I don't think the belief in life after death necessarily indicates a wish to live longer than we currently do. I think it is a result of the fact that it appears to people to be incoherent to expect your consciousness to cease to be: if you expect that to happen, what experience will fulfill that expectation?
Obviously none. The only expectation that could theoretically be fulfilled by experience is expecting your consciousness to continue to exist. This doesn't actually prove that your consciousness will in fact continue to exist, but it is probably the r...
Ok. In that sense I agree that this is likely to be the case, and would be the case more often than not with any educated person's assessment of who does rigorous work.
It is not that these statements are "not generally valid", but that they are not included within the axiom system used by H. If we attempt to include them, there will be a new statement of the same kind which is not included.
Obviously such statements will be true if H's axiom system is true, and in that sense they are always valid.
How does this not come down to saying that people you consider rigorous, on average did more work on their texts than people you don't consider rigorous, and therefore they wrote less as a whole?
If we take a random (educated) person, and ask him to classify authors into rigorous and non-rigorous, something similar should be true on average, and we should find similar statistics. I can't see how that shows some deep truth about the nature of rigorous thought, except that it means doing more work in your thinking.
I agree that it does mean at least that, so that e.g. some author has written more than 100 books, that is a pretty good sign that he is not worth reading, even if it is not a conclusive one.
I looked at your specified program. The case there is basically the same as the situation I mentioned, where I say "you are going to think this is false." There is no way for you to have a true opinion about that, but there is a way for other people to have a true opinion about it.
In the same way, you haven't proved that no one and nothing can prove that the program will not halt. You simply prove that there is no proof in the particular language and axioms used by your program. When you proved that program will not halt, you were using a differe...
I said "so the probability that a thing doesn't exist will be equal to or higher than etc." exactly because the probability would be equal if non-existence and logical impossibility turned out to be equivalent.
If you don't agree that no logically impossible thing exists, then of course you might disagree with this probability assignment.
Also, there is definitely some objective fact where you cannot get the right answer:
"After thinking about it, you will decide that this statement is false, and you will not change your mind."
If you conclude that this is false, then the statement will be true. No paradox, but you are wrong.
If you conclude that this is true, then the statement will be false. No paradox, but you are wrong.
If you make no conclusion, or continuously change your mind, then the statement will be false. No paradox, but the statement is undecidable to you.
There is no program such that no Turing machine can determine whether it halts or not. But no Turing machine can take every program and determine whether or not each of them halts.
It isn't actually clear to me that you a Turing machine in the relevant sense, since there is no context where you would run forever without halting, and there are contexts where you will output inconsistent results.
But even if you are, it simply means that there is something undecidable to you -- the examples you find will be about other Turing machines, not yourself. There is nothing impossible about that, because you don't and can't understand your own source code sufficiently well.
I've seen this kind of thing happen before, and I don't think it's a question of demographics or sockpuppets. Basically I think a bunch of people upvoted it because they thought it was funny, then after there were more comments, other people more thoughtfully downvoted it because they saw (especially after reading more of the comments) that it was a bad idea.
So my theory it was a question of difference in timing and in whether or not other people had already commented.
It is definitely true that this could be someone's subjective probability, if he he doesn't understand the statement.
But if you do understand it, a thing which is logically impossible doesn't exist, so the probability that a thing doesn't exist will be equal to or higher than the probability that it is logically impossible.
Maybe. I upvoted it because I thought it was correct, and corrects the misconception that desiring to live forever is obviously the correct thing to do, and that everyone would want it if they weren't confused.
Note that unless the probability that you begin to want to die during a certain period of time is becoming continuously lower, forever, then you will almost surely begin to want to die sooner or later.
The post would have to be toned down quite a bit in order to appear to be possibly sincere.
I use dtSearch for the text searching, which works pretty well. I don't have to use it constantly but it works well when I need it, e.g. finding something from a website I viewed a few months ago, when I no longer remember which site it was, or determining whether I've ever come across a certain's person's name before, finding one of my passwords after I've forgotten where I saved it, and so on. Also, sometimes I haven't been sure about which keywords to search for, but I was able to determine that something must have happened on a particular day, and then...
I do the screenshot / webcam thing, and OCR the screenshots so that my entire computing history is searchable.
Yes, both of these happen. Also, it's harder to be friends even with the people you already know because you feel dishonest all the time (obviously because you are in fact being dishonest with them.)
If you are a Muslim in many Islamic countries today, and you decide that Islam is false, and let people know it, you can be executed. This does not seem to have a high expected value.
Of course, you could decide it is false but lie about it, but people have a hard time doing that. It is easier to convince yourself that it is true, to avoid getting killed.
I don't see why so many people are assuming that Aumann is accepting a literal creation in six days. I read the article and it seems obvious to me that he believes that the world came to be in the ordinary way accepted by science, and he considers the six days to be something like an allegory. There is no need for explanations like a double truth or compartmentalization.
It should probably be defined by calibration: do some people have a type of belief where they are always right?
Of course if no one has absolute certainty, this very fact would be one of the things we don't have absolute certainty about. This is entirely consistent.
"If that was so, they'd get the same wobbly feeling on hearing the fire alarm, or even more so, because fire alarms correlate to fire less than does smoke coming from under a door. "
I do get that feeling even more so, in exactly that situation. I therefore normally do not respond to fire alarms.