Every quantity is intellectually conceivable as infinitely divisible.
Leonardo da Vinci
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Now if you see that it is inconceivable that anything should exist, it is evident that at least one inconceivable fact is there. That is to say, that which exists is not limited to the conceivable. Since the inconceivable is there, it is impossible to set any limit to the quantity of inconceivableness which may be present in the situation. Now were the existence of anything consistently to remind you of the fact of inconceivability, since it is impossible to live without interacting with a large number of existing things, it would be impossible for you to feel in the same way about the conceivable.
Celia Green
Anaxagoras held that everything is infinitely divisible, and that even the smallest portion of matter contains some of each element. Things appear to be that of which they contain the most. Thus, for example, everything contains some fire, but we only call it fire if that element preponderates. He argues against the void, saying that the clepsydra or an inflated skin shows that there is air where there seems to be nothing.
Anaxagoras
To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.
Leonhard Euler
The smallest natural point is larger than all mathematical points, and this is proved because the natural point has continuity, and any thing that is continuous is infinitely divisible; but the mathematical point is indivisible because it has no size.
Leonardo da Vinci
Numbers are the product of counting. Quantities are the product of measurement. This means that numbers can conceivably be accurate because there is a discontinuity between each integer and the next. Between two and three there is a jump. In the case of quantity there is no such jump, and because jump is missing in the world of quantity it is impossible for any quantity to be exact. You can have exactly three tomatoes. You can never have exactly three gallons of water. Always quantity is approximate.
Gregory Bateson
Vinci, Leonardo da
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