No Comment, Quotation — June 14, 2008, 8:42 am

Plato’s Dialectic of Numbers

jordaens-prometheus

???? ??? ??? ????????? ?????, ?? ?? ???????????? ????, ????? ?? ???? ?????? ??? ????? ????????? ??? ???????? ???? ????: ??? ?? ??? ???????, ?????????? ???? ??? ???????? ???? ?????????, ?????? ????? ?????????, ?? ?? ???? ??? ??? ?????? ????? ??? ??? ????????? ?????, ????? ?? ??? ???????? ?? ?????? ???????? ???????. ???? ??? ???? ?????? ???? ??????????????? ??? ???? ????? ???? ?????? ???????? ???????? ??????–???????? ??? ???????– ??? ??? ???????????, ???? ???? ???, ?? ??? ????, ???????, ?? ?? ??, ????? ? ???? ????? ???????, ??? ??? ?? ??????? ??????? ????? ???????, ???????? ?? ?? ???’ ????? ?? ?? ??? ?? ??? ????? ??? ?????? ???? ????? ??? ???, ???? ??? ?????: ??? ?? ??? ??????? ????? ???? ?? ?????? ?? ?????????? ???? ?? ??? ??? ??????? ????? ????? ?????? ??? ?????? ??? ??????? ?? ??? ??? ????, ???? ?’ ??? ?? ?? ??????? ??? ?????? ??? ?? ??????? ??????? ??????? ???. ?? ??? ??? ????, ???? ?????, ????? ???? ????????? ??????? ??? ????????? ??? ????????? ????????: ?? ?? ??? ??? ???????? ????? ?? ???, ???? ?? ??????, ??? ????? ?????? ??? ?????????? ??????? ??? ???????, ???? ?? ?? ?? ?????? ?????, ?? ?? ???? ?????? ????????–??? ????????????? ?? ?? ??????????? ????? ??? ?? ????????? ???? ????????? ???? ???????? ???? ??????.

A gift of gods to men, as I believe, was tossed down from some divine source through the agency of a Prometheus together with a gleaming fire; and the ancients, who were better than we and lived nearer the gods, handed down the tradition that all the things which are ever said to exist are sprung from one and many and have inherent in them the finite and the infinite. This being the way in which these things are arranged, we must always assume that there is in every case one idea of everything and must look for it–for we shall find that it is there–and if we get a grasp of this, we must look next for two, if there be two, and if not, for three or some other number; and again we must treat each of those units in the same way, until we can see not only that the original unit is one and many and infinite, but just how many it is. And we must not apply the idea of infinite to plurality until we have a view of its whole number between infinity and one; then, and not before, we may let each unit of everything pass on unhindered into infinity. The gods, then, as I said, handed down to us this mode of investigating, learning, and teaching one another; but the wise men of the present day make the one and the many too quickly or too slowly, in haphazard fashion, and they put infinity immediately after unity; they disregard all that lies between them, and this it is which distinguishes between the dialectic and the disputatious methods of discussion.

Plato (??????), Philebus (???????) 16c-17a (ca. 350 BCE)(J. Burnet transl. 1903)

Share
Single Page

More from Scott Horton:

No Comment April 12, 2013, 11:11 am

A Final Act for the Guantánamo Theater of the Absurd?

A new report from Seton Hall University exposes government surveillance of attorney-client conversations

No Comment, Six Questions March 18, 2013, 9:00 am

Brokers of Deceit: How the U.S. Has Undermined Peace in the Middle East

Rashid Khalidi on how the United States sustains the failure of the Israel-Palestine peace process

No Comment, Six Questions February 4, 2013, 9:00 am

Mea Maxima Culpa: Silence in the House of God

Alex Gibney on his documentary investigating the Roman Catholic Church’s handling of child sex-abuse cases

Get access to 163 years of
Harper’s for only $19.97

United States Canada

CATEGORIES

THE CURRENT ISSUE

July 2013

Glaciers for Sale

= Subscribers only.
Sign in here.
Subscribe here.

Blood Spore

= Subscribers only.
Sign in here.
Subscribe here.

Other Types of Poison

= Subscribers only.
Sign in here.
Subscribe here.

May I Touch Your Hair?

= Subscribers only.
Sign in here.
Subscribe here.

view Table Content

FEATURED ON HARPERS.ORG

[Editor's Note]
A global-warming get-rich-quick scheme, a magic-mushroom murder,
and more
[Report]
Glaciers for Sale

= Subscribers only.
Sign in here.
Subscribe here.

“Water is the medium of climate change — the ice that melts, the seas that rise. It is also an early indicator of how humanity may respond to climate change: by financializing it.”
Photograph (detail) by Aaron Huey
[Personal and Otherwise]
Photograph With Shirley

= Subscribers only.
Sign in here.
Subscribe here.

The author writes about the inspiration for “May I Touch Your Hair?,” in the July issue
“When you look at Shirley’s face, and what’s going on — that’s why they’d rather see a photograph than read.”
Photograph by Philip Shan
[Harper's Finest]
What the Young Man Should Know

= Subscribers only.
Sign in here.
Subscribe here.

From the March 1933 issue
“I submit that he who cannot do these things is not completely educated.”
Illustration by Elizabeth Shippen Green (1902)
[Folio]
Blood Spore

= Subscribers only.
Sign in here.
Subscribe here.

“The strange timing of Pollock’s murder begot paranoia of all shades and textures . . .”
Photograph by Paul Stamets

Percentage by which the risk of type 2 diabetes increases for every two hours a day that a person watches television:

20

Two bottled ghosts—of an old man and a young girl—were sold at auction in New Zealand.

The practice of sexualized eyeball licking was causing conjunctivitis in Japanese sixth graders.

Subscribe to the Weekly Review newsletter. Don’t worry, we won’t sell your email address!

HARPER’S FINEST

The Coming Ice Age

By

A true scientific detective story
Subscribe Today