The core insight of Peirce’s conceptual system is the recognition that triadic relations are sui generis. Understanding the properties of triadic relations and the consequences of their irreducibility is critical to understanding Peirce’s thought and work. Every attempt to reconstruct Peirce’s system on a different basis must eventually fall like a house of cards.
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Say why.
Saying why would be a two-parter at least —
1. Why triadic relations are irreducible.
2. Why triadic relations are necessary to Peirce’s conceptual system.
No doubt some party of the third part is lurking in there somewhere …
After a day’s reflection, I guess the third part would have to be something like this —
3. Why Peirce’s conceptual system is necessary to understand the world.
That parses the question “Why” along the lines of a sign relation, where reality is part of an object domain O, Peirce’s conceptual system is part of a sign domain S, and our interpretation of his conceptual system is part of an interpretant domain I.
Approved …
Hi Robert, long time no see …
Hello Jon,
I am retired 10 years ago but I continue to follow the main subjects on which I worked in particular the thesis of reduction a proof of which I published within the framework of the category of the relational structures. However my English is always so bad!
No problem if you write in French, since the online translators work well enough on the reading side these days to keep a conversation going. I only embarrass myself if I try to use them for writing though.