# Abstract

The logic of relatives, more precisely, the logic of relative terms, is the study of relations as represented in symbolic forms known as “rhemes”, “rhemata”, or “relative terms”.

## Introduction

The **logic of relatives**, more precisely, the **logic of relative terms**, is the study of relations as represented in symbolic forms known as *rhemes*, *rhemata*, or *relative terms*. The treatment of relations by way of their corresponding relative terms affords a distinctive perspective on the subject, even though all angles of approach must ultimately converge on the same formal subject matter.

The consideration of *relative terms* has its roots in antiquity, but it entered a radically new phase of development with the work of Charles Sanders Peirce, beginning with his paper “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole’s Calculus of Logic” (1870).

## References

- Peirce, C.S., “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole’s Calculus of Logic”,
*Memoirs of the American Academy of Arts and Sciences*9, 317–378, 1870. Reprinted,*Collected Papers*CP 3.45–149. Reprinted,*Chronological Edition*CE 2, 359–429.

## Readings

- Aristotle, “The Categories”, Harold P. Cooke (trans.), pp. 1–109 in
*Aristotle, Vol. 1*, Loeb Classical Library, William Heinemann, London, UK, 1938. - Aristotle, “On Interpretation”, Harold P. Cooke (trans.), pp. 111–179 in
*Aristotle, Vol. 1*, Loeb Classical Library, William Heinemann, London, UK, 1938. - Aristotle, “Prior Analytics”, Hugh Tredennick (trans.), pp. 181–531 in
*Aristotle, Vol. 1*, Loeb Classical Library, William Heinemann, London, UK, 1938. - Boole, George,
*An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities*, Macmillan, 1854. Reprinted with corrections, Dover Publications, New York, NY, 1958. - Peirce, C.S.,
*Collected Papers of Charles Sanders Peirce*, Vols. 1–6, Charles Hartshorne and Paul Weiss (eds.), Vols. 7–8, Arthur W. Burks (ed.), Harvard University Press, Cambridge, MA, 1931–1935, 1958. Cited as CP volume.paragraph. - Peirce, C.S.,
*Writings of Charles S. Peirce : A Chronological Edition, Volume 2, 1867–1871*, Peirce Edition Project (eds.), Indiana University Press, Bloomington, IN, 1984. Cited as CE 2.