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Robert M. Pirsig

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The number of rational hypotheses that can explain any given phenomenon is infinite.
--
Ch. 9; this has also appeared in paraphrased form as "The number of hypotheses available to explain any given phenomenon is infinite.

 
Robert M. Pirsig

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Nothing is that which fills no space. If one single point placed in a circle may be the starting point of an infinite number of lines, and the termination of an infinite number of lines, there must be an infinite number of points separable from this point, and these when reunited become one again; whence it follows that the part may be equal to the whole.

 
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I think there is some kind of divine order in the universe. Every leaf on every tree in the world is unique. As far as we can see, there are other galaxies, all slowly spinning, numerous as the leaves in the forest. In an infinite number of planets, there has to be an infinite number with life forms on them. Maybe this planet is one of the discarded mistakes. Maybe it's one of the victories. We'll never know.

 
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Certainly it is permitted to anyone to put forward whatever hypotheses he wishes, and to develop the logical consequences contained in those hypotheses. But in order that this work merit the name of Geometry, it is necessary that these hypotheses or postulates express the result of the more simple and elementary observations of physical figures.

 
Giuseppe Peano
 

Therefore alongside the ancient hypotheses, which are no more probable, let us permit these new hypotheses also to become known, especially since they are admirable as well as simple and bring with them a huge treasure of very skillful observations. So far as hypotheses are concerned, let no one expect anything certain from astronomy, which cannot furnish it, lest he accept as the truth ideas conceived for another purpose, and depart from this study a greater fool than when he entered it.

 
Nicolaus Copernicus
 

All things were together, infinite both in number and in smallness; for the small too was infinite.

 
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