If a figure is a bounded shape, then a figure is either complete or not. If not, it is approaching being that shape. For example, a circle which is bounded any point on the circle is both the beginning and the end of the line segment that is the perimeter of the circle. Each and every point on the perimeter is a point of completion and perfection. A curved line segment, no matter how close it comes to be a circle, does not make a bounded shape. Choosing any point on the line segment does not thus indicate a point of completion of any bounded shape. This difference is enough to distinguish a figure from line segments that are almost figures.
Rare as the opposite of dense is a new word for me also. So I guess a sponge would be a rare object, while a brick would be a dense object. I think "these do not admit of degrees" makes sense, even if a hand loses a finger its still a hand. At what point straight becomes crooked and vice versa is a bit more subjective. Enjoyed the video, very clear, and the tie is a fashionable prop.
Thank you ... however, how would rough or smooth not be a quality? I disagree with Aristotle on this one. I bough a silk for its smooth quality. Smoothness defines the silk. hmmm
How rough and smooth are not qualities in Aristotle's sense is explained in the text and video. Those "qualities" (in a different sense than he's using the term) are really a matter of the arrangement of the parts.
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If a figure is a bounded shape, then a figure is either complete or not. If not, it is approaching being that shape. For example, a circle which is bounded any point on the circle is both the beginning and the end of the line segment that is the perimeter of the circle. Each and every point on the perimeter is a point of completion and perfection. A curved line segment, no matter how close it comes to be a circle, does not make a bounded shape. Choosing any point on the line segment does not thus indicate a point of completion of any bounded shape. This difference is enough to distinguish a figure from line segments that are almost figures.
Rare as the opposite of dense is a new word for me also. So I guess a sponge would be a rare object, while a brick would be a dense object. I think "these do not admit of degrees" makes sense, even if a hand loses a finger its still a hand. At what point straight becomes crooked and vice versa is a bit more subjective. Enjoyed the video, very clear, and the tie is a fashionable prop.
Glad you found it useful!
Thank you ... however, how would rough or smooth not be a quality? I disagree with Aristotle on this one. I bough a silk for its smooth quality. Smoothness defines the silk. hmmm
How rough and smooth are not qualities in Aristotle's sense is explained in the text and video. Those "qualities" (in a different sense than he's using the term) are really a matter of the arrangement of the parts.
Thank you, I'll watch that one
That's this one - the video we're commenting on
+Gregory B Sadler I watched your video again and I understand it now. Thank you for your response.
Great!!
Thanks