Sorry, that is not how logical impossibility is defined. It would have to be something that is impossible for anyone even to conceive (like a square c...
One more time: The fact that no one can actually pair all of the integers with corresponding even numbers has no bearing whatsoever on its logical pos...
It illustrates that actual impossibility does not entail logical impossibility. No; the whole point here is that pairing the members of infinite sets ...
It would help if you actually understood the rules of infinity that mathematicians recognize, which are different from the rules of finite quantities;...
As usual, equating the logical with the actual leads to absurdity. Logical possibility is much broader than actual possibility. If pigs had large and ...
You can do all kinds of things with infinity mathematically, but what you cannot do is treat it as if it were just another quantity. Infinity is a dif...
Are you still convinced of your definition of "convinced," even though you know of reasons to doubt your definition of "convinced"--such as @"DingoJon...
That is actual impossibility, not logical impossibility. It is completely irrelevant to pure mathematics--the science of drawing necessary conclusions...
If your first statement were true, then your second statement would also be true. But your first statement is false, so your second statement is also ...
A proposition is not contradictory merely by virtue of stating something that is actually impossible, only if it states something that is logically im...
No, it is not. Like all mathematical theories, set theory--especially as applied to infinite sets--is based on certain hypothetical formalizations tha...
Please pay attention. Arguments for a First Mover consistently affirm that every effect has a cause. What they deny is that everything is an effect; s...
One more time: Mathematical infinity is not an actual infinity, but it is a real infinity. If we paired up every number with its square, when would we...
That does not follow at all. Again, your fundamental assumption is that everything is an effect--i.e., everything has a beginning--which is precisely ...
As summarized by Wikipedia, the arrow paradox states, "If everything is motionless at every instant, and time is entirely composed of instants, then m...
I said nothing whatsoever about "equal amount" or "infinite interval," concepts that mistakenly treat infinity as if it were extremely large, but stil...
Again, that is not how it works. There are twice as many integers as even numbers within any finite (and even) interval, but neither the set of all in...
That is not how real numbers work. By such (il)logic, there should be twice as many integers as even numbers, which is also not the case. A discrete c...
What is the warrant for believing that absolutely everything is an effect caused by something else? How is it any more "logical" than believing that t...
As soon as you talk about comparing the "amount" of something, you are quantifying it, and thereby treating it as discrete--i.e., begging the question...
No, that progress itself through the space-time continuum (i.e., motion) is the fundamental reality; any discrete subdivisions of space and time are o...
In Peirce's model of a true continuum, the infinity is potential rather than actual. The real is not coextensive with the actual (existence); there ar...
No, that axiom is maintained throughout. Again, the actual argument is that there must be a cause that is not an effect of some other cause. Only in a...
Contradictions indicate an underlying logic error; paradoxes indicate a need to think more carefully. How many times must I repeat that I am arguing f...
Only by ignoring the fact that the whole point of arguments for an unmoved mover is that there must be a first cause that is not itself an effect of s...
No doubt they would say the same about your arguments here. You remain wedded to the mathematics of discrete quantity. Again, there are no points on a...
All I can suggest at this point is looking into the standard mathematics of infinity. I side with Peirce, rather than Cantor, in denying that the real...
I gather than you mean deductive logic in this context, but that can only guarantee the derivation of true conclusions from true premises; it can neit...
Yet again: Because space-time is a true continuum, motion/velocity is a more fundamental reality than either position or duration. We can construct a ...
An argument from incredulity is not persuasive, and alleging "magic" suggests a lack of interest in engaging in serious philosophical discussion. What...
Why? It begs the question to presuppose discrete units of "information" (i.e., points or finite segments) that comprise a "real line." Again, the "par...
It is a true continuum, such that an instant with no duration, or even a very small finite duration, is a strictly hypothetical discontinuity. Rather ...
What do words like "unicorn" and "phoenix" represent? If your statement is correct, how are we able to talk about things and events that are in the fu...
The play itself cannot and does not create anything. Shakespeare created the idea of a man named Hamlet who was once the prince of Denmark, and then w...
You answered your own question in how you asked it - the proposition asserts a (purported) fact, rather than being a (purported) fact. The difference ...
That is precisely what Peirce and I mean by "hypothetical states of affairs" as the subject matter of pure mathematics - there is no connection (purpo...
I agree, but I can see how I might have given a different impression above. Charles Peirce, following his father Benjamin - one of the most accomplish...
This happens all the time. Shakespeare wrote a play that represents a man named Hamlet who was prince of Denmark. No such person ever actually existed...
Apology accepted, although I am still curious - what did you think it meant, such that you suspected me of being comfortable with incoherence/self-con...
These two statements are not contradictory. Not all mammals are dogs. All dogs are mammals. In any case, here is what I actually said about facts. Unr...
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