(d) The correlative process of Combination is less elaborately sketched, but in a luminous passage in the Politicus (§ 278), in explaining by means of an example the nature and of examples, Plato represents it as the bringing use P ?
By the method of reciprocal polars) deduce from it the other, but we do at one and the same time demonstrate the two theorems; our (x, y, z.) instead of meaning point-co-ordinates pay, mean line-co-ordinates, and the demonstration is then in every step of it a demonstration of the correlative theorem.
The idea of the world as the totality of being is, like the correlative idea of God, only of regulative value; it is transcendent, as we never do more than make approaches to a knowledge of the sum of being.
On the other hand, the world can be known as the realm of antithesis, and it is the correlative of God.
Where there is the appearance of inherence, therefore, there is always a plurality of reals; no such correlative to substance as attribute or accident can be admitted at all.
Substantiality is impossible without causality, and to this as its true correlative we now turn.
This test is roughly of two kinds, first by the ultimate principles or presuppositions on which a particular branch of knowledge rests, and second by the comparison of correlative facts.
The doctrine of space and time as forms of sense-perception, the reference of both space and time and the pure intellectual notions to the laws of the activity of mind itself, the distinction between sense and understanding as one of kind, not of degree, with the correlative distinction between phenomena and noumena, - all of these reappear, though changed and modified, in the Kritik.
Inner and outer reality are strictly correlative elements in the experience of the conscious subject.
"The chemical act of fermentation," writes Pasteur, "is essentially a correlative phenomenon of a vital act beginning and ending with it."
The early collectors of natural curiosities were the founders of zoological science, and to this day the naturalisttraveller and his correlative, the museum curator and systematist, play a most important part in the progress of zoology.
Hldfweard, the warder or keeper of bread, hldf, loaf; the word is not represented in any other Teutonic language), in its primary sense, the head of a household, the master of those dependent on him for their daily bread, correlative to O.
On the one hand, his whole formulation of Evolution in mechanical terms urges him in the direction of materialism, and he attempts to compose the mind out of homogeneous units of consciousness (or" feeling ")" similar in nature to those which we know as nervous shocks; each of which is the correlative of a rhythmical motion of a material unit or group of such units "(§ 62).
Celsus made evil constant in amount as being the correlative of matter.
This correlative numerical problem and the two purely geometrical problems are inseparably connected historically.
The correlative of the Via Salaria was the Via Campana, so called because it led past the grove of the Arvales along the right bank of the Tiber to the Campus Salinarum Romanarum,' the salt marshes, from which the Via Salaria took its name, inasmuch as it was the route by which Sabine traders came from the interior to fetch the salt.
The idea of necessity is not intuitively obvious; the ideas of cause and effect are correlative in our minds, but only as a result of experience.
Under the title of essence are discussed those pairs of correlative terms which are habitually employed in the explanation of the world - such as law and phenomenon, cause and effect, reason and consequence, substance and attribute.
Y g Y g infinite or causes, correlative and reciprocally finite, to which absolute.
But if these three correlative facts are immediately given, it seems to be thought possible by Cousin to vindicate them in reflective consciousness.
The rules of kinship largely determined status with its correlative rights and obligations, supplied the place of contract and of laws affecting the ownership, disposition and devolution of property, constituting the clan an organic, selfcontained entity, a political, social and mutual insurance copartnership. The solidarity of the clan was its most important and all-pervading characteristic. The entire territory occupied by a clan was the common and absolute property of that clan.
From the repeated correlative dicta that "nothing is due without deserving," and that a thing done "for God's sake," i.e.
In this memoir by Gergonne, the theory of duality is very clearly and explicitly stated; for instance, we find " da p s la geometrie plane, a chaque theoreme ii en repond necessairement un autre qui s'en deduit en echangeant simplement entre eux les deux mots points et droites; tandis que dans la geometrie de l'espace ce sont les mots points et plans qu'il faut echanger entre eux pour passer d'un theoreme a son correlatif "; and the plan is introduced of printing correlative theorems, opposite to each other, in two columns.
We find in it explicitly the two correlative definitions: " a plane curve is said to be of the p ith degree (order) when it has with a line m real or ideal intersections," and " a plane curve is said to be of the mth class when from any point of its plane there can be drawn to it m real or ideal tangents."
There is in analytical geometry little occasion for any explicit use of line-co-ordinates; but the theory is very important; it serves to show that in demonstrating by point-co-ordinates any purely descriptive theorem whatever, we demonstrate the correlative theorem; that is, we do not demonstrate the one theorem, and then (as.
The world and God are distinct, but correlative, and neither can be conceived without the other.
For some time the correlative difficulty, how objects of senseperception were possible, does not seem to have suggested itself to Kant.
5 The Organum and the History are thus correlative, and form the two equally necessary sides of a true philosophy; by their union the new philosophy is produced.