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Topic: Chiliagon

	Chiliagon Information
		In geometry, a chiliagon (pronounced /ˈkɪli.əˌgɑn/) is a polygon with 1000 sides.
		René Descartes uses the chiliagon as an example in his Sixth meditation to demonstrate the difference between pure intellection and imagination.
		He says that, on imagining a chiliagon, the image produced is not as clear and distinct as that which occurs on imagining a triangle, for example.
	www.bookrags.com /Chiliagon (0 words)

	Chiliagon at AllExperts
		In geometry, a chiliagon (pronounced) is a polygon with 1000 sides.
		RenÃ© Descartes uses the chiliagon as an example in his Sixth meditation to demonstrate the difference between pure intellection and imagination.
		He says that, on imagining a chiliagon, the image produced is not as clear and distinct as that which occurs on imagining a triangle, for example.
	en.allexperts.com /e/c/ch/chiliagon.htm (182 words)

	Archimedes, Sand-Reckoner, ch. 2
		Again, since the diameter of the sun was proved to be larger than the side of a chiliagon inscribed in the greatest circle of those on the world, it is obvious that the perimeter of the mentioned chiliagon is smaller than one-thousand-times the diameter of the sun.
		And so since the perimeter of the chiliagon is smaller than thirty-thousand-times the diameter of the earth, it is larger than three-times the diameter of the world.
		For it has, in fact, been proved that because the diameter of every circle is smaller than a third part of the perimeter of every polygon which is equilateral and having more angles than the hexagon inscribed in the circle.
	www.calstatela.edu /faculty/hmendel/Ancient%20Mathematics/Archimedes/SandReckoner/Ch.2/Ch2.html (0 words)

	[No title]
		The chiliagon (with a thousand sides) has too many sides for us to form a distinct mental image of it.
		On the other hand, while we have a clear and distinct idea of the chiliagon, that idea is not an image.
		The idea of the chiliagon is thus not of the imagination.
	www.oregonstate.edu /instruct/phl302/distance/descartes3/comment2.html (0 words)

	[No title]
		The chiliagon (with a thousand sides) has too many sides for us to form a distinct mental image of it.
		On the other hand, while we have a clear and distinct idea of the chiliagon, that idea is not an image.
		The idea of the chiliagon is thus not of the imagination.
	oregonstate.edu /instruct/phl302/distance/descartes3/comment2.html (1632 words)

	Fides Quaerens Intellectum » Conceiving and Imagining
		And to render this quite clear, I remark in the first place the difference that exists between the imagination and pure intellection [or conception].
		And thus I clearly recognise that I have need of a particular effort of mind in order to effect the act of imagination, such as I do not require in order to understand, and this particular effort of mind clearly manifests the difference which exists between imagination and pure intellection.
		Descartes seems to be saying that it is possible to think of a chiliagon in pure intellect, while he is unable [impossible?] to imagine [conceive?] a chiliagon.
	blog.johndepoe.com /?p=49 (0 words)

	Mech5 (Site not responding. Last check: )
		The "thought experiment" with the chiliagon (1000 sided figure) is intended to illustrate this difference.
		The mind's image or perception of a chiliagon may well be confused with another many sided figure and does not reveal everything which we can know about chiliagon.
		But the concept of what-it-is-to-be a chiliagon, a 1000- sided figure, is perfectly distinct from any other concept of a many sided figure, and from it, reason can deduce all that can be known about chiliagon.
	www.loyno.edu /~folse/Mech5.html (252 words)

	chiliagon - OneLook Dictionary Search
		We found 8 dictionaries with English definitions that include the word chiliagon:
		Tip: Click on the first link on a line below to go directly to a page where "chiliagon" is defined.
		Chiliagon : Online Plain Text English Dictionary [home, info]
	www.onelook.com /?w=chiliagon&ls=a (0 words)

	Definition of Chiliagon
		A chiliagon is a polygon with 1000 sides.
		The ch is not pronounced as in "church", but with a sound that is not found in standard English, which is like the ch in the Scottish loch, or the Greek letter chi.
		The list of authors can be found here.
	www.wordiq.com /definition/Chiliagon (0 words)

	From Objection I (Caterus): (Objective Reality) (Site not responding. Last check: )
		What, in that case, is the meaning of that well-worn maxim which is common knowledge: the infinite qua infinite is unknown?' When I think of a chiliagon, and construct for myself a confused representation of some figure, I do not distinctly imagine the chiliagon itself, since I do not distinctly see the thousand sides.
		And if this is so, then the question obviously arises as to how the infinite can be thought of in a distinct as opposed to a confused manner, given that the infinite perfections that make it up cannot be seen clearly 'before the eyes' as it were.
		But if we fix our gaze on some part of the sea at close quarters, then our view can be clear and distinct, just as our picture of a chiliagon can be, if it is confined to one or two of the sides.
	www.anselm.edu /homepage/dbanach/dc-obj-god.htm (3451 words)

	Ephilosopher :: Metaphysics and Epistemology :: Mind and body and conceivability (Site not responding. Last check: )
		Descartes mentions the chiliagon (and also a triangle) in his text to point out the distinction between imagination and pure understanding.
		I think Jibber is on to something---finally someone mentions imagine! Descartes mentions the chiliagon (and also a triangle) in his text to point out the distinction between imagination and pure understanding.
		We can imagine a "confused representation" of a chiliagon in our mind, but this is NOT a chiliagon.
	www.ephilosopher.com /phpBB_14-action-viewtopic-topic-1058-start-15.html (1090 words)

	Amazon.com: chiliagon: Music
		Your search "chiliagon" did not match any products in: Music
		Get it by Tuesday, Oct 16 if you order in the next 3 hours and choose one-day shipping.
		If you want to specify which of your search terms should match the author's name and which should match the title, you should conduct an Advanced Search.
	www.amazon.com /s?ie=UTF8&keywords=chiliagon&index=music&page=1 (0 words)

	Ephilosopher :: Metaphysics and Epistemology :: Without senses Is their existence? (Site not responding. Last check: )
		Descartes knew this was a mistake where he mentions the chiliagon.
		We can't image a chiliagon distinct from, say, a plane figure with 1001 sides.
		I don't abstract the idea of a chiliagon from anything I percieve, yet I have that idea and I can introspect on it.
	www.ephilosopher.com /phpBB_14-action-viewtopic-mode-viewtopic-topic-2351-start-15.html (1250 words)

	f1
		He went on to indicate that moral properties are not to be perceived, but rather, understood by cognition.
		Robinson illustrated his statement by asking the audience to picture a chiliagon, a one thousand-sided figure.
		He explained that like moral properties, a chiliagon is conceivable but not perceivable to the human mind.
	www.wesleyan.edu /argus/archives/aa_archive_nov022001/dateyear/f3.html (679 words)

	Philosophy- Squashed Descartes- Meditations - Conndensed Abridged
		For example, when I imagine a triangle, I conceive it, not only as a figure of three lines, but also by an inward vision, which I call imagining.
		But if I think of a chiliagon, a thousand-sided figure, I cannot in any way imagine or visualise it, as the imagination is a different power from understanding.
		It may be that I can imagine corporeal objects by turning the mind towards the body.
	www.btinternet.com /~glynhughes/squashed/descartes.htm (8765 words)

	SPSW > Reading 4: Descartes, Meditation VI
		For example, the chiliagon has too many sides to form a good image, but he can still calculate the degree of the angles since he understands the shape.
		I also keep harping on the wax because I think he is making a distinction among qualities of objects that will turn out to be very similar to Locke's distinction between primary and secondary qualities.
		But Descartes and many of his predecessors believed that the ideas of geometry could not be gained through the senses because there are no perfect shapes in the world.
	www.someplacesomewhere.com /lofiversion/index.php?t1451.html (8113 words)

	[No title]
		D) The diameter of the sun is no more than 30 times the diameter of the moon.
		(Of course this one is way off!) E) The diameter of the sun is greater than the side of a regular chiliagon inscribed in a great circle in the sphere of the universe.
		He concluded that no more than 10^63 grains of sand would be needed to fill the universe.
	math.ucr.edu /home/baez/twf_ascii/week153 (2029 words)

	HaloScan.com - Comments
		I can even provide you one example (of an infinite number of potential examples) from mathematics: Most people have little difficulty forming a fairly clear mental image of a five-sided object (pentagon), but no person sincerely claims to be able to form a clear mental image of a thousand-sided object (chiliagon).
		Nonetheless, it is not especially difficult to form a clear concept of a chiliagon.
		Now, if a chiliagon is conceivable but not imaginable, how much more unimaginable is “justice”?
	www.haloscan.com /comments/tgilblog/E20061016111700 (14324 words)

	Reading 4: Descartes, Meditation VI - SPSW
		1) Are there any properties of the wax (from earlier meds) that are shared by triangles, pentagons & chiliagons (a chiliagon is a 1,000 sided figure)?
		I don't claim to understand everything he says, but it doesn't seem convincing to me because while he claims they are distinct and can be separated, that the body sends 'signals' a disembodied mind; he also claims they are conjoined and united in such a way it can apply perceptions and imagination.
		No, he hasn't answered to the madman method of doubt as related to sense perceptions and images, and his argument against the dreaming method of doubt is inadequate, look at objections in text for details for this.
	www.someplacesomewhere.com /index.php?showtopic=1451 (4558 words)

	Questions9.25.06
		Does the mind literally turn toward the body when using the imagination ?
		When I form a mental image of a chiliagon, is it literally in my brain?
		Also, what does Descartes mean exactly by "body" in this passage?
	www.nd.edu /~ggutting/Questions9_25_06.html (551 words)

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