Jerry, List,

Nominalism is a weaker hypothesis than Realism, so if something is consistent 
with realism, then it is consistent with nominalism. Locked, for example, 
distinguished between the nominal essence and the real essence. The former 
tells us what we think something is like, while the latter is what the thing is 
really like. According to his semiotic theory we only have access to the 
nominal essence, which is constructed from our experience. The real essence we 
can never directly know. We can get at it only via other signs, which makes 
them, by his account, nominal. He also thought that meaning usually followed 
the nominal essence, which is historically questionable, but the difference 
between what we take to be the real essence and the nominal essence has to be a 
nominal distinction. There are no unmediated signs of reality and, for Locke, 
there is no way to get out of this mediated representation. Peirce thought we 
could get out of this by abduction, but empiricists don't allow this as part of 
logic. Nominalism says nothing else about the real essence of things. Realists 
have to add something in order to make their claims. Empiricists typically 
claim that we don't need anything more to do science.

So, logically the consistency of realism entails the consistency of nominalism.

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________________________________
From: Jerry LR Chandler <jerry_lr_chand...@mac.com>
Sent: Sunday, January 29, 2017 9:51:30 PM
To: Eric Charles
Cc: Peirce List; Helmut Raulien
Subject: Re: [PEIRCE-L] Nominalism vs. Realism

Eric:

On Jan 28, 2017, at 4:23 PM, Helmut Raulien 
<h.raul...@gmx.de<mailto:h.raul...@gmx.de>> wrote:

In my view of sytems theory, a system is more than it´s parts, of course, and 
what is more, is real and natural. But in my opinion "natural" does not mean 
"good for us". A sytem that contains other systems,

Beyond statistics, I am not aware of your scientific background.  Indeed, I am 
interested in your views as a statistician with regard to part-whole illations. 
For several years, in the 1990’s, I taught a course (at the NIH) entitled “ 
Health Risk Analysis” that was an inquiry into the logic of distributions and 
pragmatic public health assessment of the “realism” of chemical and radiation 
exposures.

The questions raised in these lectures was a factor that contributed to my 
study of logic and CSP’s writings. In my view, Peirce was first a chemist and 
logician, and later added to these belief systems various conjectures about 
other philosophies.  Again, in my view, Peirce crafted his logical beliefs to 
be consistent with the chemical sciences as they stood in his era, an era when 
the chemical sciences were undergoing rapid development.

Now, some “leading principles” behind my questions to you. The meta-physical 
notion of “nominalism” is simply not consistent with the basic foundational 
structures of the chemical sciences as it stood in the late 19 th Century.  
Hence, CSP was faced with the logical tension between the empirical evidence 
and the structural logic of chemical graph theory with the meta-physical 
principle of nominalism.

The consequences of this logical tension are far-reaching.  CSP introduces the 
‘leading principles’ to ground the historical developments of CSP’s numerous 
attempts to update his philosophical premises of “relationism” to be consistent 
with scientific developments during his era - his efforts to construct a atomic 
table of elements, chemical bonding, electricity as particles, thermodynamics, 
handedness of molecules, the nature of thought, etc.  These scientific 
developments led directly to his notions of mathematical “relations" as 
grammatical objects, and his constructive notion of graph theory.

With these facts as background, I would venture to say that, in part, CSP 
rejected the meta-physical notion of nominalism because of the role that the 
concept of “name” in chemical calculations.
The role of a chemical name, in its primary scientific function, expresses a 
illation between a collection of properties and an individual object (singular).
Two or more chemical names, when combined, generate a new name.
Sodium and chlorine combine to form a new name, a new particular, a new 
individual, a new concept with new attributes..
Hydrogen and oxygen combine to form a new name, a new particular, a new 
individual, a new concept with new attributes.
And so forth for any combination of any number of chemical elements.
These facts manifest themselves concretely. Mathematical calculations for all 
chemicals are based on the concepts of atomic weight, atomic valence, molecular 
weight, molecular formula, molecular structure, molecular handedness and 
molecular forms.  Physical measurements are used to determine the parameters 
for these calculations.

Although these simple facts are well documented for a huge number of examples, 
the logical implications are almost universally rejected in the philosophies of 
man and nature - for example the philosophy of mathematics (set theory and 
category theory, etc.) and physics.

The relationship between the primary role of chemical names as atomic numbers 
and molecule numbers and the mathematical notion of a statistical variable or a 
dynamic variable is a secondary role for describing the change in chemical 
names.  (See, for example, the works of Rene Thom on the birth and death of 
forms.)

Today, at least in the scientific world in which I work, it is very rare to 
meet a nominalist.
Nevertheless, it appears to me, that many, if not most, bio-semioticians are 
nominalists!

May I ask how you view the role of nominalism in the philosophy of statistics?
More particularly, what would be the role of nominalism in the expression of an 
associative law?
And in the expression a distributive law?

Cheers

Jerry

Research Professor
Krasnow Institute for Advanced Study
George Mason University

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