Yes, infinitesimals are units, they are bounded necessarily in order to give them the status of distinct things "infinitesimals". without separation b...
It's easy to say "if you respond when someone says 'fetch the apple' then you know the rule", but this claim needs to be justified. First, we would ha...
As I understand the issue, the physical evidence indicates that there is likely a real limit the spatial-temporal existence at this level. If this is ...
I agree with this representation, but the problem which TheMadFool points to is that there appears to be real points of discontinuity within time, whi...
I don't see the logic here. I have only a few problems speaking to people, but I don't see any rules here. I am not looking for something hidden behin...
Are you familiar with Platonic dialectics? We determine the meaning of a word by referring to how it is used in our society. This mean that the colloq...
I am not talking about potential vs. actual. I am talking about "infinity" as boundless (philosophical conception), and "infinity" as completed (mathe...
The fact that philosophy has a different definition of infinite which is inconsistent with your mathematical definition of "completed infinity" is cle...
You made the following statement, and I tried to answer it: So let me try again. I disagree with this because I am not sure as to whether an individua...
Right, so in mathematics you can count the infinite numbers without counting the infinite numbers. That's exactly why I say it's a false premise. If y...
Can you not read? Or do you have an extremely short memory? Let me reiterate. "Pairing", like "counting" is a human activity which is not successful u...
I know that you've said the exact opposite to this, that's the point. Wittgenstien, has not yet established the relationship between language and rule...
That's exactly my argument, it's logically impossible, impossible to conceive of, just like a square circle is logically impossible. The point is that...
If you have a problem with my terms (they are English), then address my posts and tell me where the problems are. If my terms are not related to mathe...
We went through this at the beginning of the book. In Wittgenstein's use of "game" it is neither implicit nor explicit that rules are necessary for ga...
I think that there is really no such difference between these two examples. The only real difference is that one is in the form of a question. "Is it ...
Pairing, and mapping, are all activities just like counting is an activity. You cannot count an infinite number because this is contradictory to the d...
What a short memory you have. I actually demonstrated the contradiction to you in numerous different ways, because each time I demonstrated it you wou...
But that's irrelevant because I was only arguing logical impossibility all along, which as I explained is the only real form impossibility. It is the ...
How is this relevant? Right, let's hold that thought. The incompatibility is not between "integer" and "even number", it is between "pairing" and "inf...
As per my discussion with Luke, the paradigm referred to here cannot be an object, because the word still has meaning when the object is destroyed. Ho...
When definitions deny the possibility of something due to contradiction, this is a logical impossibility, like a square circle is a logical impossibil...
I wouldn't say that Streetlight is suggesting that this question is being answered. "Dealing with the question" does not necessarily imply answering i...
Because that's the way the word is generally used. So if you used it in another way the interpreter might misunderstand you. And if that "other" way o...
Yes it does mean that. If you thought that there was any reason to doubt it. you would not be convinced. Being convinced means that you are not aware ...
As I said, it is impossible "by definition". This means that it is logically impossible, contradictory. "Infinite" is commonly defined in such a way t...
Socrates was asking because he wanted to see if the people talking knew what they were talking about. Most often they did not. So that's the point to ...
No, in my customary usage they are not both expressions of belief. "It seems to be the case" implies doubt and therefore not a belief that it is the c...
I already know about it. The fact remains that we cannot actually pair them because there is an infinite number of them. So the proposition states som...
The problem being that we cannot pair them up because there is an infinite number of either one of them. So your conditional "if we paired up each int...
No I wouldn't say that. When logic convinces me that p is the case I would assert that p is the case, not that p seems to be the case. I would only sa...
Yes it's plural, and that's exactly what I said earlier, "the players' responses" indicates a multitude of players. In my experience of observing game...
Do you mean like "physicalism is false"? I assert that this is the case, though it doesn't seem to be the case. If this is what you mean, then logic o...
I've played many games, and I've made mistakes in relation to the rules. I've also observed others making such mistakes. When I make a mistake, it is ...
That's the lead into 54 in which he discusses different ways in which it may be said that a game is played according to a rule. That's the subject Isa...
Here's how I interpret what you say here. Empirically, everything seems to be physical, therefore everything is physical. This is what you are stating...
Consider that the same rule may be expressed in various different ways. The table is only one way of expressing the rule. The table replaces the role ...
The root is irrelevant, what is relevant is how the words are used. Luke doesn't seem to recognize the difference between using "typical" as a predica...
Ha, ha, I hope that's a joke. But just in case it's not meant as a joke, it's clearly not the case that "a typical example" is the same thing as "an e...
This is what he says: My argument is that in most cases there are no such characteristic signs in the actions of the player who makes the mistake, as ...
No, I interpret as you do, the person making the slip of the tongue is being observed by the person trying to learn the rules. The point I wanted to m...
But the other way around makes no sense. If we allow that the physicalist defines what counts as "physical" then everything is physical, because that'...
Well this is the problem isn't it? Where do we find an example or a sample of a type? An object is not itself a type, and therefore cannot provide suc...
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