Compare and contrast with —
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Related material: Bochner and Carnegie-Mellon.
Alfred Bester fans may also enjoy more
damned confusion from Dan Brown —
(Not to be confused with Gully Foyle .)
Compare and contrast with —
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Related material: Bochner and Carnegie-Mellon.
Alfred Bester fans may also enjoy more
damned confusion from Dan Brown —
(Not to be confused with Gully Foyle .)
George Clooney to Matt Damon —
“There’s a Michelangelo joke to be made.”
A search in this journal for Michelangelo suggests . . .
How about “Bach meets Bochner“?
"Here, Bochner plays with these elements with the philosophical levity that made Conceptual art (which art historians see Bochner as one of the kingpins) so refreshing, graceful, and funny, especially after a generation of painters made artmaking seem so serious, heavy, emotional." —ArtSlant.com
See also The Wikipedia Meno and Bochner in this journal.
Today's online New York Times on the conclusion of the Roman Catholic Church's "World Youth" week—
"At the end of Sunday’s Mass, the pope announced that the next such event would be in Rio de Janeiro in 2013. Until then, he told those at the service, in Portuguese, that they 'will be swimming against the tide in a society with a relativistic culture, which wishes neither to seek nor hold on to the truth.'*"
* Fact check— This agrees with the Vatican Radio version.
Related material: Relativity Blues and Portal to 1937…
The "Portal" link above is in honor of the May 2 dies natalis of Salomon Bochner (pdf).
For some background, see yesterday's Castles in the Air and Bochner in this journal.
"… the Jews have discovered a way to access a fourth spatial dimension."
— Clifford Pickover, description of his novel Jews in Hyperspace
"If you have built castles in the air, your work need not be lost;
that is where they should be. Now put the foundations under them.”
— Henry David Thoreau
"King Solomon's Mines," 1937—
The image above is an illustration from "Romancing the Hyperspace," May 4, 2010.
Happy birthday to the late Salomon Bochner.
“Orthodox Jews are disappearing from Jerusalem. One moment they are praying at the Western Wall, and in the blink of an eye, they seem to evaporate…. In order to build the Third Temple while being respectful of the Islamic structures on the Temple Mount, the Jews have discovered a way to access a fourth spatial dimension. They will build the Third Temple invisibly ‘above’ the Temple Mount and ‘above’ the Mosque in the direction of the fourth dimension.”
— Clifford Pickover, description of his novel Jews in Hyperspace
“If you have built castles in the air, your work need not be lost; that is where they should be. Now put the foundations under them.”
— Henry David Thoreau, conclusion of Walden
Related material: Log24 entries, morning and evening of June 11, 2009, “Text” (June 22, 2009), and Salomon Bochner‘s remarks on space in “Eight is a Gate” (Feb. 26, 2008).
Related material:
Frame Tales, as well as
The Sacred Day of Kali,
this morning's
New York Times obituaries,
and
Mental Health Month, 2003:
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Geometry for Jews
(continued from Michelangelo’s birthday, 2003)
“Discuss the geometry underlying the above picture.”
Abstraction and the Holocaust (Mark Godfrey, Yale University Press, 2007) describes one approach to such a discussion: Bochner “took a photograph of a new arrangement of blocks, cut it up, reprinted it as a negative, and arranged the four corners in every possible configuration using the serial principles of rotation and reversal to make Sixteen Isomorphs (Negative) of 1967, which he later illustrated alongside works by Donald Judd, Sol LeWitt and Eva Hesse in his Artforum article ‘The Serial Attitude.’ [December 1967, pp. 28-33]” Bochner’s picture of “every possible configuration”–
Compare with the 24 figures in Frame Tales
(Log24, Nov. 10, 2008) and in Theme and Variations.
Eight is a Gate (continued)
Tom Stoppard, Jumpers:
"Heaven, how can I believe in Heaven?" she sings at the finale. "Just a lying rhyme for seven!"
"To begin at the beginning: Is God?…" [very long pause]
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From "Space," by Salomon Bochner
Makom. Our term “space” derives from the Latin, and is thus relatively late. The nearest to it among earlier terms in the West are the Hebrew makom and the Greek topos (τόπος). The literal meaning of these two terms is the same, namely “place,” and even the scope of connotations is virtually the same (Theol. Wörterbuch…, 1966). Either term denotes: area, region, province; the room occupied by a person or an object, or by a community of persons or arrangements of objects. But by first occurrences in extant sources, makom seems to be the earlier term and concept. Apparently, topos is attested for the first time in the early fifth century B.C., in plays of Aeschylus and fragments of Parmenides, and its meaning there is a rather literal one, even in Parmenides. Now, the Hebrew book Job is more or less contemporary with these Greek sources, but in chapter 16:18 occurs in a rather figurative sense:
Late antiquity was already debating whether this makom is meant to be a “hiding place” or a “resting place” (Dhorme, p. 217), and there have even been suggestions that it might have the logical meaning of “occasion,” “opportunity.” Long before it appears in Job, makom occurs in the very first chapter of Genesis, in:
This biblical account is more or less contemporary with Hesiod's Theogony, but the makom of the biblical account has a cosmological nuance as no corresponding term in Hesiod. Elsewhere in Genesis (for instance, 22:3; 28:11; 28:19), makom usually refers to a place of cultic significance, where God might be worshipped, eventually if not immediately. Similarly, in the Arabic language, which however has been a written one only since the seventh century A.D., the term makām designates the place of a saint or of a holy tomb (Jammer, p. 27). In post-biblical Hebrew and Aramaic, in the first centuries A.D., makom became a theological synonym for God, as expressed in the Talmudic sayings: “He is the place of His world,” and “His world is His place” (Jammer, p. 26). Pagan Hellenism of the same era did not identify God with place, not noticeably so; except that the One (τὸ ἕν) of Plotinus (third century A.D.) was conceived as something very comprehensive (see for instance J. M. Rist, pp. 21-27) and thus may have been intended to subsume God and place, among other concepts. In the much older One of Parmenides (early fifth century B.C.), from which the Plotinian One ultimately descended, the theological aspect was only faintly discernible. But the spatial aspect was clearly visible, even emphasized (Diels, frag. 8, lines 42-49). BIBLIOGRAPHY Paul Dhorme, Le livre de Job (Paris, 1926). H. Diels and W. Kranz, Die Fragmente der Vorsokratiker, 6th ed. (Berlin, 1938). Max Jammer, Concepts of Space… (Cambridge, Mass., 1954). J. M. Rist, Plotinus: The Road to Reality (Cambridge, 1967). Theologisches Wörterbuch zum Neuen Testament (1966), 8, 187-208, esp. 199ff.
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Related material: In the previous entry — "Father Clark seizes at one place (page eight)
upon the fact that…."
Father Clark's reviewer (previous entry) called a remark by Father Clark "far fetched."
This use of "place" by the reviewer is, one might say, "near fetched."
To Serve Man
Starring
Sir Anthony Hopkins
as Smithers
(See previous entry.)
In memory of Lloyd Bochner,
who died on Oct. 29, 2005:
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