Re: Peter Cameron • Infinity and Foundation

C.S. Peirce is one who recognized the constitutional independence of mathematical inquiry, finding at its core a mode of operation tantamount to observation and more primitive than logic itself.  Here is one place where he expressed that idea.

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)

Further Discussion

• Definition and Determination • 4
• C.S. Peirce • Logic of Number
• Peirce’s Categories • (2) • (3)
• Pragmatic Truth • Discussion 8
• Shifting Paradigms • 5
• Pragmatic Traction • 6