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Objects Quotes

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Objects Quotes

“A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales...”

Science Objects Definitions Scales Mathematical Concrete Fragmented Fractals

Author:Benoit Mandelbrot

“I do not define time, space, place, and motion, as being well known to all. Only I must observe, that the common people conceive those quantities under no other notions but from the relation they bear to sensible objects. And thence arise certain prejudices, for the removing of which it will be convenient to distinguish them into absolute and relative, true and apparent, mathematical and common.”

Source: Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World: The motion of bodies

“The effects of heat are subject to constant laws which cannot be discovered without the aid of mathematical analysis. The object of the theory is to demonstrate these laws; it reduces all physical researches on the propagation of heat, to problems of the integral calculus, whose elements are given by experiment. No subject has more extensive relations with the progress of industry and the natural sciences; for the action of heat is always present, it influences the processes of the arts, and occurs in all the phenomena of the universe.”

“If we have dwelled on Godel's work at some length, is it because we see it in the mathematical analogy of what we would call the the ultimate paradox of man's existence. Man is ultimately subject and object of his quest. While the question whether the mind can be considered to be anything like a formalized system, as defined in the preceding paragraph, is probably unanswerable, his quest for an understanding of the meaning of his existence is an attempt at formalization.”

Ifs Men Mind Understanding Existence Atheism Subjects Objects Ultimate Positive Atheism Defined Mathematical Length Paradox Quests Analogies Paragraph

Author:Paul Watzlawick

“The goal of a definition is to introduce a mathematical object. The goal of a theorem is to state some of its properties, or interrelations between various objects. The goal of a proof is to make such a statement convincing by presenting a reasoning subdivided into small steps each of which is justified as an "elementary" convincing argument.”

States Goal Steps Objects Argument Mathematics Property Definitions Various Proof Statements Mathematical Reasoning Introducing Justified Convincing Presenting Theorems Small Steps

Author:IU?. I. Manin

“As we speak of poetical beauty, so ought we to speak of mathematical beauty and medical beauty. But we do not do so; and that reason is that we know well what is the object of mathematics, and that it consists in proofs, and what is the object of medicine, and that it consists in healing. But we do not know in what grace consists, which is the object of poetry.”

Knows Wells Reason Poetry Speak Healing Beauty Grace Objects Poet Ought Mathematics Medicine Proof Medical Mathematical Poetry Is Mathematical Beauty

Book:Thoughts, Letters & Minor Works

Source: Thoughts, Letters & Minor Works

“Maybe because I can't even put together an IKEA desk, I've never been tempted to think of my own poems as built objects - but I do sometimes imagine them as mathematical constructs.”

Thinking I Can Sometimes Together My Own Imagine Objects Built Mathematical Desks Constructs Tempted Because I Can Ikea

Author:James Arthur

“The nude gains its enduring value from the fact that it reconciles several contrary states. It takes the most sensual and immediately interesting object, the human body, and puts it out of reach of time and desire; it takes the most purely rational concept of which mankind is capable, mathematical order, and makes it a delight to the senses; and it takes the vague fears of the unknown and sweetens them by showing that the gods are like men and may be worshiped for their life-giving beauty rather than their death-dealing powers.”

“In studying the action of the Analytical Engine, we find that the peculiar and independent nature of the considerations which in all mathematical analysis belong to operations, as distinguished from the objects operated upon and from the results of the operations performed upon those objects, is very strikingly defined and separated.”

Action Results Study Objects Independent Defined Mathematical Operations Analysis Consideration Peculiar Engines Distinguished Mathematical Analysis

Author:Ada Lovelace

“The immediacy of mystic experience simply means that we know God just as we know other objects. God is not a mathematical entity or a system of concepts mutually related to one another and having no reference to experience.”

Knows Mean Literature Objects Concepts Mathematical Related Entity Knowing God Mystic Immediacy

Book:The religious thought in Islam

Source: The religious thought in Islam

“Photography does not form a separate, barren field of art. It is only a means of execution, uniform, rapid and sure, which serves the artist by reproducing with mathematical precision the form and effect of objects and even that poetry which at once arises from any harmonious combination.”

Mean Doe Art Form Artist Effects Fields Objects Photography Arise Mathematical Combination Execution Uniforms Rapids Harmonious Precision Barren Reproducing

Author:Charles Negre