Mathematician:Charles Sanders Peirce

Mathematician

American chemist who contributed to the fields of logic and mathematical philosophy, in particular the theory of the use of signs.

Laid some of the groundwork for the mathematical discipline of category theory.

Developed in $1883$ the first comprehensive formal theory of relations.

Perceived in $1886$ that the functions of logic can be carried out by electronic circuitry.

Son of Benjamin Peirce.

Nationality

American

History

• Born: September 10, 1839, Cambridge, Massachusetts, USA
• Died: April 19, 1914, Milford, Pennsylvania, USA

Theorems

• Peirce's Law

• Probably the inventor of the term aliorelative.

Results named for Charles Sanders Peirce can be found here.

Publications

• 1878: Photometric Researches
• 1885: On the Algebra of Logic: A Contribution to the Philosophy of Notation (Amer. J. Math. Vol. 7: pp. 180 – 202)  www.jstor.org/stable/2369451
• 1886: Qualitative Logic
• 1886: The Logic of Relatives: Qualitative and Quantitative
• 1902: The Simplest Mathematics

Collected Works

• 1931: Collected Papers of Charles Sanders Peirce, vol. 1: Principles of Philosophy (edited by Charles Hartshorne and Paul Weiss)
• 1932: Collected Papers of Charles Sanders Peirce, vol. 2: Elements of Logic (edited by Charles Hartshorne and Paul Weiss)
• 1933: Collected Papers of Charles Sanders Peirce, vol. 3: Exact Logic (edited by Charles Hartshorne and Paul Weiss)
• 1934: Collected Papers of Charles Sanders Peirce, vol. 4: The Simplest Mathematics (edited by Charles Hartshorne and Paul Weiss)
• 1935: Collected Papers of Charles Sanders Peirce, vol. 5: Pragmatism and Pragmaticism (edited by Charles Hartshorne and Paul Weiss)
• 1936: Collected Papers of Charles Sanders Peirce, vol. 6: Scientific Metaphysics (edited by Charles Hartshorne and Paul Weiss)
• 1958: Collected Papers of Charles Sanders Peirce, vol. 7: Science and Philosophy (edited by Arthur W. Burks)
• 1958: Collected Papers of Charles Sanders Peirce, vol. 8: Reviews, Correspondence, and Bibliography (edited by Arthur W. Burks)

• 1976: The New Elements of Mathematics (edited by Carolyn Eisele):
  • Volume 1, Arithmetic
  • Volume 2, Algebra and Geometry
  • Volume 3.1, Mathematical Miscellanea
  • Volume 3.2, Mathematical Miscellanea
  • Volume 4, Mathematical Philosophy

• 1981+ : Writings of Charles S. Peirce : A Chronological Edition (Peirce Edition Project)

Also known as

Some sources erroneously present his surname as Pierce.

Sources

• John J. O'Connor and Edmund F. Robertson: "Charles Sanders Peirce": MacTutor History of Mathematics archive

• 1946: Alfred Tarski: Introduction to Logic and to the Methodology of Deductive Sciences (2nd ed.) ... (previous) ... (next): $\S 1.5$: The Importance of Variables in Mathematics (footnote)
• 1951: Willard Van Orman Quine: Mathematical Logic (revised ed.) ... (previous) ... (next): Introduction
• 1959: A.H. Basson and D.J. O'Connor: Introduction to Symbolic Logic (3rd ed.) ... (previous) ... (next): Chapter $\text I$ Introductory: $1$. Symbolic Logic and Classical Logic
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Peirce, Charles Sanders (1839-1914)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Peirce, Charles Sanders (1839-1914)