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Orville Smith New user 87 Posts |
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On Jul 5, 2016, balducci wrote: All I know is that half of a planet is called a hemi-sphere, Not a hemi-circle. That was my point. |
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arthur stead Inner circle When I played soccer, I hit 1773 Posts |
Does a point have dimension?
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stoneunhinged Inner circle 3067 Posts |
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On Jul 6, 2016, arthur stead wrote: In real life, yes. In math, no. Does that mean that math is disconnected from real life? |
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tommy Eternal Order Devil's Island 16544 Posts |
Something an accountant who loves words might like to know is that bookkeeper is a rare English word with three consecutive double letters.
If there is a single truth about Magic, it is that nothing on earth so efficiently evades it.
Tommy |
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funsway Inner circle old things in new ways - new things in old ways 9982 Posts |
I like the one in which a writer claimed that there was no synonym for "unique."
His editor quipped, "Yes, it is a very singular word."
"the more one pretends at magic, the more awe and wonder will be found in real life." Arnold Furst
eBooks at https://www.lybrary.com/ken-muller-m-579928.html questions at ken@eversway.com |
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S2000magician Inner circle Yorba Linda, CA 3465 Posts |
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On Jul 6, 2016, stoneunhinged wrote: In math, yes. Its dimension is zero. (Not at all the same thing as having no dimension.) |
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stoneunhinged Inner circle 3067 Posts |
Can you explain the difference?
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S2000magician Inner circle Yorba Linda, CA 3465 Posts |
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On Jul 6, 2016, stoneunhinged wrote: Yes. |
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stoneunhinged Inner circle 3067 Posts |
Ha!
OK, would you be so kind as to explain the difference to me? Or would you have to do it mathematically? |
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S2000magician Inner circle Yorba Linda, CA 3465 Posts |
My pleasure.
If something has a dimension of zero, then it has a dimension; that dimension happens to be zero. If something hasn't a dimension, then it hasn't a dimension; it isn't five; it isn't four; it isn't three; it isn't two; it isn't one; it isn't . . . wait for it . . . zero; it isn't anything. There is no dimension. Does that help? (Note: lots of people who use mathematics - people in finance, in particular - confuse the idea of something not existing with the idea of something being zero. Finance people will say that two data series have no correlation when they mean that they do have a correlation, and it's zero (or, generally, close to zero). It's irritating to hear and read such sloppy language.) |
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stoneunhinged Inner circle 3067 Posts |
Thank you.
I once heard a physics lecture in which the scientist spoke of particles that had mass but no dimension. Or maybe I remember it wrong. Maybe he spoke of particles that had dimension but no mass. Either way, I found it difficult to grasp. But a dimension of zero makes sense to me. Something that exists is different than something that does not. |
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Magnus Eisengrim Inner circle Sulla placed heads on 1053 Posts |
A mind-bender of the past 40 years is the notion that dimensions don't have to be whole numbers (non-negative integers to the sticklers).
Yes, something can be 1.5-dimensional.
The blood-dimmed tide is loosed, and everywhere
The ceremony of innocence is drowned; The best lack all conviction, while the worst Are full of passionate intensity.--Yeats |
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S2000magician Inner circle Yorba Linda, CA 3465 Posts |
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On Jul 6, 2016, Magnus Eisengrim wrote: Ah . . . fractals. |
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arthur stead Inner circle When I played soccer, I hit 1773 Posts |
The notion of no dimension not existing puzzles me.
It seems we live in a world of duality. Where there is light, there is also darkness. Where there is good, there is also evil. Our whole existence is comprised of opposites such as love and hate, large and small, positive and negative, greed and contentment, life and death, happiness and sorrow, finite and infinite, etc. So surely if there is NO dimension, the opposite must also be true; that there IS dimension. |
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funsway Inner circle old things in new ways - new things in old ways 9982 Posts |
But arthur, are we not also instructed to hear the music between the notes?
The apparent need/desire for people to seek a world of duality does not make it "true," only convenient. To say that "Our whole existence is comprised of opposites," seems to define a way of thinking and not existence. Yes, the human brain seems only capable of holding two thoughts in mind and once, with the ability to compare and rank them. Perhaps this is human-kind greatest limitation. We are taught to consider that "impossible" and "possible" are opposites, yet magicians create apparent miracles from: non-possible, improbable, other than possible and "never happened."
"the more one pretends at magic, the more awe and wonder will be found in real life." Arnold Furst
eBooks at https://www.lybrary.com/ken-muller-m-579928.html questions at ken@eversway.com |
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stoneunhinged Inner circle 3067 Posts |
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On Jul 6, 2016, arthur stead wrote: But what Bill was explaining is that zero dimension is dimension. It's kinda like saying that nothing exists. You are still proclaiming the existence of something: nothing. But this is all there in Hegel, should anyone be interested. |
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S2000magician Inner circle Yorba Linda, CA 3465 Posts |
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On Jul 6, 2016, arthur stead wrote: I'm not sure where you got the idea that no dimension doesn't exist. Without getting into the bowels of measure theory, suffice it to say that there are sets for which there is no dimension; i.e., it is not possible to assign a dimension to those sets that is consistent with the axioms of measure theory. A set with a dimension of zero, however, is another beast entirely. It has a dimension - which is consistent with the axioms of measure theory - and that dimension happens to be the number zero. Perhaps an (admittedly imperfect) analogy will help: when measuring the temperature of an object in degrees Fahrenheit, having a temperature of 0 does not mean that the object has no temperature (i.e., that the object's temperature cannot be computed). It has a temperature, and that temperature happens to be zero. |
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S2000magician Inner circle Yorba Linda, CA 3465 Posts |
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On Jul 6, 2016, stoneunhinged wrote: Mathematicians grimace when physicists try to talk mathematics. |
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Dannydoyle Eternal Order 21219 Posts |
The Grimace was my favorite McDonaldland resident.
Danny Doyle
<BR>Semper Occultus <BR>In a time of universal deceit, telling the truth is a revolutionary act....George Orwell |
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Salguod Nairb Room 101 0 Posts |
The original Grimace had 4 arms.
We shall meet in the place where there is no darkness...
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