# Category Archives: Nominalism

## Relation Theory • 1

Here’s an introduction to Relation Theory geared to applications and taking a moderately general view at least as far as finite numbers of relational domains are concerned (-adic or -ary relations). Relation Theory This article treats relations from the perspective … Continue reading

## Zeroth Law Of Semiotics • Discussion 1

Re: Zeroth Law Of Semiotics • Comment 2 Re: Laws of Form • John Mingers JM: Hmmm Sounds terribly like analytic philosophy to me. There are not real philosophical problems, it’s all just a matter of misuse of words. Have … Continue reading

## Relations & Their Relatives • Review 1

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

## Relations & Their Relatives • Comment 3

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

## Relations & Their Relatives • Comment 2

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

## Relations & Their Relatives • Comment 1

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

## Mathematical Method • Discussion 7

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

## Mathematical Method • Discussion 6

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

## Mathematical Method • Discussion 5

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

## Mathematical Method • Discussion 4

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