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: Furthermore, someone from New York City visited the page today, via a #1 search result on Yahoo! for [http://search.yahoo.com/search?p=system%20inquiry%20examples&fr=yfp-t-501&toggle=1&cop=mss&ei=UTF-8 system inquiry examples].  Congratulations, again! — [[User:MyWikiBiz|MyWikiBiz]] 06:29, 23 October 2008 (PDT)
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==Propositions and Sentences==
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==Propositions And Sentences : Residual Remarks==
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'''Residual Remarks'''
      
Where are we?  We just defined the concept of a functional fiber in several of the most excruciating ways possible, but that's just because this method of refining functional fibers is intended partly for machine consumputation, so its schemata must be rendered free of all admixture of animate intuition.  However, just between us, a single picture may suffice to sum up the notion:
 
Where are we?  We just defined the concept of a functional fiber in several of the most excruciating ways possible, but that's just because this method of refining functional fibers is intended partly for machine consumputation, so its schemata must be rendered free of all admixture of animate intuition.  However, just between us, a single picture may suffice to sum up the notion:
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In the next few installments, I will be working toward the definition of an operation called the ''stretch''.  This is related to the concept from category theory that is called a ''pullback''.  As a few will know the uses of that already, maybe there's hope of stretching the number.
 
In the next few installments, I will be working toward the definition of an operation called the ''stretch''.  This is related to the concept from category theory that is called a ''pullback''.  As a few will know the uses of that already, maybe there's hope of stretching the number.
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<pre>
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An "assertion" is just a sentence that is being used in a certain way,
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namely, to indicate the indication of the indicator function that the
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sentence is usually used to denote.  In other words, an assertion is
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a sentence that is being converted to a certain use or that is being
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interpreted in a certain role, and one whose immediate denotation is
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being pursued to its substantive indication, specifically, the fiber
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of truth of the proposition that the sentence potentially denotes.
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Thus, an assertion is a sentence that is held to denote the set of
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things in the universe for which the sentence is held to be true.
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Taken in a context of communication, an assertion is basically a request
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that the interpreter consider the things for which the sentence is true,
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in other words, to find the fiber of truth in the associated proposition,
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or to invert the indicator function that is denoted by the sentence with
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respect to its possible value of truth.
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A "denial" of a sentence z is an assertion of its negation -(z)-.
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The denial acts as a request to think about the things for which the
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sentence is false, in other words, to find the fiber of falsity in the
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indicted proposition, or to invert the indicator function that is being
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denoted by the sentence with respect to its possible value of falsity.
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According to this manner of definition, any sign that happens to denote
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a proposition, any sign that is taken as denoting an indicator function,
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by that very fact alone successfully qualifies as a sentence.  That is,
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a sentence is any sign that actually succeeds in denoting a proposition,
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any sign that one way or another brings to mind, as its actual object,
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a function of the form f : X -> B.
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There are many features of this definition that need to be understood.
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Indeed, there are problems involved in this whole style of definition
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that need to be discussed, and doing this requires a slight excursion.
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</pre>
 
Jon Awbrey
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