He goes beyond phenomenal sequences, it is impossible to fling him aside unheard.
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.
If we accept moral ideals at all, we are no longer in the world of mere phenomenal sequences, but in a new world.
In both cases the dependence is clearly on the part of Peter; for ideas and phrases that in Ephesians and Romans have their firm place in closely wrought sequences, are found in 1 Peter with less profound significance and transformed into smooth and pointed maxims and apophthegmatic sentences.
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.
The theory of sequences and series is sometimes treated as a part of elementary algebra; but it is more convenient to regard the simpler cases as isolated examples, leading up to the general theory.
It colours all his writings, and is intimately connected with some of the most characteristic attributes of his mind, a quick sympathetic imagination, a fine feeling for local differences, and a scientific instinct for seizing the sequences of cause and effect.
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.
That sense only gives to experience coexistences and sequences of appearances, as Hume said and Kant allowed, is also Wundt's startingpoint.
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.
It may also be aided, to a certain extent, by the tendency to find rhythms in sequences of sounds.
Analytical investigations revealed the existence of series or sequences which had no limit to the number of terms, as for example the fraction 1/(1 - x) which on division gives the series.
Anything, as far as " constant observation " tells us, might a priori have been the natural cause of anything; and no finite number of " observed " sequences, per se, can guarantee universality and necessity.
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.
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.
It is a problem for empiricism; given a world where nothing but phenomenal sequences exist, to account for moral ideals.
It is usual, however, to confine it to those sequences (e.g.
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.
.; the discussion of these so-called infinite sequences is given in the articles Series and Function.
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.
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.
Various chemists had traced numerical sequences among the atomic weights of some of the elements and noted connexions between them and the properties of the different substances; but it was left to him to give a full expression to the generalization, and to treat it not merely as a system of classifying the elements according to certan observed facts, but as a "law of nature" which could be relied upon to predict new facts and to disclose errors in what were supposed to be old facts.
The commencement of the Carboniferous period is marked by a mass of limestones known as the Carboniferous or Sequences Mountain Limestone,which contains a large assemblage of carbon- of marine fossils, and has a maximum thickness in iferous S.W.
For the algebraic theory of number, and the convergence of sequences and of series, see T.
The four epochs or culture-sequences of G.