(Continued from March 28, 2006, and February 6, 2012)

Paris—

Sylvia Beach and James Joyce at Shakespeare and Company

See also Walking into Eternity.

(Continued from March 28, 2006, and February 6, 2012)

Paris—

Sylvia Beach and James Joyce at Shakespeare and Company

See also Walking into Eternity.

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*Or: Starting Out in the Evening, continued from noon yesterday*

Yesterday evening's New York Lottery numbers were 510 and 5256.

For the former, see *post* 510, Music for Patricias.

For the latter, see Richard Feynman at the Caltech YMCA Lunch Forum on 5/2/56—

"The Relation of Science and Religion."

Some background….

**The Aleph**

"As is well known, the Aleph is the first letter of the Hebrew alphabet.

Its use for the strange sphere in my story may not be accidental.

For the Kabbala, the letter stands for the *En Soph *,

the pure and boundless godhead; it is also said that it takes

the shape of a man pointing to both heaven and earth…."

— Borges, "The Aleph," quoted in Ayn Sof (January 7th, 2011)

**The Y**

See "Pythagorean Letter" in this journal.

**Edenville**

"Hello! Kinch here. Put me on to Edenville. Aleph, alpha: nought, nought, one."

"A very short space of time through very short times of space…. Am I walking into eternity along Sandymount strand?"

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Date: Sun, 28 Aug 2005 12:30:40 -0400 From: Alf van der Poorten AM Subject: Vale George Szekeres and Esther Klein Szekeres Members of the Number Theory List will be sad to learn that George and Esther Szekeres both died this morning. George, 94, had been quite ill for the last 2-3 days, barely conscious, and died first at 06:30. Esther, 95, died a half hour later. Both George Szekeres and Esther Klein will be recalled by number theorists as members of the group of young Hungarian mathematicians of the 1930s including Turan and Erdos. George and Esther's coming to Australia in the late 40s played an important role in the invigoration of Australian Mathematics. George was also an expert in group theory and relativity; he was my PhD supervisor. Emeritus Professor |

Related material:

*AVE*

"Hello! Kinch here. Put me on to Edenville. Aleph, alpha: nought, nought, one."
"A very short space of time through very short times of space…. — James Joyce, Ulysses, Proteus chapter
— Peter Szekeres, abstract of Discrete Space-Time |

Peter Szekeres is the son of George and Esther Szekeres.

"At present, such relationships can at best be heuristically described in terms that invoke some notion of an 'intelligent user standing outside the system.'"

— Gian-Carlo Rota in *Indiscrete Thoughts*, p. 152

Comments Off on Monday August 29, 2005

Train of Thought

** Part I: The 24-Cell **

From S. H. Cullinane,

Visualizing GL(2,p),

March 26, 1985–

From John Baez, “This Week’s Finds in Mathematical Physics (Week 198),” September 6, 2003: Noam Elkies writes to John Baez:
The enrapturing discoveries of our field systematically conceal, like footprints erased in the sand, the analogical train of thought that is the authentic life of mathematics – Gian-Carlo Rota |

*Like footprints erased in the sand….*

* *

** **

* *

“Hello! Kinch here. Put me on to Edenville. Aleph, alpha: nought, nought, one.”

“A very short space of time through very short times of space….

Am I walking into eternity along Sandymount strand?”

— James Joyce, Ulysses, Proteus chapter

*A very short space of time through very short times of space….*

* * “It is demonstrated that space-time should possess a discrete structure on Planck scales.”

— Peter Szekeres, abstract of Discrete Space-Time

“A theory…. predicts that space and time are indeed made of discrete pieces.”

— Lee Smolin in Atoms of Space and Time (pdf), Scientific American, Jan. 2004

“… a fundamental discreteness of spacetime seems to be a prediction of the theory….”

— Thomas Thiemann, abstract of Introduction to Modern Canonical Quantum General Relativity

“Theories of discrete space-time structure are being studied from a variety of perspectives.”

— Quantum Gravity and the Foundations of Quantum Mechanics at Imperial College, London

** ** The above speculations by physicists

are offered as curiosities.

I have no idea whether

any of them are correct.

Related material:

Stephen Wolfram offers a brief

History of Discrete Space.

For a discussion of space as discrete

by a non-physicist, see John Bigelow‘s

Space and Timaeus.

in a Discrete Space

Apart from any considerations of

physics, there are of course many

purely mathematical discrete spaces.

See Visible Mathematics, continued

(Aug. 4, 2005):

physics, there are of course many

purely mathematical discrete spaces.

See Visible Mathematics, continued

(Aug. 4, 2005):

Comments Off on Thursday August 25, 2005

Ineluctable

On the poetry of Geoffrey Hill:

"… why read him? Because of the things he writes about—war and peace and sacrifice, and the search for meaning and the truths of the heart, and for that haunting sense that, in spite of war and terror and the indifferences that make up our daily hells, there really is some grander reality, some ineluctable presence we keep touching. There remains in Hill the daunting possibility that it may actually all cohere in the end, or at least enough of it to keep us searching for more.

There is a hard edge to Hill, a strong Calvinist streak in him, and an intelligence that reminds one of Milton….."

— Paul Mariani, review in America of Geoffrey Hill's The Orchards of Syon

"Hello! Kinch here. Put me on to Edenville. Aleph, alpha: nought, nought, one."

"A very short space of time through very short times of space…. Am I walking into eternity along Sandymount strand?"

— James Joyce, Ulysses, Proteus chapter

"Time has been unfolded into space."

"Pattern and symmetry are closely related."

— James O. Coplien on Symmetry Breaking

"… as the critic S. L. Goldberg puts it, 'the chapter explores the Protean transformations of matter in time . . . apprehensible only in the condition of flux . . . as object . . . and Stephen himself, as subject. In the one aspect Stephen is seeking the principles of change and the underlying substance of sensory experience; in the other, he is seeking his self among its temporal manifestations'….

— Goldberg, S.L. 'Homer and the Nightmare of History.' Modern Critical Views: James Joyce. Ed. Harold Bloom. New York: Chelsea House, 1986. 21-38."

— from the Choate site of David M. Loeb

In summary:

Joyce |

(By the way, Jorn Barger seems

to have emerged from seclusion.)

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