One finds in this subject a kind of demonstration which does not carry with it so high a degree of certainty as that employed in geometry; and which differs distinctly from the method employed by geometers in that they prove their propositions by well-established and incontrovertible principles, while here principles are tested by inferences which are derivable from them. The nature of the subject permits of no other treatment. It is possible, however, in this way to establish a probability which is little short of certainty. This is the case when the consequences of the assumed principles are in perfect accord with the observed phenomena, and especially when these verifications are numerous; but above all when one employs the hypothesis to predict new phenomena and finds his expectations realized.
Christiaan HuygensRelated topics
above carry case certainty degree geometry high hypothesis kind nature perfect possible predict probability prove short way whileRelated quotes
The "universe" is an hypothesis, like the atom, and must be allowed the freedom to have properties and to do things which would be contradictory and impossible for a finite material structure. What we observe are the stars and nebulae constituting "our neighbourhood." All that goes beyond that, in time or in space, or both, is pure extrapolation. The conclusions derived about the expanding universe depend on the assumed homogeneity and isotropy, i. e. on the hypothesis that the observed finite material density and expansion of our neighbourhood are not local phenomena, but properties of the "universe." It is not inconceivable that this hypothesis may at some future stage of the development of science have to be given up, or modified, or at least differently interpreted.
Willem de Sitter
Dada is a farce, a legend, a state of myth. A badly behaved myth whose subterranean survival and capricious manifestation upset everyone.. .The aesthetic of absolute negativity has been changed into methodical doubt, thanks to which it will finally be able to incarnate new signs.. .After the NO and the ZERO, there is a third position for the myth; the anti-art gesture of Marcel Duchamp has been charged with positive energy. The Dada spirit identifies itself with a method of appropriation of exterior reality of the modern world.. .The ready-made is no longer the height of negativity or of polemic, but the basis element of a new expressive repertoire. Such is the New Realism: a direct means for getting one's feet back on the ground but at 40 degree above Dada zero.
Gerhard Richter
I adopt Mr. Darwin's hypothesis, therefore, subject to the production of proof that physiological species may be produced by selective breeding; just as a physical philosopher may accept the undulatory theory of light, subject to the proof of the existence of the hypothetical ether; or as the chemist adopts the atomic theory, subject to the proof of the existence of atoms; and for exactly the same reasons, namely, that it has an immense amount of primâ facie probability: that it is the only means at present within reach of reducing the chaos of observed facts to order; and lastly, that it is the most powerful instrument of investigation which has been presented to naturalists since the invention of the natural system of classification and the commencement of the systematic study of embryology.
Thomas Henry Huxley
I am presently at work on a dissertation dealing with the theory of international trade and foreign exchange rates. In dealing with this, studies of the intervention of recent years in the area of trade and exchange rates of different countries is of the greatest importance. I therefore hope to be able to begin a six month study tour to Switzerland, France and England at the end of May this year. After having collected the necessary material I intend - if the economic side can be arranged - during a stay of 6–12 months in England (probably Cambridge) or possibly the United States (in that case probably Harvard University) - to work out the above mentioned dissertation as a specimen for the doctoral degree in philosophy and pursue studies in general. I have not yet any detailed study plan. That should appropriately be set up after the arrival.
Bertil Ohlin
The Doomsday Machine is not sufficiently controllable. Even though it maximizes the probability that deterrence will work (including minimizing the probability of accidents or miscalculations), it is totally unsatisfactory. One must still examine the consequences of a failure. In this case a failure kills too many people and kills them too automatically. There is no chance of human intervention, control, and final decision.And even if we give up the computer and make the Doomsday Machine reliably controllable by the decision makers, it is still not controllable enough. Neither NATO nor the United States, and possibly not even the Soviet Union, would be willing to spend billions of dollars to give a few individuals this particular kind of life and death power over the entire world.
Herman Kahn