Through algebra you easily arrive at equations, but always to pass therefrom to the elegant constructions and demonstrations which usually result by means of the method of porisms is not so easy, nor is one's ingenuity and power of invention so greatly exercised and refined in this analysis.
Theories of genius are the peculiar constructions of our own philosophical times; ages of genius had passed away, and they left no other record than their works; no preconcerted theory described the workings of the imagination to be without imagination, nor did they venture to teach how to invent invention.isaac d'israeli
The truthfulness of materials of constructions, concrete, bricks and stone, shall be maintained in all buildings constructed or to be constructed.The seed of Chandigarh is well sown. It is for the citizens to see that the tree flourishes.le corbusier
These collages were static symmetrical constructions, porticos with pathetic vegetation, the gateway to the realm of dreams. They were done with colored paper in black, orange or blue dye plates. Although cubist painting interested me very much, not a trace of their influence was to be found in my collages.hans arp
General Systems Theory is a name which has come into use to describe a level of theoretical model-building which lies somewhere between the highly generalized constructions of pure mathematics and the specific theories of the specialized disciplines. Mathematics attempts to organize highly general relationships into a coherent system, a system however which does not have any necessary connections with the "real" world around us. It studies all thinkable relationships abstracted from any concrete situation or body of empirical knowledge.kenneth boulding
Each worldview was a cultural product, but evolution is true and separate creation is not. […] Worldviews are social constructions, and they channel the search for facts. But facts are found and knowledge progresses, however fitfully. Fact and theory are intertwined, and all great scientists understand the interaction.stephen jay gould
Il ne faut pas comparer la marche de la science aux transformations d’une ville, où les édifices vieillis sont impitoyablement jetés à bas pour faire place aux constructions nouvelles, mais à l’évolution continue des types zoologiques qui se développent sans cesse et finissent par devenir méconnaissables aux regards vulgaires, mais où un œil exercé retrouve toujours les traces du travail antérieur des siècles passés. Il ne faut donc pas croire que les théories démodées ont été stériles et vaines.henri poincaré
The supreme maxim in scientific philosophising is this: wherever possible, logical constructions are to be substituted for inferred entities.bertrand russell
She well knew the great architectural secret of decorating her constructions, and never descended to construct a decoration.Anthony Trollope
To confuse our own constructions and inventions with eternal laws or divine decrees is one of the most fatal delusions of men.
The Egyptians must have made use of the above theorems on the straight line, in some of their constructions found in the Ahmes papyrus, but it was left for the Greek philosopher to give these truths, which others saw, but did not formulate into words, an explicit abstract expression, and to put into scientific language and subject to proof that which others merely felt to be true.
The Narad Bhakthi Sutra takes a leap immediately into the doctrine of devotion and analyses its various aspects, and sets a ban against mere philosophical constructions.
The rule is derived inductively from experience , therefore does not have any inner necessity, is always valid only for special cases and can anytime be refuted by opposite facts . On the contrary, the law is a logical relation between conceptual constructions; it is therefore deductible from upper [übergeordnete] laws and enables the derivation of lower laws; it has as such a logical necessity in concordance with its upper premises; it is not a mere statement of probability, but has a compelling, apodictic logical value once its premises are accepted
About the time of Anaxagoras, but isolated from the Ionic school, flourished Œnopides of Chios. Proclus ascribes to him the solution of the following problems: From a point without, to draw a perpendicular to a given line, and to draw an angle on a line equal to a given angle. That a man could gain a reputation by solving problems so elementary as these, indicates that geometry was still in its infancy, and that the Greeks had not yet gotten far beyond the Egyptian constructions.
General Systems Theory is a name which has come into use to describe a level of theoretical model-building which lies somewhere between the highly generalized constructions of pure mathematics and the specific theories of the specialized disciplines. Mathematics attempts to organize highly general relationships into a coherent system, a system however which does not have any necessary connections with the "real" world around us. It studies all thinkable relationships abstracted from any concrete situation or body of empirical knowledge.