Atila, List, >From a rank amateur’s understanding of quantum logic (I am definitely out of my element here), what strikes me as decisive in your abstract is exactly the turn towards Peircean triadicity. You appear to me to be arguing that the lattice program of Birkhoff and von Neumann and the further refinements of Heelan (none of which I have any knowledge of) appear to function mainly as programs 'on the way' to more solid advances. These will require what Peirce had already determined: that *relations are ontologically primary and irreducibly triadic*.
In your view the inadequacy of dyadic formalisms seems to be not just a technical limitation but a categorial one: Better understanding quantum phenomena demands precisely the kind of triadic, mediated structures Peirce developed in logic. Seen in this way, contemporary approaches need to develop maths capable of expressing Peirce’s core insight: intelligibility lies in the lawful (i.e., involving 3ns) development of relations that can't be decomposed into dyadic terms. What I take from your abstract is that quantum theory is beginning to grapple with Peirce's logic and has recently acquired the formal resources to catch up to him. It would be great if at some point you might find an opportunity to again take up these ideas in this forum, hopefully in layman's terms (if that's even possible). Best, Gary R On Fri, May 1, 2026 at 10:14 PM Atila Bayat <[email protected]> wrote: > Thank you! Hope that works. I will get some out to the Peirce group some > time this year. > Regards, > Atila > > On Fri, May 1, 2026 at 9:49 PM Gary Richmond <[email protected]> > wrote: > >> Atila, >> >> It would appear that this is the address to at least submit a one page >> abstract to by May 1st: >> [email protected] >> >> I couldn't find a link for full paper submissions. >> >> Best, >> >> Gary Richmond (writing as Peirce-L moderator) >> >> On Fri, May 1, 2026 at 8:52 PM Atila Bayat <[email protected]> wrote: >> >>> + Gary. >>> >>> Dear List, I could not find the location to submit papers to Montreal, >>> and I have a draft of my articles for this conference. Has anyone tried? I >>> sent my draft to Jean-Yves. It's on the topic I raised last year on the >>> list, and working on it since that time. >>> >>> Please advise. >>> >>> Atila >>> >>> On Tue, Apr 21, 2026 at 11:36 AM jean-yves beziau <[email protected]> >>> wrote: >>> >>>> We are pleased to announce SQUARE 9 to be held at Université du Québec >>>> à Montréal (UQAM), Montréal, Canada, June 22–26, 2026. >>>> This is the 9th edition of the World Congress on the Square of >>>> Opposition after very successful previous editions in Montreux, Switzerland >>>> 2007; Corte, Corsica 2010; Beirut, Lebanon 2012; Vatican, 2014; Easter >>>> Island, 2016; Crete, 2018; Leuven, Belgium 2022; San Jose, Costa Rica, >>>> 2024. >>>> >>>> SQUARE is a unique interdisciplinary event bringing together logicians, >>>> philosophers, mathematicians, semioticians, computer scientists, artists, >>>> to explore the many facets of the Square of Opposition and its modern >>>> developments. >>>> >>>> Topics include (but are not limited to): >>>> >>>> - Classical and non-classical squares >>>> - Logical geometry (hexagons, cubes, beyond) >>>> - Philosophical and historical perspectives >>>> - Applications in cognition, language, and AI >>>> - Interdisciplinary and creative approaches >>>> >>>> Submission deadline: May 1st, 2026 >>>> Format: One-page abstract >>>> >>>> More information and submission details: >>>> https://sites.google.com/view/square9-montreal-2026/ >>>> >>>> This time of year is one of the very best moments to be in Montréal. >>>> (A) On Wednesday, June 24, the city celebrates the Fête de la >>>> Saint-Jean-Baptiste, the national holiday of Québec. This public holiday >>>> will offer a pleasant break in the middle of our event, which begins on >>>> Monday, June 22. >>>> (B) Immediately afterwards, from June 25 to July 4, Montréal hosts its >>>> world-famous International Jazz Festival, one of the largest and most >>>> vibrant music festivals in the world. >>>> It is worth noting that the first edition of SQUARE took place in >>>> Montreux in 2007, where we organized a jazz performance inspired by the >>>> Square of Opposition: >>>> https://www.square-of-opposition.org/music.html >>>> Excerpts from this performance can be seen and heard in the DVD >>>> included with the proceedings volume: >>>> The Square of Opposition: A General Framework for Cognition >>>> >>>> https://www.amazon.com/Square-Opposition-General-Framework-Cognition/dp/3034305370 >>>> >>>> For more information about (A) and (B), please visit: >>>> https://sites.google.com/view/square9-montreal-2026/montr%C3%A9al >>>> >>>> Join us in the vibrant city of Montréal for a stimulating international >>>> meeting at the crossroads of logic, philosophy, mathematics and beyond! >>>> >>>> The Organizers >>>> Jean-Yves Beziau, Federal University of Rio de Janeiro (UFRJ), Brazil >>>> Serge Robert, University du Québec à Montréal (UQÀM), Canada >>>> >>>> >>>> _ _ _ _ _ _ _ _ _ _ >>>> ► PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY >>>> ON PEIRCE-L to this message. PEIRCE-L posts should go to >>>> [email protected] . >>>> ► <a href="mailto:[email protected]";>UNSUBSCRIBE FROM >>>> PEIRCE-L</a> . But, if your subscribed email account is not your default >>>> email account, then go to >>>> https://list.iu.edu/sympa/signoff/peirce-l . >>>> ► PEIRCE-L is owned by THE PEIRCE GROUP; moderated by Gary Richmond; >>>> and co-managed by him and Ben Udell. >>> >>> _ _ _ _ _ _ _ _ _ _ >>> ► PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON >>> PEIRCE-L to this message. PEIRCE-L posts should go to >>> [email protected] . >>> ► <a href="mailto:[email protected]";>UNSUBSCRIBE FROM >>> PEIRCE-L</a> . But, if your subscribed email account is not your default >>> email account, then go to >>> https://list.iu.edu/sympa/signoff/peirce-l . >>> ► PEIRCE-L is owned by THE PEIRCE GROUP; moderated by Gary Richmond; >>> and co-managed by him and Ben Udell. >> >>
_ _ _ _ _ _ _ _ _ _ ► PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to [email protected] . ► <a href="mailto:[email protected]";>UNSUBSCRIBE FROM PEIRCE-L</a> . But, if your subscribed email account is not your default email account, then go to https://list.iu.edu/sympa/signoff/peirce-l . ► PEIRCE-L is owned by THE PEIRCE GROUP; moderated by Gary Richmond; and co-managed by him and Ben Udell.
