This site is supported by donations to The OEIS Foundation.

# Logic of relatives

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 1870 paper “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic”.

## 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,*Chronological Edition*CE 2, 359–429.

- Peirce's 1870 Logic of Relatives • Overview • Part 1 • Part 2 • Part 3 • References

## Bibliography

- Aristotle, “The Categories”, Harold P. Cooke (trans.), pp. 1–109 in
*Aristotle, Volume 1*, Loeb Classical Library, William Heinemann, London, UK, 1938.

- Aristotle, “On Interpretation”, Harold P. Cooke (trans.), pp. 111–179 in
*Aristotle, Volume 1*, Loeb Classical Library, William Heinemann, London, UK, 1938.

- Aristotle, “Prior Analytics”, Hugh Tredennick (trans.), pp. 181–531 in
*Aristotle, Volume 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 Publishers, 1854. Reprinted with corrections, Dover Publications, New York, NY, 1958.

- Maddux, Roger D.,
*Relation Algebras*, vol. 150 in ‘Studies in Logic and the Foundations of Mathematics’, Elsevier Science, 2006.

- 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.

## Resources

## Document history

Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.