Geometry
120
MENTIONS
30
EPISODES
27
PODCASTS
Search complete. 120 mentions across 30 episodes found for "Geometry".
Sep 13, 2026
Institutio Oratoria (On the Education of an Orator), volume 1-Marcus Fabius Quintilianus
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201:09David WalesNARRATOR
But it is not without good reason that some of the greatest men have devoted special attention to this science.
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201:16David WalesNARRATOR
Geometry has two divisions; one is concerned with numbers, the other with figures.
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201:21David WalesNARRATOR
Now, knowledge of the former is a necessity, not merely to the orator, but to any one who has had even an elementary education.
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201:30David WalesNARRATOR
Such knowledge is frequently required in actual cases, in which a speaker is regarded as deficient in education, I will not say if he hesitates in making a calculation, but even if he contradicts the calculation which he states in words by making an uncertain or inappropriate gesture with his fingers.
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201:58David WalesNARRATOR
But geometry and oratory are related in a yet more important way than this.
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202:04David WalesNARRATOR
In the first place, logical development is one of the necessities of geometry.
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202:10David WalesNARRATOR
And is it not equally a necessity for oratory? Geometry arrives at its conclusions from definite premises, and by arguing from what is certain proves what was previously uncertain.
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202:23David WalesNARRATOR
Is not this just what we do in speaking? Again, are not the problems of geometry almost entirely solved by the syllogistic method, a fact which makes the majority assert that geometry bears a closer resemblance to logic than to rhetoric? But even the orator will sometimes, though rarely, prove his point by formal logic.
5 Dumb Babies vs 1 Genius Baby
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18:38King BachPANELIST
In.
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18:38OliviaGUEST
Geometric.
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18:39King BachPANELIST
What's geometric? Isn't that math?
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18:41OliviaGUEST
Yeah.
Relativity The Special and General Theory-Albert Einstein
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4:43Kelly BeshearNARRATOR
But perhaps this feeling of proud certainty would leave you immediately if someone were to ask you, What then do you mean by the assertion that these propositions are true? Let us proceed to give this question a little consideration.
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4:57Kelly BeshearNARRATOR
Geometry sets out from certain conceptions such as plane, point, and straight line with which we are able to associate more or less definite ideas, and from certain simple propositions or axioms which, in virtue of these ideas, we are inclined to accept as true.
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5:14Kelly BeshearNARRATOR
Then on the basis of a logical process, the justification of which we feel ourselves compelled to admit, all remaining propositions are shown to follow from those axioms, i.e. they are proven.
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5:26Kelly BeshearNARRATOR
A proposition is then correct or true when it has been derived in the recognized manner from the axioms.
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5:54Kelly BeshearNARRATOR
We can only say that Euclidean geometry deals with things called straight lines, to each of which is ascribed the property of being uniquely determined by two points situated on it.
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6:06Kelly BeshearNARRATOR
The concept true does not tally with the assertions of pure geometry, because by the word true we are eventually in the habit of designating always the correspondence with a real object.
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6:18Kelly BeshearNARRATOR
Geometry, however, is not concerned with the relation of the ideas involved in it to objects of experience, but only with the logical connection of these ideas among themselves.
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6:28Kelly BeshearNARRATOR
It is not difficult to understand why, in spite of this, we feel constrained to call the propositions of geometry true.
Mysticism and Logic and Other Essays-Bertrand Russell
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158:11Landon D. C. ElkindNARRATOR
It was formerly supposed that pure reason could decide, in some respects, as to the nature of the actual world.
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158:18Landon D. C. ElkindNARRATOR
Geometry, at least, was thought to deal with the space in which we live.
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158:22Landon D. C. ElkindNARRATOR
But we now know that pure mathematics can never pronounce upon questions of actual existence.
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158:28Landon D. C. ElkindNARRATOR
The world of reason, in a sense, controls the world of fact, but it is not at any point creative of fact, and in the application of its results to the world in time and space, its certainty and precision are lost among approximations and working hypotheses.
50 MINS LATER
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209:07Landon D. C. ElkindNARRATOR
The study of different types of series is a general subject of which the study of ordinal numbers mentioned above is a special and very interesting branch.
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209:17Landon D. C. ElkindNARRATOR
But the unavoidable technicalities of this subject render it impossible to explain to any but professed mathematicians.
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209:25Landon D. C. ElkindNARRATOR
Geometry, like arithmetic, has been subsumed in recent times under the general study of order.
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209:32Landon D. C. ElkindNARRATOR
It was formerly supposed that geometry was the study of the nature of the space in which we live.
Ep. 117 - Demystifying Physics, Part 2
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19:14Steve PattersonHOST
It's just states of geometry in relation to one another.
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19:19Steve PattersonHOST
The problem with that view is it doesn't explain behavior at all.
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19:23Steve PattersonHOST
Geometry doesn't get us to physics.
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19:27Steve PattersonHOST
even if you have some fundamental, whatever the geometric construction of that fundamental subunit is, even if we understand how, you know, you use the term enchained, I think, in there, however it's enchained geometrically, it doesn't actually give us any explanation for why the universe would proceed to the next state the way that it does.
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19:49Steve PattersonHOST
without some additional stuff.
28 MINS LATER
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48:08Steve PattersonHOST
So this is sort of the same thing.
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48:10Steve PattersonHOST
What I'm saying is there is no...
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48:14Steve PattersonHOST
Geometry does not give us an explanation for why there is pushing or pulling.
The Spiral That Rewrote Every Memory in Terra Noctis
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17:45WilkinHOST
"It's a growth axis," Raphael whispered.
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17:48WilkinHOST
"Geometric, biological.
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17:49WilkinHOST
If we overlaid this on cellular mitosis..." Caspar interrupted, agitated.
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17:54WilkinHOST
"Or it's a marker of something moving down there, using us to track it, or us as part of it." Safe's hand shook.
Relativity The Special and General Theory - Albert Einstein
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4:41Kelly BeshearNARRATOR
Physical Meaning of Geometrical Propositions.
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4:45Kelly BeshearNARRATOR
in your school days most of you who read this book made acquaintance with the noble building of euclid's geometry and you remember perhaps with more respect than love the magnificent structure on the lofty staircase of which you were chased about for uncounted hours by conscientious teachers by reason of our past experience you would certainly regard every one with disdain who should pronounce even the most out-of-the-way proposition of this science to be untrue but perhaps this feeling of proud certainty would leave you immediately if some one were to ask you what then do you mean by the assertion that these propositions are true let us proceed to give this question a little consideration Geometry sets out from certain conceptions such as plane, point, and straight line with which we are able to associate more or less definite ideas, and from certain simple propositions or axioms which, in virtue of these ideas, we are inclined to accept as true.
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5:45Kelly BeshearNARRATOR
Then, on the basis of a logical process, the justification of which we feel ourselves compelled to admit, all remaining propositions are shown to follow from those axioms.
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5:56Kelly BeshearNARRATOR
i e they are proven a proposition is then correct or true when it has been derived in the recognized manner from the axioms the question of truth of the individual geometrical propositions is thus reduced to one of the truth of the axioms Now it has long been known that the last question is not only unanswerable by the methods of geometry, but that it is in itself entirely without meaning.
7 MINS LATER
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13:21Kelly BeshearNARRATOR
We speak of the height of the cloud, even when the pole which reaches the cloud has not been erected.
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13:27Kelly BeshearNARRATOR
By means of optical observations of the cloud from different positions on the ground, and taking into account the properties of the propagation of light, we determine the length of the pole we should have required in order to reach the cloud.
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13:38Kelly BeshearNARRATOR
From this consideration we see that it will be advantageous if, in the description of position, it should be possible by means of numerical measure to make ourselves independent of the existence of marked positions, those possessing names, on the rigid body of reference.
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13:55Kelly BeshearNARRATOR
In the physics of measurement, this is attained by the application of the Cartesian system of coordinates.
The Biography Of The Pentagram Part 4: Christian Number, The Five Wounds, and Sir Gawain
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4:15NickHOST
Mathematical demonstrations could be preserved even when the cosmologies surrounding them were challenged or abandoned.
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4:22NickHOST
Geometry could therefore cross religious boundaries more easily than many other elements of classical culture.
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4:29NickHOST
Christian theologians could reject the eternity of the cosmos while accepting the mathematical disciplines used to describe it.
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4:36NickHOST
They could deny the stars were gods while continuing to calculate their motions, oppose divination while preserving astronomy, and criticize pagan metaphysics while retaining the conviction that creation possessed order, proportion, and intelligibility.
6 MINS LATER
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11:11NickHOST
The world can function as a book because its author is also the author of scripture.
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11:15NickHOST
Natural forms, numerical patterns, animals, plants, colors, stones, and celestial motions might carry meanings when interpreted within the structure of Christian teaching.
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11:27NickHOST
Geometry, therefore, occupied an unusual position between nature and theology.
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11:32NickHOST
The geometric form was created by human hands, yet the relationships governing it were not invented arbitrarily.
Science and the Modern World-Alfred North Whitehead
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50:52speaker_2NARRATOR
Let us grant that the pursuit of mathematics is a Divine madness of the human spirit,—a refuge from the goading urgency of contingent happenings.
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51:02speaker_2NARRATOR
When we think of Mathematics we have in our mind a Science devoted to the exploration of Number, Quantity, Geometry, and in modern times also including investigation into yet more abstract concepts of order, and into analogous types of purely logical Relations.
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51:17speaker_2NARRATOR
The point of Mathematics is that in it we have always got rid of the Particular Instance, and even of any particular Sorts of Entities.
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51:24speaker_2NARRATOR
So that e.g., no Mathematical truths apply merely to fish, or merely to stones, or merely to colours.
18 MINS LATER
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69:52speaker_2NARRATOR
Between the epoch which stretches from Pythagoras to Plato and the epoch comprised in the seventeenth century of the Modern World nearly two thousand years elapsed.
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70:00speaker_2NARRATOR
In this long interval mathematics had made immense strides.
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70:04speaker_2NARRATOR
Geometry had gained the study of conic sections and trigonometry; the method of exhaustion had almost anticipated the integral calculus; and above all the Arabic arithmetical notation and algebra had been contributed by Asiatic thought.
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70:18speaker_2NARRATOR
But the progress was on technical lines.
PART 2: Mapping our New Earth Through Contact & Consciousness with Susan Manewich
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33:27Eric RankinHOST
My hypothesis and theory is that the Schumann resonance once was 9.
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33:33Eric RankinHOST
And then all geometry, man-made, extraterrestrial-made, or nature-made, is in literal harmony with this 9.
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33:44Eric RankinHOST
Because they all subtotal to nine.
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33:46Eric RankinHOST
So there's people that believe that things like the pyramids were like harmonic balancers or harmonic creators to somehow affect and hold this nine resonance where all of nature, including us, just nestles underneath it, inside of it, through it.
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34:12Eric RankinHOST
It only sounds like a difference from eight to nine hertz, one vibration cycle per second.
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34:18Eric RankinHOST
But to achieve that would be difficult in our understanding of light, speed of light in the ionosphere.
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34:24Eric RankinHOST
But to me, it makes a whole lot of sense that somebody – When extraterrestrials gave us a 360-degree circle, giving us launching all geometry, totaling nine, it would make a lot of sense to me that the Schumann Resonance was actually supposed to be or once was or could be again a perfect nine and everything just hums right inside of it then.
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34:46Susan ManewichGUEST
Mic drop.
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