Science

"The idea that God may be approached and understood through intellectual analysis is uniquely Christian. ...It is probably not an accident that modern science grew explosively in Christian Europe and left the rest of the world behind."

"The fact that all Mathematics is Symbolic Logic is one of the greatest discoveries of our age; and when this fact has been established, the remainder of the principles of mathematics consists in the analysis of Symbolic Logic itself."

"In mathematics there is a certain way of seeking the truth, a way which Plato is said first to have discovered and which was called "analysis" by Theon and was defined by him as "taking the thing sought as granted and proceeding by means of what follows to a truth which is uncontested"; so, on the other hand, "synthesis" is "taking the thing that is granted and proceeding by means of what follows to the conclusion and comprehension of the thing sought." And although the ancients set forth a twofold analysis, the zetetic and the poristic, to which Theon's definition particularly refers, it is nevertheless fitting that there be established also a third kind, which may be called rhetic or exegetic, so that there is a zetetic art by which is found the equation or proportion between the magnitude that is being sought and those that are given, a poristic art by which from the equation or proportion the truth of the theorem set up is investigated, and an exegetic art by which from the equation set up or the proportion, there is produced the magnitude itself which is being sought. And thus, the whole threefold analytic art, claiming for itself this office, may be defined as the science of right finding in mathematics. ...the zetetic art does not employ its logic on numbers—which was the tediousness of the ancient analysts—but uses its logic through a logistic which in a new way has to do with species [of number]..."

"François Viète, In Artem Aanalyticem Isagoge (1591) Ch. 1, as quoted by Jacob Klein, Greek Mathematical Thought and the Origin of Algebra (1934-1936) Appendix"

"The word Analysis signifies the general and particular heads of a discourse, with their mutual connections, both co-ordinate and subordinate, drawn out into one or more tables."

"Poetry is the synthesis of hyacinths and biscuits."

"We are approaching a new age of synthesis. Knowledge cannot be merely a degree or a skill... it demands a broader vision, capabilities in critical thinking and logical deduction without which we cannot have constructive progress."

"Enhance and intensify one's vision of that synthesis of truth and beauty which is the highest and deepest reality."

"By this way of Analysis we may proceed from Compounds to Ingredients, and from Motions to the Forces producing them; and in general, from Effects to their Causes, and from particular Causes to more general ones, till the Argument end in the most general. This is the Method of Analysis: and the Synthesis consists in assuming the Causes discover'd, and establish'd as Principles, and by them explaining the Phænomena proceeding from them, and proving the Explanations."

"Analysis and synthesis ordinarily clarify matters for us about as much as taking a Swiss watch apart and dumping its wheels, springs, hands, threads, pivots, screws and gears into a layman's hands for reassembling, clarifies a watch to a layman."

"The world is a very strange place, and there are times when the metaphorical or narrative description characteristic of culture and the material representation so integral to science appear to touch, when everything comes together—when life and art reflect each other equally."

"Every truth has relation to some other. And we should try to write the facts of our knowledge so as to see them in their several bearings. This we do when we frame them into a system. To do so legitimately, we must begin by analysis and end with synthesis."

"Designer is defined as an emerging synthesis of artist, inventor, mechanic, objective economist and evolutionary strategist."

"I have no fault to find with those who teach geometry. That science is the only one which has not produced sects; it is founded on analysis and on synthesis and on the calculus; it does not occupy itself with the probable truth; moreover it has the same method in every country."

"The most dramatic moments in the development of physics are those in which great syntheses take place, where phenomena which previously had appeared to be different are suddenly discovered to be but different aspects of the same thing. The history of physics is the history of such syntheses, and the basis of the success of physical science is mainly that we are able to synthesize."

"Man is a synthesis of psyche and body, but he is also a synthesis of the temporal and the eternal. In the former, the two factors are psyche and body, and spirit is the third, yet in such a way that one can speak of a synthesis only when the spirit is posited. The latter synthesis has only two factors, the temporal and the eternal. Where is the third factor? And if there is no third factor, there really is no synthesis, for a synthesis that is a contradiction cannot be completed as a synthesis without a third factor, because the fact that the synthesis is a contradiction asserts that it is not. What, then, is the temporal?"

"Synthetic method is that which begins with the parts, and leads onward to the knowledge of the whole : it begins with the most simple principles and general truths, and proceeds by degrees to that which is drawn from them, or compounded of them ; and therefore it is called the method of composition."

"Our movement took a grip on cowardly Marxism and from it extracted the meaning of socialism. It also took from the cowardly middle-class parties their nationalism. Throwing both into the cauldron of our way of life there emerged, as clear as a crystal, the synthesis -- German National Socialism. Nazism as cocktail of Marxism and bourgeois nationalism: a toxic brew indeed."

"There are many reasons for carrying out the laboratory synthesis of an organic compound. In the pharmaceutical industry, new molecules are designed and synthesized in the hope that some might be useful new drugs. In the chemical industry, syntheses are done to devise more economical routes to known compounds. In academic laboratories, the synthesis of extremely complex molecules is sometimes done just for the intellectual challenge involved in mastering so difficult a subject. The successful synthesis route is a highly creative work that is sometimes described by such subjective terms as elegant or beautiful."

"The artist does not illustrate science; … [but] he frequently responds to the same interests that a scientist does, and expresses by a visual synthesis what the scientist converts into analytical formulae or experimental demonstrations."

"Analysis and synthesis, though commonly treated as two different methods, are, if properly understood, only the two necessary parts of the same method. Each is the relative and correlative of the other. Analysis, without a subsequent synthesis, is incomplete ; it is a mean cut of from its end. Synthesis, without a previous analysis, is baseless ; for synthesis receives from analysis the elements which it recomposes."

"Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Though different traditions may emphasize different aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science."

"Science is spectral analysis. Art is light synthesis."

"Chemical synthesis is one of the key technologies that form the basis of modern drug discovery and development. For the rapid preparation of new test compounds and the development of candidates with often highly complex chemical structures, it is essential to use state-of-theart chemical synthesis technologies."

"An example of such emergent phenomena is the origin of life from non-living chemical compounds in the oldest, lifeless oceans of the earth. Here, aided by the radiation energy received from the sun, countless chemical materials were synthesized and accumulated in such a way that they constituted, as it were, a primeval “soup.” In this primeval soup, by infinite variations of lifeless growth and decay of substances during some billions of years, the way of life was ultimately reached, with its metabolism characterized by selective assimilation and dissimulation as end stations of a sluiced and canalized flow of free chemical energy."

"The terms synthesis and analysis are used in mathematics in a more special sense than in logic. In ancient mathematics they had a different meaning from what they now have. The oldest definition of mathematical analysis as opposed to synthesis is that given in Euclid, XIII. 5, which in all probability was framed by Eudoxus: "Analysis is the obtaining of the thing sought by assuming it and so reasoning up to an admitted truth; synthesis is the obtaining of the thing sought by reasoning up to the inference and proof of it.""

"The synthesis of pure, calming food is breathing pure air, listening to good sounds, looking at good sights, and touching pure objects."

"The world is not dialectical -- it is sworn to extremes, not to equilibrium, sworn to radical antagonism, not to reconciliation or synthesis. This is also the principle of evil."

"There is neither spirit nor matter in the world; the stuff of the universe is spirit-matter. No other substance but this could produce the human molecule. I know very well that this idea of spirit-matter is regarded as a hybrid monster, a verbal exorcism of a duality which remains unresolved in its terms. But I remain convinced that the objections made to it arise from the mere fact that few people can make up their minds to abandon an old point of view and take the risk of a new idea. … Biologists or philosophers cannot conceive a biosphere or noosphere because they are unwilling to abandon a certain narrow conception of individuality. Nevertheless, the step must be taken. For in fact, pure spirituality is as unconceivable as pure materiality. Just as, in a sense, there is no geometrical point, but as many structurally different points as there are methods of deriving them from different figures, so every spirit derives its reality and nature from a particular type of universal synthesis."

"Building art is a synthesis of life in materialised form. We should try to bring in under the same hat not a splintered way of thinking, but all in harmony together."

"Either one or the other [analysis or synthesis] may be direct or indirect. The direct procedure is when the point of departure is known-direct synthesis in the elements of geometry. By combining at random simple truths with each other, more complicated ones are deduced from them. This is the method of discovery, the special method of inventions, contrary to popular opinion."

"There is synthesis when, in combining therein judgments that are made known to us from simpler relations, one deduces judgments from them relative to more complicated relations. There is analysis when from a complicated truth one deduces more simple truths."

"Love is the affinity which links and draws together the elements of the world... Love, in fact, is the agent of universal synthesis."

"Get the habit of analysis- analysis will in time enable synthesis to become your habit of mind."

"Life is not found in atoms or molecules or genes as such, but in organization; not in symbiosis but in synthesis."

"A man ... has two antagonists: the first presses him from behind, from the origin. The second blocks the road ahead. He gives battle to both. To be sure, the first supports him in his fight with the second, for he wants to push him forward, and in the same way the second supports him in his fight with the first, since he drives him back. But it is only theoretically so. For it is not only the two antagonists who are there, but he himself as well, and who really knows his intentions? His dream, though, is that some time in an unguarded moment and this would require a night darker than any night has ever been yet he will jump out of the fighting line and be promoted, on account of his experience in fighting, to the position of umpire over his antagonists in their fight with each other."

"To play chess on a truly high level requires a constant stream of exact, informed decisions, made in real time and under pressure from your opponent. What’s more, it requires a synthesis of some very different virtues, all of which are necessary to good decisions: calculation, creativity and a desire for results. If you ask a Grandmaster, an artist and a computer scientist what makes a good chess player, you’ll get a glimpse of these different strengths in action."

"The overall yield in a multistep step synthesis is the product of the yields for each separate step. In a linear synthetic scheme, the hypothetical TM is assembled in a stepwise manner. … Since the overall yield of the TM decreases as the number of individual steps increases, a convergent synthesis should be considered in which two or more fragments of the TM are prepared separately and then joined at the latest-possible stage of the synthesis. It should be noted, however, that the simple overall yield calculation is some- what misleading since it is computed on one starting material, whereas several are used and the number of reactions is the same! Nevertheless, the increased efficiency of a convergent synthesis compared to the linear approach is derived from the fact that the preparation of a certain amount of a product can be carried out on a smaller scale."

"We generalize from one situation to another not because we cannot tell the difference between the two situations but because we judge that they are likely to belong to a set of situations having the same consequence."

"For my part I distrust all generalizations about women, favorable and unfavorable, masculine and feminine, ancient and modern; all alike, I should say, result from paucity of experience."

"Crude classifications and false generalizations are the curse of organized life."

"The English have all the material requisites for the revolution. What they lack is the spirit of generalization and revolutionary ardour."

"Men are more apt to be mistaken in their generalizations than in their particular observations."

"Law is the continuous manifestation of God's presence — not reason for believing him absent. Great confusion arises from our using the same word law in two totally distinct senses … as the cause and the effect. It is said that to "explain away" everything by law is to enable us to do without God. But law is no explanation of anything; law is simply a generalization, a category of facts. Law is neither a cause, nor a reason, nor a power, nor a coercive force. It is nothing but a general formula, a statistical table. Law brings us continually back to God instead of carrying us away from him."

"An extra-terrestrial philosopher, who had watched a single youth up to the age of twenty-one and had never come across any other human being, might conclude that it is the nature of human beings to grow continually taller and wiser in an indefinite progress towards perfection; and this generalization would be just as well founded as the generalization which evolutionists base upon the previous history of this planet."

"The word generalization in literature usually means covering too much territory too thinly to be persuasive, let alone convincing. In science, however, a generalization means a principle that has been found to hold true in every special case. … The principle of leverage is a scientific generalization."

"Even the recognition of an individual whom we see every day is only possible as the result of an abstract idea of him formed by generalization from his appearances in the past."

"The highest of generalizations is the synergetic integration of truth and love."

"Only the great generalizations survive. The sharp words of the Declaration of Independence, lampooned then and since as "glittering generalities," have turned out blazing ubiquities that will burn forever and ever."

"A poet once said, "The whole universe is in a glass of wine." We will probably never know in what sense he meant that, for poets do not write to be understood. But it is true that if we look at a glass of wine closely enough we see the entire universe. There are the things of physics: the twisting liquid which evaporates depending on the wind and weather, the reflections in the glass, and our imagination adds the atoms. The glass is a distillation of the Earth's rocks, and in its composition we see the secrets of the universe's age, and the evolution of stars. What strange arrays of chemicals are in the wine? How did they come to be? There are the ferments, the enzymes, the substrates, and the products. There in wine is found the great generalization: all life is fermentation."