Re: Replacement of Cardinality

Le 29/08/2024 à 18:05, FromTheRafters a écrit :

WM formulated the question :

Le 28/08/2024 à 16:00, FromTheRafters a écrit :

WM presented the following explanation :

Le 27/08/2024 à 22:07, "Chris M. Thomasson" a écrit :

On 8/27/2024 12:36 PM, WM wrote:

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Dark natural numbers are larger than any visible natural number but smaller than their bound omega.
Dark unit fractions are smaller than any visible unit fractions but larger than their bound 0.

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Define visible?

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The simplest definition is this: A visible number can be expressed in decimals or binaries.

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Can be? Or is? Or has previously been?

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Is or has previously been. If not yet expressed in the system, it is dark in the system. But small dark numbers can become visisble. (They have been called grey numbers.)

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Oh no! Grey numbers? You're pulling my leg now huh? How would you distinguish a small enough dark or grey number from a fully dark larger number?

 Grey numbers are not my idea. They can only be distinguished after having become visible. Dark numbers cannot be distinguished.