A Quote by Jorge Luis Borges
In the order of literature, as in others, there is no act that is not the coronation of an infinite series of causes and the source of an infinite series of effects.
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Until now the theory of infinite series in general has been very badly grounded. One applies all the operations to infinite series as if they were finite; but is that permissible? I think not. Where is it demonstrated that one obtains the differential of an infinite series by taking the differential of each term? Nothing is easier than to give instances where this is not so.
What a sublime idea of the infinite might of the great Architect, the Cause of all causes, the Father of all fathers, the Ens Entium! For if we would compare the Infinite, it would surely require a greater Infinite to cause the causes of effects than to produce the effects themselves.
The Law of Attraction allows for infinite possibilities, infinite abundance & infinite joy. It knows no order of difficulty.
Don't look back—forward, infinite energy, infinite enthusiasm, infinite daring, and infinite patience—then alone can great deeds be accomplished.
I want to be a writer who reminds others that these moments exist; I want to prove that there is infinite space, infinite meaning, infinite dimension
Every single person has within an ocean of pure vibrant consciousness. Every single human being can experience that - infinite intelligence, infinite creativity, infinite happiness, infinite energy, infinite dynamic peace.
With the exception of the geometrical series, there does not exist in all of mathematics a single infinite series the sum of which has been rigorously determined. In other words, the things which are the most important in mathematics are also those which have the least foundation.
Life is a series of decisions that cuts off infinite possibilities at every turn. Most people look at that as a sad unfortunate fact of life. Successful people see it as a source of tremendous power.
There's always going to be one more thing. Because that's what infinite feels like. And the difference between love and everything else is that it's infinite, it's built out of something infinite, or it feels like it is, anyway, which is the same thing to us. You think a million billion more things will come your way, a million billion more versions of everything. But no, everything that actually causes that infinite feeling, the circumstances of every infinite feeling, is so, so finite.
God is Infinite and His Shadow is also infinite. The Shadow of God is the Infinite Space that accommodates the infinite Gross Sphere which, with its occurrences of millions of universes, within and without the ranges of men's knowledge, is the Creation that issued from the Point of Finiteness in the infinite Existence that is God.
Today I said to the calculus students, "I know, you're looking at this series and you don't see what I'm warning you about. You look and it and you think, 'I trust this series. I would take candy from this series. I would get in a car with this series.' But I'm going to warn you, this series is out to get you. Always remember: The harmonic series diverges. Never forget it."
Notable enough, however, are the controversies over the series 1 - 1 + 1 - 1 + 1 - ... whose sum was given by Leibniz as 1/2, although others disagree. ... Understanding of this question is to be sought in the word "sum"; this idea, if thus conceived - namely, the sum of a series is said to be that quantity to which it is brought closer as more terms of the series are taken - has relevance only for convergent series, and we should in general give up the idea of sum for divergent series.
God is the evolutionary impulse of the universe. God is infinite creativity, infinite love, infinite compassion, infinite caring.
I know not how to express better, what my sins appear to me to be, than by heaping infinite upon infinite, and multiplying infinite by infinite . . . When I look into my heart and take a view of my wickedness, it looks like an abyss infinitely deeper than hell.
I hadn’t read a real series like that since I was a kid, and it was exciting to live again in an infinite fiction.
As long as man was small in numbers and limited in technology, he could realistically regard the earth as an infinite reservoir, an infinite source of inputs and an infinite cesspool for outputs. Today we can no longer make this assumption. Earth has become a space ship, not only in our imagination but also in the hard realities of the social, biological, and physical system in which man is enmeshed.
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