Unfortunately such allusion to these disconnected certainties as alone might be introduced here would be too brief for comprehension, and we are forced to select a few of the broader hypotheses for a treatment that may seem dogmatic and prejudiced.
Under any of these hypotheses the address would indicate that we have a circular letter, written to a group of churches, doubtless in Asia Minor.
And the determinism of modern science no longer consists in a crude denial of the reality of conscious processes, or an attempt to explain them as only a sublimated form of matter and its movements; it is content to admit the relative independence of the world of consciousness, while it maintains that laws and hypotheses sufficient to explain material processes may be extended to and will be discovered to be valid of the changing sequences of conscious states of mind.
In pure mathematics the hypotheses which a set of entities are to satisfy are given, and a group of interesting deductions are sought.
It is only when we remember the extensive and mischievous influence on science which hypotheses about aethers used formerly to exercise, that we can appreciate the horror of aethers which sober-minded men had during the 18th century, and which, probably as a sort of hereditary prejudice, descended even to John Stuart Mill.
In most cases the interpretation of the facts is far from obvious, and we have to try several hypotheses before we reach one which will bear the strain of a critical examination in the light of further evidence.
In the worst case scenario of the hypothesis, the model maker is forced just to formulate hypotheses about them.
Bradley and Molyneux discussed several hypotheses in the hope of fixing the solution.
As early as 1860 Newcomb communicated an important memoir to the American Academy, 4 On the Secular Variations and Mutual Relation of the Orbits of the Asteroids, in which he discussed the two principal hypotheses to account for the origin of these bodies - one, that they are the shattered fragments of a single planet (Olbers' hypothesis), the other, that they have been formed by the breaking up of a revolving ring of nebulous matter.
Henser, Bencke, Adami, Marchand and others have also put forward hypotheses to account for the origin of new growths.