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Descend from the infinite to the infinitesimal. Long before . . . observation had begun to penetrate the veil under which Nature has hidden her mysteries, the restless mind sought some principle of power strong enough and of sufficient variety to collect and bind together all parts of a world. This seemed to be found, where one might least expect it, in abstract numbers. Everywhere the exactest numerical proportion was seen to constitute the spiritual element of the highest beauty.

 

Benjamin Peirce

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That from the outset they expect or even impose all the properties of finite numbers upon the numbers in question, while on the other hand the infinite numbers, if they are to be considered in any form at all, must (in their contrast to the finite numbers) constitute an entirely new kind of number, whose nature is entirely dependent upon the nature of things and is an object of research, but not of our arbitrariness or prejudices.

 

Georg Cantor

 

Man found that he was faced with the acceptance of "spiritual" forces, that is to say such forces as cannot be comprehended by the senses, particularly not by sight, and yet having undoubted, even extremely strong, effects. If we may trust to language, it was the movement of the air that provided the image of spirituality, since the spirit borrows its name from the breath of wind (animus, spiritus, Hebrew: ruach = smoke). The idea of the soul was thus born as the spiritual principle in the individual. Observation found the breath of air again in the human breath, which ceases with death; even today we talk of a dying man breathing his last. Now the realm of spirits had opened for man, and he was ready to endow everything in nature with the soul he had discovered in himself.

 

Sigmund Freud

 

Spirituality is the master key of the Indian mind. It is this dominant inclination of India which gives character to all the expressions of her culture. In fact, they have grown out of her inborn spiritual tendency of which her religion is a natural out flowering. The Indian mind has always realized that the Supreme is the Infinite and perceived that to the soul in Nature the Infinite must always present itself in an infinite variety of aspects. The aggressive and quite illogical idea of a single religion for all mankind, a religion universal by the very force of its narrowness, one set of dogmas, one cult, one system of ceremonies, one ecclesiastical ordinance, one array of prohibitions and injunctions which all minds must accept on peril of persecution by men and spiritual rejection or eternal punishment by God, that grotesque creation of human unreason which has been the parent of so much intolerance, cruelty and obscurantism and aggressive fanaticism, has never been able to take firm hold of the Indian mentality.

 

Sri Aurobindo

 

Had the acute-angled rabble been all, without exception, absolutely destitute of hope and of ambition, they might have found leaders in some of their many seditious outbreaks, so able as to render their superior numbers and strength too much even for the wisdom of the Circles. But a wise ordinance of Nature has decreed that, in proportion as the working-classes increase in intelligence, knowledge, and all virtue, in that same proportion their acute angle (which makes them physically terrible) shall increase also and approximate to the comparatively harmless angle of the Equilateral Triangle. Thus, in the most brutal and formidable of the soldier class — creatures almost on a level with women in their lack of intelligence — it is found that, as they wax in the mental ability necessary to employ their tremendous penetrating power to advantage, so do they wane in the power of penetration itself.

 

Edwin Abbot

 

The first remark we have to make, and which — though already presented more than once — cannot be too often repeated when the occasion seems to call for it, — is that what we call principle, aim, destiny, or the nature and idea of Spirit, is something merely general and abstract. Principle — Plan of Existence — Law — is a hidden, undeveloped essence, which as such — however true in itself — is not completely real.

 

Georg Wilhelm Friedrich Hegel