John - I'm not sure I see your point about the 'mediating act'. I tend to steer clear of linguistics, but I view your example as a mechanical transfer of the book from Sue to the child. 'Naming' the book as a symbol of a birthday gift doesn't, to me, suggest mediation.

To me, mediation brings in commonalities between A and B and connects them via this commonality. As such, mediation often but not always, functions as general laws.

The common syllogism shows this:
All men are wise
Socrates is a man
Therefore Socrates is wise.

Here, the term 'man' functions as the mediative term for it imposes commonalities between 'man' and 'Socrates'.

A biological example is the merging of cells with other cells to form a larger organism, where the many cells will be found to have a common rule-based operational mode, that enables them to network with each other.

Edwina


----- Original Message ----- From: "John F Sowa" <s...@bestweb.net>
To: <peirce-l@list.iupui.edu>
Sent: Friday, January 27, 2017 2:47 PM
Subject: Re: [PEIRCE-L] Universal/General/Continuous and Particular//Singular/Individual


On 1/26/2017 6:13 PM, Gary Richmond wrote:
the putative distinction between the semeiotic triad seen /as a single
triadic entity/ /versus/ the triad *as expressing three relations* seems
to me to one worth entertaining in considering what is really a
fundamental aspect of Peircean semeiotics.

I agree.

As an example of a "degenerate" triad, I would cite Between(x,y,z),
which can be defined as a conjunction of two dyads:

  LeftOf(x,y) & LeftOf(y,z)

These two dyads are independent of each other, in the sense that
there is no need to postulate a mediating w that relates x,y,z.

But the triad Give(x,y,z) is nondegenerate because there must be
a mediating act w:

   (Exists w)(Giver(w,x) & Gift(w,y) & Recipient(w,z))

Linguists say that all three roles are obligatory for the act
of giving.  If Sue x hands a book y to a child z, that might not
be an act of giving.  To make it clear that she's giving the book,
a sign of intention, such as "Happy Birthday", would be helpful.

A willingness to accept intentions, laws, and nominalizations as
quantifiable entities distinguishes realists from nominalists.

John



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