Poemranker [Replying] Fri Nov 22 00:54:38 PST 2024

Replying to a comment on:

Before my birth myself flourished and will again past my pseudo death Beauty and Good demand it so for they are bastions strong as reason Easy to honor the dove hard to extol the rat Easy to admire DNA and hate uranium 238 Beautiful and Good Ugly and Bad I believe I know the difference For I live not alone by reason but by knowledge of Beauty and Good Thus I surpass the waypointsâ birth and death with God who creates Beauty and Good demand it

-=Dark_Angel=-, P.I.

26-Mar-05/2:46 PM

No.

I did not say the valves are "of the same kind." That's something you just invented.

Stop imagining that I am talking about a single valve, or a single type of valve, that is identical open and closed. That seems to be the main source of your confusion.

I am simply saying that there is a one-to-one correspondence between two sets. You can't seem to fit that into your head. Do you know what a one-to-one correspondence is?

Think about the set of positive numbers, and the set of negative numbers. For every positive number, there is a negative number with the same absoulte value. For every negative number, there is a positive number with the same absolute value. Therefore there is a one-to-one correspondence between the two sets.

Do you accept that there is a one-to-one correspondence between the set of all possible open valves and the set of all possible closed valves?

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