Jon Alan, List, JAS > " ... what is allegedly still not being recognized?"
But I will tell you! What now stands in the way of your recognizing the value of the mathematical object (Poset) "3→2→1" (C) (the arrow representing abstracts morphisms)? Because I have shown very simply ( see Podium, section 6, p.18) that this object is isomorphic to the phaneroscopic object "Thirdness →Secondness →Firstness" (D) ( with the arrow representing involvements). I have been proposing it for a very long time as a provider of the mathematical principles of phaneroscopy. If you can present me a better one I am ready to redirect my research ... Regards, Robert Marty Honorary Professor ; PhD Mathematics ; PhD Philosophy fr.wikipedia.org/wiki/Robert_Marty *https://martyrobert.academia.edu/ <https://martyrobert.academia.edu/>* Le mer. 11 août 2021 à 16:56, Jon Alan Schmidt <jonalanschm...@gmail.com> a écrit : > Robert, List: > > Where has anyone disputed anything stated in the quotation below from > Peirce or implied by the subsequent question? Having acknowledged > repeatedly that formulating ideal hypotheses from which necessary > conclusions are subsequently drawn indeed falls within the scope of pure > mathematics, what is allegedly still not being recognized? > > Regards, > > Jon Alan Schmidt - Olathe, Kansas, USA > Structural Engineer, Synechist Philosopher, Lutheran Christian > www.LinkedIn.com/in/JonAlanSchmidt - twitter.com/JonAlanSchmidt > > On Wed, Aug 11, 2021 at 8:01 AM Robert Marty <robertmarty...@gmail.com> > wrote: > >> CS Peirce : 1897 [c.] | On Multitude | MS [R] 26:1 >> >> Mathematics is a study of exact hypotheses, in so far as consequences can >> be deduced from them. *To limit mathematics to the deduction* of those >> consequences would be to separate from it some of the greatest of the >> achievements of modern mathematicians – achievements which nobody but >> mathematicians could have performed – such as the formation of the idea of >> the system of imaginaries, and of the idea of Riemann surfaces*. It must >> be allowed, therefore, that the formation of the hypotheses is a part of >> the business of mathematics*." [emphasize mine] >> >> >> Of course, since recognizing mathematical forms in experiments (his own >> or those submitted to him by phaneroscopists) requires having the right >> forms in his mind... why not recognize it? >> >> >> 🤷 >> >> Le mer. 11 août 2021 à 13:18, <g...@gnusystems.ca> a écrit : >> >>> Continuing our slow read on phaneroscopy, here is the next slide of >>> André De Tienne’s slideshow posted on the Peirce Edition Project >>> (iupui.edu) <https://peirce.iupui.edu/publications.html#presentations> site. >>> >>> >>> Gary f. >>> >>> >>> >>> >>> >>> Text: >>> >>> - What mathematicians observe (and construct and manipulate) are *pure >>> hypotheses, possibilia* that get represented in diagrams. >>> - The significance and truth-value of such constructs depends only >>> on their *internal* inferential coherence, *not on the world of >>> experience*. >>> - Mathematics seeks to *derive consequences* that are true in *every >>> possible configuration*, and not merely what is true of the actual >>> world. >>> - In that regard, *pure mathematics plays freely with forms*, >>> unconcerned with whether they play any part in experience. >>> >>> _ _ _ _ _ _ _ _ _ _ > ► PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON > PEIRCE-L to this message. PEIRCE-L posts should go to > peirce-L@list.iupui.edu . > ► To UNSUBSCRIBE, send a message NOT to PEIRCE-L but to > l...@list.iupui.edu with UNSUBSCRIBE PEIRCE-L in the SUBJECT LINE of the > message and nothing in the body. More at > https://list.iupui.edu/sympa/help/user-signoff.html . > ► PEIRCE-L is owned by THE PEIRCE GROUP; moderated by Gary Richmond; and > co-managed by him and Ben Udell. >
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