Jon A.S., Kirsti, list,

Regarding Peirce about reflected-on qualities as generals, I was basing that on the same text as contains CP 1.427 quoted by Jon A.S. That is "§2. Quality" http://www.textlog.de/4282.html in "The Logic of Mathematics; An Attempt to Develop My Categories From Within," an MS from circa 1896.

From CP 1.422:

   [....] In other words, it is concrete things you do not believe in;
   qualities, that is, generals — which is another word for the same
   thing — you not only believe in but believe that they alone compose
   the universe. [....]

From CP 1.425:

   [....] When we say that qualities are general, are partial
   determinations, are mere potentialities, etc., all that is true of
   qualities reflected upon; but these things do not belong to the
   quality-element of experience. [....]

Best, Ben

On 1/15/2017 11:47 AM, Jon Alan Schmidt wrote:

Kirsti, List:

Not surprisingly, I have found that Peirce was exactly right when he stated, "Of all conceptions Continuity is by far the most difficult for Philosophy to handle" (RLT:242). I think that the light bulb finally came on for me when I stopped focusing on a line as consisting of potential vs. actual points, and instead recognized that it consists of continuous line segments all the way down. This reflects the distinction that I just mentioned in my response to Jon A. between the singular (point) and the individual (continuous line segment). A true singularity--determinate in every conceivable respect--would be a /dis/continuity, and hence is only an ideal.

As you noted, it is important to keep in mind that the points or line segments do not /comprise / the continuum; the latter is the more fundamental concept. Hence Peirce changed "the question of nominalism and realism"--rather than, "Are generals real?" it became, "Are any continua real?" (RLT:160) In that sense, I disagree with your subsequent post directed at Ben--a quality /is/ general, because it is a continuum; it just has a different /kind / of generality/continuity from a habit or law. In fact, Peirce explicitly contrasted the degenerate or negative generality of a quality as permanent or eternal possibility with the genuine or positive generality of a law as conditional necessity (CP 1.427).

Regards,

Jon Alan Schmidt - Olathe, Kansas, USA
Professional Engineer, Amateur Philosopher, Lutheran Layman
www.LinkedIn.com/in/JonAlanSchmidt <http://www.LinkedIn.com/in/JonAlanSchmidt> - twitter.com/JonAlanSchmidt <http://twitter.com/JonAlanSchmidt>

On Sun, Jan 15, 2017 at 8:46 AM, <[email protected] <mailto:[email protected]> > wrote:

Jon A.S.

First: see my recent response to Jon Awbrey.

Second: In developing his theory of true continuity, CSP used the basic geometrical notions of a line and a point. (According to his architecture of sciences, which presents not just an architecture of sciences, but more so a method for proceeding with any questions).

CSP grew dissatisfied with the ancient view as well as the Kantian view of continuity. The latist view of CSP was that there are no points in true continuity, neither does it consist of points, however small, however near to each other.

BUT, as a methodological advice, he wrote that it is admissible to separate of point in the continuity in question, IF it is done with a deliberate aim & a readyness to leave from separation to unification as soon as possible.

In separating any point within the continuum in question, continuity gets violated. But this violation may and can be mended. - The point, thus sepateted, must be re-posioned into the contunuity it was originally pointed out.

To understand all this, it is necessary to truly understand the essence of ordinal (nin contrast to cardinal) mathematics,simplest arihmetics, in the philosophy of CSP.

The Fist, the Second, the Third.... Then at least a little bit new Fist, Second, Third...

CSP came to the conclusion that his categories beared a resemblance with the three moments by Hegel. - After having been mocking Hegel's Logic (with good reasons!)

What, for Peirce ( and me), is universal is change, chance (spontaneity) and continuity. But, mind you, all together.

>From exlusion of existent individuals (points in a line) does not follow that existent individuals do not matter. - it just follows that from any collection og existent indivuals ( collection of points) it is not possible to construe a continuum. - However hard it may be tried.

Continuity as an abstraction does not amount to understanding real continuity. With figments of your imaginations you can do (almost) anything with a whim of your mind. But even then there is the ALMOST. The 'not quite', a residual.

Well. You asked about the relation between universal and general. But from the viewpoint of taking existent individuals as the starting point. - Which is wrong.

It presents a nominalistic starting point. - Are generals real? was the formulations CSP gave for the basic philosphical disagreement in the Middle Ages between the Thomists and the Scotists. - Since then, the nominalistic view has absolute taken the upper hand. - It rules our minds, from the first grade at school onwards.

I truly appreciate your posts to the list. A very good understanding they present, with due accuracy. - Very seldom met qualities, very seldom...

With appreciation,

Kirsti

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