Surfaces and Essences: Analogy as the Fuel and Fire of Thinking (139 page)

Fresnel, Augustin-Jean,
212

Freud, Sigmund,
132
,
259
,
362
,
501

Freudian slips,
259

friendship crumbling to bits,
133

fringe members of categories,
14

Fromkin, Victoria,
259

frozen assets/liquid assets
membrane, breaking of,
476–477

functional and visual analogies, reinforcing,
277–278

fund-raising in American universities,
109

Funes, Ireneo, lacking ability to abstract,
188

Funk & Wagnalls 1932 dictionary,
201
,
396–397

furniture
, fringe members of the category,
528

—G—

Galilean relativity, principle of,
466–468
,
485
,
486
,
492

Galilei, Galileo,
130
,
466
,
471
; compared with two-year-old Lenni,
45
; extending the concept
Moon
,
43–45
,
147
,
210
,
217
; hypothetically admiring Einstein,
392
; seeing not moons but quote-unquote “Moons”,
64
; of the soccer ball, the,
222
; using the Tower of Pisa to investigate falling objects,
493
,
493
; work on sound waves by,
210

Galois, Évariste: discovery of key link between polynomials and radicals,
446
; group theory invented by,
446–447
; killed in debate,
274
,
448
; opening the Pandora’s box of abstraction in mathematics,
448
; of tobacco science, the,
222

Gauss, Karl Friedrich,
498

Gaussian primes,
448

gearshift, as perceived by novice
versus
by expert driver,
340
,
343
,
344

Gelenk, Gregorius,
464

generalization: of Doppler effect,
470
; by Einstein,
467–468
,
473–474
,
484
; of Galilean relativity,
467–468
,
485
; going hand-inhand with abstraction in math,
449
; as irresistible drive in
mathematics,
444
,
447–449
; of 3-D space to 4-D space-time,
498–499
; of 2-D Gaussian geometry to 4-D geometry,
499
;
see also
category extension

general relativity,
see
relativity, general

genericide,
217–218

genius: compared with child,
45
; irrationality at the core of (Hoffmann),
501
; spotting essences of important situations,
452
;
versus
mediocrity, silly stereotype of,
452

genius of a given language,
120–124

Gentner, Dedre,
338
,
436

genus
versus
species,
239
,
242

geometrical interpretation, as rendering abstract mathematical concepts more real,
443

George’s thesis advisor, judged by analogy with the reader,
157

German language,
6
,
8
,
9
,
12
,
369
; compound words in,
87
,
465

gestalt psychology,
349–350

“get”, broken into many concepts in French,
80

Gevrey-Chambertin Premier Cru Les Cazetiers Dominique Laurent 1996
,
245
,
256

Ghent, Admiral, definition of intelligence by,
125

Gibson, James,
278
,
345

Gick, Mary,
436

gilding the lily in the Copycat domain,
352-353

gist-finding,
see
essence-spotting

gists, sacrificed through wanton acts of abstraction,
107

“give”, metaphorical use of,
6
,
64–65

glass of water: conflated with one-dollar bill,
280
; falling floorwards,
389

glass on shelf, as multi-categorized by Mr. Martin,
189–191

Glucksberg, Sam,
228

God is a sniper
category,
168

Gödel, Kurt,
455

Goldstone, Robert, lexical blend by,
265

golf concepts, typical,
49–50

golf obsession,
301–302

golfer
, as example of concept with halo,
49–50

Goodman, Nelson,
302

good taste
versus
bad taste in the Copycat domain,
349–352
,
355–358
;
see also
dizziness

Google Translate: performance of,
369
,
374
,
377
; techniques employed in,
368–369
,
372–374

“Google”
versus
“google”,
218

gotta
situations,
42

grammar: as a domain for analogy-making,
69–70
; mastery of, as crucial to translation,
376–377

“grand”, broken into two concepts in French,
80

Grand Canyon seen solely as color pattern,
163
;
see also
Danny

grandmother, as marginal member of category
mommy
,
36–37

grandparents ⇒grandchildren
conceptual slippage,
276
,
356

grasshopper/human
analogy,
387

gravitation/acceleration
analogy,
491–492
,
493–494
,
496
,
499

gravity: bending light,
496
; having only relative existence,
494
; as indistinguishable from acceleration,
491–492
,
493–494
,
496
; as needing an explanation, yet unnoticed,
18
; propagation of, across space,
489–490

gravity/electrostatics
analogy,
489–491

gravity/fictitious force
analogy,
491–492

“Gray Rectangle on Gray Background”,
296

Greece’s hand
re
Falkland Islands forced by analogy,
332

Greek letters, irrelevance of, in understanding mathematical ideas,
392–394

Grieg, Edvard, face of,
182–184
,
520–522

grocery stores, navigated by analogy,
23
,
156

“gros”, broken into two concepts in English,
80

groups (mathematical),
446–447
,
448–449
; division of one by another,
448–449

“growing smaller”,
196
,
249
,
413

growth of a category from sequence of instances,
182–184
,
336
,
520
,
522

guilty
and
innocent
as categories,
512
,
514
,
528–529

Gutman, Kellie,
47–49
; parallel poems by,
160
,
380–381

Gutman, Richard,
47–49
,
159–161
,
166
,
380–381

Gyro Gearloose,
197

—H—

h, see
Planck’s constant

“hacker”, old-fashioned and new definitions of,
397

halo of concepts surrounding each concept,
49–50
,
62
,
64
,
150–151
,
328
,
335
; constantly moving outwards,
62

hamburger:
different ideas of, in American and French cultures,
122
; gender of,
427
; replaced by soft-drink bottle in caricature analogy,
326
; used in Paul Newman’s caricature analogy,
318

hammer:
as category (not) involving relationships among parts,
517–518
; making everything look like a nail,
301

Hampton, James,
56

hand/foot
analogy,
15
,
50
,
323–324

“happiest thought of my life” (Einstein),
494

Haussdorff, Felix,
444

“He who will steal an egg will steal an ox”,
106–109
; upbeat interpretation of,
109

heart:
as category involving relationships,
517
; as member of category
pump
,
518

heart/finger
analogy,
464–465

heart/pump
analogy,
515
,
518–519

heat-capacity anomaly explained by Einstein’s sound-quantum hypothesis,
461

Heisenberg, Werner,
453

“here”, as mediating mundane yet subtle analogies,
23
,
142

Hertz, Heinrich,
460
,
461

Herz, Hartmut,
464–465

hesitations in speech as audible traces of silently seething subterranean competition,
263
,
269
,
281

heureux
versus
heureuse
,
9

hierarchy of concepts, blurriness of,
52–54

high-level perception,
452

Hilbert spaces,
444

historical precedents in wartime decisions,
17
,
331–337

history repeating itself,
313
;
see also
political analogies Hitchcock
, Alfred,
59

“hither and skither”,
260
,
383

Hitler, Adolf: annexing Sudetenland,
332
,
334
; as baby,
427
;
caricature analogy involving,
319
; contaminating the name “Adolf”,
514
; as hackneyed source for political analogies,
17
; pluralized,
335
; of snuggling, the,
222

Hoagland, Tony,
132

Hobbes, Thomas,
38
; ranting against metaphors,
21–22

Hoffmann, Banesh,
473
,
474
,
477
,
480
,
481
,
482
,
495
,
500–501

Hofsander, Dounuel, finishing up book in French and English on the unity of analogy-making and categorization,
529–530

Hofsander, Katyanna, as Katy/Anna fusion,
23
,
32
,
529–530

Hofstadter, Carol: coming up with caricature analogy,
318
; driving across U.S. with family,
160
; gawking at random hole,
163
; lemon-sized brain tumor of,
312–313
; signing with maiden name,
148–149
,
174–175

Hofstadter, Danny, 283: eating water,
40
; playing with ants and leaves at edge of Grand Canyon,
159–167
,
171–174

Hofstadter, Douglas: choosing among greetings in Italian,
45–46
; coming up with caricature analogies,
317–318
; conflating glass of water with dollar bill,
280
; as disillusionee and disillusioner,
171
; encoding a significant event in real time,
174
; as error collector,
259
; falling momentarily for
categories = boxes
,
436
; as father disappointing daughter re button,
169–170
; gawking at random hole,
163
; given hope by an analogy,
313
; lecturing on analogies in physics,
452–453
; reminded of an experience forty years later,
169–170
; study and office of,
47–49
; taking coffee break,
185
,
317
; two blue cars of,
283
; watching son at Grand Canyon,
30
,
159–161
; as youngster enchanted by number patterns,
169–170

Hofstadter, Monica, 283: enchanted by noises from Dustbuster,
169–170
,
174

Hofstadter, Oliver, as neighborhood star,
218

Hofstadter, Robert: as father disappointing son
re
subscripts,
169–170
,
174
; study and office of,
47–48

holes in the way a language fills conceptual space,
see
lacunæ

Holyoak, Keith,
330
,
436

horizontal
versus
vertical category extensions,
463–468

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