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Re: [lojban] non-ka properties
On Sun, Jun 19, 2011 at 4:28 PM, John E Clifford <kali9putra@yahoo.com> wrote:
> Are you sure? I get confused in infinity (as any right-thinking person should)
> but I have aleph-null types and aleph-null situations giving aleph-null squared
> potential tokens. aHAH! There must be more than aleph-null situations because
> there are more than aleph-null predicates, each of which can occur alone in at
> least one situation. And we can't reliably reduce these variant properties down
> to others, even if every situation under one description is also another
> situation under another, Never mind.
I don't think the number of situations is at all limited by the number
of predications. Situations are the territory, predications are the
map. By the very nature of things, most situations won't be fully
describable by a predication.
It's not that complicated really. For example, for every real number
x, there is the property of being that number. There, already, you
have a cardinality of properties larger than aleph-null, most of which
won't have a ka-expression to express them. The number of expressions
is strictly limited by the discrete nature of language (or a language
like Lojban at any rate).
mu'o mi'e xorxes
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