In these pieces, as in almost every production of his, in lieu of melody Liszt offers fragments of melody - touching and beautiful, it may be, or passionate, or tinged with triviality; in lieu of a rational distribution of centres of harmony in accordance with some definite plan, he presents clever combinations of chords and ingenious modulations from point to point; in lieu of musical logic and consistency of design, he is content with rhapsodical improvisation.
Application of Binomial Theorem to Rational Integral Functions.
We may agree with Schimper that such a point of view is obsolete without rejecting as valueless the admirable accumulation of data of which it admittedly fails to give any rational explanation.
While complying with the terms of the Act of Uniformity, Wallis seems always to have retained moderate and rational notions of ecclesiastical polity.
But he laid too much stress on reasoning as syllogism or deduction, and on deductive science; and he laid too much stress on the linguistic analysis of rational discourse into proposition and terms. These two defects remain ingrained in technical logic to this day.
A more rational system of cropping now began to take the place of the thriftless and barbarous practice of sowing successive crops of corn until the land was utterly exhausted, and then leaving it foul with weeds to recover its power by an indefinite period of rest.
But in early Christianity this latter antithesis was as yet undeveloped; faith means simply force in clinging to moral and religious conviction, whatever their rational grounds may be; this force, in the Christian consciousness, being inseparably bound up with personal loyalty and trust towards Christ, the leader in the battle with evil, the ruler of the kingdom to be realized.
If, how ever, it be argued by libertarians that no explanation is possible of the manner in which the self or the will makes its decisions and inclines to this motive or to that, while they still assert the independent existence of the self or will, then they are undoubtedly open to the retort of their opponents that upon such a theory no rational explanation of conduct will be possible.
So long as theological truth is divided into the two compartments of natural or rational theology and incomprehensible revealed mysteries, there is no possibility of carrying through a unity of principle.
Even in the animal world, the highest stage of nature, he saw a failure to reach an independent and rational system of organization; and its feelings under the continuous violence and menaces of the environment he described as insecure, anxious and unhappy.