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#21
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As you said, our understanding of it is perceptual: we perceive and identify things by their unique set of characteristics and traits. But things must exist before we can possibly perceive them; that is the nature of perception. Quote:
Does the Monist ignore that, then, in order to look only at "reality's egalitarian hierarchy"? Quote:
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Illusion means being deluded about enlightenment; enlightenment is being enlightened about illusion. - from 'The Heart of Dogen's Shobogenzo' Brad Chat |
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#22
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Illusion means being deluded about enlightenment; enlightenment is being enlightened about illusion. - from 'The Heart of Dogen's Shobogenzo' Brad Chat Last edited by Willamena; 07-11-2006 at 02:23 PM. |
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#23
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[quote=Willamena]
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Well, we tried to explain it. Thanks for playing I guess, or thanks for asking anyway.
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Going old school... knee still sucks... |
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#24
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Illusion means being deluded about enlightenment; enlightenment is being enlightened about illusion. - from 'The Heart of Dogen's Shobogenzo' Brad Chat |
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#25
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__________________
Going old school... knee still sucks... |
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#26
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From the Univerisy of Utah Math Department site: The reason that the result of a division by zero is undefined is the fact that any attempt at a definition leads to a contradiction. To begin with, how do we define division? The ratio r of two numbers a and b: r=a/b is that number r that satisfies a=r*b.Well, if b=0, i.e., we are trying to divide by zero, we have to find a number r such that r*0=a. (1) But r*0=0 for all numbers r, and so unless a=0 there is no solution of equation (1). Now you could say that r=infinity satisfies (1). That's a common way of putting things, but what's infinity? It is not a number! Why not? Because if we treated it like a number we'd run into contradictions. Ask for example what we obtain when adding a number to infinity. The common perception is that infinity plus any number is still infinity. If that's so, then infinity = infinity+1 = infinity + 2 which would imply that 1 equals 2 if infinity was a number. That in turn would imply that all integers are equal, for example, and our whole number system would collapse. What about 0/0? I said above that we can't solve the equation (1) unless a=0. So, in that case, what does it mean to divide by zero? Again, we run into contradictions if we attempt to assign any number to 0/0. Let's call the result of 0/0, z, if it made sense. z would have to satisfy z*0=0. (2) That's OK as far as it goes, any number z satisfies that equation. But it means that the result of 0/0 could be anything. We could argue that it's 1, or 2, and again we have a contradiction since 1 does not equal 2. But perhaps there is a number z satisfying (2) that's somehow special and we just have not identified it? So here is a slightly more subtle approach. Division is a continuous process. Suppose b and c are both non-zero. Then, in a sense that can be made precise. the ratios a/b and a/c will be close if b and c are close. A similar statement applies to the numerator of a ratio (except that it may be zero.) So now assume that 0/0 has some meaningful numerical value (whatever it may be - we don't know yet), and consider a situation where both a and b in the ratio a/b become smaller and smaller. As they do the ratio should become closer and closer to the unknown value of 0/0. There are many ways in which we can choose a and b and let them become smaller. For example, suppose that a=b throughout the process. For example, we might pick a=b = 1, 1/2, 1/3, 1/4, .... Since a=b, for all choices of a we get the ratio 1 every time! This suggests that 0/0 should equal 1. But we could just as well pick b = 1, 1/2, 1/3, 1/4, .... and let a be twice as large as b. Then the ratio is always 2! So 0/0 should equal 2. But we just said it should equal 1! In fact, by letting a be r times as large as b we could get any ratio r we please! So again we run into contradictions, and therefore we are compelled to let 0/0 be undefined.
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Going old school... knee still sucks... |
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#27
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This whole mathematical analogy seems to have more obfuscated than clarified the concept.
Molecules of water vapor condense into cloud droplets, then into raindrops. these individuals then fall to earth and merge into the waters of lakes and rivers. The river water eventually merges with the sea. The raindrop is no longer an individual. Its molecules are scattered throughout the whole. It has become one with Ocean. |
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#28
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The monist may point to transience and the inevitable commonality as a breakdown of what is unique. There is really no dispute here to say that "nothing" is, but definite distinction between one thing and another seems false when we isolate one thing to the exception of all. Quote:
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