Hi,
In http://en.wikipedia.org/wiki/Trikonic, I find the following two
statements:
"Firstness is the mode of being that of which is such (061514-1)
as it is, positively and without reference to anything else.
Secondness is the mode of being that which is such as it is,
with respect to a second but regardless of any third.
Thirdness is the mode of being that which is such as it is,
in bringing a second and third into relation to each other."
"Vector of Determination The object determines (2ns)
(061514-2)
a sign (1ns) for an interpretant (3ns)."
It seems to me that (061514-2) is consistent with (061514-1) except the
following question that arises in connection with the former:
"How can Firstness be 'determined' by Secondness ?" (061514-3)
Any suggestion ?
I wonder if the seeming contradiction in (061514-2) can be avoided by
re-stating it as:
The object (2ns) presupposes a sign (1ns) which determines (061514-4)
an interpretant (3ns).
which then fits the definition of a mathematical category; i.e.,
The Peircean categories of 2ns, 1ns, and 3ns form (061514-5)
a mathematical category.
If (061514-4) is true, we can conclude that
The concept of category is self-similar similar (061514-6)
to a Russian nesting doll.
With all the best.
Sung
___________________________________________________
Sungchul Ji, Ph.D.
Associate Professor of Pharmacology and Toxicology
Department of Pharmacology and Toxicology
Ernest Mario School of Pharmacy
Rutgers University
Piscataway, N.J. 08855
732-445-4701
www.conformon.net
> RESPONSE TO GARY RICHMOND FROM GCM
> 1] . But, unlike Hegel's position, 3ns does not Aufheben
> (i.e., invalidate, annul, cancel out) the other two categories, but rather
> joins them in a genuine tricategorial relation.
> GCM: Where does Hegel say âAufhebenâ absolutely âcancels out
> the other two categories? That would seem to go against the general tenor
> of
> his philosophy in general - but I have nothing specific to oppose it with.
> 2] 1º Thanks, but I don't think I'd exactly say that
> "reality is continuity," but, as I wrote today, "pragmatism
> involves 'the recognition that continuity is an indispensable element of
> reality' [and that continuity is simply what generality becomes in the
> logic of
> relatives."] CSP"
> GR said, sometimes quoting Peirce:
> 2º Reality consists in regularity. Real regularity is active
> law. Active law is efficient reasonableness, or in other words is truly
> reasonable reasonableness
> 3º that continuity is an indispensable element of reality,
> and that continuity is simply what generality becomes in the logic of
> relatives."
> GCM: If âReality consists in regularityâ and âReal
> regularity is active lawâ and âActive law is EFFICIENT
> reasonablenessâ and âcontinuity
> is simply what generality becomes in the logic of relativesâ and
> âcontinuity⦠like
> generality, and more than generality, is an affair of thought, and is the
> essence of thoughtâ and âis an essential ingredient of realityâ,
> especially
> when combined, seem to say to me âreality is continuity". However, you
> do
> say, âyet does not by itself constitute realityâ (even though it is
> the âessential
> ingredientâ) which, in first reflex, I agree with â except: Â what do
> you mean by âconstituteâ of something
> so culturally and conventionally defined with such terms as
> Â âregularityâ, âreasonablenessâ, and âgeneralityâ.
> What is the constituent? This is all provisional on my (GCM) part.
> 3] GR: âI'm glad the idea of vectors has given you
> "much to think about." I think about them a lot, and wonder why they
> haven't been taken up much in the Peircean secondary literature.â
> GCM: All I have been able to find in Peirce about âvectorsâ
> is item (158) in âLogic of Relatives, 1870â in CE, vol. 2, pg. 414-5
> which to
> an utterly mathematical illiterate person such as I cannot possibly begin
> to
> comprehend. Is there something English in Peirce?
> 4] GR: âHelmut wrote that assignment of elements of a triad
> to the categories depends on the observer position, and that assignment of
> categories to triads seem to underlie an inversion due to observer
> position
> change. I would, rather, suggest that the putative "inversion" is the
> result not of "observer position change" but of not considering
> vectorial movement through the categoriesâ¦â
> GCM: The âbrief comments belowâ generally elude my old mind,
> i.e., âthe most general mode of reality⦠involves (vector of
> involution) the
> others (actuality, action, and possibility, feeling), this much in the way
> in
> which lawfulness (habit, 3ns) involves force (law in action 2ns [âPeirce
> argues
> repeated and persuasively that there are real generalsâ]).â âThere
> are exactly six paths (vectors)
> through a genuine tricategorial relation, and that in matters of
> categorial
> involution (such as the one just considered) one commences at 3ns
> [âactuality
> (2ns) is clearly also real enough that some, nominalists, have stopped
> thereâ],
> first, which involves 2ns (and 1ns [real possibles]), next, and 2ns
> [there are real generalsâ] â in
> turn involves 1ns [âreal possiblesâ], finally. Thus, "first" in
> categorial vector analysis is not necessarily category 1ns [âreal
> possiblesâ]
> (commencing at 1ns [âreal possiblesâ] is the case for only 2 of the
> six paths),
> but may commence at 3ns [âthere are real generalsâ] or 2ns.
> [ââactuality (2ns)
> is clearly also real enoughâ]
>
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