Wednesday, February 17, 2021

Die Einheit  Revisited

Filed under: General — Tags: — m759 @ 1:06 PM

Eins und Einheit

Filed under: General — Tags: — m759 @ 12:14 PM

“The number one , then, has become Husserl’s touchstone
for discriminating between psychological processes and
logical laws. It is his reality detector. What is
psychological (or empirical) comes on in discrete
individual instances– ones– and you can examine their
edges. What is logical (or ideal) comes on as a
seamless oceanic unity  without temporal edges….”

— Marianne Sawicki, “Edmund Husserl (1859—1938),”
    Internet Encyclopedia of Philosophy

See also Roman Numeral  in this  journal.

Friday, May 8, 2020

Die Einheit

Filed under: General — Tags: — m759 @ 11:35 AM

E ”  is for “Einheit.

See also “The Unity.”

Wednesday, August 25, 2021

Space Symbol

Filed under: General — Tags: , — m759 @ 12:28 PM

I prefer Kirsch's "Space Babel" (Tablet , Dec. 4, 2020).

An image we may regard as illustrating 
the group-identity symbol "e" for "Einheit"

Some context:

Tuesday, December 29, 2020

Raiders of the Lost Coordinates

Filed under: General — Tags: , — m759 @ 2:06 PM

Variations on the title theme —

Novus Ordo Seclorum — Harold Bloom and the Tetrahedral Model of PG(3,2)

Thursday, May 28, 2020

Unity Game

Filed under: General — Tags: , , — m759 @ 11:59 PM

“Old men ought to be explorers.” — T. S. Eliot

“Everybody’s lost but me!” — Young Indiana Jones, quoted
in a book review (“Knox Peden on Martin Hägglund”) in
Sydney Review of Books  on May 26 . . .

” Here I am reminded of the words of
the young Indiana Jones alone in the desert,
decades before the Last Crusade:
‘Everybody’s lost but me.’ “

 Related remarks — Now You See It, Now You Don’t.

Finite Geometry at GitHub

Filed under: General — Tags: , , — m759 @ 5:04 PM

My website on finite geometry is now available
on GitHub at http://m759.github.io/ . The part
of greatest interest to coders is also at
https://repl.it/@m759/View-4x4x4#index.html .

Thursday, May 7, 2020

Now You See It, Now You Don’t

Filed under: General — Tags: , , — m759 @ 11:00 PM

“Mathematics may be art, but to the general public it is
a black art, more akin to magic and mystery. This presents
a constant challenge to the mathematical community: to explain
how art fits into our subject and what we mean by beauty.”

— Sir Michael Atiyah, quoted here on April 4, 2016


Illustrations, from the American Mathematical Society Spring
2020 book sale, of a book scheduled to be published May 28.

Saturday, January 11, 2020

Mathematical Theology (“Art School Confidential” continues.)

Filed under: General — Tags: , , — m759 @ 7:07 PM

Detail of artwork by Josefine Lyche, 2010

Related academic remarks:

Thursday, September 26, 2019


Filed under: General — Tags: , — m759 @ 8:53 AM

Related story:

E is for Einheit

Thursday, January 24, 2013

Object Lesson

Filed under: General — Tags: , — m759 @ 7:59 PM

Suggested by yesterday's Garden Path

Commentary by Trish Mayo on a photo at Flickr:

Gazing Globe

These beautiful garden ornaments have a long history, beginning in the 13th century when they were made in Venice, Italy of hand-blown glass. They have been called by many names: Gazing Globe, Garden Globe, Witch Ball, Butler Globe and Globe of Happiness.

Legends formed about the mysterious powers of the globes. They were said to bring happiness, good luck and prosperity to those who owned it, known to ward off evil spirits, misfortune, illness and witches!

Some say the ball should be placed near the entrance to a house so that if a witch came by she would not be able to get past her reflection as she cannot tear herself away from her own image. Other accounts say a witch cannot bear to see her own reflection so she will not come near a "witch’s ball". A witch cannot sneak up on a person gazing into a globe as he can see if a witch approaches from behind. The smaller ball made of colored glass as opposed to the reflective kind was believed to attract and trap evil spirits.

Spiritually speaking, as one peers into the globe he can experience "oneness" with the universe.

The gazing globes practical purposes included being strategically placed on a path near the front entrance so that you could see when someone was coming for a visit. In Victorian times, the "Butler Ball" served as a mirror for servants to see when guests were needing assistance without staring at them throughout the meal. Another practical use was in the foyer of the home. Parents could keep a close eye on their daughter and her date as he bid her goodnight.

Today the globe is used ornamentally, allowing the whole garden, including the sky, to be viewed with one glance.

Friday, November 25, 2011

Innermost Kernel

Filed under: General — Tags: — m759 @ 5:01 AM

Thomas Mann on an innermost kernel


"Denn um zu wiederholen, was ich anfangs sagte:
in dem Geheimnis der Einheit von Ich und Welt,
Sein und Geschehen, in der Durchschauung des
scheinbar Objectiven und Akzidentellen als
Veranstaltung der Seele glaube ich den innersten Kern
der analytischen Lehre zu erkennen." (GW IX 488)

See also previous quotations here of the phrase "innermost kernel."

Sunday, March 14, 2004

Sunday March 14, 2004

Filed under: General,Geometry — m759 @ 3:28 PM

Clarity and Certainty

“At the age of 12 I experienced a second wonder of a totally different nature: in a little book* dealing with Euclidean plane geometry, which came into my hands at the beginning of a schoolyear. Here were assertions, as for example the intersection of the three altitudes of a triangle in one point, which — though by no means evident — could nevertheless be proved with such certainty that any doubt appeared to be out of the question. This lucidity and certainty [Klarheit und Sicherheit] made an indescribable impression upon me….  For example I remember that an uncle told me the Pythagorean theorem before the holy geometry booklet* had come into my hands. After much effort I succeeded in ‘proving’ this theorem on the basis of the similarity of triangles … for anyone who experiences [these feelings] for the first time, it is marvellous enough that man is capable at all to reach such a degree of certainty and purity [Sicherheit und Reinheit] in pure thinking as the Greeks showed us for the first time to be possible in geometry.”

— from “Autobiographical Notes” in Albert Einstein: Philosopher-Scientist, edited by Paul Arthur Schilpp

“Although our intellect always longs for clarity and certainty, our nature often finds uncertainty fascinating.”

— Carl von Clausewitz at Quotes by Clausewitz

For clarity and certainty, consult All About Altitudes (and be sure to click the “pop it up” button).

For murkiness and uncertainty, consult The Fog of War.

Happy birthday, Albert.

* Einstein’s “holy geometry booklet” was, according to Banesh Hoffman, Lehrbuch der Geometrie zum Gebrauch an höheren Lehranstalten, by Eduard Heis (Catholic astronomer and textbook writer) and Thomas Joseph Eschweiler.

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