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[[Category:Hypotheses]] ...

...olved in disagreeable controversies. ...Newton could no more dispense with hypotheses in his own cogitations than an eagle can dispense with flight. Nor did Newt ...

=== On the Hypotheses which lie at the Bases of Geometry (1873) === ...t same work, as for example, of the famous ''Habilitationschrift'' on "The Hypotheses that Form the Foundations of Geometry." Riemann was indeed distinctly a ''p ...

...ion, as if his opinion would finally settle the matter. He '''examines the hypotheses of Galilei and Mariotte, and finding that there is always flexure before ru ...ders that it is possible to state a general formula which will include the hypotheses of both Galilei and Mariotte, but... it will''' [in most practical cases] ' ...

...length). Lambert arrived at no definite conclusion on the validity of the hypotheses of the obtuse and acute angles. ...ry the discovery of the two non-euclidean geometries which follow from his hypotheses of the obtuse and the acute angle. ...

...Business of natural Philosophy is to argue from Phenomena without feigning Hypotheses, and to deduce Causes from Effects, till we come to the very first Cause, w ...

...wn constitution of matter into consideration.<br />...this accumulation of hypotheses postulated ''[[wiktionary:ad_hoc#Adverb|ad hoc]]'' makes it painfully artif ...

...ntalist, and errors on the part of the mathematician, chiefly in adopting hypotheses not clearly established or... discredited, in pushing to extremes methods m ...s, known as the first approximations and commonly termed the Kirchoff-Love hypotheses... ...

...Business of natural Philosophy is to argue from Phenomena without feigning Hypotheses, and to deduce Causes from Effects, till we come to the very first Cause, w ...

...were to forego every [[hypothesis]]. Only we must not demand too much from hypotheses.'''<!--p. 413--> ...bjected that the above is nothing more than a series of imperfectly proved hypotheses. But granting its improbability, it suffices that this explanation is not i ...

...the case of electrodynamic phenomena, however, in view of the complicated hypotheses which he was compelled to postulate, Maxwell abandoned all attempts to disc ...

...pses of the [[moon]] than of the [[sun]].''' ...Aristotle regarded the two hypotheses as of the same nature.<!--pp. 349-350--> ...body. ...[A]gain ...the '''Pythagoreans tried to simplify the [[Hypothesis|hypotheses]] of ...predecessors.'''<!--p. 350--> ...

* Of the nature of heat uncertain hypotheses only could be formed, but the knowledge of the mathematical laws to which i ...

...requiring demonstration freed from untenable assumptions or undemonstrable hypotheses. Daring as he was, at least in his earlier days, in the application of anal ...

...atever is not deduced from the phenomena is to be called a hypothesis, and hypotheses, whether metaphysical or physical, whether of occult qualities or mechanica ...

...tions and draw conclusions from them, and agreeably laying down a very few hypotheses, such as are in the highest degree consonant with reason and not to be deni ...

...the same facts, that one is true which shows why facts, which in the other hypotheses remain unrelated, are as they are, i.e., which demonstrates their orderly a ...

...hipped logically sounder than Euclid's greatly overrated ''Elements''. The hypotheses of elementary algebra are fewer and simpler than those of synthetic geometr ...

...ay form, by help of this assumption, actual beliefs; beyond it, only those hypotheses which serve for the more accurate asking of questions. ...

...hipped logically sounder than Euclid's greatly overrated ''Elements''. The hypotheses of elementary algebra are fewer and simpler than those of synthetic geometr ...