It elicits a response; is that not what you mean by "meaningful"? — Janus
Some thing eliciting a response from a creature does not equate to that thing being meaningful to the creature. — creativesoul
As I said, the example is irrelevant because a set is artificial and an atom is not. — Metaphysician Undercover
The question would be whether the circle had 360 wedges without having been counted as 360. — Metaphysician Undercover
I cannot see any sense in which we can say that a collection of objects is not dependent on human perception and understanding. — Janus
This presupposes that a creature can draw correlations, connections, and/or associations between things that have yet to have been perceived, sensed, and/or detected.
Impossible. — creativesoul
No, it is relevant, because you said that a number doesn't exist until it is counted. — litewave
Of course it had, that's what I said. And it also had 370 wedges and any other number of wedges. — litewave
Just because someone didn't name, count or draw them doesn't mean they were not there. — litewave
No, we were talking about the existence of sets, not the existence of numbers. — Metaphysician Undercover
I could potentially build myself a very nice house. Because I didn't actually do this, means that this very nice house is not there. — Metaphysician Undercover
You said natural numbers are not ordered from small to big unless someone counts them, which is nonsense. The magnitudes of numbers, which order them, are already there by definition of the numbers, no matter whether anyone counts anything. — litewave
But the circle is already there and thus the points on its circumference and the point in the center of the circle define all possible wedges. — litewave
You might say that 10 is larger than 5, or of greater magnitude, but our subject is not magnitude, it is priority. — Metaphysician Undercover
A set of points does not create wedges, nor angles. This requires further definitions, lines. — Metaphysician Undercover
And there is a problem here with the relationship between the line and the circle, which makes pi "irrational". Despite tireless effort by the Pythagoreans, this irrationality could not be overcome. This is how we know that circles don't actually exist. A circle is an "ideal" which cannot be obtained in actuality because it contains an irrational ratio, i.e., it is contradictory. — Metaphysician Undercover
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