SUO: Re: Examples! Examples! Examples!
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EEE. Note 25
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Example 1. John Sowa's "Top Level Categories" (cont.)
One of the nice things about the conjunctive singular representation
of the cells or points in TLC = <|a_1, ..., a_25|> is that one is no
longer bound by the arbitrary ordering of the logical basis elements
in !TLC! = {a_1, ..., a_25}, the way that one is forced to cleave to
a fixed ordering of the a_j when using the coordinate representation.
For example, our random interpretation !r! is represented in
coordinate style by the following 25-tuple of boolean values:
!r! = <1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0>
Squeezing out the commas, !r! is denoted by this bit string:
!r! = 1010100111000011111100110
In order to compare elements of TLC we have to maintain
the same ordering of coordinate values x_j in every case.
In the conjunctive representation, however, we can write
the positive and negative literals in any order that is
most convenient at the moment in question, for example,
representing !r! in a form with all positive literals
up front and all negative literals trailing along at
the end of the conjunctive expression, like this:
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| |
| Abstract Continuant Form Intention Juncture Mediating Physical |
| Prehension Process Proposition Purpose Reason Script Situation |
| ( Actuality )( Description )( History )( Independent ) |
| ( Nexus )( Object )( Occurrent )( Participation ) |
| ( Relative )( Schema )( Structure ) |
| |
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Jon Awbrey
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