Peirce’s Categories • 2

Re: Peirce ListJeffrey Brian DownardGary RichmondJohn Collier

According to Peirce, it is logic that draws on both mathematics and phenomenology.

At any rate, Peirce takes the distinctive position that normative science, which includes logic, “rests largely on” phenomenology and mathematics.  Unless there is a case to be made for a practical difference between drawing on and resting on, as those phrases are intended in the present setting, I would have to say they mean the same thing.

I discussed the relationship among these sciences in a previous post and drew the following figure to illustrate it.

Peirce Syllabus

Normative science rests largely on phenomenology and on mathematics;
metaphysics on phenomenology and on normative science.

— Charles Sanders Peirce, Collected Papers, CP 1.186 (1903)
Syllabus : Classification of Sciences (CP 1.180–202, G-1903-2b)

The following post contains a longer excerpt from Peirce’s Classification of the Sciences.

This entry was posted in Abstraction, C.S. Peirce, Category Theory, Dimensionality, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatism, Relation Theory, Semiotics, Triadic Relations, Type Theory and tagged , , , , , , , , , , , , , , . Bookmark the permalink.

6 Responses to Peirce’s Categories • 2

  1. Pingback: Survey of Precursors Of Category Theory • 1 | Inquiry Into Inquiry

  2. Rich says:

    Check out Bunge, Method, Model, and Matter (1973).  He defines systems science as ‘an exact and scientific metaphysics’.  Exact, being mathematically precise.  Scientific as applying to the sciences (e.g. Biology, Economics, etc.).  Metaphysics as above the sciences as a method.  In terms of a bubble diagram it would be:

    [Mathematics (exact)]       [Metaphysics (method)]
                         \     /
                    [Systems Science]
                         /     \
                [Biology]       [Economics] … [other sciences]
  3. Pingback: Peirce’s Categories • 4 | Inquiry Into Inquiry

  4. Pingback: ¿Shifting Paradigms? • 6 | Inquiry Into Inquiry

  5. Pingback: Survey of Precursors Of Category Theory • 1 | Inquiry Into Inquiry

  6. Pingback: Survey of Precursors Of Category Theory • 2 | Inquiry Into Inquiry

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.