Jerry.  i diasagree. I think the rhema represents the very possibility of 
connecting an object to the icon and acheiving a particular proposition. 1) 
being of the nature of H  ICON   2) Hx  ( or F......  to be completed) RHEME 3) 
Ha  PROPOSITION  (completed through the indice)  4)  ExFx  Argument   Where 
does the medad enter?  In one sense, it can only be the collection of 
properties of H, or the immediate object 'a.'  Semantically, I have merely 
moved from "This is hydrogen" to "There is hydrogen"  So, I guess the ens a se 
would just be H. The object 'a' becomes merely a tool for reference.  It 
strikes me that it doesn't matter that H is, or where it is. In another sense, 
I have to separate those properties from the putative object for the sake of 
cognition. But that is just conceptual. The experience of H would be like "heat 
lightening."unthought so long as it remained that way. Well, that is close to 
an example that Peirce uses for a medad. Jim W     As a universal system of 
logic, the trichotomy omits the logical distinction between ens a se and ens ab 
alio.The metaphysical importance of ens a se and ens ab alio is most obvious in 
the reasoning that links the concept of "icon" to the concept of "rhema" in 
relation to medads and chemical radicals (this is central to his theory of 
graphs.)
 From: [email protected]
Date: Wed, 5 Aug 2015 10:13:49 -0500
CC: [email protected]
To: [email protected]
Subject: Re: [PEIRCE-L] A metaphysical omission of the trichotomy:   ens a se 
and ens ab alio

List, Jim:
(At the bottom of this post are several relevant citations, all from the 
Commens dictionary.)
Jim writes: However, the ens a se would not be metaphysically necessary! 
In regard to this assertion, my view of the concept of metaphysics is simple - 
it excludes the term "necessary".  Metaphysical beliefs express beliefs about 
the universality of beliefs, so I have no response to your assertion.
Thus, an atom, as you suggest, might possess its 'being-in/from-itself' but 
fail to do so necessarily.
Today, from the perspective of 21st Century science, the concept of a chemical 
atom is based a huge collection of facts and measurements. (I listed five 
components of them in my post to Ben.) 
Conceptually, the concept of an atom is sort of a rhetorical conundrum from an 
algebraic perspective of the logical terms independent, interdependent and 
dependent, such as they may be used in the sense of everyday linear 
algebra.Independent as a physical object as in the sense of  thermodynamics of 
perfect gases.Interdependent as a consequence of the physical structure of 
every atom as a nucleus and electron(s).Dependent from the physical recognition 
of the atomic table of elements, which demands that all atomic numbers are 
ordered as a set of relatives. 
Note that the CSP concept of teridentity is necessary for the concept of the 
interdependent of the physical structure. Physically, in this terminology, the 
science of quantum mechanics is a consequence of the teridentity of atoms.
>From Suarez:Instead of dividing being into infinite and finite, it can also be 
>divided into ens a seand ens ab alio, i.e., being that is from itself and 
>being that is from another. As an atom is, physically, a very very small 
>object, the question of finiteness is a matter of fact and corresponds with 
>the algebraic notion of independent mathematical object, as in thermodynamics.
But, from a different scientific perspective, that of quantum mechanics, the 
interdependence is necessarily and Suarez division into ens a se and ens ab 
alio is necessary to relate the parts of whole. The terminology of mereology 
becomes necessary for quantum logic and quantum calculations.
In the third scientific perspective, that of algebraic dependency, the atoms 
within a molecule are dependent on one another and this dependency is a fact of 
measurement. 
As a universal system of logic, the trichotomy omits the logical distinction 
between ens a se and ens ab alio.The metaphysical importance of ens a se and 
ens ab alio is most obvious in the reasoning that links the concept of "icon" 
to the concept of "rhema" in relation to medads and chemical radicals (this is 
central to his theory of graphs.)
It is important to note that quantum mechanics, thermodynamics and molecules 
(such a DNA) satisfy CSP distinction between between reasoning and the purpose 
of logic, 4.476 and 4.477.
4.476. The purpose of reasoning is to proceed from a recognition of a truth we 
already know to the knowledge of a novel truth.  ...4.477 The purpose of logic 
is attained by any single passage from a premiss to a conclusion as long as it 
does not happen at once that the premiss is true while the conclusion is false. 

Finally, I would iterate once again the distinction between the trichotomy as a 
universal system of logic (to be contrasted with Boole, de Morgan, Leibniz, 
Aristotle, and even the modern notion of hybrid logic)  and the ten classes of 
signs, (see definition below.)
Cheers
Jerry
(The radix of this post lies in the nature of the binding of metaphysics to the 
logic of mathematics and physics; I have attempted to make my thoughts clear 
but probably have not succeeded for many (if not most readers) of this list 
serve.In order to be concise, I have omitted any discussion of the logic 
centralizer of the trichotomy, the economy of relations.)


Terms from Commens Dictionary:  
Every class is constituted and held together by a concept or idea expressed in 
its definition.
CSP 7.537It is impossible to analyze a triadic relation, or fact about three 
objects, into dyadic relations; for the very idea of a compound supposes two 
parts, at least, and a whole, or three objects, at least, in all.
…the concept of teridentity is not mere identity. It is identity and identity, 
but this “and” is a distinct concept, and is precisely that of teridentity.

Quality is the monadic element of the world. Anything whatever, however complex 
and heterogeneous, has its quality sui generis, its possibility of sensation, 
would our senses only respond to it.

A Sinsign (where the syllable sin is taken as meaning “being only once,” as in 
single, simple, Latin semel, etc.) is an actual existent thing or event which 
is a sign. It can only be so through its qualities; so that it involves a 
qualisign, or rather, several qualisigns. But these qualisigns are of a 
peculiar kind and only form a sign through being actually embodied.A Collection 
is anything whose being consists in the existence of whatever there may exist 
that has any one quality; and if such thing or things exist, the collection is 
a single thing whose existence consists in the existence of all those very 
things.According to this definition, a collection is an ens rationis. [—] A 
collection has essence and may have existence.

On Aug 3, 2015, at 11:56 AM, Jim Willgoose wrote:Jerry,
 
There is a suggestion that Suarez holds that with finite being you cannot 
really separate their being (existence) and essence. However, the ens a se 
would not be metaphysically necessary! Thus, an atom, as you suggest, might 
possess its 'being-in/from-itself' but fail to do so necessarily. I just don't 
think that a distinction within semiotics/logic has anything to say about this. 
Jim W
 
From: [email protected]
To: [email protected]; [email protected]
Date: Sun, 2 Aug 2015 17:57:28 -0500
Subject: RE: [PEIRCE-L] A metaphysical omission of the trichotomy: ens a se and 
ens ab alio

Hello Jerry.
 
How can you say that P ignores the distinction? There is a lot of 
distinguishing between being-in-itself and existential relations.  I doubt that 
a discussion of medads (or satsified, 0-place relations) or rhemes/propositions 
solely within the logic will help, since it is a modern epistemological 
(phenomenological) approach that is decisive for existence. Cheaply put, 
experience and science replaces theology with respect to ens ab alio. 
 
Jim W
 
From: [email protected]
Date: Sun, 2 Aug 2015 13:36:06 -0500
To: [email protected]
Subject: [PEIRCE-L] A metaphysical omission of the trichotomy: ens a se and ens 
ab alio

List:
CSP proposed the trichotomy as a universal logic, such that the rhetorical 
terms can be used to generate an argument which is decidable - that is, is 
either true or false.  The binding of the 8 rhetorical terms that serve to 
ground the propositions of the trichotomy to one-another is unclear (to me, at 
least).  Although, the rhetoric is somehow related his view of the 
incompleteness of the blanks of a sentence and filling those blanks with terms 
such the meaning of the medad is a proposition.  (This notion of a completed 
medad can (and should) be contrasted with the Aristotelian chaining of sorites, 
the chaining of chemical elements into compounds and the concatenation of 
variables in linear algebra by presupposing a common Cartesian axis of 
representation. And, of course, the corresponding diagrams of logical objects.)
This background of CSP's attempt to construct a universal form for 
argumentation ignores the distinctions betweenens a se and ens ab alio, 
metaphysical terms of the influential philosopher Suarez, 1548-1617.
Chemical argumentation, which certainly is a part of universal argumentation, 
distinguishes between ens a se and ens ab alio  at the fundamental level of the 
meaning of an atom.  The sin-sign of an atom necessarily represents a name that 
represents the predicates of the form.  In this respect, the index of the 
sinsign is a single unit, it is being that is from itself,   that is, ens a se. 
  
Chemical argumentation is extended from atoms to molecules. The sinsign of a 
molecule necessarily represents a compound of atoms.  The number of atoms in a 
molecule is indexed on the elements present in the entity. In this respect, the 
index must be complete with respect to the parts of the whole, the atomic units 
that give form to the molecule. That is, an index of the sinsign must be based 
on ens ab alio,  being that is from others.
The ordering of concepts from ens a se to ens ab alio  is the basis of the 
logical conjunction of material inference that form icons.  CSP then argues 
these material inferences are components of the medad and beget the 
contribution of the rhema to the universal argument.
While a sinsign may have many indices, the ens a se to ens ab alio is essential 
to forming propositions related to CSP's notion of medads within the trichotomy.
This suggests we need to re-think the ordering of concepts that are implicit to 
the terminology of the trichotomy.
Cheers
Jerry







Suárez made an important investigation of being, its properties and division in 
Disputationes Metaphysicae (1597), which influenced the further development of 
theology within Catholicism. In the second part of the book, disputations 
28-53, Suárez fixes the distinction between ens infinitum (God) and ens finitum 
(created beings). The first division of being is that between ens infinitum and 
ens finitum. Instead of dividing being into infinite and finite, it can also be 
divided into ens a seand ens ab alio, i.e., being that is from itself and being 
that is from another. A second distinction corresponding to this one:ens 
necessarium and ens contingens, i.e., necessary being and contingent being. 
Still another formulation of the distinction is between ens per essentiam and 
ens per participationem, i.e., being that exists by reason of its essence and 
being that exists only by participation in a being that exists on its own 
(eigentlich). A further distinction is between ens increatum and ens creatum, 
i.e., uncreated being and created, or creaturely, being. A final distinction is 
between being asactus purus and being as ens potentiale, i.e., being as pure 
actuality and being as potential being. Suárez decided in favor of the first 
classification of the being into ens infinitum and ens finitum as the most 
fundamental, in connection with which he accords the other classifications 
their due. In the last disputation 54 Suárez deals with entia rationis (beings 
of reason), which are impossible intentional objects, i.e. objects that are 
created by our minds but cannot exist in actual reality.[7]
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