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Old 10-25-2005, 09:08 AM   #341
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Originally Posted by Bobinius

Ho ho. This is a good one. This metaphor was really misplaced by your genial style, and that's what I objected to. It seems you have no idea who formulated it.

Quote:
Quote:
Originally Posted by The Columbia World of Quotations
If I have seen further [than certain other men] it is by standing upon the shoulders of giants.

ATTRIBUTION : Isaac Newton (1642–1727), British physicist, mathematician, universal genius. Letter to Robert Hooke, February 5, 1675.

With reference to his dependency on Galileo’s and Kepler’s work in physics and astronomy.
It seems that Kepler stepped down from his own shoulders. :wave:

Lafcadio: Kepler's among the first ones who stepped firmly down from the shoulders of giants.

You bring a lot of involuntary humour to this thread. :thumbs:

*PS: It is a famous and overused metaphor. Even Stephen Hawking has a book with it on its cover. But some people have no idea how to apply it.
I think it would be more wise of you to do as Lafcadio insist, quite simply to do a lot more reading in this field. Your ignorance about this quote reveal that you are basing your case on googling and not on any deeper studies.

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.

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However, John's thought was indeed inspired by an earlier Christian thinker named Bernard of Chartres. John was born in France and studied there during the early 12th century. It is likely that John learned the phrase at this time, for he later moved to England where he continued his theologic research. The only example of Bernard's quote that I've come across thus far was from Robert Merton's book On the Shoulders of Giants. Merton quotes Bernard as saying, in about 1130:

"We are like dwarfs standing [or sitting] upon the shoulders of giants, and so able to see more and see farther than the ancients."

In addition, Merton goes on to point out that at least the idea Bernard was attempting to convey goes back to a 6th century grammarian named Priscian, who wrote:

"The younger the scholars, the more sharp-sighted."

Clearly, the basic idea of these thoughts is that modern researchers owe much to the knowledge that earlier scientists have discovered. While many believe that was the sentiment being expressed by Newton in his letter to Hooke, some researchers have suggested that he was actually using the phrase "on the shoulders of giants" as a veiled insult of Robert Hooke, who was a rather short man.
It would be wise of you to refrain from making such mistakes. Not to mention worsening your case even more by ridiculising others for their "error".
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Old 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
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Old 10-25-2005, 09:24 AM   #343
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Originally Posted by Lafcadio
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
Indeed, "11th century monk named John of Salisbury"

Ciao:Cheeky:
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Old 10-25-2005, 11:54 AM   #344
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Originally Posted by trexmaster
What if Christianity never existed?
You know, that's a really novel approach, but I'm afraid I definitely remember seeing some when I was a kid.

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Old 10-25-2005, 01:51 PM   #345
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Originally Posted by Lafcadio
I just had a quick glance on spin's translation and so far I found this inaccuracy: "indegna" = "unworthy" not "worthy". The phrase also doesn't make sense with the word "worthy". The god being able to create the infinite, is worthy for him to create the finite??
Yes, you're correct. My bad.
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Old 10-25-2005, 06:14 PM   #346
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Bobinius
Kepler made calculations using Tycho Brache's data. Read it until it sinks in.
Quite true but there is more.

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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Old 10-26-2005, 05:40 AM   #347
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Originally Posted by Lafcadio
I can't help you understand if you're not willing. I said "I was talking about Bruno vs Kepler" which is true. I said I didn't talk about Western Europe's history of thought which is true. I also repeated what you quoted here "Kepler's among few europeans of his time who dared not to be Greek." as "Kepler was one among the few." and also down in the message the entire quote.
There is something to be understood: your claim was false. I have already shown that Kepler was driven by Greek ideas, Pythagoras and Platonic/neo-platonic ones in his metaphysical and mystical approach on the study of Nature. Also, his mathematical thought was firmly rooted in Euclidian Geometry, and he used Archimedes idea of calculating the area of the circle in his study of the orbits. It is clear as daylight that you intended to use 'aristotelian', it is no use to persist in defending that verse.

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Can you present the Pythagorean mystical motivation and theological feelings behind his three laws?
I already did. Read again above. Your sketched Straw Man here, implying that he derived the three laws from Pythagorean or neoplatonic theological ideas is pathetic. I am not talking about a mathematical process, but about his basis of reasearch, the grounds on which he approached the study of nature.

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Copernicus theory originated also in the ancient Greek world for what's worth.
This is your oversimplification of the problem. So to preffer Aristarchus over Aristotle was scientific? To preffer the Copernican over the Ptolemeyc model without any empirical evidence (which Kepler and Galileo did) is scientific?

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of Tycho and himself.
It seems you need some explanation on the problem. It was crucial for Kepler to rely on Tycho's observations in order to develop his laws.

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.

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Straw man! We were talking of the model of the solar system, not of geometry. You can point out even to an Egyptian hieroglyph, you won't make a point.
Straw man Straw man. :snooze: If you can't say properly what you want, stop throwing assertions around. 'I was meaning this and that', in order not to admit you are wrong.

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Bernard of Chartres formulated it in 12th century.
Yes, I was only aware of Newton. My mistake.

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<edit>That it's not the original quote but a paraphrase.
http://www.kolel.org/pages/reb_on_t.../shoulders.html
http://www.duke.edu/~aparks/Calin1a.html
http://home.comcast.net/~icuweb/c02410.htm
Just look for shoulders+giants+Bernard+Chartres and eventually add Hooke, Newton and others to find how the paraphrase evolved. Better would be to actually grab a book about the history of Western thought but I already adviced you that and it seemed it was too much to ask. Google is your best source of knowledge, at least use it properly!
Is always nice to see the hasty generalisations, but coming from you it's no surprise. Knowing that Bernard the Chartre used it before is indeed a fabulous piece of knowledge. My lack of it shows my ignorance of the whole hisory of western thought or science. And you are of course correct in everything you say because Bernard said it first. :rolling:

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Sure it is, read his work and see why the universe is infinite. You will be amazed about a similar argument. Maybe spin will be so kind to provide us a quote in Italian
I read his work, but still you are providing no argument. As usual.

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For instance, you can read Einstein's The World As I See It, a book full of not scientific claims.
Really? You managed to read it? No effects I see. What was the crazy stuff Einstein said again? Browse slowly and look for something.

Just a hit point for those weak in spirit: The World As I See It is not a treatise about physics.

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First, you could try to see what New Astronomy and The Harmony of the World say, though they are hard books to be read. Second, let me tell you how he started to build his orbits (the orbit of Mars, a planet he observed by himself at Tubingen). By small triangles pointing to the sun having the base edge as the interval between two observations. See? It's a mystical, theological method of determining an orbit from observations. He also tries different shapes to describe the orbit he calculates. He attempts with various circles and ellipses and refutes them. He even admits that the ellipses he obtains are not the exact shape, but that the differences are so small that are insignificant.
I knew that this was more intellectually challenging than remembering a quote. And he did not use the observations made at Tubingen. Get over it.

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:
Originally Posted by Kepler
My argument was as in Chapters 49, 50 and 56: The Circle of Chapter 43 is wrong because it is too large, and the ellipse of Chapter 45 is too small. And the amounts by which they respectively exceed and fall short are the same. Now between the circle and the ellipse there is no other intermediary except a different ellipse. Therefore the path of the planet is an Ellipse; ...
[New Astronomy]
So, there is actually no method for finding the orbits. What he did with the second law is to fit his metaphysical assumptions into the data, a process that proved successfully, and was able to make pretty accurate predictions - See above the perfect solids. He performed a long process of trial and error, and with a chance of 'divine intervention' he obtained that relation between the circle and the ellipse. There is no systematic way in which he arrived there. In what sense were they scientific then? Based on observations were also the Ptolemeyc ones. His neoplatonic harmonious solids too. They too made predictions. Things are not simple, and the metaphysical grounds on which he arrived here complicate things even more.

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You can't defend an idea you don't understand it. You can defend it's name, but what's in a name, would a Romeo ask? You'll get to my t-shirt parody. Every Einstein T-shirt wearer is a staunch advocate to science, no matter that he barely can count his pocket money.
Speak for yourself. Read Cena de la Cerneri. It's not a T shirt.

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Bla, bla. This was said so many times in this thread and never dismissed.
Good. Then what you are attacking is a straw man. I never claimed that Bruno was a scientist.

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It seems you have little knowledge of what natural philosophy means. This was the science we talk about in 17th century.
And magic was the science we talk about in the 1st century? You don't want to face the problems of demarcation, and take refuge in renaissantist taxonomy. It won't make the problem go away.

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Kepler's view contained things which are scientific (natural philosophy, I will use this term to stop confusing you) and things which aren't. Some do not invalidate the others.
The thing that is erroneous to do is to brake the thinking of a man into convenient parts and to use Confirmation Bias in order to select what was confirmed later (future evidence maestro?). The metaphysical, neoplatonic and Pythagorean grounds that drove him cannot be ignored. After all, this led him to exceptional discoveries. I am not saying that this invalidates the fact that he advocated empirical observation and testing of hypotheses, but his results are not owed to some pure, idealised and mysterious scientific method.

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Amazingly how you snipped out exactly the quote I evocated (probably it didn't fit your argument so well).
"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...The mathematician's pay would be so low, that the mother would starve, if the daughter did not earn anything "
So he talks about the astrology he practices, not about the astrology performed by sharlatans, as you insinuate.
Unfortunately, I left that out because you already knew it. But you missed the first proposition.

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.

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This is exactly what argument from future is about. Bruno Nolandamus presentes .... The Prophecy
You don't understand even the made up fallacies you use: it is about evidence that will come and will support your point of view. How this applies here, only you know. You probably are unaware of Kepler's ideas about the attraction of bodies. Whatever.

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Brahe studied that nova in 1572. What are you talking about?
It wasn't that nova. I am talking about Kepler's Star, observed in 1604. He even had a small book about it. Comparing the two and extracting some wonderfull astrological significances from his observation.

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If your reality is so simple, who am I to complicate it? Keep your rhetoric for yourself. This is your pattern of thinking and I'm not following it.
Of course.

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I'm not teaching you, I'm teasing you and tell you to read. You should learn from books, not from me.
I am not learning from you anything, except to admire your skill at Personal Attacks and Ad Hominems. Your advices are not a substitute for arguments: this rudeness is not making you correct.

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Just google better. You will find several guys who make up such fallacies.
Talking about sites and fallacies, appeal to authority is not listed in that site? Oh well, how could you ever argue that what's on that site is teh list
Appeal To Authority is always difficult for people below median intelligence to understand.

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?

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It doesn't say many but everyone. Everyone but the one in question.
For argument's sake just prove the Earth is not flat. When you'll realize you can't do it, you'll understand that inter-subjectivity (in science such a thing is hidden under peer-review) matters a lot.
Everyone? Meaning if you are in a room with IDiots that think that Irreducible complexity is proven, you should accept it? Great.
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Old 10-26-2005, 05:44 AM   #348
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Originally Posted by NOGO
Quite true but there is more.

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.
Exactly. The accent of reforming Astronomy came from Tycho, exemplified by his lifetime work of aquiring the best possible observations, and it underlined the importance of empirical observations in science. And if it wasn't for Tycho's accuracy, Kepler could have accepted the 8 min difference as a measurement error, instead as a problem with the theory, and Mars' orbit would have remained circular.
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Old 10-26-2005, 09:30 AM   #349
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You still dare to show up? :devil3:

Quote:
Originally Posted by Bobinius
There is something to be understood: your claim was false.
I have already shown that Kepler was driven by Greek ideas, Pythagoras and Platonic/neo-platonic ones in his metaphysical and mystical approach on the study of Nature. Also, his mathematical thought was firmly rooted in Euclidian Geometry, and he used Archimedes idea of calculating the area of the circle in his study of the orbits. It is clear as daylight that you intended to use 'aristotelian', it is no use to persist in defending that verse.
You're dead wrong. To determine a non-circle area with triangle areas (he used a primitive form of calculus called by him "the calculus of indivisibles") it's nor Archimedean, nor Greek (though bears a resemblance). Showing that he used Euclidian elements (wtf, we even use them today) it clearly misses the point and it's a strawman.


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I already did. Read again above. Your sketched Straw Man here, implying that he derived the three laws from Pythagorean or neoplatonic theological ideas is pathetic. I am not talking about a mathematical process, but about his basis of reasearch, the grounds on which he approached the study of nature.
You did not. You have not a clue about Kepler's work and slowly enlighten yourself from Google. It will take a while until you'll be able to deal with this conversation.
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.

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This is your oversimplification of the problem. So to preffer Aristarchus over Aristotle was scientific? To preffer the Copernican over the Ptolemeyc model without any empirical evidence (which Kepler and Galileo did) is scientific?
Your rhetoric only uncoveres the strawmen you have.
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.

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It seems you need some explanation on the problem. It was crucial for Kepler to rely on Tycho's observations in order to develop his laws.
It was crucial for his accuracy (as Tycho's observations are reknown even today for their accuracy), but the method remains the same. Probably the ellipses would have had other equations, probably the other laws would have had other forms, but a potential different set of input data is not conflicting with the methodology. And as long as you don't understand that the difference between science and other types of knowledge is in method, you dont' understand anything in this discussion.

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He was busy working on the mathematics, not observations.
Though I agree with most you said in 1, 2 and 3 this is misleading and false.
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.

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Straw man Straw man. :snooze: If you can't say properly what you want, stop throwing assertions around. 'I was meaning this and that', in order not to admit you are wrong.
Don't be foolish. Kepler's ellipse is a precise concept, which hold subconcepts like "focus" which the Greek ellipse (or the Egyptian hieroglyph ) does not have. Don't confuse a mathematical well-described ellipse with a tilted circle.
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.

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Yes, I was only aware of Newton. My mistake.
Your mistake??? You arrogantly told me I have no idea what I'm talking about and you googled for a poor encyclopaedia entry to back up your point. You proved that your argumentation has two ingredients: errors and ego.

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Is always nice to see the hasty generalisations, but coming from you it's no surprise. Knowing that Bernard the Chartre used it before is indeed a fabulous piece of knowledge. My lack of it shows my ignorance of the whole hisory of western thought or science. And you are of course correct in everything you say because Bernard said it first. :rolling:
I know my English is bad but your understanding is terrible. I haven't held the fallacious reasoning you show above, I just pointed you the field you should study to find such informations. If you're satisfied with Google and encyclopaedias, I can't help, but following this track you will be prone to such mistakes from now on, as you did until now. If you take this as a personal offense, it makes the things even worse for you.

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I read his work, but still you are providing no argument. As usual.
You haven't read it.

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Really? You managed to read it? No effects I see. What was the crazy stuff Einstein said again? Browse slowly and look for something.
So you haven't read this book, either. Come on, this is an easy one

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Just a hit point for those weak in spirit: The World As I See It is not a tretise about physics.
Nor Kepler was talking about physics when he talked about astrology, but you didn't make that difference for him. You cared about showing that a scientist (natural philosopher) can hold unscientific views. Surely they can. So did Kepler, so did Newton, so did Einstein. It's however true that in Kepler's time the difference between scientific and not-scientific was considerably smaller (often one could argue both with physical and metaphysical arguments).

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I knew that this was more intellectually challenging than remembering a quote. And he did not use the observations made at Tubingen. Get over it.
Argument from ignorance.

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Again: How did he arrived at his laws 'scientifically'?
You were told. Improve your reading skills. Or better, try to read at least some briefs on his works and see what exactly he did.

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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.
You have not read Kepler. Otherwise you'd have knew of his calculus. Your knowledge of mathematics is also poor. Otherwise you'd knew that to calculate the area of a circle using Archimede's method and calculate the area of an ellipse like Kepler did there are some significant differences.


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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.
So are the models in science today. It seems you're trying to explain the forming of a hypothesis.

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It is obvious that if Kepler did not preffer the Copernican system, it would have been impossible to formulate the laws.
That you don't know. All we know is that he took the data and abandoned even his preconceptions (and the preconceptions of his time) in order to find the correct shapes of the orbits.

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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.
Ignorant bla bla = lots of post hocs and non sequiturs. Just for a thought exercise - to correctly circumscribe the perfect solids you need spheres not ellipsoids :Cheeky:
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.

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Now, he had the presumption of the Copernican model based on neoplatonic/pythagorean grounds.
Ad nauseam, non sequitur, post hoc and false. You may say that he liked this model for being able to match it with his theological views. Though you have no proof if his theological views were influenced by his findings or otherwise. What's certain is that when he defeneded Copernican view (unusual for his time, though the model had some impact as a hypothetical alternative) he defended both on physical and metaphysical grounds. He placed sun in the center because of its heat as source of energy and motion. He sometimes argued that driving force could be magnetism.

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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!
Dude, between Mysterium and his Laws there are many years. You're making a mess from his entire life and work, not to say about your clumsy interpretations (yours or from the article you got this brief). You probably missed when Kepler even proposed heat or magnetism to explain the interaction between Sun and planets.

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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.

So, there is actually no method for finding the orbits.
I don't know what's your source, but it's deadly wrong on several accounts.
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".

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What he did with the second law is to fit his metaphysical assumptions into the data, a process that proved successfully, and was able to make pretty accurate predictions - See above the perfect solids. He performed a long process of trial and error, and with a chance of 'divine intervention' he obtained that relation between the circle and the ellipse. There is no systematic way in which he arrived there. In what sense were they scientific then? Based on observations were also the Ptolemeyc ones. His neoplatonic harmonious solids too. They too made predictions. Things are not simple, and the metaphysical grounds on which he arrived here complicate things even more.
You're wrong as you were shown above. In that googled quote he only says that between an ellipse and a circle, the intermediary figure is also an ellipse which is correct.
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.

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Speak for yourself. Read Cena de la Cerneri. It's not a T shirt.
The subtleties of human language - today's lesson is parody. Student Bobinius, you have a F.

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Good. Then what you are attacking is a straw man. I never claimed that Bruno was a scientist.
He, he the strawman is yours. Did I say you claim Bruno is a scientist?
I just pointed out your ad nauseam and the futility of a sentence which is accepted by everyone who wrote in this thread.

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And magic was the science we talk about in the 1st century? You don't want to face the problems of demarcation, and take refuge in renaissantist taxonomy. It won't make the problem go away.
What??? Renaissantist taxonomy? :rolling:
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.

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The thing that is erroneous to do is to brake the thinking of a man into convenient parts and to use Confirmation Bias in order to select what was confirmed later (future evidence maestro?). The metaphysical, neoplatonic and Pythagorean grounds that drove him cannot be ignored. After all, this led him to exceptional discoveries.
Straw man. I have not refered post-Keplerian finds in astronomy. As for your claimed drive there's a fallacy which is called post hoc. I already addressed this neoplatonism - Kepler's laws connection above and I expect you to give a counterargument there. Until you won't prove the causality, this entire point you made here it's fallacious.

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I am not saying that this invalidates the fact that he advocated empirical observation and testing of hypotheses, but his results are not owed to some pure, idealised and mysterious scientific method.
I wonder if you really know what scientific method is. No one questioned why Einstein chose a 4D model to back up his theories. It was scientific that he built his hypothesis to justify some data and then confronted it against data to test it.

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Unfortunately, I left that out because you already knew it. But you missed the first proposition.

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.
Ad nauseam. It compares the astrology he practices with astronomy, the thing which I said and you keep opposing. I see no other astrology here. There's no connection between this paragraph and the other quote talking about "genuine astrology" other than your fallacious post hoc.
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.

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You don't understand even the made up fallacies you use: it is about evidence that will come and will support your point of view. How this applies here, only you know. You probably are unaware of Kepler's ideas about the attraction of bodies. Whatever.
I haven't quoted Kepler to be a scientist for he proposing magnetism (though it's a reasonable, naturalistic hypothesis) to keep his solar system working. Nor for him proposing other mystical arguments to keep his solar system together. I just described his work to create his three laws (and not only, his optics also worth mentioning) as proving a naturalistic, scientific attitude. If anyone argues about Bruno to advocate science must do it within his time, similarily as we talk about Kepler.

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It wasn't that nova. I am talking about Kepler's Star, observed in 1604. He even had a small book about it. Comparing the two and extracting some wonderfull astrological significances from his observation.
Oh, that's the year I asked a bit earlier. I understand now what you mean, but as I shown above you're wrong about his observations. He made his own observations on Mars and other bodies.


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I am not learning from you anything, except to admire your skill at Personal Attacks and Ad Hominems. Your advices are not a substitute for arguments: this rudeness is not making you correct.
As I said I'm not teaching you, I don't see why would you learn from me anything. As for rudeness, you're no angel. From a guy that makes his entrance in this thread insulting one of the posters you won't receive anything better from me until you'll settle down your tone.


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Appeal To Authority is always difficult for people below median intelligence to understand.

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.
Please prove the site you quoted is an authority in "fallacy" subject. You failed until now and while you'll keep failing you just did an appeal to authority, like all who quote that site

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What kind of fallacy is the Argument from the Future you quoted? What type: fallacy of relevance, appeal to motive, non sequitur?
I offered you a link and a description. If you cannot understand the errors being made, what can I do more?
What type of fallacy is? Well, from what you've listed it's a non sequitur and a fallacy of irrelevance.

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Everyone? Meaning if you are in a room with IDiots that think that Irreducible complexity is proven, you should accept it? Great.
If your world is reduced to a room I only can pity you.
Lafcadio is offline  
Old 10-26-2005, 10:50 AM   #350
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If anyone is still interested, I've blogged on the lightning conductor myth here.
 
 

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