Robert, I can see how your Categorical Theoretic Structuralism is a way of establishing the credentials of phaneroscopy as a science. But it doesn’t explain why Peirce’s classification places it first among all positive sciences, prior to logic and semiotic. Almost any positive science can call on a mathematical theory and apply it to theorize about its observations; but phaneroscopy is unique in this respect because it is supposed to “dispense with preconceptions” and consider phenomena in their Firstness. I’m hoping that the second part of André’s presentation on prescission will help to show how phaneroscopy can be “pre-truth.” But I think we should wait and see if there are any other comments or questions on slide 7 before we go on to the next one.
Gary f. From: [email protected] <[email protected]> On Behalf Of robert marty Sent: 26-Jun-21 17:34 List, My aim is not to differ from André's approach to discovering categories. I do not want to engage in an endless philosophical debate about the reality of mathematical objects and their complex relationship with experience. The disagreements will come later because I assume a Categorical Theoretic Structuralism position in mathematics. I extend it to phaneroscopy using an isomorphism between an abstract mathematical object (Poset or Functor) and the set of relations between Peirce's universal categories as he defines them. It seems to me that this consolidates the scientific status of phaneroscopy. Then - note that this is my conclusion - I point out all the interest in considering these structures because they agree with Peirce's objective idealism if we need a philosophical reference. Your quotation from Peirce introducing the question of truth is enlightening in this respect: "And this truth like every truth must come to us by the way of experience. No apriorist ever denied that.". Indeed, whether you consider me as an apriorist or not, it will not destroy this isomorphism. All means are good to reach the truth; let us not waste time in vain quarrels. Sincerely, Robert Marty Honorary Professor; Ph.D. Mathematics; Ph.D. Philosophy <https://fr.wikipedia.org/wiki/Robert_Marty> fr.wikipedia.org/wiki/Robert_Marty <https://martyrobert.academia.edu/> https://martyrobert.academia.edu/
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