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Messages - Roundabout

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1
Flat Earth Theory / Science and FET
« on: May 08, 2016, 05:07:34 PM »
(I’m starting a new thread because the discussion in “Some Perspective on Perspective” has drifted beyond the topic of perspective. I hope that’s OK.)

Here’s the problem for Flat-Earth Theory: By an unfortunate coincidence, the sun, Moon, planets, their moons, stars, and even the putative earth-orbiting satellites happen to look and move exactly like they would look if mainstream round-earth science were true. This is also true of the earth itself, with some disputed exceptions noted below, and of the purported photos of the earth from space. So the challenge for the FE camp is how to rationally persuade RE believers to hop on the FET bandwagon. The only way I can think of to do this is to demonstrate that FET explains the observations explained by mainstream RET science better than RET does. Here is where FET runs into some problems, for example in explaining how the sun appears to rise and set in a manner consistent with FET:

The math is very limited, and assumes that local effects hold true endlessly. Unless you have accurately experimented at all scales, it cannot be said that we know how things will look like at all scales based on math alone.

The universal laws and principles of the physical sciences are independent of scale or location, otherwise they would not be universal. It’s reasonable to assume, for example, that chemistry follows the same principles on Neptune as it does on the earth, because those principles have been found to hold wherever they have been tested, and they have been tested very extensively indeed, experimentally and by other forms of observation. Of course it's conceivable that chemistry works on different principles on Neptune or the Andromeda galaxy, but we have no evidence pointing in that direction and therefore no good reason to think so.

The same is true of the laws and principles of thermodynamics, optics, gravitation, etc. If, after a vast amount of testing by observation including experimentation, we always find that light follows Fermat’s principle, i.e., takes the least-time path (usually a virtually straight line), then it’s reasonable to assume that light follows the same rule in a new situation, absent evidence to the contrary. (I know the situation is more complicated from the point of view of quantum mechanics, but let’s stick with macroscopic physics for the time being.)

Thus if we want to predict how the sun would appear at a height of 3000 miles above a point 8000 miles distant from the observer on a flat earth, the principles of optics and our knowledge of the composition and structure of the earth’s atmosphere will give us a pretty exact answer. Inconveniently for FET, the answer is not that the sun will appear to be setting. Of course, it is possible that our theories of optics could be wrong in some respects, such that the sun would appear on the horizon. But at this point we have absolutely no experimental or theoretical evidence that this is the case, so the rational prediction is the one given by our thoroughly tested and understood principles of optics and well-understood composition of the atmosphere. The only remotely plausible way the sun could appear to be setting, consistent with mainstream physics, is that the light from the sun undergoes a huge amount of refraction, which is inconsistent with what we know about the atmosphere and would cause the sun to appear somewhat rotated upward when setting (this could be checked with sunspots). And if you think mainstream physics is wrong, let’s please see some actual evidence.

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And here’s the thing: we already have a theory that explains, simply, with great accuracy, and consistently with the rest of our scientific knowledge, how the sun and other celestial objects appear and their positions and paths through the sky.

"Zeus and the other gods did it" is also a theory that explains everything. That's why experimentation is necessary, I am afraid.

“The gods did it” is not a scientific theory. In any case, scientists have already done a huge amount of experimentation and other types of observation, resulting in mainstream physics and astronomy, including a round earth. They’re quite amazingly successful in explaining what we observe. Virtually the only way in which flat-earthers claim mainstream physics and astronomy are unsuccessful is in explaining a relatively few supposed observations, such as the horizon remaining at eye level as you go up (no it doesn’t), water surfaces appearing to be flat, and ships’ hulls remaining visible many miles away. If you think these are real anomalies for RET (i.e., cannot be explained consistently with RET), then you should document them carefully and get them into a peer-reviewed scientific journal. You could just call them “unexplained anomalies” without mentioning the shape of the earth. Then we can talk; until then you just have unverified anecdotes.

And to be rationally persuaded to jump on the FET bandwagon, we need to see mutually consistent FET explanations of all the observations that mainstream physics and astronomy explain, and that explain some observations that the mainstream explanations cannot. We could start with the supposed spiral path of the sun above a flat earth: what is the FET explanation? Then we can move on to how the sun produces the energy it radiates, how starlight is produced, what explains the different spectra of stars, the different types of stars and their origins, galaxies and the red shift of their spectra, meteors, star clusters, binary stars, dust clouds in the Milky Way, Cepheid variable stars, the fact that the radar echo takes several minutes to return when a signal is bounced off Venus, the specific patterns of seismic waves, apparent volcanoes on planets and their satellites, and countless other observations, increasing by the day. Oh, and how the phases of the Moon appear simultaneously the same across the earth. The Wiki discussion of this topic (second half of http://wiki.tfes.org/The_Phases_of_the_Moon) appears not to understand what “phase of the moon” means, to dictionaries as well as astronomers.

2
A related genre is the "I-don't-understand-why-this-piece-of-equipment-looks-this-way-therefore-fake" category. For a classic example, see this Wiki page:
http://wiki.tfes.org/A_Close_Look_at_the_Lunar_Lander

3
Roundabout, has overwhelming condescension always been your dominating personality trait or is this just an aberration of your character?

Always been my dominating personality trait.

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It looks phoney to me because the surface looks smooth and shiny, in contradiction to any real dusty, dirt covered surface I've ever seen photographed, and in contradiction to what is shown in the thousands of other photos and videos of the surface allegedly captured by Apollo astronauts.

If you look near the bottom of the image at full zoom you'll see some rough-looking surfaces. The cameras were 83 miles above the lunar surface, not on the ground, so that may account for some differences from ground photos.

In any case, your objection is another instance of the "I-can't-understand-why-a-real-photo-would-look-like-this-therefore-fake" genre, very popular with Moon Hoaxers. If you don't know what a real photo of the Moon would look like, taken with those particular cameras under those specific conditions, and produced by the same image processing, then you don't really have grounds for concluding that the photo is a fake. If we saw golf courses or ocean beaches in a Moon photo, we would know it was faked, but all we have here is your subjective impression that it looks too smooth and shiny.

4
That's an awful lot of explaining.
Suspension of disbelief at its finest.

Really?  You want to talk about 'an awful lot of explaining' and 'suspension of disbelief' with us?  The Flat Earth has BEST examples:

"Universal" Acceleration, which accelerates the earth, moon, sun, and other celestial objects (if not, the earth would be catching up to and passing some of them) but not any of the objects on or near the earth (as in: when I release a bowling ball in the air above the earth, why does that bowling ball not feel "universal" acceleration and begin accelerating in the same direction as the earth, which would make it appear to hover?)

The Shadow Object, the never-observed moon-like-thing that invisibly casts its shadow upon the moon during lunar eclipses, and otherwise leaves zero observational evidence of its existence.

Celestial Gears, which supposedly explains both why we have wind on the earth's surface, and how the stars rotate one direction in the northern hemisphere while rotating the other way in the southern hemisphere, but fails to address the fact that such a system would look truly bizarre at the equator (the two halves of the sky would have to diverge from each other as they set, in order to rotate in opposite directions from northern and southern latitudes).  And fails to address the fact that such a system is incompatible with the most popular flat earth 'map' on the site.

Bendy Light, a convenient hypothetical construct that allows FE to completely ignore the fact that light travels in straight lines except where it is subject to refraction, and even there refraction functions to move light from one straight-line path to another straight-line path, is well understood, and shows no experimental justification for working differently over long distances than short distances.  Ignore it, that is, until a flat earther uses perfectly-straight-line sun elevation observations to calculate the sun's elevation above a plane earth.  For some reason, when doing that math, the light of the sun doesn't bend or curve at all.

To add to the list, there is the sun's spiraling path above the earth. The sun's motion, if I'm not mistaken, is caused by the Flat Earth Force, the force that causes objects to move in a way consistent with Flat Earth Theory.

And let's not forget the Great NASA Conspiracy, by orders of magnitude the largest and most successful conspiracy in the history of the world.

5
https://www.google.com/search?q=earth+from+moon+apollo&prmd=ivns&source=lnms&tbm=isch&sa=X&ved=0ahUKEwivkPrxzcjMAhVC8x4KHciKCgcQ_AUIBigB

Which is it? What does earth look like from the moon? How big does it look?

The full earth subtends about 2 degrees viewed from the Moon. The apparent size of the earth in a photo, of course, depends on whether a zoom lens was used, whether the photo was cropped, etc. The colors in a photo also depend on the camera and the specifics of how the data was processed to create the image. The same is true of pretty much any photographic subject.

6
Dude, the picture looks like a 3d render from 1997. I can't believe how much shit you guys are willing to shovel into your mouth from NASA just to keep your space fantasy alive.

I'm not ddebating the shape of the earth right now, I'm appealing to common sense here. That "photograph" looks phoney as hell, no debate.

Even on a spherical earth I do not believe in space travel and this graphic certainly doesn't convince me.

You still haven't mentioned any specifics as to why it looks phony to you. When people say that something looks phony or fake, they can generally point to something that doesn't look right and explain why. You do realize, I trust, that the webpage says that the raw data from the cameras was processed in the ways described to generate the image.

7
That's an awful lot of explaining. Just admit it looks fake. Doesn't even look like the surface from the fans Apollo footage, you think they would be consistent.

We need something more helpful than "it looks fake." What specifically looks wrong, and why? What is the far side of the moon supposed to look like from 83 miles up? If you zoom the image to the max (button at upper left) you can see a lot of detail on the lunar surface, particularly near the bottom of the image, much closer to the cameras than near the lunar limb.

Bear in mind that the moon has very little water (no liquid water) and almost no atmosphere, and meteors have been using it for target practice for billions of years.

8
Flat Earth Theory / Re: Some perspective on perspective
« on: May 06, 2016, 09:02:39 PM »
Tom Bishop:
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Show us a real world example of how objects at that sort of distance appear and behave.
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So yes, we will need some kind of real evidence that things work as you say they work, not a diagram.

This is like saying we don’t know what would happen to a 15 kg cannonball dropped from an aircraft at 20 km above the earth’s surface, because no one has done this exact experiment. Actually, we know to a practical certainty what would happen in those cases, because we have an extraordinarily well-developed science of physics that is extremely successful at making predictions and that can predict what would happen in this case, and even take into account air resistance and the Coriolis effect.

Similarly, we have an extremely successful and well-developed science of optics that explains what happens to light as it passes through air, taking into account moisture, dust, and temperature and pressure gradients. So we can predict how the sun would appear to the observer in the diagram, and on the basis of the science of optics there is no reason to believe that the sun would appear to be on or near the horizon. Nor does optics give us any reason to believe that the sun would maintain the same angular diameter throughout its course. You know, scientists have studied light and its interactions with matter for centuries.

Sure, it’s possible that a very successful theory could be wrong in some respects. But then you have to provide some basis, in theory or experiment, for believing the theory to be wrong, if you want to be taken seriously.

And here’s the thing: we already have a theory that explains, simply, with great accuracy, and consistently with the rest of our scientific knowledge, how the sun and other celestial objects appear and their positions and paths through the sky. I understood this theory and how it explains these phenomena at around the age of 5 or 6, not because I was precocious but because it’s that simple to understand. And FET, in order to fix what isn’t broken, posits new, unsupported and unconfirmed theories of physics that are inconsistent with the rest of our scientific knowledge. What about Occam’s Razor?

9
Brought to you by the Vast Conspiracy:

Visit http://lroc.sese.asu.edu/posts/895, then scroll down nearly to the bottom, where you will see a large image of the earth. If you like, click on the Full Screen button at the bottom of the image, then click on the + sign at the upper left a few times. Many details of the earth's surface can be seen, including the east coast of the US and the Great Lakes at the upper left, and Europe at top center. And if you zoom in far enough, it looks flat.  :D

The rest of the page tells how the image was created. To get a hi-res color image of the earth from the moon, particularly with this image's spectacular occlusion of the earth by the moon, just attaching your Canon point-and-click to the Lunar Reconnaissance Orbiter doesn't suffice.

10
Flat Earth Theory / Re: The Great NASA Conspiracy
« on: May 05, 2016, 09:24:19 PM »
Here's a recent (Oct. 2015) hi-res image of the Earth from the moon, taken by the LRO:
https://www.nasa.gov/image-feature/goddard/lro-earthrise-2015

Here's how the image was made:
http://lroc.sese.asu.edu/posts/895

11
Flat Earth Theory / Re: Some perspective on perspective
« on: May 05, 2016, 09:08:27 PM »
Math is a purely logical construction; it concerns what can be deduced from an initial set of propositions. So the only way to refute a mathematical conclusion (i.e., a statement that proposition P can be deduced logically from the initial premises A, B, C,…) is to show a logical error in the proof.

An error in the proof is that parallel lines seem to converge in contradiction of theory.

I’m having a hard time making sense of your responses, Tom. You seem to be saying that if parallel lines, such as railroad tracks on a flat surface, seem to your eyes (your brain, actually) to meet in the distance, then that refutes Euclid somehow. But so far as I know he never claimed that parallel lines will never appear to meet no matter how distant they are, and even if he had made such a claim, it wouldn’t have been as a part of any geometrical theorem.

As others have pointed out, our eyes have limited resolution capabilities: our vision can’t separate two objects 0.001 seconds of arc apart in our field of view. But they are still two separate objects.

 Look, Tom, if you’re trying to make converts to FET, this isn’t the way to do it. You need to write in such a way that RE believers as well as fence-sitters can at least make sense of what you’re saying.

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In the Elements, Euclid defined parallel lines as lines in the same plane that never meet no matter how far they are extended in either direction. So if two lines meet, by definition they are not parallel in Euclid’s sense. Saying “these two parallel lines actually touch, therefore Euclid was wrong,” is like saying “this triangle has four sides, therefore Euclid was wrong about triangles.”

Elucid was wrong about a lot of things. Look up Zeno's Paradox. The Greek model of the universe is flimsy.

Zeno’s Paradoxes are interesting philosophical questions, but I don’t see what they have to do with perspective, the topic of my OP.

And I haven’t seen a reply from any FE believer to my demonstration upthread that the sun would have to be at least a million miles away for it to appear to touch the horizon while remaining 3000 miles above the earth.

12
Flat Earth Theory / Re: Explanation of sun's motion
« on: May 01, 2016, 05:35:45 PM »
I would still like to see a reply to the questions I posed in my OP. In particular, I would like to see the FET explanation of the causes of the sun's purported motions over the surface of the earth. I offered a possible explanation to get things started. To recap, I suggested that the sun is tethered by a spring to the North Pole, which extends at least 3000 miles above the earth's surface. The dynamics of a spring explain the seasonal variation of the sun's position beautifully.

So let us please see an explanation from the FE camp; otherwise we may have to go back to the theory of that nasty Isaac Newton, which involves a round earth.

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Flat Earth Theory / Re: The Great NASA Conspiracy
« on: May 01, 2016, 04:30:06 PM »
The claim was that the amount of foresight and cooperation required would be super-human.
No, it might seem super-human to you, just as acrobats, mathematicians, and magicians might seem super-human to you.
They aren't, they just know things you don't and possess skills that you lack.

We know how acrobats and magicians do what they do, or at least we know that it's within human capabilities. What no one has explained is how a conspiracy with the size and scope of the alleged NASA conspiracy could plausibly be carried out. The Apollo program began over 50 years ago, and tens of thousands of people have been connected with NASA in one way or another as employees, contractors, family members of the above, etc. There have been no whistleblowers, deathbed confessions, drunken admissions, people selling their tell-alls to tabloids, people finding Jesus and deciding to confess the truth, or other indications of a conspiracy. I've invited the conspiracy theorists to visit my university to meet some people who have had close, direct dealings with NASA for decades (including a former astronaut), to get a taste of reality, offering $100 as an incentive. I think my money is safe.

14
Flat Earth Theory / Re: Some perspective on perspective
« on: May 01, 2016, 04:20:35 PM »
You earlier said "The model the Greeks proposed is clearly wrong when it comes to things that are far away. The simple fact is that the lines touch" and here YOU are simply mistaken! As I have tried to get across with parallel lines the simple fact is that the lines DO NOT touch, they do APPEAR to TOUCH.

If one looks at the scene, they do touch. It's a factual statement. "Appear" is implied.

According to the mathematical model of the Ancient Greeks, they should never touch.

Math is a purely logical construction; it concerns what can be deduced from an initial set of propositions. So the only way to refute a mathematical conclusion (i.e., a statement that proposition P can be deduced logically from the initial premises A, B, C,…) is to show a logical error in the proof.

In the Elements, Euclid defined parallel lines as lines in the same plane that never meet no matter how far they are extended in either direction. So if two lines meet, by definition they are not parallel in Euclid’s sense. Saying “these two parallel lines actually touch, therefore Euclid was wrong,” is like saying “this triangle has four sides, therefore Euclid was wrong about triangles.”

If logically valid math gives you the wrong answer when applied to the real world, the problem is with how you have applied it, not with the math.

Example: Ancient Greek arithmetic says 1 + 1 = 2. So you take one rabbit and put it in an enclosure. Then you put another rabbit of the opposite sex in the enclosure. You come back in a few months, find a dozen rabbits in the enclosure, and declare that the world model of Greek arithmetic is wrong. But the error is actually in how you have applied the math.

Example: Euclid proved that, given the axioms, postulates, and definitions from which he begins, the angles of a triangle on a flat plane sum to two right angles (180 degrees). No one has found an error in his proof in 2,300 years. Now you find a triangle somewhere, measure the three angles, and find that the sum is 181 degrees. Aha, you say, Euclid’s world view is wrong. No, his proof is correct. There could be several reasons why your sum differs from Euclid’s: Your measuring instruments could be inaccurate. Rounding errors could add up to a degree. You lost your glasses and misread your instruments. The sides of the triangle are not perfectly straight. Or, the sides of the triangle are actually great-circle paths on the surface of a spherical planet, whereas Euclid’s proof concerns triangles on a flat plane.

Example: You look at straight railroad tracks extending miles into the distance on a flat plain. You observe that what your brain tells you are rail lines in your field of vision meet at the horizon, and conclude that Euclid’s world view is wrong. No, you’ve just misapplied his reasoning. He never said that parallel lines will never appear to meet in your field of vision, no matter how far away they are. Now you look at the lines through a telescope, and the lines you see don’t meet any more. Hmm.

So what you seem be saying is that if lines in your field of vision actually meet as interpreted by your brain, then the lines out there, miles away, actually do meet. But that doesn’t explain why they don’t meet any more when viewed through a telescope. Nor is it consistent with our everyday observation that what looks like an ellipse turns out to be a circle when viewed from a different angle.

15
Flat Earth Theory / Re: Some perspective on perspective
« on: April 30, 2016, 10:09:25 PM »
If I understand you, you are saying that the line segments in the projection will meet if extended. I agree; they will meet at the vanishing point. But line segments that are projections of (actual, finite) parallel lines will not actually meet in the 2D plane, although they can come close enough so that the eye cannot tell the difference. In the same way, vertical lines like telephone poles will meet at the zenith if extended, but will not actually meet there without being extended.

You are exactly right about this. I was being too pedantic. Parallel line segments will never ever meet on the 2D projection. They only appear to meet if they are so far away that the human eye can't distinguish the distance between them.

There's no such thing as "too pedantic" in my world. At any rate, our parallel thinking processes seem to have met in the 2D plane of this forum.

16
Flat Earth Theory / Re: Some perspective on perspective
« on: April 30, 2016, 09:46:45 PM »
The math of the ancient Greeks says that two parallel lines should never touch. But, as admitted, they visibly do touch. How is that a proof that the Greeks were correct in their world model? That is direct evidence that they were wrong about their world model.

The "math of the ancient Greeks" says that parallel lines SHOULD appear to touch on a 2D projection. And they do. What's the problem?

Please try to understand the distinction:
They DON'T actually touch in reality, by definition.
They DO touch in a 2D projection.

Minor correction: the projection of actually parallel lines from 3-D space onto a plane will always be separate lines that never meet. Projection onto a plane is just like looking through a window pane and imagining what you see to be painted on the glass. However, they could be so close together on the plane that the human eye could not tell whether they actually met or not. That's a question of human eye's perceptual capability, not geometry.

No. We are talking about a perspective projection here. The lines will absolutely always meet on a 2D perspective projection. They will meet at the vanishing point. The vanishing point is a very real and calculable point on the 2D plane. It has nothing to do with the human eyes' perception capability.

If I understand you, you are saying that the line segments in the projection will meet if extended. [Edit: Or you were simply referring to infinite parallel lines, while I was talking about lines with a finite length.] I agree; they will meet at the vanishing point. But line segments that are projections of (actual, finite) parallel lines will not actually meet in the 2D plane, although they can come close enough so that the eye cannot tell the difference. In the same way, vertical lines like telephone poles will meet at the zenith if extended, but will not actually meet there without being extended.

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The vanishing point is NOT a real point in 3D space. I think this is what confuses people.

That is certainly one thing that confuses people.

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Edit: If you parameterize the lines according to their distance away from the observer in 3D space, then you can never reach the vanishing point on the 2D plane by increasing the parameter. Perhaps this is what you mean? If this is what you mean, I would advise against pushing this point, because it seems to be confusing Tom Bishop. Keep it simple as possible.

I'm not sure what you mean here. In any case, I'm trying to keep things "as simple as possible, but not simpler."  ;)

17
If the evidence from NASA is any actual indication of reality, then it appears that flatness is the normal shape for objects in the known universe.  We have observed both the moon and Mars from right at the surface and in both cases the surface is shown to be flat.  It is inconclusive as of yet, but (again, assuming NASA can be trusted) it seems that large objects tend to flatness as a general rule.

No, the lunar and Martian surfaces have not been shown to be flat. If the photos of their surfaces were incompatible with a round Mars and moon, every astronomer in the world would have had a WTF? moment, and they'd probably be still saying it.

18
Flat Earth Theory / Re: Some perspective on perspective
« on: April 30, 2016, 09:00:03 PM »
The math of the ancient Greeks says that two parallel lines should never touch. But, as admitted, they visibly do touch. How is that a proof that the Greeks were correct in their world model? That is direct evidence that they were wrong about their world model.

The "math of the ancient Greeks" says that parallel lines SHOULD appear to touch on a 2D projection. And they do. What's the problem?

Please try to understand the distinction:
They DON'T actually touch in reality, by definition.
They DO touch in a 2D projection.

Minor correction: the projection of actually parallel lines from 3-D space onto a plane will always be separate lines that never meet. Projection onto a plane is just like looking through a window pane and imagining what you see to be painted on the glass. However, they could be so close together on the plane that the human eye could not tell whether they actually met or not. That's a question of human eye's perceptual capability, not geometry.

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Flat Earth Theory / Re: Some perspective on perspective
« on: April 30, 2016, 08:41:18 PM »
From the Wiki (http://wiki.tfes.org/Sinking_Ship_Effect):

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On the sinking ship, Rowbotham describes a mechanism by which the hull is hidden by the angular limits of perception - the ship will appear to intersect with the vanishing point and become lost to human perception as the hull's increasingly shallow path creates a tangent on which the hull is so close to the surface of the ocean that the two are indistinguishable. The ship's hull gets so close to the surface of the water as it recedes that they appear to merge together. Where bodies get so close together that they appear to merge is called the Vanishing Point.

That is not what “Vanishing Point” generally means in discussions of perspective. It means a point on the drawing board or canvas toward which lines representing actually parallel lines (such as railroad tracks) appear to converge in the drawing, whether or not these lines actually meet in the drawing. By extension it refers to a similar point in one’s field of vision; for example, all actually vertical lines appear to converge toward the zenith (and nadir). However, if the author of the article wants to use “Vanishing Point” in a special sense as a technical term for purposes of this discussion, that’s fine as long as we don’t confuse it with the normal sense of the term. So let’s call a point at which two objects appear to merge from a specified viewpoint a “VPM.”

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The Vanishing Point [VPM] is created when the perspective lines are angled less than one minute of a degree. Hence, this effectively places the vanishing point [VPM] a finite distance away from the observer.

Usually it is taught in art schools that the vanishing point [VPM] is an infinite distance away from the observer […]

Nope. This would be equivalent to saying that the human eye can always distinguish two objects, i.e., see them as two separate objects, no matter how far they are from the observer. Maybe there are art teachers who are that ignorant of their own subject, but I don’t know of any.

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[drawings omitted]
This finite distance to the vanishing point [VPM] is what allows ships to shrink into horizon and disappear as their hulls intersect with the vanishing point [VPM] from the bottom up. As the boat recedes into the distance its hull is gradually and perceptively appearing closer and closer to the surface of the sea. At a far off point the hull of the ship is so close to the sea's surface that it is impossible for the observer to tell ocean from hull.

While the sails of the ship may still be visible while the hull is perceptively merged, it's only a matter of time before it too shrinks into the vanishing point [VPM] which rests on the surface of the sea and becomes indiscernible from the surface.

We know that this explanation is true because there are reports of half sunken ships restored by looking at them through telescopes. It has been found that the sinking ship effect effect is purely perceptual, that a good telescope with sufficient zoom will change the observer's perspective and bring the ship's hull back in full view.

That is not at all what has been found. It's a common observation to see only the top parts of ships, the lower parts being below the horizon, whether seen by the naked eye or through a telescope. If flat-earthers believe that a sufficiently high-powered telescope will always bring the hull into view, let's see some convincing documentation of this phenomenon.

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Flat Earth Theory / Re: Some perspective on perspective
« on: April 30, 2016, 07:03:39 PM »
If we see that they appear touch, and the Greeks continuous universe math that they should not appear to touch, that is evidence suggesting that they are wrong in their theories of perspective. It is certainly not evidence that they are correct.

I’m not aware that any Greek geometer or astronomer ever said that parallel lines never appear to touch. And even if they did, it wouldn’t discredit their geometry, because “parallel lines never appear to meet” is not a mathematical proposition, it’s a statement about how certain objects appear to the human eye.

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I am not arguing that the lines physically touch, only that they appear to, which goes hand-in-hand with the belief that the sun can appear to touch the earth without it physically doing so. The effect of two parallel lines touching is more evidence towards a Flat Earth model where the celestial bodies can touch the earth than it is evidence for a Greek universe where parallel lines should never touch.

I agree that if the sun were far enough away, it could seem to touch the horizon while remaining at an altitude of 3000 miles. But do the math and see how far it would have to be. The required distance is

     d = 3000/(tan\theta) miles,

where \theta is the angle at which the sun appears to be above the horizon. Let’s conservatively estimate that if the bottom edge of the sun were 10 minutes of arc (0.167 degrees) above the horizon, it would appear to touch it. Then we have

     d = 3000/(tan 0.167) = 3000/0.002915 = 1,029,263 miles,

if it remained 3000 miles above a flat earth. And that’s not taking refraction into account, which would usually increase the apparent angle above the horizon. There’s no way around this unless you posit hitherto unknown optical phenomena for which I know of no corroborating evidence. And of course RET explains the appearance and path of the sun and moon very simply and accurately.

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