Instead, the trail was an illogical hodgepodge of unrelated sequences that had skipped forward until evaporating someplace west of Hays, Kansas.
For the algebraic theory of number, and the convergence of sequences and of series, see T.
Earlier And Later Writings Aristotle's quotations of his other books and of historical facts only inform us at best of the dates of isolated passages, and cannot decide the dates and sequences of whole philosophical books which occupied him for many years.
Further discoveries have resulted in the division of the Palaeolithic Age into various epochs or sequences according to the faunas associated with the implements or the localities where found.
Similarly the modern attempt upon the part of psychology to analyse (under whatever limitations and with whatever object of inquiry) all the forms and processes of human consciousness has inevitably led to an examination of the consciousness of human freedom: while the postulate of most modern psychologists that conscious processes are not to be considered as removed from the sphere of those necessary causal sequences with which science deals, produces, if the consciousness of freedom be admitted as a fact of mental history, the old metaphysical difficulty in a new and highly specialized form.
We readily recognize in them nowadays the natural classes of Dicotyledons and Monocotyledons distinguished alike in vegetative and in reproductive construction, yet showing remarkable parallel sequences in development; and we see that the Dicotyledons are the more advanced and show the greater capacity for further progressive evolution.
And until the determinist can successfully explain to us how in a world obeying throughout its history necessary laws and limited in its nature to the exhibition of causal sequences the consciousness of freedom could ever have arisen, we may be content to trust the immediate affirmation of our moral selves.
Within the domain of consciousness introspective analysis is unable to discover those chains of necessary sequences which it is the province of science to investigate in the physical world.
Within each class the flower-characters as the essential feature of Angiosperms supply the clue to phylogeny, but the uncertainty regarding the construction of the primitive angiospermous flower gives a fundamental point of divergence in attempts to construct progressive sequences of the families.
The mistake of earlier advocates of determinism lay in the supposition that self-conscious moral action could be explained by the use of the same categories and upon the same hypotheses usually considered sufficient to explain the causal sequences observable in the physical world.