Difference between revisions of "ATD 588-614"
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"The young statistician [Mexico] is devoted to number and to method, not table-rapping or wishful thinking. But in the domain of zero to one, not-something to something, Pointsman can only possess the zero and the one. He cannot, like Mexico, survive anyplace in between. Like his master I. P. Pavlov before him, he imagines the cortex of the brain as a mosaic of tiny on/off elements.... But to Mexico belongs the domain ''between'' zero and one." [Page 55] | "The young statistician [Mexico] is devoted to number and to method, not table-rapping or wishful thinking. But in the domain of zero to one, not-something to something, Pointsman can only possess the zero and the one. He cannot, like Mexico, survive anyplace in between. Like his master I. P. Pavlov before him, he imagines the cortex of the brain as a mosaic of tiny on/off elements.... But to Mexico belongs the domain ''between'' zero and one." [Page 55] | ||
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+ | It should be noted, however, that the continuous number line was a modern innovation. In Greek number theory, a number is a collection of indivisible units. Irrationals, such as the square root of 2 are not numbers but "magnitudes." One is not even a number for it is not a number of units. There are no negative numbers as well. (see Klein's <i>Greek Mathematical Thought and the Origin of Algebra.</i>) So Kronecker's position may be less of a crazy innovation as much as a maintenance of ancient theory. | ||
'''''Kontinuum'''''<br> | '''''Kontinuum'''''<br> |
Revision as of 18:42, 26 December 2006
Contents
- 1 Page 588
- 2 Page 589
- 3 Page 590
- 4 Page 591
- 5 Page 592
- 6 Page 593
- 7 Page 599
- 8 Page 595
- 9 Page 596
- 10 Page 597
- 11 Page 598
- 12 Page 599
- 13 Page 600
- 14 Page 601
- 15 Page 602
- 16 Page 603
- 17 Page 604
- 18 Page 605
- 19 Page 606
- 20 Page 607
- 21 Page 608
- 22 Page 609
- 23 Page 610
- 24 Page 611
- 25 Page 612
- 26 Page 613
- 27 Annotation Index
Page 588
tannery
???
Gauss's brain
???
impervious to the wind
(Attribute of tanned leather?)
"Heiliger Bimbam!"
???
rim
Kit pretends to think he's referring to monocle as 'chichi' (stylish).
Page 589
Noli me tangere
???
Hausknochen
???
Page 590
Hadamard... Poussin... Prime Number Theorem
???
patent Kühlbox
???
beleaguered subset
???
Page 591
prats
???
Die Nullstellen der [zeta]-Funktion
???
"Richard Harding Davis"
???
seldom, if ever
Cf p559 re Umeki!?
tetralatry
???
C. Howard Hinton
???
Johann K.F. Zöllner
???
vogue... 'vague'
???
Page 592
upside-down triangles
Also Pléiade p538.
metallic banging
Oddly echoes Finnegans Wake.
'metric interval'
???
Prinzenstrasse and Weenderstrasse
???
Page 593
twenty marks
???
der Pistolenheld
???
das Nichtharmonischestrahlenbündel
???
Latin... Euler
???
Mathematical Theory of the Top
???
Leopold Kronecker and Cantor
The "monumental quarrel between Kronecker and Cantor" is also referred to as a "religious war," appropriately enough. It's based in a disagreement over the legitimacy of numbers. Kronecker held that "'the positive integers were created by God, and all else is the work of man.'" This is contradicted by "'Cantor with his Kontinuum, professing an equally strong belief in just those regions, infinitely divisible, which lie between the whole numbers so demanding of all Kronecker's devotion.'"
The disagreement between the two mathematicians is reminiscent of (or does it anticipate?) the rift between Pointsman and Mexico in Gravity's Rainbow. Kronecker's integers "created by God" have become a Pavlovian digital binary for Pointsman, but the two oppositions track faithfully right down to the italicized "between."
"The young statistician [Mexico] is devoted to number and to method, not table-rapping or wishful thinking. But in the domain of zero to one, not-something to something, Pointsman can only possess the zero and the one. He cannot, like Mexico, survive anyplace in between. Like his master I. P. Pavlov before him, he imagines the cortex of the brain as a mosaic of tiny on/off elements.... But to Mexico belongs the domain between zero and one." [Page 55]
It should be noted, however, that the continuous number line was a modern innovation. In Greek number theory, a number is a collection of indivisible units. Irrationals, such as the square root of 2 are not numbers but "magnitudes." One is not even a number for it is not a number of units. There are no negative numbers as well. (see Klein's Greek Mathematical Thought and the Origin of Algebra.) So Kronecker's position may be less of a crazy innovation as much as a maintenance of ancient theory.
Kontinuum
???
Page 599
Nervenklinik
???
boundless epsilonic world
???
Der Finsterzwerg
???
chloral hydrate
???
Kneipe
???
Gauss passing to Weber a remark
???
Weierstrass functions
???
Page 595
That winter, in St. Petersburg
22 Jan 1905 Wikipedia
Japanese won
05 September 1905. Wikipedia
Muslim rebellion
???
the year that followed
???
Peter and Paul Fortress
???
kazatsky
???
Waziristan
???
Page 596
as-ever transcendentally interesting hair
???
'gen'
???
Afghani dirhan
???
Ghaznivid Empire
???
coffee scion
Coffee motif.
Günther von Quassel
???
less than universally respected Ludwig Boltzmann
???
Page 597
Gymnasium child
???
one measure of the chaos
Cf GR on entropy?
Göttingen tradition
???
statue
???
Rathaus square
???
Page 598
Axioms of Zermelo
???
Poincaré
???
Cauchy
???
Whittaker and Watson
???
two point one
(Cf Sondheim lyric.)
Page 599
dueling-society cap
???
Liebchen
???
Egal was, meine Schatze
???
Schläger
???
Krummsäbel
???
Korbrapier
???
épée
???
Page 600
Colt six-shooters
I guess Kit's luggage beat him to Gottingen.
Verbindung
???
restoring moment, elastic constants
???
Geheimrat Hilbert
???
Page 601
Ehrenkodex
???
Tyrolean hats
???
Schnurrbartbinde
???
Zeiss "Palmos Panoram"
???
"Auf die Mensur!"
???
Andaman Islands
???
Stephanie du Motel... group-theory godfather Evariste Galois
???
Page 602
young Ouspensky
???
Chong
???
"The what?"
(Precipitous drop in authorial expectations?)
Sidney... Kensington Sid
???
transtriadic
???
Page 603
"Spiritual... At Göttingen?"
???
Applied Mechanics Institute
???
Prandtl's recent discovery of the boundary layer
???
brambled guttie
???
Bürgerstrasse
???
Brauweg
???
Zhukovsky's Transformation
???
glass of tea
(Why not 'cup'?)
"...according to Spiral Theory, up to infinity."
"And beyond, " added Gunther, nodding earnestly.
Reference to Buzz Lightyear's stock character phrase in 1995's TOY STORY (Pixar/Disney):
"To Infinity... and Beyond!"
--Btchakir 07:43, 19 December 2006 (PST)
Page 604
nontrivial zeroes
???
much-noted talk
???
eigenvalues
???
Hermitian operator
???
spine of reality... "Rückgrat von Wirklichkeit"
???
Hilbert-Polya Conjecture
???
Page 605
Vance Aychrome
???
Full English Breakfast
???
Pythagorean dietary
(Possible missing word?)
kippers and bloaters
???
baps
???
Spong machine
???
thinned
From full 78. Wikipedia
vegetarian haggis
It exists: Google search
Page 606
Lamont replevin
???
Elflock Villa
???
Stuffed Edge, Herts
???
kedgeree
???
Cesare Lombroso
???
Trans-Oxanian
???
Graeco-Buddhist
???
bad hats
???
Page 607
Gas Office
???
communication by means of coal-gas
Cf Nabokov's "Ada". Also inverse of Tesla's energy-transmitter.
bombs... Suffragettes
(Did they bomb post offices?!?)
Pashto
???
Tadjik
???
Seven Dials
???
Page 608
"Avoid beans"
???
spotted dick
???
Yarmouth bloater
???
'shape'
???
blue lamps
???
lamé surfaces
???
yarmulke... high crown... dented Trilby style
???
Page 609
Kelly's Suburban Dictionary
???
wenlets
???
Page 610
daylight oil
???
refused to dim
(Nicely vivid.)
Vontz's Universal Pick
???
alchemized coke
???
Lincrusta-Walton
???
hipshot
???
scalene polygons
???
jet
???
Apotheosis Sparkless Torch
???
Page 611
magnalium
???
The Slow and the Stupefied
Daytime soap 'The Young and the Restless'.
gas-head
Cf pothead, acidhead, etc.
Pike's Peak
Lew's old stompinground.
Gus Swallowfield
???
most theft policies
(Fact?)
pantechnicon
???
legitimate bill of sale
???
Page 612
Pavonazzetto
???
Phrygian marble
???
Atys... Agdistis
???
The Mutilation of Atys
No images: Google image search
Arturo Naunt
???
shocking the bourgeoisie
???
koumiss vessel
???
wrathful deities from Tantric Buddhism
???
Page 613
tiny German hand camera
???
raw light
???
Gasophilia
???
Schwärmer
???
Chidambaram
???
Akaša
???
Atman
???
'Chaos'
???
van Helmont
???
stridently unpopulated
Cf p610.
Annotation Index
Part One: The Light Over the Ranges |
|
---|---|
Part Two: Iceland Spar |
119-148, 149-170, 171-198, 199-218, 219-242, 243-272, 273-295, 296-317, 318-335, 336-357, 358-373, 374-396, 397-428 |
Part Three: Bilocations |
429-459, 460-488, 489-524, 525-556, 557-587, 588-614, 615-643, 644-677, 678-694 |
Part Four: Against the Day |
695-723, 724-747, 748-767, 768-791, 792-820, 821-848, 849-863, 864-891, 892-918, 919-945, 946-975, 976-999, 1000-1017, 1018-1039, 1040-1062 |
Part Five: Rue du Départ |