[O]ur purpose is to give a presentation of geometry... in its visual, intuitive aspects. With the aid of visual imagination we can illuminate the manifold facts and problems... beyond this, it is possible... to depict the geometric outline of the methods of investigation and proof, without... entering into the details... In this manner, geometry being as many-faceted as it is and being related to the most diverse branches of mathematics, we may even obtain a summarizing survey of mathematics as a whole, and a valid idea of the variety of problems and the wealth of ideas it contains. Thus a presentation of geometry in large brushstrokes... and based on the approach through visual intuition, should contribute to a more just appreciation of mathematics by a wider range of people than just the specialists. (David Hilbert)

[O]ur purpose is to give a presentation of geometry... in its visual, intuitive aspects. With the aid of visual imagination we can illuminate the manifold facts and problems... beyond this, it is possible... to depict the geometric outline of the methods of investigation and proof, without... entering into the details... In this manner, geometry being as many-faceted as it is and being related to the most diverse branches of mathematics, we may even obtain a summarizing survey of mathematics as a whole, and a valid idea of the variety of problems and the wealth of ideas it contains. Thus a presentation of geometry in large brushstrokes... and based on the approach through visual intuition, should contribute to a more just appreciation of mathematics by a wider range of people than just the specialists.

David Hilbert

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aid appreciation approach based beyond entering geometry idea illuminate imagination intuition intuitive investigation large manifold manner mathematics outline people possible presentation proof purpose range should survey thus variety visual wealth details facts

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George Klir
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Kurt Schwitters
You can imagine that it is not easy to describe this modern vision of the nature of things in any manner intelligible to those who have not our advantages. There is much in this vision which will remind you of your mystics; yet between them and us there is far more difference than similarity, in respect both of the matter and the manner of our thought. For while they are confident that the cosmos is perfect, we are sure only that it is very beautiful. While they pass to their conclusion without the aid of intellect, we have used that staff every step of the way. Thus, even when in respect of conclusions we agree with your mystics rather than your plodding intellectuals, in respect of method we applaud most your intellectuals; for they scorned to deceive themselves with comfortable fantasies.
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Piet Mondrian
WHAT HAPPENS AFTER DEATH? When a human soul goes out of the body, some great mystery happens. For if it is guilty of sins, then there come hordes of demons, evil angels and dark forces, take that soul and drag it to their side. No one should be surprised at that, because if a man surrendered and fell prey to them while still alive in this world, will not they have even greater control over him and enslave him when he departs from this world? As for the other, the better part of people, something different happens to them. There are Angels around the holy servants of God in this life; the holy spirits surround them and protect them; and when their souls are separated from the body, the choir of Angels welcomes them into their fellowship, into a bright life, and thus leads them to the Lord.
Macarius of Egypt