So how does the picture of radical interpretation presented here differ? It differs
in that truth is not a quantity that can be flagged to sentences. The two reasons
are:
1. bivalent truth values could never account for the meaning of the real num-
bers Ж and the continuous properties that they describe throughout human
experience,
2. there appears to be little psychological evidence that learners of a language
flag sentences with truth values other real valued quantities seem more
likely.
There are three main consequences of this:
1. not only is meaning a derivative concept, truth is as well,
2. real numbers have to be introduced ab initio rather than be constructed
from the integers, integers are thought of as being a derivative concept,
3. perhaps in principle mathematical or computational models, or psycho-
logical data could test aspects of the above; hopefully it moves the theory
one step closer to being testable.
9.2 Conclusion
In §2, §3, and §4 three distinct phenomena were discussed: in §2 the phenom-
ena was colour name strategy, this occurs only for the eleven switched focal
colours; in §3 the phenomena was object name strategy, this is not an identi-
cal phenomena to colour name strategy because there is nothing which directly
corresponds to the fixed number of switched focal colours; in §4 it was men-
tioned that memory chunking is aided by the use of a name; these strategies are
clearly related and it was argued that the relationship is that of the diagram
1.2 in the Introduction. It was argued in §1.1 and §1.4 that all of these should
be considered representations, and that representations should be hierarchically
classified according to their properties. In §7 and §8 some of the consequences
of name strategy for problems in the philosophy of language and mathematics
were outlined. These were summarized in §9.1. The technical results follow
below: It was noted that having two colour words blue and green aids swift
communication although there can be a loss in accuracy. The suggested solu-
tion to the segmentation problem was to require that real valued quantities (as
opposed to the traditional view where a single bivalent quantity - truth) should
be assigned to sentences and used throughout in accounts of meaning. Thus
the Continuum Hypothesis in mathematics is evaded as it is only possible to
have real valued truth. It was argued that the extralinguistic assigned qualities,
used in accounts of meaning, should not be unconditional truth, but rather be
flagged by information relevant to comprehension, perhaps as signified by the
six facial emotions; this is here referred to as flagging by countenance. The exis-
tence of name strategy provides the clearest, of several, indication that thought
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