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10-25-2005, 09:08 AM | #341 | |||
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What Lafcadio was mentioning was the well known case that this is not originally by Newton Rather it is at least as old as from "The Metalogicon" written by John of Salisbury in 1159. Quote:
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10-25-2005, 09:15 AM | #342 |
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two more additions.
Buridan, your site mistakes 11th century for 12th. "Google quality" I was a bit into rush to say about Hooke. It seems it was in a letter from Netwon to Hooke, but it seems my memory played tricks on me |
10-25-2005, 09:24 AM | #343 | |
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Ciao:Cheeky: |
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10-25-2005, 11:54 AM | #344 | |
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Boro Nut |
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10-25-2005, 01:51 PM | #345 | |
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10-25-2005, 06:14 PM | #346 | |
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Tycho encouraged Kepler to proceed from the data to the theory as opposed to trying to fit the data to a preconceived notion which is what Kepler was doing with his five shapes of antiquity. If it weren't for Tycho's influence and data Kepler would have wasted his life working on a bad idea because he believed it was inspired from God. |
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10-26-2005, 05:40 AM | #347 | ||||||||||||||||||||||
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1. Tycho had probably the best observations made with the naked eye. He had an enormous amount of data, collected over 20 years, mainly in Denmark, for Kepler to work with. In fact, this was the reason Tycho asked Kepler to come to Prague: he needed a mathematician (and Kepler was given the title Imperial Mathematician there), an assistent to work with his data in order to determine the orbits. Kepler arrived there in 1600, Tycho gave him the task of studyin the orbit of Mars. Tycho died in 1601, Kepler published Astronomia Nova in 1609. He was busy working on the mathematics, not observations. 2. The fact that Kepler relied on Tycho for his analysis is clearly shown by the key decision that Kepler made: to dismiss the error in the orbital prediction of only 8 minutes of arc!! as acceptable, as an error of observation. Tycho assured him that his observations were highly accurate, in an error limit of onyl 5 minutes of arc. If it wasn't for this decision, Kepler would not have started looking for an orbit of Mars that would fit Tycho limit of error. 3. In summa, only the fact that he trusted Tycho's observations more than the classical theory took him to the laws. Of course, this trust was not empirical or scientific (he could not have known if Tycho was not actually mistaken with 3 minutes of arc), but led him to the correct formulas. Quote:
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Just a hit point for those weak in spirit: The World As I See It is not a treatise about physics. Quote:
Again: How did he arrived at his laws 'scientifically'? I already gave you the quote in which he inspired from the thinking of another Greek, Archimedes with the triangles. Your repetition of it only makes me wonder if you actually read Astronomia Nova or understood it. The first thing when trying to compose the orbital pathways of the planets is that you are not given anything except the observations on the celestial sphere. Nothing tells you which model is to assumed, the Earth in the center, Mars or the Sun. Nothing. So, in order to begin, you have to start with the general presumption of the geometry of the system. It is obvious that if Kepler did not preffer the Copernican system, it would have been impossible to formulate the laws. What made him lean towards the Copernican system was a pure metaphysical motivation: the neoplatonic and Pythagorean idea of God expressing harmony in his creation, in the form of some numerical or geometrical proportions. What made him preffer the Copernican system over Ptolemeus' or Tycho's systems was geometrical harmony. He knew there were 6 planets and he tried to find a reason (why did God made them so) for the configuration with the sun in the center and the 6 planets around. So, his brilliant 'scientific' idea came from the Greek world: the 5 perfect solids. Thru a process of concentric circumscription he inserted the spheres and the solids succesively. His model predicted the distances pretty accurately, and this did not change when he inserted Tycho's data too. Now, he had the presumption of the Copernican model based on neoplatonic/pythagorean grounds. He had in mind his reasoning from the Mysterium, in order to explain why the planets moved slower when further from the sun: one reason was greater distance, and the fact that the 'soul' of the Sun had less power for moving the planets as the distance grew. The planets were move by the spiritual rays of the Sun. He found that the orbits were in the same plane with the Sun, a confirmation of this. He first calculated the relation between the distance from the sun and the orbit of the Earth. He observed that at the apses, the speed varies inversely with the d from the sun. He generalises this to the whole orbit (a wrong assumption, remember that it was still a circle). After this he approximates the formula with the areas - the Second Law. This Law was consistent with Tycho's data only because Earth's orbit is very close to circular! Then comes the orbit of Mars. He tries a circular orbit. The key aspect here: he obtaines a 8 min of arc error, which he finds unacceptable, relying on Tycho. This is crucial. After he tries the same move with Mars as he did with the Earth, the results are messed up - we know that Mars has a much more eccentric orbit than the Earth. He draws different circles at different points of Mars' position. They are different, so he aprroximates the orbit by drawing an oval, and then an ellipse with the same axis as the oval. He did this in order to be able to use Archimedes method of areas applied to ellipses. After inscribing this ellipse in the original circle he coincidently obtained the same error for the circle and for the ellipse (one in excess, one in minus)- around 0.0004: this is very important, because this makes him decide to draw an intermediate figure, another ellipse. Which led him to the First Law. Quote:
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And astronomy is not rejected, but highly praised, as is appropriate. ]Now, this Astrology is a foolish daughter (as I wrote in my book de Stella Cap. XII ). But dear Lord, what would happen to her mother, the highly reasonable Astronomy, if she did not have this foolish daughter. The world, after all, is much more foolish, indeed is so foolish, that this old sensible mother, Astronomy, is talked into things and lied to as a result of her daughter's foolish pranks... He is dismissing the common astrology, which he aslo used to make money. He calls the other one, his, an 'art'. See my quotes above. For further details, read Concerning The More Certain Fundamentals of Astrology. Quote:
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Appeal To Authority is not always fallacious. It is fallacious only 1 . when the authority refferd to is not an authority on the subject debated; 2. when there is disagreement between specialized authorities on that matter 3. the authority was in a circumstance that made him subject to error. What kind of fallacy is the Argument from the Future you quoted? What type: fallacy of relevance, appeal to motive, non sequitur? Quote:
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10-26-2005, 05:44 AM | #348 | |
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10-26-2005, 09:30 AM | #349 | |||||||||||||||||||||||||||||||||
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You still dare to show up? :devil3:
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Have you heard of a guy called Roger Bacon? Have you heard of something called "natural philosophy"? Do you know something about those guys believing the universe is ruled by physical laws? Do these homeworks, and you'll find what it's the basis of research. Quote:
As for your question to take the observed data, propose a model, create a theory and then to verify it and make predictions with it, it's scientific. Quote:
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Before he was Tycho's assistent he had observations on his own. Once he got the huge database from Tycho and until he published his works, of course his main focus was the model. Even today, it's not always the same scientist the one that gathers data and the one that models it. But Kepler performed also other observations during his modelling, though we know his work is mainly based on Tycho's observations. If you've read Kepler (and again you prove you didn't, nor even a good brief on his works) he said that he performed further observations to find other points to confirm his orbits. It's fair to emphasize that his data are mostly inherited from Brahe, but it's unfair to claim (or to mention not that) he wasn't observing or that the observation he made were totally irrelevant for his findings. Quote:
I for one know what I'm thinking when I say "ellipse" in a discussion about 17th century astronomy. If you think of fluffy angels it's not my strawman, but your incapacity of understanding. Quote:
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When Kepler used his mathematical skills to model the observations he obviously abandoned the perfect solids theory. He even admits it (perhaps with bitterness, we can speculate and talk about his wishful thinking, but again, that can't strip him of his fair scientific attitude he proved). The 5 solids theory you put so much emphasis is published in a pre-1600 book, the Mysterium which you also mention. It was his way to explain the apparent arbitrary distances from heliocentric model. When later he found his own laws, you can imagine, this explanation would no longer work. What's even more interesting, that in the same book where he published the 5 solids theory he questioned both Ptolemeic and Heliocentric systems from mathematical modeling point of view. So this phantasmagoric connection between the 5 solid theory and its final mathematical model over Brahe's and his data fails to be supported by evidence. Quote:
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First, the orbit of Mars was calculated together with Earth's orbit (the one which you refered to in a paragraph above). Kepler took in account that he observed from Earth. He had three points - Sun, Earth, Mars to use when detecting positions in space and drawing orbits. Second, the ellipse doesn't come from successive circles as you imagine. The ellipses came from the errors he found and from the unwillingness to use epicycles or other interactions but the interactions he assumed between planets and Sun. To draw an ellipse it's not that complicated as you think - you need only two measurements - for each axis. Third, Archimede's method does not work for ellipses. Fourth, First Law comes indeed from an coincidence, but that it's of an angular measurement Kepler made, which shown that Sun it's indeed in one of the ellipse's focuses. Otherwise First Law would have been "planets move on elliptical orbits around the Sun". Quote:
If you whine that he actually did 'trial and error' method to get the best shape for his actual data, I might remind you that's nothing unscientific in that. We're talking about forming the hypothesis, you can perform any number of trials to create a valid model. Quote:
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I just pointed out your ad nauseam and the futility of a sentence which is accepted by everyone who wrote in this thread. Quote:
The only problem is your misunderstanding. I repeatedly pointed out why Kepler is scientific. It seems you have problems with some broad assumptions Kepler made (not that to make assumptions to form a hypothesis is unscientific) and possibly with the modest quality of the peer-review, that's why I felt to make a difference. Though the difference mostly emphasizes that a scientist of those times used both physical and metaphysical arguments, which it seems is one of your problems against Kepler. Quote:
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You previously told me "Kepler was talking like that about the Astrology performed by the idiots of his days" though from the quote it's obvious that he talks about the astrology performed by a mathematician like himself (from the same quote, but still stripped by you, with the same selective bias: "The mathematician's pay would be so low, that the mother would starve, if the daughter did not earn anything"). Now if you believe the idiots of his days were the mathematicians you clearly have no idea about Kepler's beliefs. Quote:
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What type of fallacy is? Well, from what you've listed it's a non sequitur and a fallacy of irrelevance. Quote:
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