**Ben Goertzel** (*ben@goertzel.org*)

*Sun, 04 Apr 1999 12:21:11 -0400*

**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ]**Next message:**Stephen P. King: "[time 141] Re: [time 130] On Pratt's Duality"**Previous message:**Matti Pitkanen: "[time 139] Re: [time 81] Discreteness and p-adics"**In reply to:**Matti Pitkanen: "[time 108] Re: [time 81] Entropy, wholeness, dialogue, algebras"**Next in thread:**Matti Pitkanen: "[time 147] Re: [time 81] Discreteness and p-adics"

*>p-Adic numbers with norm bounded by some upper bound
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*>are of from x= p^rk , where k is possibly *infinite* integer
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*>having pinary expansion k= SUM(n>=0) k_np^n. These numbers form a
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*>discrete set! The real counterparts of these numbers in canonical
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*>identification SUM x_np^n --> SUM x_np^(-n) however form a continuum!
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I don't understand this. It sounds like you are saying that a discrete set

(cardinality aleph null) is isomorphic to a continuum (cardinality aleph one),

which is impossible, and so obviously is not what you're really saying!!!

??

ben

**Next message:**Stephen P. King: "[time 141] Re: [time 130] On Pratt's Duality"**Previous message:**Matti Pitkanen: "[time 139] Re: [time 81] Discreteness and p-adics"**In reply to:**Matti Pitkanen: "[time 108] Re: [time 81] Entropy, wholeness, dialogue, algebras"**Next in thread:**Matti Pitkanen: "[time 147] Re: [time 81] Discreteness and p-adics"

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