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Charles Sanders Peirce - His "remarkable theorem" regarding triadic relations

This remarkable text is drawn from Joseph Brent, 
Charles Sanders Peirce: A Life 
Blomington and Indianapolis 1993
Page 331


"There are only three fundamental kinds of relations:
monadic, dyadic and triadic; ... 
by combining triads, all relations
greater than the number  three
can be generated; and ...
all those of a greater number than three
can be reduced to triads.
Since, in addition, 
triads cannot be reduced to dyads,
nor dyads to monads,
monads, dyads and triads
constitute the fundamental categories of relations.
At the same time, triads are made up of
dyads and monads,
and dyads of monads.
Hence, in logical order,
monads are first,
dyads second,
and triads third.,
which gives a second group of relations:
first, second, and third.
Hypostatic abstraction provides
a third group of relations:
firstness, secondness, and thirdness,
which contain first second and third,
which in turn contain monads, dyads, and triads.
Altogether, these elements constitute
the abstract,formal mathematical categories
and relations
that constitute the elements of thought."


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Stephen C. Rose Bio

Stephen C. Rose (1936-) was born in New York City and raised there. He currently lives there. He was educated at Trinity, Exeter, Williams and Union Theological Seminary. He served in the Student Interracial Ministry in Nashville. He founded and edited the prize-winning Renewal Magazine in Chicago and studied with C. A. Doxiadis in Athens. His first books "The Grass Roots Church" and "Who's Killing The Church" established him as a prominent critic of American Protestantism and American religion. He was and remains a civil rights activist. He has interviewed and done in depth pieces on Saul Alinsky and Martin Luther King, Jr. He won awards for editorial courage and for two documentary films. He has written and published many songs and musical works including "We Are All Americans". During the late 90s and early 2000s he worked for UN agencies, most recently editing CHOICES Magazine at UNDP. Since 2000 he has written several books for distribution via K…