Ogden's Basic English — 850 Word Foundation¶
Overview¶
C.K. Ogden's Basic English (1930) reduces the English language to 850 essential words sufficient for international communication. In RTSG, this word set serves as the linguistic kernel — the minimal basis for the Linguistic dimension (\(d_L\)) of the K-Matrix.
These 850 words form a complete basis in the sense that any English sentence can be rephrased using only these words plus domain-specific nouns. This is analogous to how a vector space is spanned by its basis vectors — Ogden found the basis of English.
Connection to RTSG¶
| RTSG Concept | Ogden Parallel |
|---|---|
| Grothendieck filter | Ogden's 850 is a linguistic filter — it projects the full English lexicon onto a 850-dimensional subspace |
| Negative space | The ~170,000 English words not in Basic English form the kernel of this filter |
| Spectral decomposition | The 850 words are the top eigenvectors of English by communicative utility |
| K-Matrix \(d_L\) | Basic English spans the Linguistic dimension with minimal basis |
| Intelligence equation \(U = V/(E \times T)\) | Maximum understanding per word — highest \(U\) achievable in language |
Word Categories¶
Ogden organized the 850 words into functional classes:
| Category | Count | Role |
|---|---|---|
| Operations (verbs/particles) | 100 | Actions and logical connectors |
| Things (general nouns) | 400 | Objects and concepts |
| Things (picturable nouns) | 200 | Concrete, visualizable objects |
| Qualities (general) | 100 | Properties and attributes |
| Qualities (opposites) | 50 | Paired contrasts |
| Total | 850 |
Alphabetical Index¶
A¶
a, able, about, account, acid, across, act, addition, adjustment, advertisement, after, again, against, agreement, air, all, almost, among, amount, amusement, and, angle, angry, animal, answer, ant, any, apparatus, apple, approval, arch, argument, arm, army, art, as, at, attack, attempt, attention, attraction, authority, automatic, awake
B¶
baby, back, bad, bag, balance, ball, band, base, basin, basket, bath, be (are), beautiful, because, bed, bee, before, behavior, belief, bell, bent, berry, between, bird, birth, bit, bite, bitter, black, blade, blood, blow, blue, board, boat, body, boiling, bone, book, boot, bottle, box, boy, brain, brake, branch, brass, bread, breath, brick, bridge, bright, broken, brother, brown, brush, bucket, building, bulb, burn, burst, business, but, butter, button, by
C¶
cake, camera, canvas, card, care, carriage, cart, cat, cause, certain, chain, chalk, chance, change, cheap, cheese, chemical, chest, chief, chin, church, circle, clean, clear, clock, cloth, cloud, coal, coat, cold, collar, color, comb, come, comfort, committee, common, company, comparison, complete, competition, complex, condition, connection, conscious, control, cook, copper, copy, cord, cork, cotton, cough, country, cover, cow, crack, credit, crime, cruel, crush, cry, cup, current, curtain, curve, cushion, cut
D¶
damage, danger, dark, daughter, day, dead, dear, death, debt, decision, deep, degree, delicate, dependent, design, desire, destruction, detail, development, different, digestion, direction, dirty, discovery, discussion, disease, disgust, distance, distribution, division, do, dog, door, doubt, down, drain, drawer, dress, drink, driving, drop, dry, dust
E¶
ear, early, earth, east, edge, education, effect, egg, elastic, electric, end, engine, enough, equal, error, even, event, ever, every, example, exchange, existence, expansion, experience, expert, eye
F¶
face, fact, fall, false, family, far, farm, fat, father, fear, feather, feeble, feeling, female, fertile, fiction, field, fight, finger, fire, first, fish, fixed, flag, flame, flat, flight, floor, flower, fly, fold, food, foolish, foot, for, force, fork, form, forward, fowl, frame, free, frequent, friend, from, front, fruit, full, future
G¶
garden, general, get, girl, give, glass, glove, go, goat, gold, good, government, grain, grass, great, green, grey/gray, grip, group, growth, guide, gun
H¶
hair, hammer, hand, hanging, happy, harbor, hard, harmony, hat, hate, have, he, head, healthy, hearing, heart, heat, help, here, high, history, hole, hollow, hook, hope, horn, horse, hospital, hour, house, how, humor
I¶
I, ice, idea, if, ill, important, impulse, in, increase, industry, ink, insect, instrument, insurance, interest, invention, iron, island
J¶
jelly, jewel, join, journey, judge, jump
K¶
keep, kettle, key, kick, kind, kiss, knee, knife, knot, knowledge
L¶
land, language, last, late, laugh, law, lead, leaf, learning, leather, left, leg, let, letter, level, library, lift, light, like, limit, line, linen, lip, liquid, list, little (less, least), living, lock, long, look, loose, loss, loud, love, low
M¶
machine, make, male, man, manager, map, mark, market, married, match, material, mass, may, meal, measure, meat, medical, meeting, memory, metal, middle, military, milk, mind, mine, minute, mist, mixed, money, monkey, month, moon, morning, mother, motion, mountain, mouth, move, much (more, most), muscle, music
N¶
nail, name, narrow, nation, natural, near, necessary, neck, need, needle, nerve, net, new, news, night, no, noise, normal, north, nose, not, note, now, number, nut
O¶
observation, of, off, offer, office, oil, old, on, only, open, operation, opinion, opposite, or, orange, order, organization, ornament, other, out, oven, over, owner
P¶
page, pain, paint, paper, parallel, parcel, part, past, paste, payment, peace, pen, pencil, person, physical, picture, pig, pin, pipe, place, plane, plant, plate, play, please, pleasure, plough/plow, pocket, point, poison, polish, political, poor, porter, position, possible, pot, potato, powder, power, present, price, print, prison, private, probable, process, produce, profit, property, prose, protest, public, pull, pump, punishment, purpose, push, put
Q¶
quality, question, quick, quiet, quite
R¶
rail, rain, range, rat, rate, ray, reaction, reading, ready, reason, receipt, record, red, regret, regular, relation, religion, representative, request, respect, responsible, rest, reward, rhythm, rice, right, ring, river, road, rod, roll, roof, room, root, rough, round, rub, rule, run
S¶
sad, safe, sail, salt, same, sand, say, scale, school, science, scissors, screw, sea, seat, second, secret, secretary, see, seed, selection, self, send, seem, sense, separate, serious, servant, sex, shade, shake, shame, sharp, sheep, shelf, ship, shirt, shock, shoe, short, shut, side, sign, silk, silver, simple, sister, size, skin, skirt, sky, sleep, slip, slope, slow, small, smash, smell, smile, smoke, smooth, snake, sneeze, snow, so, soap, society, sock, soft, solid, some, son, song, sort, sound, south, soup, space, spade, special, sponge, spoon, spring, square, stamp, stage, star, start, statement, station, steam, stem, steel, step, stick, sticky, still, stitch, stocking, stomach, stone, stop, store, story, strange, street, stretch, stiff, straight, strong, structure, substance, such, sudden, sugar, suggestion, summer, sun, support, surprise, sweet, swim, system
T¶
table, tail, take, talk, tall, taste, tax, teaching, tendency, test, than, that, the, then, theory, there, thick, thin, thing, this, though, thought, thread, throat, through, thumb, thunder, ticket, tight, till, time, tin, tired, to, toe, together, tomorrow, tongue, tooth, top, touch, town, trade, train, transport, tray, tree, trick, trouble, trousers, true, turn, twist
U¶
umbrella, under, unit, up, use
V¶
value, verse, very, vessel, view, violent, voice
W¶
waiting, walk, wall, war, warm, wash, waste, watch, water, wave, wax, way, weather, week, weight, well, west, wet, wheel, when, where, while, whip, whistle, white, who, why, wide, will, wind, window, wine, wing, winter, wire, wise, with, woman, wood, wool, word, work, worm, wound, writing, wrong
X, Y, Z¶
year, yellow, yes, yesterday, you, young
RTSG Syntax Extension¶
Ogden's 850 provides the lexical substrate. RTSG extends this with a logical syntax layer inspired by Lojban and formal logic:
Logical Connectives¶
| Symbol | Ogden Word | Logical Form | RTSG Role |
|---|---|---|---|
∧ | and | Conjunction | Tensor product of concepts |
∨ | or | Disjunction | Coproduct / pushout |
¬ | not | Negation | Complement / negative space |
→ | if...then | Implication | Morphism / causal arrow |
↔ | same as | Biconditional | Isomorphism |
∀ | every, all | Universal | Sheaf section (global) |
∃ | some, any | Existential | Stalk (local existence) |
Dimensional Tags¶
Every Ogden word can be tagged with its primary Gardner dimension:
| Tag | Dimension | Example Words |
|---|---|---|
[S] | Spatial | place, distance, direction, position, angle, parallel, square, circle, curve, flat, round, straight |
[L] | Linguistic | word, language, letter, writing, name, reading, say, talk, question, answer, story, prose |
[M] | Logical-Mathematical | number, addition, division, equal, measure, account, balance, comparison, degree, rate, scale, unit |
[B] | Bodily-Kinesthetic | walk, run, jump, push, pull, kick, grip, touch, move, motion, step, stretch |
[N] | Naturalistic | animal, plant, seed, earth, sun, moon, star, river, mountain, rain, wind, weather |
[μ] | Musical (hole) | music, rhythm, song, harmony, bell, sound, voice, noise, thunder, whistle |
[I] | Interpersonal (hole) | friend, brother, sister, family, society, company, committee, nation, government, public |
[ι] | Intrapersonal (hole) | self, mind, belief, feeling, memory, thought, desire, fear, hope, shame, conscious |
Sentence Structure¶
RTSG logical syntax follows Subject–Relation–Object with explicit typing:
Examples using only Ogden words:
[M] number —is_a→ idea
[S] circle —part_of→ form
[N] seed —produces→ plant
[B] foot —enables→ walk
[ι] mind —contains→ thought
[μ] rhythm —relates_to→ music
Filter Notation¶
Applying a Grothendieck filter to the Ogden basis:
F_spatial(850) = {place, distance, direction, position, angle, ...} (~60 words)
F_logical(850) = {number, addition, equal, measure, ...} (~45 words)
neg(F_spatial) = 850 \ F_spatial(850) (~790 words)
The negative space of each dimensional filter contains the words that dimension cannot see — its topological silence.
Statistics¶
| Metric | Value |
|---|---|
| Total words | 850 |
| Letters represented | 23 (no entries for X, Y standalone) |
| Longest letter section | S (126 words) |
| Shortest letter sections | J (6), K (10), Q (5), U (5), V (7) |
| Words mappable to Musical dimension | ~10 (1.2%) |
| Words mappable to Interpersonal dimension | ~15 (1.8%) |
| Words mappable to Intrapersonal dimension | ~12 (1.4%) |
| Words mappable to Spatial dimension | ~60 (7.1%) |
| Words mappable to Logical-Mathematical dimension | ~45 (5.3%) |
The dimensional distribution mirrors the knowledge graph's topology: Spatial and Logical-Mathematical dominate, Musical/Interpersonal/Intrapersonal are sparse — the same 3 holes appear in the lexical substrate.
References¶
- Ogden, C.K. (1930). Basic English: A General Introduction with Rules and Grammar. London: Kegan Paul.
- ogden.basic-english.org