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The principle of non-contradiction.
What if (P & ~P) is true?

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The principle of non-contradiction.
xzJoel
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Posted 08/28/09 - 06:11 AM:
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#31
realistcat wrote:
i still don't understand what you're trying to say. If it's a question of what "really exists", then it seems to me a criterion of this is anything that does anything or is needed to explain something or anything that actually occurs or has any causal powers.

We don't perceive an instant, which is infinitesimally small, but we do perceive things as occurring "now." We can take "now", at time of use, to designate a finite duration. In particular, to designate the time when we say or think "now". Thus the "interpretation" for "now", as an indexical, requires its referent to be determined by the time of use of the word.

Of course it is a true that a thing may be changing during that finite time designated by "now." In practice "A is F" is taken to be true if A has property F at some time during that duration or througout that duration, depending on how reference to time is interpreted in that case. In a number of non-Indo-European languages (such as Chinese) verbs do not pack in a reference to time. You need a separate temporal adverb for this purpose.

Thus if it's a question of something's location "now", and that thing is moving, we could interpret the reference to location as incorporating the entire area occupied by it throughout that time. So if it's moving from P1 to P2 during the finite time designated by "now", we can take that P1-to-P2 trajectory as the location designated by "there" in "It's there now".



Xianzai wo kan bu dong? (That is a joke.)
What does this mean?
realistcat wrote:

then it seems to me a criterion of this is anything that does anything or is needed to explain something or anything that actually occurs or has any causal powers.



I hate to repeat the word "ontic" again for fear that Banno will show up and tell me that "the cup is red", but, alas, I must do so.

My current claim:

1. We have observations of what is. (What is ontically the case. Clearly, I am ignoring epistimology entirely.)
2. We have a logic that includes as a hypothosis the law of non-contradiction. (A thing cannot both be and not be in the same way at the same time.)
3. At least one observation, that of motion, necessitates that as to any moment, a moving thing must both be at a place and not at that place at the same time.
Therefore
4. Our logic does not accurately model reality.


My understanding of what you have said is that any "now" is not really a frozen moment in time, but rather a small segment of time in human terms - perhaps half a second. (And I'm sure the "now" is related in part to its context.) The problem here is that you’ve turned the question into a semantic issue – you have focused on what “now” is or perhaps what “there” is. We could, I suppose, argue about indexicals, but that isn’t my intent.

I want to know, where is the arrow? Point to it. If in pointing, your finger is moving to follow the arrow, aren’t you showing that the arrow is in motion in human observation and not at rest?

If we are forced to conceptualize the arrow at a given moment using a bivalent predicate, does it make more sense to say that it is in a specific place or to say that it is not in a specific place? If we say that it is nowhere in particular, isn’t that akin to saying it doesn’t exist? If we say it is at someplace, isn’t that akin to saying it is at rest?

I know that my questions sneak in a bit of epistimology, but it is rather unintentional. I want to focus on what existence is, not on how we can know if something exists or verify it. Maybe if I expressely state the assumption, you can find a way to make it behave: In order for something to exist, it must be somewhere specifiable.

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realistcat
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Posted 08/28/09 - 09:18 AM:
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#32
what is "the arrow"? we perceive motion precisely because our immediate awareness isn't of an instant but of a finite duration. an instant is an ideal limit. we arrive at the idea of an instant by imagining that finite durations get smaller and smaller. if a particle X is moving over a finite duration T, there is a definite trajectory of X during T. that is where it is at T. it's not the case that it is not there at T. a moving thing isn't in a static pose.
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