The task consists of a sequence of actions occurring at intervals of time that decrease by half at each step: 1/2 minute, 1/4, 1/8,.... It is logicall...
Of course it is, but the the contradiction can be resolved by denying either one of two premises. You chose to deny the PSA, and I responded that the ...
I disagree with this. IMO, morality is rooted in empathy. It feels wrong to hurt another person, because we empathize with the one who is hurt. The go...
No, you didn't. You merely asserted: "The PSA statement (that there is a step that reaches the goal) directly violates the premise that any given step...
Or the PSA is correct, and the goal can't be met. I'm not merely asserting it. You have to agree that a final step is necessary for completion when th...
Yes, the PSA entails taking a final step. We agree infinity is not a number, so there is no final step. Show the PSA is false. Why? The claim is indee...
It depends on how the race is framed. It CAN be described as a supertask, wherein Achilles runs to a series of destinations, each established by where...
We can assign those numbers as we take each step. That's counting, and it's perfectly meaningful. Perhaps you mean there's no way to say we can meanin...
Correct. I think it's because they are interesting puzzles, and because they help teach certain concepts. Yes- that's a better way to describe it. The...
You defined Flawlessism (over here) as a "philosophical religion rooted in the belief that life holds a perfectly good and meaningful purpose." I gues...
My point is that the stairs are countably infinite. Consequently, they COULD be counted, if we were traversing them. Yes, the sequence of defined temp...
I think you're referring to the limit: Limit (a/n) = ? n->0 That's not actually dividing by zero. Here's an article that explains various problems wit...
An opinion is a belief, and let's only consider propositional beliefs. A fact is a true proposition. So your question boils down to: how do we decide ...
The premise that the universe "popped into" existence is incoherent. It implies there existed something, into which the universe popped. The "universe...
Yes- and that's because the role of infinity in the task. The task entails a sequence of events, so the infinity can only mean an infinite chain of ev...
Wrong. The statement (the completion of a consecutive series of physical steps entails a final step) is necessarily true. When we consider this statem...
Right! It's not the sequence described in the scenario! There is a background temporal sequence, as the clock ticks, that reaches 1, but we aren't map...
The law of non-contradiction. An infinite series of processes entails never completing, but at points of time that occur after the delinieated interva...
The scenario describes a fictional, physical process. The lesson is that the defined supertask (the fictional, physical process) is logically impossib...
That's because the physical steps map to an infinite series in an interval with an open boundary. One can't simply declare there's no final step becau...
Consider a devotee of Infowars, who routinely accepts conspiracy theories. Aren't you suggesting they should trust their opinions? You mention the rol...
I've taken calculus and I understand what limits are. By definition, a limit is not reached, it is approached. The sequence of steps maps to a mathema...
You should NOT trust your mind, but you can gain trust in certain beliefs by applying critical thinking: seek out contrary opinions, test your beliefs...
The paradox is this: 1.The bottom of the stairs is reached at the 1 minute mark. 2.Reaching the bottom of the stairs entails taking a final step. 3. T...
Indeed, the stipulated elapse of a minute implies all the steps would have been traversed, but that implication is contradicted by the fact that the p...
I disagree. It's absurd because the counter progresses through natural numbers, and can never reach a final one. Infinity isn't a natural number. In t...
I'm not so sure this will lead to an indictment for Trump. It would be costly to do so, and there's no chance of a trial before the election. If Trump...
It seems to me that a universe where everything is possible entails a world with multiple, causally isolated sub-universes. So there wouldn't be a beg...
There's nothing contradictory with the EXISTENCE of an actual infinite, but it's not accepted that an infinity can be traversed in a supertask. In the...
I question the meaningfulness of blaming/crediting "Christianity". It's people who are engaging in good/bad behavior. Sometimes they point to scriptur...
There is a contradiction in the stated scenario: there's an END to the ENDLESS staircase. Better to ask where he is after a minute. Assess progress af...
Instead of attacking the perpetrators of this anti-Trump information (and risking committing a genetic fallacy), why don't you point out some disinfor...
Absolutely. For example: what is the ontological bedrock of physical reality? No matter how deeply we explore, we can't know we've reached rock bottom...
I watched the video, and read the Brookings report. The person in the video grossly misrepresents the report. Brookings does not state a plan, it list...
I agree we need to address the trade imbalance with China, but a sudden, across the board 60% tarriff would hurt consumers and be inflationary. The re...
Regarding taxes, it appears that Trump has only promised to extend the current tax schedule that's soon to expire - not lower current taxes. By contra...
Trump is charged with a felony because, per state law, the falsification of the records was allegedly undertaken with the intent to commit another cri...
Help me understand why one would vote for Trump I live in Texas, and know more people who support Trump than who oppose him. I would like to better un...
"The signed statement with the denial was publicly released on Jan. 30, 2018. Not long after, Daniels recanted the statement and said that an affair h...
I'm not challenging the fact that it's verification that the child has some knowledge of someone who's dead, and the knowledge was not obtained from c...
Or it could be considered a discontinuity: you are being destroyed and a new entity, an exact physical copy, is being produced. I tend to think there'...
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