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Vannevar Bush

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If scientific reasoning were limited to the logical processes of arithmetic, we should not get far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability. The abacus, with its beads strung on parallel wires, led the Arabs to positional numeration and the concept of zero many centuries before the rest of the world; and it was a useful tool— so useful that it still exists.

 
Vannevar Bush

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Paradine blinked. The "abacus," unfolded, was more than a foot square, composed of thing, rigid wires that interlocked here and there. On the wires colored beads were strung. They could be slid back and forth, and from one support to another, even at the points of juncture.

 
Lewis Padgett
 

The rejection process is incorporated in the concept of the negative. The negative is a judgement device. It is the means whereby one rejects certain arrangements of information. The negative is used to carry out judgement and to indicate rejection. The concept of the negative is crystallized into a definite language tool. This language tool consists of the words no and not. Once one learns the function and use of these words one has learned how to use logical thinking. The whole concept of logical thinking is concentrated in the use of this language tool. Logic could be said to be the management of NO.

 
Edward de Bono
 

The logical formula: A is both A and Not-A, corresponds to the mathematical formula: A magnitude can be greater or less than itself.
The absurdity of both these propositions shows that they cannot refer to our world. Of course absurdity, as such, is indeed not an index of the attributes of noumena, but the attributes of noumena will certainly be expressed in what are absurdities to us. To hope to find in the world of causes anything logical from our standpoint is just as useless as to think that the world of things can exist in accordance with the laws of a world of shadows or stereometry according to the laws of planimetry.
To master the fundamental principles of higher logic means to master the fundamentals of the understanding of a space of higher dimensions, or of the world of the wondrous.
In order to approach to a clear understanding of the relations of the multi-dimensional world, we must free ourselves from all the "idols" of our world, as Bacon calls them, i.e., from all obstacles to correct receptivity and reasoning. Then we shall have taken the most important step toward an inner affinity with the world of the wondrous.

 
P. D. Ouspensky
 

If thought exists, I who think and the world about which I think also exist; the one exists but for the other, having no possible separation between them. Therefore, the world and I are both in active correlation; I am that which sees the world, and the world is that which is seen by me. I exist for the world and the world exists for me. ... One sure and primary and fundamental fact is the joint existence of a subject and of its world. The one does not exist without the other. I acquire no understanding of myself except as I take account of objects, of the surroundings. I do not think unless I think of things — and there I find myself.

 
Bruce Lee
 

Our forebears are deserving of tribute for one indisputable reason, if for no other: without them we should not be here. Let us recognize that we are not the ultimate triumph but rather we are beads on a string. Let us behave with decency to the beads that were strung before us and hope modestly that the beads that come after us will not hold us of no account simply because we are dead.

 
Robertson Davies
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