All the infinities that occur in the theory of functions are of the nature of variable finite numbers, with the single exception of the infinity of an infinite aggregate.
An integral possessing such logarithmicinfinities is said to be of the third kind.
That the number is equal to the total number of infinities is best deduced by means of a theorem which is also of more general utility.
You talk about the infinities known in science, and I talk about the infinities known in religion.
Epigram can at best serve, not as a definition, but as a suggestion of the infinities that it really does not circumscribe.
What avails thy logic when a little of the Mandragora can melt the material universe into golden, unfolding infinities of dreams?
He knows the heights that reason lends to instinct in the human kind, and the infinities that affection borrows from it.
What are we to think as to the possibility of the infinities which we conceive?
But it is easy to see that none of the infinities hitherto examined can be called infinite in the strict sense of the term: they are all limited under many aspects,--none of them is an infinitely perfect being.
In Germany the same desire made men call for the infinities of knowledge beyond the earth.
The Renaissance in Italy desired the fulness of knowledge in this world, and did not look for its infinities in the world beyond.
But they have come from the depths of the most prodigious infinities and are not content with a tardy solution.
For that we know the existence of infinities as objectively real, and can reason upon them, Locke would not have denied: and it is this knowledge to which others gave the name of idea.
Suddenly I found myself in a vast region, which seemed limitless, which seemed to consist of infinite infinities which one nevertheless could see were finities blending with each other imperceptibly.
A thousand infinities are not more than two or three, and even one is not comprehensible by finite numbers.
Nor does the fact that these infinities are not given to sense disprove their existence, as Aristotle had maintained.
Her face lost in infinities of glittering chandeliers.
Crystals of infinities of chandeliers tremble in the first long honey-savored chord.
And they looked onward, and in the infinities of light before, a speck of light appeared, and suddenly they were in the midst of rushing worlds.
Every world must exert an infinitely extended power, but myriads of infinities cannot be in the same space.
He [Page 266] has gone on and on, till thought, wearied amidst the infinities of velocity and distance, has ceased to note them.
For every change in any one of these quantities we have a new proportion of capital: five infinities, supposing change only in one quantity at a time: infinity of infinities in the sum of possible changes.
Surely the dust would settle soon: in Italy, at Easter, he might perceive the infinities of love.
Our finite minds become bewildered in attempting even to glance at these infinities of time.
In other words, dazed and outworn by the incomprehensible infinities of Time and Space we console ourselves with the theory that it is all a mere phenomenon, a projection of our own mind, and with Faust we exclaim What wondrous vision!
It is in our own heart that we find a refuge from the infinities of Space and Time--in that human heart by which we live, in its tenderness, its joys, its fears.
Christ is the Logos ofInfinities and through the word alone are Thought and Force made manifest.
Hid in the holiest place in all infinities is locked the scroll that bears the record of the purposes of God, the Triune God, and there we read: "Perfection is the ultimate of life.
Of the three infinities possible in space, the second is infinitely greater than the first, and the third infinitely greater than the second.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "infinities" in a variety of sentences. We hope that you will now be able to make sentences using this word.
