Home Philosophy 57 Letters to Josiah Royce, 1903–1913
Chapter
Licensed
Unlicensed Requires Authentication

57 Letters to Josiah Royce, 1903–1913

  • Ahti-Veikko Pietarinen
Become an author with De Gruyter Brill
Correspondence
This chapter is in the book Correspondence

 

R L 385, Houghton Library; Harvard University Archives. This chapter compiles Charles S. Peirce’s correspondence with philosopher Josiah Royce, centering on their intense debate over Peirce’s proof that “two collections cannot each be greater than the other”—a cornerstone of his theory of infinite multitudes. The letters reveal Peirce’s rigorous defense against Royce’s critiques, demonstrating his commitment to logical precision and the ethics of scientific reasoning. Peirce dissects potential fallacies, appeals to diagrammatic insights (hinting at existential graphs), and insists on the limitations governing relational logic. Beyond technical disputes, the exchange touches on metaphysics, the foundations of mathematics, and Peirce’s struggles with institutional neglect. Royce’s resistance (see Introduction to this volume) reveals their philosophical tensions, whereas Peirce’s persistence illuminates his unyielding quest to establish logic as an exact science. These letters, which are marked by intellectual urgency and personal candidness, frame Peirce’s mature work on continuity, pragmaticism, and abduction.

 

R L 385, Houghton Library; Harvard University Archives. This chapter compiles Charles S. Peirce’s correspondence with philosopher Josiah Royce, centering on their intense debate over Peirce’s proof that “two collections cannot each be greater than the other”—a cornerstone of his theory of infinite multitudes. The letters reveal Peirce’s rigorous defense against Royce’s critiques, demonstrating his commitment to logical precision and the ethics of scientific reasoning. Peirce dissects potential fallacies, appeals to diagrammatic insights (hinting at existential graphs), and insists on the limitations governing relational logic. Beyond technical disputes, the exchange touches on metaphysics, the foundations of mathematics, and Peirce’s struggles with institutional neglect. Royce’s resistance (see Introduction to this volume) reveals their philosophical tensions, whereas Peirce’s persistence illuminates his unyielding quest to establish logic as an exact science. These letters, which are marked by intellectual urgency and personal candidness, frame Peirce’s mature work on continuity, pragmaticism, and abduction.

Downloaded on 30.12.2025 from https://www.degruyterbrill.com/document/doi/10.1515/9783110766325-008/html
Scroll to top button