A Quote by Colin Maclaurin
ALGEBRA is a general Method of Computation by certain Signs and Symbols which have been contrived for this Purpose, and found convenient.
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Society, by insisting on conventions, has merely insisted on certain convenient signs by which we may know that a man is considering, in daily life, the comfort of other people.
[The doctrine of air] I was led into in consequence of inhabiting a house adjoining to a public brewery, where I at first amused myself with making experiments on the fixed air [carbon dioxide] which I found ready made in the process of fermentation . When I removed from that house I was under the necessity of making the fixed air for myself; and one experiment leading to another, as I have distinctly and faithfully noted in my various publications on the subject, I by degrees contrived a convenient apparatus for the purpose, but of the cheapest kind.
Propaganda tries first of all to create conditioned reflexes in the individual so that certain words, signs, or symbols, even certain persons or facts, provoke unfailing reactions...The important thing is that when the time is ripe, the individual can be thrown into action by the utilization of the psychological levers that have been set up.
Everyone is looking for a purpose in life. The reason we all go to the cinema, or online, is because we haven't found a purpose yet. We are always wondering why we're here. But I've learned that we have to create that purpose for ourselves. My purpose, which I finally found thanks to social media, is helping all of these people find their purpose.
One main reason why the separate nature of the science of operations has been little felt, and in general little dwelt on, is the shifting meaning of many of the symbols used in mathematical notation. First, the symbols of operation are frequently also the symbols of the results of operations.
We think only through the medium of words. Languages are true analytical methods. Algebra, which is adapted to its purpose in every species of expression, in the most simple, most exact, and best manner possible, is at the same time a language and an analytical method. The art of reasoning is nothing more than a language well arranged.
Algebra reverses the relative importance of the factors in ordinary language. It is essentially a written language, and it endeavors to exemplify in its written structures the patterns which it is its purpose to convey. The pattern of the marks on paper is a particular instance of the pattern to be conveyed to thought. The algebraic method is our best approach to the expression of necessity, by reason of its reduction of accident to the ghostlike character of the real variable.
The mystic must be steadily told,-All that you say is just as true without the tedious use of that symbol as with it. Let us have a little algebra, instead of this trite rhetoric,-universal signs, instead of these village symbols,-and we shall both be gainers. The history of hierarchies seems to show that all religious error consisted in making the symbol too stark and solid, and was at last nothing but an excess of the organ of language.
For there is a great difference in delivery of the mathematics , which are the most abstracted of knowledges, and policy , which is the most immersed. And howsoever contention hath been moved , touching a uniformity of method in multiformity of matter, yet we see how that opinion, besides the weakness of it, hath been of ill desert towards learning, as that which taketh the way to reduce learning to certain empty and barren generalities; being but the very husks and shells of sciences, all the kernel being forced out and expulsed with the torture and press of the method.
Standard mathematics has recently been rendered obsolete by the discovery that for years we have been writing the numeral five backward. This has led to reevaluation of counting as a method of getting from one to ten. Students are taught advanced concepts of Boolean algebra, and formerly unsolvable equations are dealt with by threats of reprisals.
To lay taxes to provide for the general welfare of the United States, that is to say, 'to lay taxes for the purpose of providing for the general welfare.' For the laying of taxes is the power, and the general welfare the purpose for which the power is to be exercised. They are not to lay taxes ad libitum for any purpose they please; but only to pay the debts or provide for the welfare of the Union.
The society of merchants can be defined as a society in which things disappear in favor of signs. When a ruling class measures its fortunes, not by the acre of land or the ingot of gold, but by the number of figures corresponding ideally to a certain number of exchange operations, it thereby condemns itself to setting a certain kind of humbug at the center of its experience and its universe. A society founded on signs is, in its essence, an artificial society in which man's carnal truth is handled as something artificial.
We may always depend on it that algebra, which cannot be translated into good English and sound common sense, is bad algebra.
When we find ourselves unable to reason (as one often does when presented with, say, a problem in algebra) it is because our imagination is not touched. One can begin to reason only when a clear picture has been formed in the imagination. Bad teaching is teaching which presents an endless procession of meaningless signs, words and rules, and fails to arouse the imagination.
A residual sea of symbols which is shared by all mankind, usually accessed through dreams or altered states, and from which cultures draw images on which to found their religions.
When we trace the part of which this terrestrial system is composed, and when we view the general connection of those several parts, the whole presents a machine of a peculiar construction by which it is adapted to a certain end. We perceive a fabric, erected in wisdom, to obtain a purpose worthy of the power that is apparent in the production of it.
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