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The Apology
Part
1 Text | sons, O Athenians, three in number, one almost a man, and two
Charmides
Part
2 PreS | partly also the greater number of demonstrative and relative
3 PreS | When one epistle out of a number is spurious, the remainder
4 PreS | events extending over a great number of years.~The external probability
5 Intro| sciences have a subject: number is the subject of arithmetic,
6 Text | Archon, and there I found a number of persons, most of whom
Cratylus
Part
7 Intro| Socrates admits that the number 10, if an unit is subtracted,
8 Intro| motion. ‘Yes; but the greater number of words express motion.’
9 Intro| barbarians.~(3) But the greater number of primary words do not
10 Intro| capable of uttering a certain number of sounds. Every man has
11 Intro| parts of speech? Why is the number of words so small in which
12 Intro| the lines of analogy. Like number from which it seems to be
13 Intro| innumerable ways in which, like number, analogy permeates, not
14 Intro| meaning. In by far the greater number of words it has become disguised
15 Intro| because ideas vary or the number of things which is included
16 Text | you may count me in the number of your disciples.~CRATYLUS:
17 Text | at all; for example, the number ten at once becomes other
18 Text | subtracted, and so of any other number: but this does not apply
19 Text | we take the instance of number, how can you ever imagine,
20 Text | resembling every individual number, unless you allow that which
21 Text | but observe; the greater number express motion.~SOCRATES:
Critias
Part
22 Intro| Carthage and Rome. The small number of the primitive Athenian
23 Intro| which is about their present number’ (Crit.), is evidently designed
24 Intro| careful to preserve the number of fighting men and women
25 Intro| though matched against any number of opponents (cp. Rep.).
26 Text | thousand years, for that is the number of years which have elapsed
27 Text | care to preserve the same number of men and women through
28 Text | Moreover, there were a great number of elephants in the island;
29 Text | such was thought to be the number of them by the men of those
30 Text | were celebrated for their number and size and beauty, far
31 Text | each way, and the total number of all the lots was sixty
32 Text | the odd and to the even number. And when they were gathered
Crito
Part
33 Text | held, by any considerable number of persons; and those who
Euthydemus
Part
34 Text | who do not know are of the number of those who have not?~He
35 Text | truth; if you tell us the number, and we count them, and
Euthyphro
Part
36 Text | good friend, differ about a number; do differences of this
37 Text | as the odd is a part of number, and number is a more extended
38 Text | is a part of number, and number is a more extended notion
39 Text | asked me what is an even number, and what part of number
40 Text | number, and what part of number the even is, I should have
41 Text | difficulty in replying, a number which represents a figure
The First Alcibiades
Part
42 Text | you which is the greater number, two or one; you would reply ‘
43 Text | True.~SOCRATES: And about number, will not the same person
44 Text | this will be he who knows number, or the arithmetician?~ALCIBIADES:
45 Text | one seeks to persuade a number, and the other an individual,
46 Text | Messenian territory, or in the number of their slaves, and especially
Gorgias
Part
47 Intro| and proceeds to ask him a number of questions, which are
48 Intro| happiness of the greatest number may mean also the greatest
49 Intro| pleasure of the greatest number. Ideas of utility, like
50 Intro| mathematical figure of the number of the state (Republic),
51 Text | teach us the properties of number?~GORGIAS: Certainly.~SOCRATES:
52 Text | when they bring forward a number of witnesses of good repute
53 Text | largest coat, and the greatest number of them, and go about clothed
54 Text | shoes, and have the greatest number of them?~CALLICLES: Fudge
55 Text | men, both of whom have a number of casks; the one man has
56 Text | master to show, and only a number of worthless buildings or
Ion
Part
57 Text | sometimes you may see a number of pieces of iron and rings
58 Text | Musaeus; but the greater number are possessed and held by
Laches
Part
59 Text | to fight in a line with a number of others, such an acquirement
Laws
Book
60 1 | be the right one; for if number is to be the criterion,
61 1 | a few, or indeed to any number; and he would do well who
62 1 | only, rather than with any number of other things, whether
63 1 | himself in company with any number of others, and display his
64 2 | most mirth to the greatest number? Now is this a true way
65 3 | are they, and how many in number? Is there not one claim
66 4 | with the diminution of the number.~Cleinias. You mean to say,
67 4 | government is in the hands of a number of potentates. I am supposing
68 4 | has occurred times without number in states—~Cleinias. What
69 5 | not differ severally in number and magnitude and intensity
70 5 | pleasures in greatness and number and frequency. Hence one
71 5 | In the first place, the number of the citizens has to be
72 5 | determined, and also the number and size of the divisions
73 5 | as fairly as we can. The number of citizens can only be
74 5 | sufficient to maintain a certain number of inhabitants in a moderate
75 5 | is not required; and the number of citizens should be sufficient
76 5 | outline of our state. The number of our citizens shall be
77 5 | this will be a convenient number; and these shall be owners
78 5 | to a lot. Let the whole number be first divided into two
79 5 | then into three; and the number is further capable of being
80 5 | four or five parts, or any number of parts up to ten. Every
81 5 | to be able to tell what number is most likely to be useful
82 5 | we are going to take that number which contains the greatest
83 5 | divisions. The whole of number has every possible division,
84 5 | possible division, and the number 5040 can be divided by exactly
85 5 | land. These properties of number should be ascertained at
86 5 | further that the present number of families should be always
87 5 | devise a means that the number of 5040 houses shall always
88 5 | be taken to increase the number of births by rewards and
89 5 | fewer than the appointed number by reason of bereavement,
90 5 | and agreement, as regards number and every good and noble
91 5 | all, observe the aforesaid number 5040 throughout life; in
92 5 | quality shall be larger. The number of the lots shall be 5040,
93 5 | parts admit of the greatest number of divisions of that which
94 6 | are two parts: first, the number of the magistracies, and
95 6 | suitable in nature and number. But before electing the
96 6 | judged to be first, to the number of 300, shall be shown by
97 6 | second selection, to the number of 100, shall be again exhibited
98 6 | thirty who have the greatest number of votes. But who, Cleinias
99 6 | of the colonists, to the number of not less than a hundred;
100 6 | three who have the greatest number of votes shall be appointed
101 6 | two who have the greatest number of votes shall be the leaders
102 6 | 360 will be a convenient number for sub–division. If we
103 6 | If we divide the whole number into four parts of ninety
104 6 | of measure, weight, and number, which regulates and apportions
105 6 | energy. Moreover, the greater number of the senators will have
106 6 | three who have the greatest number of votes [out of the twelve
107 6 | the country were sixty in number, and the wardens of the
108 6 | been given on them, and the number is reduced to the six who
109 6 | six who have the greatest number of votes, let the electing
110 6 | and second class, five in number: ten are to be first elected,
111 6 | he who has the greatest number of votes, after he has undergone
112 6 | must first return to the number 5040—the entire number had,
113 6 | the number 5040—the entire number had, and has, a great many
114 6 | convenient divisions, and the number of the tribes which was
115 6 | And not only is the whole number divisible by twelve, but
116 6 | by twelve, but also the number of each tribe is divisible
117 6 | than the selection of the number 5040, which may be divided
118 6 | both families; and a like number of members of the family
119 6 | possible, with a sufficient number of suitable slaves who can
120 6 | and let them in whatever number, large or small, and at
121 7 | accomplishments in the given number of years, they should let
122 7 | garlands, using the same number sometimes for a larger and
123 7 | and sometimes for a lesser number of persons; and they arrange
124 8 | regulated by us.~Cleinias. The number—yes.~Athenian. Then we will
125 8 | will first determine the number; and let the whole number
126 8 | number; and let the whole number be 365—one for every day—
127 8 | already said, the whole number of them belonging to any
128 8 | earth, taking the whole number of them.~In the second place,
129 9 | sufferings are infinite in number and degree, and that they
130 9 | according to their nature and number, and determine what will
131 9 | fortune, in which there are a number of sons; from that family
132 10 | Cleinias. How?~Athenian. Number like some other things is
133 10 | parts; when thus divided, number is named “even,” and the
134 10 | definition of the name “even” is “number divisible into two equal
135 10 | thing, calling “even” the number which is divided into two
136 10 | second, or by any lower number which you may prefer?~Cleinias.
137 11 | they are and whatever their number be, if they are able and
138 11 | those who have a sufficient number of children should separate
139 11 | has begotten a sufficient number of sons to his family and
140 11 | dies leaving a sufficient number of children, the mother
141 12 | three men out of their own number in the manner following:—
142 12 | persons who have the greatest number of votes, they shall make
143 12 | half, if they are an even number; but if they are not an
144 12 | if they are not an even number, they shall subtract the
145 12 | one who has the smallest number of votes, and make them
146 12 | votes, and make them an even number, and then leave the half
147 12 | half which have the great number of votes. And if two persons
148 12 | two persons have an equal number of votes, and thus increase
149 12 | votes, and thus increase the number beyond one–half, they shall
150 12 | three having an unequal number of votes. But if all the
151 12 | of which the nature and number have been described, and
152 12 | and the completion of the number of them, and the appointment
Lysis
Part
153 Text | playing at odd and even with a number of dice, which they took
154 Text | spoke—for there were such a number of them that I cannot remember
Menexenus
Part
155 Intro| difficulty in improvising any number of such orations. To praise
156 Text | Third in order, for the number and valour of the combatants,
Meno
Part
157 Intro| beings are included in the number of them. Hence there is
158 Text | sound, and not broken into a number of pieces: I have given
159 Text | of Athenians and few in number, remember again that Thucydides
Parmenides
Part
160 Intro| you may easily show any number of inconsistent consequences.’ ‘
161 Intro| implies a greater or less number of measures. But the one,
162 Intro| measure; nor a greater or less number of measures, for that would
163 Intro| three; and two is an even number, three an odd; and two units
164 Intro| implied in one, must not every number exist? And number is infinite,
165 Intro| every number exist? And number is infinite, and therefore
166 Intro| infinite, for all and every number partakes of being; therefore
167 Intro| therefore being has the greatest number of parts, and every part,
168 Intro| parts and represented by a number corresponding to the number
169 Intro| number corresponding to the number of the parts. And if so,
170 Intro| that being has the greatest number of parts; for being is coequal
171 Intro| limited as well as infinite in number; and that which is a whole
172 Intro| nor can the not one be number, for that also involves
173 Intro| one, and therefore none in number, and therefore two has no
174 Intro| nor duality, nor any other number, nor any opposition or distinction,
175 Intro| they will have no unity or number, but only a semblance of
176 Intro| a semblance of unity and number; and the least of them will
177 Intro| divided, is regarded, like a number, as capable of further infinite
178 Intro| language in such a manner that number and figure may be made a
179 Intro| can persuade us that the number one is the number three,
180 Intro| that the number one is the number three, so neither can we
181 Intro| thought or objects of sense—to number, time, place, and to the
182 Text | spread out a sail and cover a number of men, there would be one
183 Text | is as follows:—You see a number of great objects, and when
184 Text | if this is so, does any number remain which has no necessity
185 Text | whatever.~Then if one is, number must also be?~It must.~But
186 Text | It must.~But if there is number, there must also be many,
187 Text | multiplicity of being; for number is infinite in multiplicity,
188 Text | right?~Certainly.~And if all number participates in being, every
189 Text | in being, every part of number will also participate?~Yes.~
190 Text | Then it has the greatest number of parts?~Yes, the greatest
191 Text | parts?~Yes, the greatest number.~Is there any of these which
192 Text | distributed into the greatest number of parts. For it is not
193 Text | limits and yet unlimited in number?~Clearly.~And because having
194 Text | Nor can the not-one be number; for having number, it would
195 Text | not-one be number; for having number, it would not have been
196 Text | added in due order, the number of terms will be three,
197 Text | contacts are one less in number than the terms; the first
198 Text | first two terms exceeded the number of contacts by one, and
199 Text | contacts by one, and the whole number of terms exceeds the whole
200 Text | terms exceeds the whole number of contacts by one in like
201 Text | afterwards added to the number of terms, one contact is
202 Text | True.~Whatever is the whole number of things, the contacts
203 Text | True.~Then they have no number, if they have no one in
204 Text | called by the name of any number?~No.~One, then, alone is
205 Text | divisions, it will be in number more or less than itself
206 Text | others, and likewise equal in number to itself and to the others?~
207 Text | them, it will be more in number than them; and inasmuch
208 Text | smaller, it will be less in number; and inasmuch as it is equal
209 Text | will be equal to them in number.~Certainly.~Once more, then,
210 Text | appear, the one will be in number both equal to and more and
211 Text | And a multitude implies a number larger than one?~Of course.~
212 Text | of all things that have number is the first to come into
213 Text | all other things have also number, being plural and not singular.~
214 Text | from each other by an equal number, the one cannot become older
215 Text | in the one be infinite in number?~How so?~Let us look at
216 Text | see them, be unlimited in number?~Certainly.~And yet, when
217 Text | particle of them is infinite in number; and even if a person takes
218 Text | And it would seem that number can be predicated of them
Phaedo
Part
219 Intro| notions of comparison and number. At first he had imagined
220 Intro| cold, with heat. Again, the number three excludes the number
221 Intro| number three excludes the number four, because three is an
222 Intro| because three is an odd number and four is an even number,
223 Intro| number and four is an even number, and the odd is opposed
224 Intro| excludes the even, but that the number three, which participates
225 Intro| were imperishable, then the number three would not perish but
226 Intro| or air, or water; or of a number or of a harmony of number;
227 Intro| number or of a harmony of number; or to be or have, like
228 Text | true philosophers.’ In the number of whom, during my whole
229 Text | say by, and by reason of, number; or you would say that two
230 Text | clearer by an example:—The odd number is always called by the
231 Text | whether numbers such as the number three are not of the class
232 Text | and of every alternate number—each of them without being
233 Text | alternate numbers, has every number even, without being evenness.
234 Text | For example; Will not the number three endure annihilation
235 Text | be converted into an even number, while remaining three?~
236 Text | Cebes.~And yet, he said, the number two is certainly not opposed
237 Text | certainly not opposed to the number three?~It is not.~Then not
238 Text | which are possessed by the number three must not only be three
239 Text | must not only be three in number, but must also be odd.~Quite
240 Text | this oddness, of which the number three has the impress, the
241 Text | Then the idea of the even number will never arrive at three?~
242 Text | None.~Then the triad or number three is uneven?~Very true.~
243 Text | harm in repetition. The number five will not admit the
244 Text | more than three or the odd number will admit of the even,
245 Text | the odd principle and the number three took their departure;
246 Text | up, and they are more in number and fairer than the eye
Phaedrus
Part
247 Intro| think for themselves. The number of persons who will have
248 Text | others to make an equal number of speeches. I would except
249 Text | and if multiform, then to number the forms; and see first
Philebus
Part
250 Intro| can be broken up into a number of individuals, or be in
251 Intro| wonderful construction of number and figure, which he had
252 Intro| to ideas of measure and number, as the sole principle of
253 Intro| superiority of the pure science of number over the mixed or applied,
254 Intro| the sciences of figure and number are probably classed with
255 Intro| truth beyond either Being or number; setting up his own concrete
256 Intro| with the application of number to abstract unities (e.g.‘
257 Intro| you must know also the number and nature of the intervals,
258 Intro| claims, we want to know the number and kinds of both of them.
259 Intro| or reduced to measure by number and quantity. The opposite
260 Intro| includes all things which have number and quantity. And there
261 Intro| guess-work and an element of number and measure in them. In
262 Intro| happiness of the greatest number, but because he has done
263 Intro| an error in the original number disturbs the whole calculation
264 Intro| happiness of the greatest number was a great original idea
265 Intro| happiness of the greatest number, which is the thesis of
266 Text | for three or some other number, subdividing each of these
267 Text | infinite, but also a definite number; the infinite must not be
268 Text | the many until the entire number of the species intermediate
269 Text | but the knowledge of the number and nature of sounds is
270 Text | high and what low, and the number and nature of the intervals
271 Text | and he who never looks for number in anything, will not himself
272 Text | himself be looked for in the number of famous men.~PROTARCHUS:
273 Text | infinity, but to a definite number, and now I say conversely,
274 Text | should look about for some number representing a certain quantity,
275 Text | this infinity a certain number of vowels, and then other
276 Text | too exist in a definite number; and lastly, he distinguished
277 Text | individual sounds, and told the number of them, and gave to each
278 Text | once infinite, and what number of species is to be assigned
279 Text | i.e. into the infinite number of individuals).~PROTARCHUS:
280 Text | pleasure, and what is the number and nature of them, and
281 Text | double, or any other ratio of number and measure—all these may,
282 Text | opposition, and by introducing number creates harmony and proportion
283 Text | surely by far the greatest number err about the goods of the
284 Text | other hand, which uses a number of measures and instruments,
Protagoras
Part
285 Text | infer them to be of the number of those who think that
286 Text | he had put a sufficient number of them, that he would answer
287 Text | same holds of thickness and number; also sounds, which are
288 Text | defect, and a knowledge of number, when the question is of
The Republic
Book
289 1 | falsely to say some other number which is not the right one?-
290 2 | unprocurable victim; and then the number of the hearers will be very
291 3 | have treated the greatest number of constitutions, good and
292 4 | or three times their own number? ~I agree with you, for
293 4 | other States in the plural number; not one of them is a city,
294 4 | deed and truth, though she number not more than 1,000 defenders.
295 4 | as might be supposed, a number of great principles, but
296 4 | which are also four in number? ~Clearly. ~First among
297 4 | wealth or strength or the number of his followers, or any
298 4 | and that they are three in number. ~Exactly. ~Must we not
299 5 | composed by our poets: the number of weddings is a matter
300 5 | State in which the greatest number of persons apply the terms "
301 6 | to say that the greater number of them are arrant rogues,
302 6 | useless, and the greater number utterly depraved, we were
303 6 | nothing, and that the greater number deserve the severest punishment. ~
304 7 | two, and three-in a word, number and calculation: do not
305 7 | declares that he had invented number, and had numbered the ships
306 7 | he if he was ignorant of number? And if that is true, what
307 7 | which class do unity and number belong? ~I do not know,
308 7 | must be equally true of all number? ~Certainly. ~And all arithmetic
309 7 | calculation have to do with number? ~Yes. ~And they appear
310 7 | war must learn the art of number or he will not know how
311 7 | to reason about abstract number, and rebelling against the
312 7 | contained in them, in the true number and in every true figure.
313 7 | the natural harmonies of number, or reflect why some numbers
314 7 | be enrolled in a select number. ~At what age? ~At the age
315 7 | exclusively for twice the number of years which were passed
316 8 | is contained in a perfect number, but the period of human
317 8 | birth is comprehended in a number in which first increments
318 8 | 400 = 8000). Now this number represents a geometrical
319 9 | determined the nature and number of the appetites, and until
320 9 | perpetrators of them are few in number. ~Yes, I said; but small
321 9 | pleasure by the space of a number which is three times three? ~
322 9 | pleasure determined by the number of length will be a plane
323 9 | calculation, I said, and a number which nearly concerns human
324 10 | usual manner: Whenever a number of individuals have a common
325 10 | they will not diminish in number. Neither will they increase,
326 10 | unjust I say that the greater number, even though they escape
327 10 | are as nothing either in number or greatness in comparison
328 10 | is another band, three in number, each sitting upon her throne:
329 10 | took his lot perceived the number which he had obtained. Then
330 10 | overtaken, that the greater number of them came from heaven
331 10 | moderately fortunate in the number of the lot, he might, as
The Seventh Letter
Part
332 Text | of his empire, seven in number, each of them greater than
The Sophist
Part
333 Intro| knowledge. Does not the very number of them imply that the nature
334 Intro| singular or plural. But number is the most real of all
335 Intro| is,’ ‘are not,’ without number?~And now arises the greatest
336 Intro| does not imply being and number. ‘But I cannot.’ Then the
337 Intro| whole; nor can being have number, for that which has number
338 Intro| number, for that which has number is a whole or sum of number.
339 Intro| number is a whole or sum of number. These are a few of the
340 Intro| into a finite or infinite number of elemental forms, in alternation
341 Intro| quality, quantity, measure, number, and the like, (2) ascending
342 Intro| ponder over the thought of number, reminding ourselves that
343 Intro| acknowledges that the same number may be more or less in relation
344 Intro| ideas of Being, change, number, seem to have sprung up
345 Text | furbishing in general attend in a number of minute particulars, having
346 Text | and yet, considering the number of forms in which he has
347 Text | Impossible.~STRANGER: And all number is to be reckoned among
348 Text | THEAETETUS: Yes, surely number, if anything, has a real
349 Text | to attribute to not-being number either in the singular or
350 Text | thing which is not without number?~THEAETETUS: How indeed?~
351 Text | speak of not-being without number, we must acknowledge that
352 Text | undertook to determine the number and nature of existences,
353 Text | we cannot admit that the number is less than it appeared
354 Text | things, which are infinite in number.~THEAETETUS: That is not
355 Text | without hesitation, we shall number the different kinds as two.~
The Statesman
Part
356 Intro| female; or like a division of number into ten thousand and all
357 Intro| measure the relative size or number of objects, and in the other
358 Intro| imitations only. Yet no great number of persons can attain to
359 Intro| as we have seen, no great number of men, whether poor or
360 Intro| into two, so that the whole number of them, including the best,
361 Text | sought amongst twice the number of things, to be then sought
362 Text | sought amongst half that number?~YOUNG SOCRATES: I will
363 Text | you might halve an even number.~YOUNG SOCRATES: Clearly.~
364 Text | the earth her appointed number of times, the pilot of the
365 Text | all the arts which measure number, length, depth, breadth,
366 Text | found in a city of that number as many really first-rate
367 Text | STRANGER: We said that no great number of persons, whoever they
368 Text | science conversant with number, whether simple or square
369 Text | And any individual or any number of men, having fixed laws,
370 Text | principle that no great number of men are able to acquire
The Symposium
Part
371 Intro| select friends more than any number of spectators at the theatre,
372 Intro| existence of love, as of number and figure, were everywhere
373 Text | but originally three in number; there was man, woman, and
Theaetetus
Part
374 Intro| being, likeness, sameness, number, which the mind contemplates
375 Intro| his etymologies, as in the number of the State, we cannot
376 Intro| many or rather infinite in number. And I challenge you, either
377 Intro| his ‘truth’ depend on the number of suffrages, and be more
378 Intro| more than they can tell the number of pints in the ocean. Neither
379 Intro| consideration of the greater number, by designedly omitting
380 Intro| parts separated: e.g. the number four, or any other number,
381 Intro| number four, or any other number, is more than the units
382 Intro| conceptions of Being, sameness, number, and the like, from reflection
383 Intro| have differences of form, number, colour. But the conception
384 Intro| Plato says (Republic), until number introduces light and order
385 Intro| everything. Language, like number, is intermediate between
386 Intro| recall differences of form, number, colour, and the like. Neither
387 Intro| sciences, it rests upon a small number of facts; and when we go
388 Text | the subjects, nor yet the number of the arts or sciences,
389 Text | and five, and every other number which is made up of unequal
390 Text | greater or less, either in number or magnitude, while remaining
391 Text | passive, both in endless number; and out of the union and
392 Text | generated a progeny endless in number, having two forms, sense
393 Text | horse, there are perched a number of unconnected senses, which
394 Text | according to that argument, the number eleven, which is only thought,
395 Text | has the conceptions of number under his hand, and can
396 Text | how much such and such a number amounts to?~THEAETETUS:
397 Text | that he is going to read or number what he does not know, although
398 Text | singular)? Take the case of number:—When we say one, two, three,
399 Text | all’ of things measured by number, we predicate at the same
400 Text | do.~SOCRATES: Again, the number of the acre and the acre
401 Text | Yes.~SOCRATES: And the number of the stadium in like manner
402 Text | SOCRATES: And the army is the number of the army; and in all
403 Text | similar cases, the entire number of anything is the entire
404 Text | True.~SOCRATES: And the number of each is the parts of
405 Text | be the all, if the entire number is the all?~THEAETETUS:
Timaeus
Part
406 Intro| even in applications of number and figure (Rep.). His mind
407 Intro| generation, just as the number of population in the Republic
408 Intro| world to be contained in number. Many, if not all the elements
409 Intro| uniform motion according to number, parted into months and
410 Intro| in a circle measured by number.~Thus was time made in the
411 Intro| beings that knowledge of number which is derived from the
412 Intro| distributed into souls equal in number to the stars, and assigned
413 Intro| given us the knowledge of number and time, the power of enquiry,
414 Intro| fashioned them by figure and number. In this, as in every other
415 Intro| from the one to the other.~Number and figure were the greatest
416 Intro| reappear only in the light of number. Law and morality also found
417 Intro| a natural expression in number and figure. Instruments
418 Intro| the world if deprived of number (Rep.)? The mystery of number
419 Intro| number (Rep.)? The mystery of number and the mystery of music
420 Intro| existed between music and number, a fanciful or imaginary
421 Intro| all things seen there was number and figure, why should they
422 Intro| seemed to be at variance with number, as for example in the case
423 Intro| Secondly, they applied number and figure equally to those
424 Intro| seen the world pervaded by number and figure, animated by
425 Intro| 3, 9, 27, of which the number 1 represents a point, 2
426 Intro| The square of any such number represents a surface, the
427 Intro| regularly marked by divisions of number, partakes of the indefiniteness
428 Intro| supposed to be four in number—fire, air, earth, and water.
429 Intro| fashioned them by form and number, the greater masses of the
430 Intro| three increases with the number of their sides.~The elements
431 Intro| that there is an infinite number of worlds, as Democritus (
432 Intro| by the superior power or number of the conquering elements.
433 Intro| creation: (2) they are four in number, and are formed of rectangular
434 Intro| to coincide in a perfect number, i.e. a number which equals
435 Intro| a perfect number, i.e. a number which equals the sum of
436 Intro| were measured by ratios of number; (7) that mathematical laws
437 Intro| to have their origin in number and figure; (8) the annihilation
438 Intro| physiology partakes of figure and number; and Plato is not wrong
439 Intro| by experience as facts of number. Having observed that they
440 Intro| Pythagoreans, whose intervals of number applied to the distances
441 Intro| numbers, especially of the number 10 (Stob. Eclog.), and descants
442 Intro| although the importance of number as a form and also an instrument
443 Intro| and have an affinity to number and measure and a presentiment
444 Text | two worlds or an infinite number of them; but there is and
445 Text | such elements which are in number four, the body of the world
446 Text | is exceeded by an equal number (e.g.~— over 1, 4/3, 3/2, —
447 Text | but moving according to number, while eternity itself rests
448 Text | revolves according to a law of number. Moreover, when we say that
449 Text | intended, might participate in number, learning arithmetic from
450 Text | one another by the help of number, and hence they can scarcely
451 Text | wanderings, being infinite in number and admirable for their
452 Text | seeing that the perfect number of time fulfils the perfect
453 Text | of a certain nature and number, he thought that this created
454 Text | species of a like nature and number. There are four such; one
455 Text | mixture into souls equal in number to the stars, and assigned
456 Text | the years, have created number, and have given us a conception
457 Text | fashioned them by form and number. Let it be consistently
458 Text | unequal-sided has an infinite number. Of the infinite forms we
459 Text | into one another, a great number of small bodies being combined
460 Text | indefinite or definite in number, will be of opinion that
461 Text | composed of the smallest number of similar particles: and