A Quote by Oliver Wendell Holmes Sr.
Civilization is the process of reducing the infinite to the finite.
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The Infinite alone exists and is Real; the finite is passing and false. The Original Whim in the Beyond caused the apparent descent of the Infinite into the realm of the seeming finite. This is the Divine Mystery and Divine Game in which Infinite Consciousness for ever plays on all levels of finite consciousness.
The difficulties in the study of the infinite arise because we attempt, with our finite minds, to discuss the infinite, assigning to it those properties which we give to the finite and limited; but this... is wrong, for we cannot speak of infinite quantities as being the one greater or less than or equal to another.
To meditate with humility, consider existence. It is infinite. You are finite. You are a finite portion of infinite existence. Let this be your meditation.
What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could also call the supra-finite), that is an unbounded ascending lader of definite modes, which by their nature are not finite but infinite, but which just like the finite can be determined by well-defined and distinguishable numbers.
There are at least two kinds of games. One could be called finite, the other, infinite. A finite game is played for the purpose of winning, an infinite game for the purpose of continuing the play.
From now on I will consider a language to be a set (finite or infinite) of sentences, each finite in length and constructed out ofa finite set of elements. All natural languages in their spoken or written form are languages in this sense.
The individual soul touches upon the world soul like a well reaches for the water table. That which sustains the universe beyond thought and language, and that which is at the core of us and struggles for expression, is the same thing. The finite within the infinite, the infinite within the finite.
All is finite in the present; and even that finite is infinite in it velocity of flight towards death. But in God there is nothing finite...Upon a night of earthquake he builds a thousand years of pleasant habitations for man. Upon the sorrow of an infant he raises oftentimes from human intellects glorious vintages that could not else have been.
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.
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.
The infinite being has assumed unto himself the mystery of finitude. And in him who is love the finite and the infinite are made one.
The cause being finite, the effect must be finite. If the cause is eternal the effect can be eternal, but all these causes, doing good work, and all other things, are only finite causes, and as such cannot produce infinite result.
More simply said, the finite does not add to the infinite but merely expresses the power of the infinite in a limited mode.
It is hard to be finite upon an infinite subject, and all subjects are infinite.
For man to be able to live he must either not see the infinite, or have such an explanation of the meaning of life as will connect the finite with the infinite.
Mathematics has been called the science of the infinite. Indeed, the mathematician invents finite constructions by which questions are decided that by their very nature refer to the infinite. This is his glory.
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