Category Archives: Abstraction

Peirce’s Categories • 17

I’ve been too immersed in the Peirce List discussion of Robert Marty’s “Podium” paper to write much here — before I lose track of what I’ve been thinking the last several days I’ll need to ravel up my off-the-cuff remarks … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 6 Comments

Peirce’s Categories • 16

Re: Peirce’s Categories • 15 Re: Robert Marty • The Podium of the Universal Categories of C.S. Peirce A feature of particular interest to me in Robert Marty’s paper is the resonance he finds between category theory, as it’s known in … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Mathematics, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Universals | Tagged , , , , , , , , , , , , | 9 Comments

Peirce’s Categories • 15

Re: Peirce List • Robert Marty RM: I submit for your review this preprint which is awaiting publication: The Podium of the Universal Categories of C.S. Peirce Abstract This article organizes Peirce’s universal categories and their degenerate forms from their presupposition … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 13 Comments

Peirce’s Categories • 14

Re: Peirce List • Robert Marty RM: What do you think of the presuppositions between the levels? Do they make sense to you? At this point I have mostly questions, which would take further research to answer, not to mention … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 7 Comments

Peirce’s Categories • 13

Re: Peirce List • Robert Marty With a few choice exceptions I have always found Peirce’s earlier writings on categories, relations, and semiotics to be more clear, exact, and fruitful in practice than his last attempts to explain himself without … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 7 Comments

Peirce’s Categories • 12

Re: Peirce List • JFS • JBD Different minds are drawn to Peirce for different reasons and they tend to discover different stores of value there.  I was attracted to his work largely for his insights into logic, math, and … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 7 Comments

Peirce’s Categories • 11

Re: Peirce List • Helmut Raulien There is a kind of “second cousin” kinship between category markers and grammatical aspects, moods, or tenses.  In several drafts of an earlier comment I experimented with grammatical terms like conjugation, declension, diacritic, inflection, … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 8 Comments

Peirce’s Categories • 10

Re: Cybernetics • Bernard Cohen I began that note on the Precursors of Category Theory as a purely exploratory sketch, plotting a few points on a single theme with no plans of making an exhaustive survey.  Even at that I … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 8 Comments

Peirce’s Categories • 9

Re: FB | Systems Sciences • Kenneth Lloyd Scanning the spectrum of sources I sampled in my Precursors of Category Theory, there are many differences in the categorical paradigms different observers developed over the centuries.  Just for starters, the numbers … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 9 Comments

Peirce’s Categories • 8

Re: Peirce Society Facebook Page • Ricardo Bibi Tamtam Durski The best way to get clear about Peirce’s categories is to look to their origin in Aristotle’s concept of a category, in effect nothing more mysterious than a grammatical device … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 8 Comments