List:

Semes are creations of thought for the purpose of representing
Propositions, which are creations of thought for the purpose of describing
Arguments.  By contrast, the *continuity* of the latter as the "inferential
process" of semeiosis--i.e., thought itself--is *real*.

CSP:  ... I conceive that a Continuum has, IN ITSELF, no definite parts,
although to endow it with definite parts of no matter what multitude, and
even parts of lesser dimensionality down to absolute simplicity, it is only
necessary that these should be marked off, and although even the operation
of thought suffices to impart an approach to definiteness of parts of any
multitude we please.*
*This indubitably proves that the possession of parts by a continuum is not
a real character of it. For the real is that whose being one way or another
does not depend upon how individual persons may imagine it to be. It shows,
too, that Continuity is of a Rational nature. But it conveys no gleam of
evidence that Continuity itself is Unreal ... (R S30 [Copy T:6-7]; c. 1906)


The continuity of a line is fundamental, such that it cannot be *built up* of
points, or even of *definite *line segments.  Likewise, the continuity of
semeiosis is fundamental, such that a Proposition cannot be *built up* of
Semes, and (especially) an Argument cannot be *built up* of definite
Propositions.  Nevertheless, those parts can be "marked off" as needed or
desired, up to "any multitude that we please."  But what about Peirce's
subsequent characterization of a continuum as something that is *composed *of
"material parts"?

CSP:  Whatever is continuous has *material parts* ... The *material parts* of
a thing or other object, *W*, that is composed of such parts, are whatever
things are, firstly, each and every one of them, other than *W*; secondly,
are all of some one internal nature (for example, are all places, or all
times, or all spatial realities, or are all spiritual realities, or are all
ideas, or are all characters, or are all relations, or are all external
representations, etc.); thirdly, form together a collection of objects in
which no one occurs twice over and, fourthly, are such that the Being of
each of them together with the modes of connexion between all
subcollections of them, constitute the being of *W*. (R 300:82-83[40-41],
CP 6.174; 1908)


Taking *W* as the real *semeiosic *continuum--the entire Universe as a vast
Argument (cf. CP 5.119, EP 2:193-194; 1903), which "is perfused with signs,
if it is not composed exclusively of signs" (CP 5.448n1p5, EP 2:394;
1906)--Propositions certainly meet the first two requirements to be its
material parts, as well as the third since every *occurrence *of
a Proposition is a different *Instance *of it.  As for the fourth, Peirce
affirmed elsewhere that "the mode of being of the composition of thought"
is "always of the nature of the attribution of a predicate to a subject"
(CP 6.341; 1908)--which is precisely the nature of a Proposition.
Returning to the quote above, he even went on to acknowledge the element of
*arbitrariness* in identifying any continuum's material parts.

CSP:  Almost everything which has material parts has different sets of such
parts, often various *ad libitum*. Nothing which has an Essence (such as an
essential purpose or use, like the jackknife of the celebrated poser) has
any material parts in the strict sense just defined. (R 300:83-84[41-42],
CP 6.174; 1908)


He then affirmed that those parts are either vague (i.e., indefinite) or *entia
rationis* corresponding to some *state *of the whole when something
prevents the latter "from having any material parts in the strict sense."

CSP:  But the term "material parts" may, without confusion (if a little
care be exerted), be used in a somewhat looser sense. Namely, if the Being
(generally, a Concept) of an object, *T*, essentially involves
something *C* which
prevents it from having any material parts in the strict sense, and if
there be something, *W*, which differs from *T* only in the absence of *C* and
of any other such hindrances, so that *W* has material parts, then the
material parts of *W* may loosely be termed material parts of *T*; but in
such case the concept of *W* so derived from *T* is nearly or quite always
somewhat vague, so that either the material parts will be so too, or else
they must be conceived as merely the parts of some *state* of it, and very
likely of an instantaneous state that is an *ens rationis* closely
approximating to the nature of a fiction. It will be seen that the
definition of Material Parts involves the concept of *Connexion*, even if
there be no other connexion between them than co-being; and in case no
other connexion be essential to the concept of *W*, this latter is called a
*Collection* … (R 300:84-85[42-43], CP 6.174; 1908)


Still taking *W* as the real *semeiosic *continuum, a candidate for an
example of *T* is the System of Existential Graphs, with Propositions as
its material parts in the *loose *sense; i.e., the Graphs *themselves*,
since "Every graph expresses some proposition" (R 490:36; 1906).  This
includes the Blank as the Graph of Coexistence--everything taken for
granted at the outset--along with any number of Graphs that are explicitly
scribed on the Sheet of Assertion.  They can only ever be the parts of a
*hypothetical* "instantaneous state" of a *real* Argument for the purpose
of analysis--a *Collection *of Propositions connected *only *by co-being,
since leading principles correspond to the transformation rules governing
"Thought-motion" from one state to another.

Regards,

Jon S.

On Wed, May 1, 2019 at 2:52 PM Jon Alan Schmidt <[email protected]>
wrote:

> List:
>
> Nearly four months ago, I posted the following.
>
> JAS:  I have been musing recently on the well-known remark by Peirce that
> "just as we say that a body is in motion, and not that motion is in a body,
> we ought to say that we are in thought, and not that thoughts are in us"
> (CP 5.289n1, EP 1:42n1; 1868).  He also asserted in the same series of
> articles that "all thought is in signs" (CP 5.253, EP 1:24; 1868), so by
> substitution we ought to say that our individual (Quasi-)minds are in
> semiosis, and not that signs are in our individual (Quasi-)minds.  As
> Peirce recognized, despite not having the benefit of Einstein's insights,
> Zeno's famous paradoxes are dissolved by understanding *continuous *motion
> through space-time as a more fundamental reality than *discrete *positions
> in space and/or moments in time.  We arbitrarily *mark *the latter to
> facilitate measurement and calculation for particular purposes, but space
> is not *composed *of points and time is not *composed *of
> instants.  Likewise, I suggest that semiosis is *continuous*, and we
> arbitrarily isolate *discrete *signs--or rather, Instances of Signs--to
> facilitate analysis for particular purposes.  We can say that a Dynamic
> Object determines a Token of a Type to determine a Dynamic Interpretant in
> an individual (Quasi-)mind, treating this as an actual event "occurring
> just when and where it does" (CP 4.537; 1906).  Nevertheless, the Type is
> not *composed *of its Tokens.
>
>
> In the wake of our various discussions since then, I believe that these
> comments still hold up quite well.  In fact, I recently came across a
> passage in a discarded manuscript draft for the end of "Prolegomena to an
> Apology for Pragmaticism" (CP 4.572) that sheds further light on the matter.
>
> CSP:  [I mentioned on an early page of this paper that this System leads
> to a different conception of the Proposition and Argument from] the
> traditional view that a Proposition is built up of Names, and an Argument
> of Propositions. It is true that of the four meanings of the term Argument
> (for the Middle Term, for the Copulation of Premisses, for the setting out
> of Premisses and Conclusion, and for the Logical operation of converting
> Premisses into Conclusion), the second and third justify the traditional
> account. But in the last sense, which alone is the essential one, an
> Argument is no more built up of Propositions than a motion is built up of
> positions. So to regard it is to neglect the very essence of it ... Just as
> it is strictly correct to say that nobody is ever in an exact Position
> (except instantaneously, and an Instant is a fiction, or *ens rationis*),
> but Positions are either vaguely described states of motion of small range,
> or else (what is the better view), are *entia rationis* (i.e. fictions
> recognized to be fictions, and thus no longer fictions) invented for the
> purposes of closer descriptions of states of motion; so likewise, Thought
> (I am not talking Psychology, but Logic, or the essence of Semeiotics)
> cannot, from the nature of it, be at rest, or be anything but inferential
> process; and propositions are either roughly described states of
> Thought-motion, or are artificial creations intended to render the
> description of Thought-motion possible; and Names are creations of a second
> order serving to render the representation of propositions possible. (R
> 295:117-118[102-103]; 1906)
>
>
> Semeiosis is a continuous "inferential process," analogous to *motion*;
> definite Propositions are "artificial creations" for the purpose of
> describing that Argument, analogous to *positions*; and Semes are
> "creations of a second order" for the purpose of representing those
> Propositions--perhaps analogous to coordinates?  I suspect that Peirce had
> something similar in mind when he wrote another passage less than two years
> earlier, which I have quoted previously.
>
> CSP:  Experience is first forced upon us in the form of a flow of images.
> Thereupon thought makes certain assertions. It professes to pick the image
> into pieces and to detect in it certain characters. This is not literally
> true. The image has no parts, least of all predicates. Thus predication
> involves precisive abstraction. Precisive abstraction creates predicates.
> Subjectal abstraction creates subjects. Both predicates and subjects are
> creations of thought. But this is hardly more than a phrase; for *creation
> *and *thought *have different meanings as applied to the two … That the
> abstract subject is an *ens rationis*, or creation of thought does not
> mean that it is a fiction. (NEM 3:917-918; 1904 Nov 21)
>
>
> An Argument can be *analyzed *into definite Propositions married by a
> logical leading principle, and a Proposition can be *analyzed *into
> abstracted subjects married by a prescinded predicate.  However,
> these parts are all "creations of thought," *entia rationis*, Perceptual
> Judgments rather than Percepts themselves--which is presumably why "A
> proposition can be separated into a predicate and subjects in more ways
> than one" (NEM 3:885; 1908 Dec 5).
>
> Regards,
>
> Jon Alan Schmidt - Olathe, Kansas, USA
> Professional Engineer, Amateur Philosopher, Lutheran Layman
> www.LinkedIn.com/in/JonAlanSchmidt - twitter.com/JonAlanSchmidt
>
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