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Revision as of 20:20, 15 January 2009
, 20:20, 15 January 2009→Propositions and Sentences: delete assimilated variants
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I finish out the Subsection on "Propositions & Sentences" with
−an account of how I use concepts like "assertion" and "denial".
−An "expression" is a type of sign, for instance, a term or a sentence,
−that has a value. In forming this conception of an expression, I am
−deliberately leaving a number of options open, for example, whether
−the expression amounts to a term or to a sentence and whether it
−ought to be accounted as denoting a value or as connoting a value.
−Perhaps the expression has different values under different lights,
−and perhaps it relates to them differently in different respects.
−In the end, what one calls an expression matters less than where
−its value lies. Of course, no matter whether one chooses to call
−an expression a "term" or a "sentence", if the value is an element
−of %B%, then the expression affords the option of being treated as
−a sentence, meaning that it is subject to assertion and composition
−in the same way that any sentence is, having its value figure into
−the values of larger expressions through the linkages of sentential
−connectives, and affording us the consideration of what things in
−what universe the corresponding proposition happens to indicate.
−Expressions with this degree of flexibility in the types under
−which they can be interpreted are difficult to translate from
−their formal settings into more natural contexts. Indeed,
−the whole issue can be difficult to talk about, or even
−to think about, since the grammatical categories of
−sentential clauses and noun phrases are rarely so
−fluid in natural language settings are they can
−be rendered in artificially formal arenas.
−To finesse the issue of whether an expression denotes or connotes its value,
−or else to create a general term that covers what both possibilities have
−in common, one can say that an expression "evalues" its value.
−
<pre>
<pre>
−An "assertion" is just a sentence that is being used in a certain way,
An "assertion" is just a sentence that is being used in a certain way,
namely, to indicate the indication of the indicator function that the
namely, to indicate the indication of the indicator function that the
