probably the only things that "create" information in the sense that you can always grab another slice. Thank you delicious pi!
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According to your reasoning, the Fibonacci numbers, or repeatedly applying a math operation to a number are infinite sources of information
Nah I replied to someone else with a similar thought. The Notorious Fibs sure I agree with you they are new information, similar to the primes but just adding +1 over an over again or even some repeating pattern doesn't add new information beyond the initial pattern.
As far as I see through context in science, anything is information. Matter. Energy. Numbers. Words. So an infinite number has to have infinite information, yeah?
No. sqrt(2) is an irrational number characterized as the positive solution to x^2 - 2 = 0. It's described by a very small amount of data. Even its decimal expansion can be determined up to any precision by a simple algorithm.