Jon Alan Schmidt, list,

   JAS: Sure, but as I understand it, the continuity of the process of
   thought/semeiosis and the primordiality of mind (objective idealism)
   together constitute a fallible metaphysical hypothesis that purports
   to explain the /surprising /fact of continuous spacetime as observed
   in the special sciences.

I'm not sure that Peirce or anybody in his time regarded continuity of space & time (and among later physicists, spacetime) as surprising.  I don't know whether Newtonian physics implied continuity of space & time, although I suspect that the answer is simple (just not for me!). The use of the real number system for such physics certainly suggests continuity. Prominent arguments for discrete spacetime seem more recent, and they're disfavored by currently accumulated evidence insofar as they imply violations of Lorentz symmetries (note for general readers, "Lorentz symmetries," singular or plural, usually refers to the same issues as "Lorentz invariance" refers, especially constancy (invariance-&-universality) of the signal speed limit = lightspeed).

Yes, Peirce grasped that his conclusions about continuity of thought, space, and time amounted to hypotheses, but his seeming confidence in those conclusions over the years could mislead Peirce-reading non-specialists like me into seeming overconfident in arguing for continuity of spacetime.  Note, Peirce's 1868 argument for continuity of thought (in "Questions Concerning Certain Faculties Claimed For Man" (1868) <http://www.iupui.edu/~arisbe/menu/library/bycsp/question/qu-frame.htm>) doesn't depend on objective idealism, which came later.

   JAS: Matter itself is indeed discrete, but it is always in a state
   of continuous motion, such that positions and instants are
   artificial creations for /describing/ that motion. Likewise,
   definite propositions are artificial creations for /describing/ the
   continuous process of thought/semeiosis.

In saying that quantum discretism does not apply to positions in spacetime, I meant merely that it doesn't require spacetime to be pixellated.

Best, Ben

On 9/4/2019 2:15 PM, Jon Alan Schmidt wrote:

Ben U., List:

    BU:  Peirce's _reason_ for thinking space and time continuous was
    that he thought that the process of thought is continuous. 
    Insofar as that was at the basis of his argument for Synechism,
    John S is right, many of us would be reluctant to say that
    physicists ought — even without special relativity or recent
    observations of neutrinos — to expect continuity of spacetime on
    the basis of continuity of the process of thought as such.

Sure, but as I understand it, the continuity of the process of thought/semeiosis and the primordiality of mind (objective idealism) together constitute a fallible metaphysical hypothesis that purports to explain the /surprising /fact of continuous spacetime as observed in the special sciences.

    BU:  The discretism of quantum mechanics pertains first of all to
    amounts of energy and the like, not at all to positions in
    spacetime.  Moreover Peirce did not hold that everything
    whatsoever is continuous; he said more than once that matter is
    discrete and once that it "no doubt" consists of "Boscovitchian
    points."

Matter itself is indeed discrete, but it is always in a state of continuous motion, such that positions and instants are artificial creations for /describing/ that motion. Likewise, definite propositions are artificial creations for /describing/ the continuous process of thought/semeiosis.

    CSP:  ... an Argument is no more built up of Propositions than a
    motion is built up of positions. So to regard it is to neglect the
    very essence of it ... Just as it is strictly correct to say that
    nobody is ever in an exact Position (except instantaneously, and
    an Instant is a fiction, or /ens rationis/), but Positions ... are
    /entia rationis/ (i.e. fictions recognized to be fictions, and
    thus no longer fictions) invented for the purposes of closer
    descriptions of states of motion; so likewise, Thought (I am not
    talking Psychology, but Logic, or the essence of Semeiotics)
    cannot, from the nature of it, be at rest, or be anything but
    inferential process; and propositions ... are artificial creations
    intended to render the description of Thought-motion possible; and
    Names are creations of a second order serving to render the
    representation of propositions possible. (R 295:117-118[102-103];
    1906)

Peirce also discussed the parallels between thought and motion in CP 2.27 (1902), invoking "the Achilles and Tortoise argument of Zeno" and characterizing the formulation of an argument into a series of definite propositions (premisses and conclusions) as "only the self-defence of the process" /after/ it has already run its (continuous) course.  I have suggested on-List previously that in accordance with his objective idealism, motion is a /degenerate/ form of thought/semeiosis, since "physical events are but degraded or undeveloped forms of psychical events" and "the phenomena of matter are but the result of the sensibly complete sway of habits upon mind" (CP 6.264, EP 1:348; 1892).

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 Wed, Sep 4, 2019 at 10:56 AM Ben Udell <[email protected] <mailto:[email protected]>> wrote:

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