Well, if you're sitting with an expert chess player, and they're teaching you the game of chess, and you start doubting everything he's says, without good reason, what sense could we make of your doubts? It would seem that you don't have a good grasp on reality, or you just haven't learn to use the English words correctly, or you have a mental illness. — Sam26
Remember, you said we can doubt anything we want, so I gave you an example of someone teaching the rules of chess, and the person to whom they are teaching the game is doubting the rules, doubting everything the teacher says. Does it make sense to doubt in this situation? — Sam26
One doesn't doubt simply because one wants to doubt, one doubts because there are good reasons to doubt. — Sam26
For example, let's say that I'm teaching you the game of chess, that is, I'm explaining the rules of the game, but you are doubting everything that I tell you. Now according to you it's okay, because doubting is a relative concept, that is, one can use it any way one sees fit, but how can this be the case? Aren't there rules of correct usage, or do you apply your own rules? — Sam26
And don't go whining that I'm going to deep. 100% means 100%. Can any two objects ever be 100% the same? — Harry Hindu
Are an object's coordinates in space-time a property of the object, or no? Is the object's position in space-time just as important to know as its size and color, yes or no? — Harry Hindu
So we can say that the same thing can exist at two different moments in time, but not that the same thing can be in two different locations at once. — apokrisis
That's exactly the point, by the law of identity, "same" refers to one thing, and one thing only. The law of identity relates that thing to itself, saying a thing is the same as itself. But there are not two things which are the same as each other, there is one thing, which related to itself, is the same as itself. This is expressed by Leibniz's identity of indiscernibles. If two things are said to have 100% properties the same, then they are necessarily one and the same thing. Calling them two things is a mistake, they were only identified as two distinct things until it was determined that they are one and the same. — Metaphysician Undercover
When you take a look at two different portions of reality and see that there is no difference between their contents then we say that these two portions of reality are the same.
— Magnus Anderson
This seems to be a contradiction. You are saying that they occupy two different portions of reality, therefore they can't be the same. — Harry Hindu
I dunno. Why not check out actual set theory concepts like measure theory, almost surely and negligible sets. You might find out that this is in fact exactly how it works. — apokrisis
As I told you, I really did not know what you meant by "100% similar". "Similar" implies necessarily, some degree of difference. Therefore 100% similar implies some difference. You only contradict yourself now, when you say that "100% similar" means a complete lack of difference. It is impossible that similarity lacks difference, by way of contradiction. As I suspected, what you mean by 100% similar is nothing but contradictory nonsense. That's why I couldn't answer that question, I was afraid that what you meant was some such contradictory nonsense. Now my fears have been confirmed, what you mean is contradictory nonsense. — Metaphysician Undercover
"The same" implies one thing, the same thing, that's the point of the law of identity, to ensure that we are talking about the one and only same thing, the very same thing, when we designate something as "the same". — Metaphysician Undercover
Where is the difficulty in recognising that "the same" is the idealised limit to "the similar"? Why are you obfuscating the matter with your unsound sophistry? — apokrisis
Hilarious. If you are going to invoke set theory formalism, then you have to stick to its rules, not just make up any old shit. — apokrisis
So you describe the naive realist position and then accuse me of oversimplifying. — apokrisis
Sure, but the issue is to answer this question of whether or not it is. If something appears to us as disordered, this does not mean that it necessarily is disordered, because it may be the case that we just haven't developed the means for figuring out the order. — Metaphysician Undercover
No. You concede that what the sets have in common is the claim of being elements of the set of all sets that have no elements in common. — apokrisis
All elements are really just sets of elements. — apokrisis
But there is then your implied promise of being able to cash out the "elemental" at some ground zero level. And that becomes logical atomism. We already know that to be a busted flush. — apokrisis
You already concede the principle of indifference as your basis for trying to contest it. — apokrisis
It comes down to a judgement that works, not a judgement that is based on some objective "fact of the matter". — apokrisis
Great. You concede the point. We're getting somewhere. — apokrisis
Now if we are talking about some set of elements - actual baskets of fruit - then how do we know that the apple in one is actually an "apple"? It could be a rather unripe and round pear. — apokrisis
Pragmatism rules. As it ought. — apokrisis
↪Magnus Anderson So you run away from the question? You don't want to risk saying your sets are the same in this regard? You pretend instead that this would be irrelevant?
Cool. ;) — apokrisis
I believe that the uncertainty is due to the deficiencies of the minds and the methods being used in the attempt to understand. — Metaphysician Undercover
But these two sets do not have "being a set" as an element.
— Magnus Anderson
Do these two sets belong to the set of all sets that have no elements in common? — apokrisis
The issue that QM made inescapable was that reality could not be that well-defined; — Wayfarer
when you get down to the nitty-gritty, the uncertainty principle comes into play. So the more minutely you define it, the less certain it becomes.
Physics keeps finding that "everything" is only relative. Absolutism keeps melting away and proving only to be an emergent limit. And so I adopt a metaphysics that accounts for that kind of reality. — apokrisis
Things can be absolutely the same, or absolutely different, in the simple-minded fashion you try to demonstrate with set theory. The axiom of choice just applies, no problems.
But the physical facts don't support such a view. — apokrisis