supplement: I just googled involution, but it is something medicinical. So what´s the noun of to involve, is it involution, involvement, or involvation?
Jerry, List,
 
yes, but all that doesn´t  mean, that there isn´t a sharp distinction between classes. It just says, that classes can involve each other. But there still isn´t a gradient between the involving and the involved class, and neither one between two parallelly involved classes. The gradient is the degree of involution (quantitative), but not between the characteristics of e.g. indexicality and symbolicity (qualitative). For example, if there is a book about frogs with a chapter about toads in it, the topic is frogs, but the book involves toads, then there still is a sharp distinction between frogs and toads.
 
Best regards, Helmut
 
 
 19. April 2024 um 05:22 Uhr
Von: "Jerry LR Chandler" <jerry_lr_chand...@icloud.com>
 
List, Jon:
 
On Apr 16, 2024, at 1:10 PM, Jon Alan Schmidt <jonalanschm...@gmail.com> wrote:
 
HR: But all this doesn´t mean, that between parallel classes (such as icon, index, symbol) there is a gradient instead of a sharp distinction.
 
According to Peirce, one sign can be more or less iconic, indexical, or symbolic than another sign--especially since all symbols involve indices and icons, and all indices involve icons. Moreover, a sign can be predominately iconic while still having indexical and symbolic aspects, or predominately indexical while still having symbolic aspects. On the other hand, both tones as "indefinite significant characters" and types as "definitely significant Forms" are embodied in tokens, such that every type involves tokens (its instances) and every token involves tones. Most (maybe all) of the other eight trichotomies in Peirce's 1906-1908 taxonomies are sharp distinctions, although the necessitant typically involves the existent and the possible, and the existent involves the possible. For example, every sign must be either a seme, a pheme, or a delome; but all delomes involve phemes and semes, and all phemes involve semes.
Returning to the 1868 metaphysical definition of substance, one can attempt to ascribe names to substances following the rhetorical guidance that would presumably follow from the agency of these manufactured descriptors.  Note the three distinctions that CSP hypotheses for his metaphysics.
 
For example, I could attempt to assign the names of the ordered sequence of saturated hydrocarbons, methane, ethane, propane, butane, pentane, hexane, septane, octane, nonane, decane, and so forth.  (It is probable that CSP was aware of the relative compositions of these (the first ten) saturated hydrocarbons.). The molecular formula are given by the general formula, C(n)H(2n+2). 
 
Each of these substances has properties related to temperature, such as melting point or boiling point and flammability.
 
Each of these substances has a graph, a specific graph of the arrangement of the (n) + (2n+2) atoms in a pattern that was determined by methodologies of chemical ANALYSIS and SYNTHESIS.  Furthermore, in the late 1890’s, CSP produced a research article on acetylene, a related hydrocarbon that indicated he was knowledgable of the state of the art.  
 
Can you create any correlates between the categories ( 9, or 10, or 66 or any other integer) of the semantics you appear to believe in?  Or, are semantics merely rhetoric semantics for the sake of argument that can not be related to substances?
 
More generally, from a philosophical point of view, when and how will such terminology generate the agency need for pragmatic work of symbolic agency? 
 
Cheers
 
Jerry 
 
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