A Quote by Jacob Bernoulli
Even as the finite encloses an infinite series
And in the unlimited limits appear,
So the soul of immensity dwells in minutia
And in the narrowest limits no limit in here.
What joy to discern the minute in infinity!
The vast to perceive in the small, what divinity!
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The tragedy of human life consists in our vain attempts to stretch the limits of things which can never become unlimited, to reach the infinite by absurdly adding to the rungs of the ladder of the finite.
I say: liberate yourself as far as you can, and you have done your part; for it is not given to every one to break through all limits, or, more expressively, not to everyone is that a limit which is a limit for the rest. Consequently, do not tire yourself with toiling at the limits of others; enough if you tear down yours. He who overturns one of his limits may have shown others the way and the means; the overturning of their limits remains their affair.
I give myself limits - not only financial limits, but I also limit my method of expression, and from within those limits, I try to come up with something new and interesting.
Our self (Soul), as a form of God's joy, is deathless. For his joy is amritham, eternal bliss. We know that the life of a Soul, which is finite in its expression and infinite in its principle, must go through the portals of death in its journey to realize the infinite.
The potential infinite means nothing other than an undetermined, variable quantity, always remaining finite, which has to assume values that either become smaller than any finite limit no matter how small, or greater than any finite limit no matter how great.
Far be it from us to doubt that all number is known to Him 'Whose understanding is infinite' (Ps. 147:5). The infinity of number, though there be no numbering of infinite numbers, is yet not incomprehensible by Him Whose understanding is infinite. And thus, if everything which is comprehended is defined or made finite by the comprehension of him who knows it, then all infinity is in some ineffable way made finite to God, for it is comprehensible by His knowledge.
So he that despairs, limits an Infinite Power to a Finite Apprehension, and measures Providence by his own little, contracted Model.
Life to me is a series of false limits and my challenge as an athlete is to explore those limits
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.
You impose limits on your true nature of infinite being. Then you get displeased to be only a limited creature. Then you begin spiritual practices to transcend these non-existing limits. But if your practice itself implies the existence of these limits, how could they allow you to transcend them.
Corporate America limits the world to consumerism. Science can limit it to the material world. Even religion limits it to a lot of theories that can explain everything. I think we need cinema to break that apart and remind us that we're not in control, and we don't understand as much as we think do.
We come no nearer the infinitude of the creative power of God, if we enclose the space of its revelation within a sphere described with the radius of the Milky Way, than if we were to limit it to a ball an inch in diameter. All that is finite, whatever has limits and a definite relation to unity, is equally far removed from the infinite... Eternity is not sufficient to embrace the manifestations of the Supreme Being, if it is not combined with the infinitude of space.
It's much harder to work for yourself, by yourself, than to create work for a gallery, because there are no limits and you can do anything you want. It's always easier when you have a parameter, when you have a limit. You can work within the limit and push it and walk the line, but when you're given absolutely no limits, it's harder. You must really think. It's more challenging.
I believe that all poetry is formal in that it exists within limits, limits that are either inherited by tradition or limits that language itself imposes.
If you reject the infinite, you are stuck with the finite, and the finite is parochial... the best explanation of anything eventually involves universality, and therefore infinity. The reach of explanations cannot be limited by fiat.
We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.
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