Here, then, we have the exact equivalence of a certain amount of gravitational motion expressed in terms of heat.
The question arises as to what is the law of equivalence in regard to the transformation of energy.
This equivalence and transformation prevail in all forms of energy, whether it be mechanical energy, thermal or heat energy, or electrical energy.
All the cases mentioned in books of Logic as examples of aequipollency or equivalence of propositions, are of this nature.
As has been sufficiently demonstrated, no such additional force can be shown to exist, or be logically assumed in theory, except in some transcendental sense; nature gives us only perfectequivalence of forces.
Nowhere, perhaps, does the equivalence of the shadow to the life or soul come out more clearly than in some customs practised to this day in South-eastern Europe.
The second measurable property of the elements is their equivalence or their capacity for forming compounds of definite forms.
According to the law of substitution, the formation of sodium chloride, NaCl, at once shows the equivalence of the atoms of the alkali metals and the halogens.
The lack of economic equivalence in the relation of parent and child is complete in early years.
The essential thing in this comparison is not physical identity, but equivalence in size, sort, and quality at the two periods.
To speak of quantitative equivalence between a unit of feeling and a unit of motion seems to me to be talking nonsense,--to be combining terms which severally possess a meaning into a phrase which has no meaning.
I say, therefore, that the theory of correlation and equivalence of forces lends no support whatever to materialism.
The relation between two stages is not like that between the two members of an equation, a relation of exact equivalence between the evolved and the involved.
The hypothesis of an equivalence between the psychical state and the cerebral state implies a veritable absurdity, as we tried to prove in a former work.
I doubt, however, the equivalence of the Vancouver beds and the Lower Laramie, except perhaps in so far as the upper member of the former is concerned.
These statements raise, however, questions as to the precise equivalence in time of similar floras found in different latitudes.
Hence this equivalencebetween value and labour has hitherto had and will continue for an indefinite time to have, a conformity with facts; but, of what kind is this conformity?
Thus neither a rule of abstract justice nor one of convenience and social utility can be derived from the equivalence between value and labour.
Marx assumed, outside the field of pure economic theory, a proposition; the famous equivalence between value and labour; i.
He therefore planned a number of crucial experiments such as the "porous plug" experiment, to test the equivalence of heat and motive power.
Thus the equivalence is proved and also the fact that the area of a trapezoid is found by multiplying the sum of the bases by half the height, or half the sum of the bases by the height.
As the equivalence of the two figures is demonstrated by these pieces of the rectangle which may be used to fill in the two figures, it is easily seen that the area of a rhombus is found by multiplying the side or base by the height.
Page 281 shows a table taken from our geometry portfolio, representing the equivalence of a decagon to a rectangle having one side equal to the perimeter and the other equal to half the hypotenuse.
The two triangles can be superimposed by placing them in contact at the under side where there is no knob, and the same can be done with the rectangles, thus showing their equivalence by placing one on the other.
In a later substitution we consider the rhomboids instead of the rectangles in order to demonstrate their respectiveequivalence to the two squares formed on the sides of the triangle.
In this second demonstration the relative equivalence of the rhomboid, the rectangles, and the squares is shown outside the figure by means of the parallel indentures which are on both sides of the frame.
Another inset shows the equivalence of the decagon and a rectangle which has one side equal to the perimeter of the decagon and the other equal to half of the altitude of each triangle composing the decagon.
The inequality in the acquisitions of memory would not affect the equivalence of faculties, and genius would no longer seem to us other than what it really is,--mental health.
Hence it follows that, a little sooner or a little later, according as circumstances shall be more or less favorable, general progress must lead all men from original and negative equality to a positive equivalence of talents and acquirements.
Communism, as I have often complained, is the very denial of society in its foundation, which is the progressive equivalence of functions and capacities.
Having theequivalence or replacing power of an atom of hydrogen; univalent; as, the methyl radical is monatomic.
The doctrine of valence has been of fundamental importance in distinguishing the equivalence from the atomic weight, and is an essential factor in explaining the chemical structures of compounds.
M266 Equivalence of the new intercalary month to the old intercalary Twelve Days multiplied by two and a half.
The question of equivalence itself (how much wine a man is to receive in return for so much corn, or how much coal in return for so much iron) is a quite separate one, which we will examine presently.
Here materialism calls to its aid the discovery of the correlation and equivalence of forces, one of the most stupendous achievements of our century.
If we had the means of measurement we could prove the equivalence from step to step.
Moreover, a neural process can never explain a conscious process in the way of cause and effect; for there is no equivalence between them, and one can never absorb the other.
Find, without reference to the mnemonic verses, in what different ways it is possible to prove syllogistically the conclusion No S is P; and show the equivalence between these different ways.
To speak of an equivalence between the two is simply to curtail, and make almost unintelligible, the Spinozistic or Leibnizian metaphysic.
We have shown on what self-contradictory postulate, on what confusion of two mutually incompatible symbolisms, the hypothesis of equivalence between the cerebral state and the psychic state rests.
How then shall we recognize the equivalence of these two series?
From all this arises the notion of the equivalence of two forces.
Not even in St. Thomas can we find a formal discussion of the moral obligation of observing an objective equivalence in contracts of buying and selling.
But Newtonian Gravitation admits attraction only: Then Newtonian Gravitation can be only one-third acceptable even to the orthodox, or there is denial of the correlation andequivalence of forces.
As to the Law of Gravitation, I prefer to take one simple stand: Orthodoxy accepts the correlation and equivalence of forces: Gravitation is one of these forces.
In the first place, there is no such correlation or equivalence as is alleged between physical forces and the phenomena of consciousness.
