Are you an idiot? The U.S. dominates every other country in the world for math research output (which is closely correlated to the number and quality of Ph.D students), and I assume the same is true in most of the sciences.
So if I find an O(n^{100000th Ackermann number}) algorithm for factoring integers, it means encryption is suddenly unsafe? Your understanding of this issue is very flawed.
Morons who don't recognize the difference between state and federal government, and FURTHERMORE who don't realize that virtually no one in the U.S. outside of fringe leftists is promoting a government takeover of healthcare, shouldn't be allowed to vote.
Tuition is nominal in Australia, so no, it doesn't. It means most likely that they'll allocate money from something else and/or request more from the government.
Math is whatever we define it to be. You are perfectly free to define an axiomatic system in which concepts like "infinitesimals" make sense, and there are many mathematicians who have done this. I could define a formal system in which 7 = 4 if I wanted. For example, Z / 3Z (that is, the set of integers under mod-3 arithmetic)
Notation: The notation k.a_0a_1a_2...a_n... , where k is an integer and each a_j is an integer with 0 = a_j = 9, is defined as k + \sum_{j=1}^\infty a_j/(10^j). This geometric series clearly converges.
By this notation, 0.999... = 0 + \sum_{j=1}^\infty 9/(10^j). You may easily verify by the formula for the sum of a geometric series that this equals 1.
If you're ordering plain coffee at Starbucks, you're doing it wrong. Their coffee is of lower quality and higher price than McDonald's, Dunkin Donuts, and a myriad of other major chains that almost certainly exist near you if you are American.
I love how Anonymous thinks they are effecting social change by "annoying" Zimbabwe's leaders. These 4channers will get bored, the website will go back up, and life will go on as usual in Zimbabwe.
What you're continually missing in your replies is that the robot is part of the universe he's simulating. That means that he would have to simulate his own internal workings, processor, memory, and so on. All of which is many orders of magnitude more complex than the rest of the universe if it is indeed a "toy" universe.
In other words, all you've succeeded in proving is that adding such a robot to a toy universe makes it non-toy enough that the robot can't compute its future state in time to change that state.
Suffers from the same problem. Nothing about determinism says that the robot should be able to calculate the state of the universe at T + 10000 before T + 10000.
Actually, nothing about determinism says that the robot should *ever* be able to calculate the state of the universe at any point, if the robot is part of the universe.
Why don't you put your money where your mouth is, so to speak, and give an example of an important open problem in philosophy that can be solved with insights from CS? A concrete, complete example.
I can't understand why there is beauty in the Mona Lisa, but I accept it as a lacuna in my education and as a personal flaw. I emphatically don't go on Slashdot spouting off about how painting is "a tool, not an art". Do you have a degree in mathematics? If not, please stop spouting off about what you don't understand.
P.S. Math is about ideas, not really long equations. All the professional mathematicians I have met hate long tedious computations as much as you do.
At a modern McDonald's (at least the one I worked in) the workload (using shitty ghetto touchscreens, not actual buttons) is:
1) Customer orders a Quarter Pounder with Cheese, no pickles, extra horseshit 2) Register guy presses #2 (for QPC meal), bringing up another menu. 3) Register guy presses something like "Sandwich only" as opposed to a meal deal 4) Register guy presses "Order" then presses the sandwich on the list of things ordered. 5) That brings up a screen where he can press NO PICKLES and EXTRA HORSESHIT. 6) Register guy presses the "Done" button
I don't remember the name of everything, but it seems significantly simpler when you worked at Sonic...
I tried to "Like" your post but I can't find the button on this site. I guess my comment will have to do.
The same quote has been there for weeks.
I was responding to a comment implying a "government takeover healthcare" would be like government-run education. So the latter.
Are you an idiot? The U.S. dominates every other country in the world for math research output (which is closely correlated to the number and quality of Ph.D students), and I assume the same is true in most of the sciences.
So if I find an O(n^{100000th Ackermann number})
algorithm for factoring integers, it means encryption is suddenly unsafe? Your understanding of this issue is very flawed.
Morons who don't recognize the difference between state and federal government, and FURTHERMORE who don't realize that virtually no one in the U.S. outside of fringe leftists is promoting a government takeover of healthcare, shouldn't be allowed to vote.
Still doesn't make sense... maybe you meant "bijection", not "equivalence relation".
Equivalence relations are defined on a set, not between two sets.
Tuition is nominal in Australia, so no, it doesn't. It means most likely that they'll allocate money from something else and/or request more from the government.
Math is whatever we define it to be. You are perfectly free to define an axiomatic system in which concepts like "infinitesimals" make sense, and there are many mathematicians who have done this. I could define a formal system in which 7 = 4 if I wanted. For example, Z / 3Z (that is, the set of integers under mod-3 arithmetic)
Notation: The notation k.a_0a_1a_2...a_n... , where k is an integer and each a_j is an integer with 0 = a_j = 9, is defined as k + \sum_{j=1}^\infty a_j/(10^j). This geometric series clearly converges.
By this notation, 0.999... = 0 + \sum_{j=1}^\infty 9/(10^j). You may easily verify by the formula for the sum of a geometric series that this equals 1.
Is this derivation enough for you?
At every supermarket I know of, you may enter your phone number on the card reader instead of swiping an actual card.
If you're ordering plain coffee at Starbucks, you're doing it wrong. Their coffee is of lower quality and higher price than McDonald's, Dunkin Donuts, and a myriad of other major chains that almost certainly exist near you if you are American.
Sure it is. :)
I love how Anonymous thinks they are effecting social change by "annoying" Zimbabwe's leaders. These 4channers will get bored, the website will go back up, and life will go on as usual in Zimbabwe.
What you're continually missing in your replies is that the robot is part of the universe he's simulating. That means that he would have to simulate his own internal workings, processor, memory, and so on. All of which is many orders of magnitude more complex than the rest of the universe if it is indeed a "toy" universe.
In other words, all you've succeeded in proving is that adding such a robot to a toy universe makes it non-toy enough that the robot can't compute its future state in time to change that state.
Suffers from the same problem. Nothing about determinism says that the robot should be able to calculate the state of the universe at T + 10000 before T + 10000.
Actually, nothing about determinism says that the robot should *ever* be able to calculate the state of the universe at any point, if the robot is part of the universe.
Why don't you put your money where your mouth is, so to speak, and give an example of an important open problem in philosophy that can be solved with insights from CS? A concrete, complete example.
"flawed"? How?
1) They tend to be terrible. Of course I didn't mean that every one of the hundreds of thousands of teachers in the United States is terrible.
2) Thanks -- I hadn't caught that.
What is the practical use for poetry, or for painting? Do you think these subjects should be banned from schools because there is no practical use?
I can't understand why there is beauty in the Mona Lisa, but I accept it as a lacuna in my education and as a personal flaw. I emphatically don't go on Slashdot spouting off about how painting is "a tool, not an art". Do you have a degree in mathematics? If not, please stop spouting off about what you don't understand.
P.S. Math is about ideas, not really long equations. All the professional mathematicians I have met hate long tedious computations as much as you do.
History is very poorly taught in the United States, at least in my (fairly recent) K-12 experience.
Try leaving the United States. Just because teachers here are terrible doesn't mean they are terrible everywhere.
At a modern McDonald's (at least the one I worked in) the workload (using shitty ghetto touchscreens, not actual buttons) is:
1) Customer orders a Quarter Pounder with Cheese, no pickles, extra horseshit
2) Register guy presses #2 (for QPC meal), bringing up another menu.
3) Register guy presses something like "Sandwich only" as opposed to a meal deal
4) Register guy presses "Order" then presses the sandwich on the list of things ordered.
5) That brings up a screen where he can press NO PICKLES and EXTRA HORSESHIT.
6) Register guy presses the "Done" button
I don't remember the name of everything, but it seems significantly simpler when you worked at Sonic...
Please link to ONE document that was classified "Top Secret" in this leak.