Thread:
GF:http://permalink.gmane.org/gmane.science.philosophy.peirce/14236
JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/14249
Peircers,
Let me add my 2 cents' worth to the following historical paragraph from §3.1
(Canadians may round my 2¢ down to no cents or up to a nickel at their option):
<quote>
Already in the period from 1880–85, Peirce constructed his linear formalizations
of propositional logic and first order predicate logic — following immediately,
but unknowingly, in Frege's 1879 footsteps. These few years apart, Frege and
Peirce independently discovered predicate logic with polyvalent predicates and
quantification. [...] So Peirce's elaborated doctrine of the Dicisign,
primarily developed only in the years around 1900, takes these formal logical
breakthroughs of the years around 1880 as their background: the distinction
between a quantification part and a Boolean part of propositions (today: the
prefix and matrix parts, respectively) became central to Peirce's later analysis
of the two functions of Dicisigns in general. But why did Peirce actually
care to develop, on top of his early achievements in formal logic, a doctrine of
Dicisigns? Two reasons may be inferred. One is that, during the same period,
he developed the competing set of logical formalizations known as Existential
Graphs, giving, on several points, a new perspective on propositions. The other
is that, in this period, he developed his general semiotics, highlighting an
interest in which sign vehicles are capable of performing which logical
functions, leading him to reformulate and generalize basic sets of distinctions
to cover all signs, thus his old icon-index-symbol trichotomy and the classical
logical term-proposition-argument triad.
</quote> (Frederik Stjernfelt, ''Natural Propositions'', p. 50)
Well, I'm a very poor typist and typing all that this early in the day has put
me in dire need of a caffeinated 3rdness, so I'll be back with my 2¢ later on.
Regards,
Jon
--
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