Tag Archives: Realism

Relations & Their Relatives • Review 1

Posted on August 15, 2021 by Jon Awbrey

Peirce’s notation for elementary relatives was illustrated earlier by a dyadic relation from number theory, namely for being a divisor of Cf: Relations & Their Relatives • 3 Table 1 shows the first few ordered pairs of the relation on positive … Continue reading →

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 8 Comments

Relations & Their Relatives • Comment 3

Posted on August 6, 2021 by Jon Awbrey

Here’s a couple of selections from Peirce’s 1870 Logic of Relatives bearing on the proper use of individuals in mathematics, and thus on the choice between nominal thinking and real thinking. 😸 Mathematical Demonstration & the Doctrine of Individuals • … Continue reading →

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 7 Comments

Relations & Their Relatives • Comment 2

Posted on August 5, 2021 by Jon Awbrey

Before I forget how I got myself into this particular briar patch — I mean the immediate occasion, not the long ago straying from the beaten path — it was largely in discussions with Henry Story where he speaks of … Continue reading →

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 7 Comments

Relations & Their Relatives • Comment 1

Posted on August 2, 2021 by Jon Awbrey

I opened a topic on Relation Theory in the Logic stream of Category Theory Zulipchat to discuss the logic of relative terms and the mathematics of relations as they develop from Peirce’s first breakthroughs (1865–1870).  As I have mentioned on … Continue reading →

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 7 Comments

Mathematical Method • Discussion 7

Posted on August 15, 2020 by Jon Awbrey

Re: Ontolog Forum • Alex Shkotin Dear Alex, You raised the following point: AS: One important usage of a sign is as an element of a language, especially a formal one, i.e. with a formal grammar. For context you cited … Continue reading →

Posted in Abstraction, C.S. Peirce, Essentialism, Hypostatic Abstraction, Logic, Mathematics, Metaphysics, Method, Nominalism, Ockham, Ockham's Razor, Peirce, Pragmatic Maxim, Pragmatism, Realism, Semiotics, Theory | Tagged , , , , , , , , , , , , , , , , | Leave a comment

Mathematical Method • Discussion 6

Posted on August 13, 2020 by Jon Awbrey

Re: Ontolog Forum • Alex Shkotin Dear Alex, Thanks for the very apt segue from Jon Barwise — Modern mathematics might be described as the science of abstract objects, be they real numbers, functions, surfaces, algebraic structures or whatever.  Mathematical … Continue reading →

Posted in Abstraction, C.S. Peirce, Essentialism, Hypostatic Abstraction, Logic, Mathematics, Metaphysics, Method, Nominalism, Ockham, Ockham's Razor, Peirce, Pragmatic Maxim, Pragmatism, Realism, Semiotics, Theory | Tagged , , , , , , , , , , , , , , , , | Leave a comment

Mathematical Method • Discussion 5

Posted on August 10, 2020 by Jon Awbrey

Re: Ontolog Forum • Paul Tyson Dear Paul, “How We Think” is a topic for the descriptive science of psychology, and its ways are legion beyond definitive or exhaustive description. “How We Ought To Think” if we wish to succeed … Continue reading →

Posted in Abstraction, C.S. Peirce, Essentialism, Hypostatic Abstraction, Logic, Mathematics, Metaphysics, Method, Nominalism, Ockham, Ockham's Razor, Peirce, Pragmatic Maxim, Pragmatism, Realism, Semiotics, Theory | Tagged , , , , , , , , , , , , , , , , | Leave a comment

Mathematical Method • Discussion 4

Posted on August 8, 2020 by Jon Awbrey

Re: Peirce List • Helmut Raulien Dear Helmut, It’s one of the occupational hazards of the classifying mind that one can start out consciously characterizing aspects of real situations and end up unwittingly thinking one’s gotten everything under the sun sorted … Continue reading →

Posted in Abstraction, C.S. Peirce, Essentialism, Hypostatic Abstraction, Logic, Mathematics, Metaphysics, Method, Nominalism, Ockham, Ockham's Razor, Peirce, Pragmatic Maxim, Pragmatism, Realism, Semiotics, Theory | Tagged , , , , , , , , , , , , , , , , | Leave a comment

Mathematical Method • Discussion 3

Posted on August 7, 2020 by Jon Awbrey

Re: Peirce List • Gary Fuhrman Dear Gary, Auke van Breemen wrote: AvB: It seems to come down to:  never consider the textual production of a scientist only in itself, but also look at the reality the text tries to … Continue reading →

Posted in Abstraction, C.S. Peirce, Essentialism, Hypostatic Abstraction, Logic, Mathematics, Metaphysics, Method, Nominalism, Ockham, Ockham's Razor, Peirce, Pragmatic Maxim, Pragmatism, Realism, Semiotics, Theory | Tagged , , , , , , , , , , , , , , , , | Leave a comment

Mathematical Method • Discussion 2

Posted on August 5, 2020 by Jon Awbrey

Re: Peirce List • Auke van Breemen AvB: It seems to come down to:  never consider the textual production of a scientist only in itself, but also look at the reality the text tries to explain. Dear Auke, Exactly! We … Continue reading →

Posted in Abstraction, C.S. Peirce, Essentialism, Hypostatic Abstraction, Logic, Mathematics, Metaphysics, Method, Nominalism, Ockham, Ockham's Razor, Peirce, Pragmatic Maxim, Pragmatism, Realism, Semiotics, Theory | Tagged , , , , , , , , , , , , , , , , | 2 Comments