List:
> On Oct 25, 2021, at 10:14 AM, robert marty <robert.mart...@gmail.com> wrote:
> (Cited as from MS0602_012)
> ...there should be a nomological science , which shall make out all the
> different indecomposable elements which enter into everything that is
> conceivably possible, discriminates them with care, and shows how can be
> varied and combined.
This sentence has little or any meaning to the iconic, indexical or symbolic
forms of mathematics or physics, but fits the compositions of logical elements
into unbounded numbers of unique compounds (such as the careful discrimination
needed to identify handedness (optical isomers)!) Does the "enter into
everything" quote refer to the Table of Elements? How dark a shadow does this
citation cast on the role of mathematics in phaneroscopy?
It is possible that the (ethical?) “should” refers to a nomological science
that relates to the relations between sin-signs and legi-signs?
It is possible that such a nomological science would be interdependent with the
numerical calculations that relate the propositions of rhema, dici-signs and
arguments such that coherent truths are generated from the correspondences
between quali-signs, iconic forms, numerical indices?
These two possible assertions are consistence with the coherence of the
sin-signs of natural sorts and kinds in both the 2 nd half of the 19 th Century
and in the third decade of the 21 th Century.
Robert, the question to you is, if you remained interested in exploring
Peircian mathematics is: what is the quantitation of your models of lattices
such that a nomological sciences of numbers corresponds with natural sorts and
kinds?
In other words, how is it possible to compose the factors of a polynomial index
of elements into an exact symbolic legi-sign?
After all, this is the central thesis of the trichotomy - with both hypo-theses
and hyper-theses .
As I have previously asserted, I believe that the polynomial index of logical
factors as well as a symbolic obligatory logic is essential to such a
nomological science, such as the perplex numbers in relation to the
compositions of organic mathematical symbols.
I will close by expressing a revealing but abstractly-encoded tease. Beware of
Skolemization!
Cheers
Jerry
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