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Mentat
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Please give the reason for your choices.
from whatis.com.paradox
A paradox is a statement or concept that contains conflicting ideas. In logic, a paradox is a statement that contradicts itself; for example, the statement "I never tell the truth" is a paradox because if the statement is true (T), it must be false (F) and if it is false (F), it must be true (T). In everyday language, a paradox is a concept that seems absurd or contradictory, yet is true. In a Windows environment, for instance, it is a paradox that when a user wants to shut down their computer, it is necessary to click "start".
Originally posted by Sensei
an infinite number of nothings, makes up something. that to me reeks slightly of paradox.
[/B]
Originally posted by Sensei
Disagreement is encouraged, but with the hope that it can be supported, and not conclusory.
infinity is an infinite number of 0's, then since 1/0 is 0, 1 divided by an infinite number of 0's should not be any different thus resulting again, in a 0.
Originally posted by Sensei
Peace be with you. [/B]
Originally posted by wuliheron
Does the universe allow for paradoxes?
This question is its own answer and, thus, a paradox in its own rite. If the universe did not allow for paradoxes you could not ask the question. It is a bit along the lines of asking, "Can I ask a question?" Without supplying a context it is logically meaningless.
"What happens when an irresistable force meets an immovable object?"
And lastly, there are all sorts of theories that can be supported by a mathematical model( which we don't even have here). That doesn't make them true. Paradoxes exists due to lack of knowledge and understanding. Paradoxes exists in the mind.
In this one I do. But does it really exists? Thats the question of the thread and I have speculated it does not. Point to an instance of it and I'll point you to something that you most likely lack information on.
Originally posted by wuliheron
Does the universe allow for paradoxes?
This question is its own answer and, thus, a paradox in its own rite. If the universe did not allow for paradoxes you could not ask the question. It is a bit along the lines of asking, "Can I ask a question?" Without supplying a context it is logically meaningless.
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Hmmm I don't see the paradox in either of these questions.
Clearly the diffraction of light APPEARS to be a paradox: How can something discrete be in two places at once? But maybe we only THINK its a paradox because we don't yet know enough about quantum mechanics.It seems the limited mind in attempting to define the unlimited, sees paradoxes. In a mind state where one could see all, it may be that no paradoxes would exist because each paradox would be a compartment of truth for a larger truth.
Originally posted by wuliheron ]If paradox only exists within the mind then we cannot trust our minds and this presents another paradox with no logical resolution. If we cannot trust our mind then we cannot trust the assumption that paradox does not exist ad infinitum. A rather negative and self-contradicting, if humorous, view of existence and ourselves.
Sorry, but that is not the question of the thread. The original question was "Does the universe allow for paradoxes?" Nowhere does it ask anything about "reality".
I don't see it this way at all. The statement "Everything I say is a lie" is self contradictory because it is both true and false. If it's true then it must also be false and vice versa. This is not the case with the question "Can I ask a question?" This question simply answers itself and the answer is "yes". It does not contradict itself. To me, a paradoxical question would not only answer itself but it would give 2 opposing answers (no, yes).The "question" of "Can I ask a question?" answers itself because it IS a question. Thus it is self-referential and self-contradictory like the liar's paradox, "Everything I say is a lie."
Likewise, the same holds true for "Does the universe allow for paradoxes?"
Ya'll just don't get it do you? Paradox is slippery, the ultimate logical sandpit. Try to deny it and you create it. Try to ignore it and you find yourself creating it again. All you can do is accept it and move on. [/B]
This is stretching it a bit I believe. Paradoxes exists in the mind when there is a lack of knowledge of reality. Once more information is obtained paradoxes dissappear. Again...they aren't REALLY paradoxes. So they cannot play a part in some "self contradictory paradox of ourselves" So boiling all this down, all you're saying is that a lack of knowledge(mind paradoxes) keeps us from saying that paradoxes don't really exists. While this is true, it can also be said for god and magical elves on Mars. It's pretty meaningless.
I don't see it this way at all. The statement "Everything I say is a lie" is self contradictory because it is both true and false. If it's true then it must also be false and vice versa. This is not the case with the question "Can I ask a question?" This question simply answers itself and the answer is "yes". It does not contradict itself. To me, a paradoxical question would not only answer itself but it would give 2 opposing answers (no, yes).
I don't get it I admit. It should not be any more slippery than anything else if it is properly defined and understood. The question above that you think is a paradox and that I do not is a clear example of a lack of common understanding.
So after all the words that you have typed on this topic I still don't quite understand exactly what your point is. You start your topics off with words that claim paradox is everywhere and unavoidable then, once someone explains to you that you have mis-used concepts, you say it doesn't matter . Honestly, sometimes I wonder if you aren't intentionally typing self contradictory statements in order to prove your point in some strange way. If you are doing this please let me know.
Originally posted by wuliheron
This is, again, a self-referential logic. Although western science has largely progressed through the eons by disproving paradoxes and the irrational, it has also made huge strides by developing and accepting them. If we all still took Aristotle's position that paradoxes are not real and should not be used calculus would never have been invented.
LOL. Quantum mechanists is irrational only because we lack information. It does not behave the way that we would have expected so therefore it is irrational. I'm sure lightning was mysterious to ancient man but there's no paradox.Newtonian Mechanics was eventually replaced by irrational Quantum Mechanics. To say every paradox has a resolution and we should assume they are all false flies in the face of emperical evidence. It also biases science which is supposed to be objective.
As for magical events, Stephen Hawking once wrote that a black hole could theoretically emit a color tv or the complete works of Proust in leather bound volumes. I will take his word over yours that magical theories like Quantum Mechanics are useful.
"Can I ask a question?" is self-contradictory in that it obviously is a question. If you could not ask a question, then you could not ask this question.
That you cannot understand such a simple paradox is perhaps due to your bias against them.
Judge for yourself. People who deny paradox are often blind to them, including Asians. They are as slippery as it gets conceptually and there is no easy way around this problem. I can no more make someone acknowledge paradox than I can explain color to a blind man. The difference here is that blind men don't usually try to argue that colors don't exist. [/B]
Hawking is merely trying to reflect on a leading edge idea in such a way as to sell a lot of books. I would be willing to bet that he does not believe there is anything "magical" going on.
And once again, I've said nothing about the word "useful".
Here's your logic.
1) You imply that I have said that paradoxes are not useful
2) You equate paradoxes to Quantum Mechanics
3) Therefore I don't think Quantum mechanics is useful
This is stretching it a bit I believe. Paradoxes exists in the mind when there is a lack of knowledge of reality. Once more information is obtained paradoxes dissappear. Again...they aren't REALLY paradoxes. So they cannot play a part in some "self contradictory paradox of ourselves" So boiling all this down, all you're saying is that a lack of knowledge(mind paradoxes) keeps us from saying that paradoxes don't really exists. While this is true, it can also be said for god and magical elves on Mars. It's pretty meaningless.
"Can I ask a question?" is self-contradictory in that it obviously is a question. If you could not ask a question, then you could not ask this question.
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I do understand the point here. But I don't see this as a paradox. There is no contradiction here. The answer to the questions is "yes". If the answer was "no", then it would be a paradox.
Anyway, even if you could convince me this sentence was a paradox, I don't see how it carries over to the question in the title of this thread.
I don't get it I admit. It should not be any more slippery than anything else if it is properly defined and understood. The question above that you think is a paradox and that I do not is a clear example of a lack of common understanding.
Thus an open mind is even more powerful than the issue of whether or not paradoxes really exist. That is what I am implying.
This is about as biased as it gets, and as I wrote it contradicts the fact that paradoxes do not always "disappear" once more knowledge is obtained. The discovery of Quantum Mechanics was not due to a loss of knowledge, but an increase.
If you cannot follow what you are saying, much less what I am saying and do not understand what paradox is, then that explains why you are having so much trouble. This topic is about paradox, so I brought one up. Sue me.
"Can I ask a question?" is not as strong a paradoxical statement as the liars paradox by the standards of logicians, but is one nonetheless. Its contradiction is implicite rather than explicit as in the case of the liars paradox.
you're saying that I'm closed minded because I have an opinion?
You cannot be 50% pregnant and you cannot have a "weak paradox". You either are or you're not. Thats my definition. That doesn't mean that anything you are saying is wrong. It just means we have to come to a common understanding about what we mean when we say the things we say. The usefulness of your concept of paradox can be better contributed to if we all understand what you mean when you say paradox.
Originally posted by wuliheron
Flip, the question is simply does the universe allow for paradoxes? Not Are Paradoxes Real?
If it is so obvious then why is Mentat asking the question? Are you sure you have the question right?Obviously the universe does allow for paradoxes, whether they are real or not.
Opinions are like bung holes, everyone's got one. Opinion's don't make us closed minded, negative attitudes do and, if you are not aware of it, yours comes through.
Not using classical logic you can't, but classical logic has its limitations as does classical physics. Modern physics and logic says it is quite possible for a cat to be both dead and alive at the same time. Likewise, you can be fifty percent pregnant according to modern logistics and science.
This paragraph describes what you are doing to a T!Again, having an opinion is like having a bung hole, but when we clutch such opinions in the face of overwhelming evidence to the contrary and argue them non-stop, our negative attitudes and closed mindedness become obvious for all to see.
Classical logic and physics are not being thrown out with the garbage by any stretch of the imagination, and modern physics does not definitively prove the universe is random, but it certainly highlights the value of an open mind. [/B]