I will not contradict myself.

Pro has tried to weasel out of a contradiction by saying that he only stated that P=NP is POSSIBLY true. However, to even know if it is possibly true he would have to know that P=NP. "One can't have a proof for an unproven conjecture, because a proof would make the unproven conjecture proven." What I meant was widely known to be unproven. "There is controversy about Cantor." Only from people who refuse to accept the fact that some infinities are greater than others. Cantor PROVED it. Twice. There is no controversy to be had. "Also, it is not logically possible to be more powerful than something that can do all things logically possible." With a greater infinity, it is indeed possible. "It contains all sets that do not contain themselves, but it also contains sets that do contain themselves. You never said it couldn't contain sets that contain themselves. Therefore, no contradiction." Pro does not understand set theory. Sets contain what we say they contain, and nothing else. Therefore, contradiction. "I don't know that my answer is true. It was an educated guess, based on a few other conjectures that I looked up. Therefore, I have no proofs, but I believe that the Riemann Hypothesis is false." That's not what you said. You clearly asserted that it IS false by saying "no". "I see no contradiction. My intact life is regulated by government, as in, the government stops me from killing my neighbor. The government knows what my phone number is, but they don't know my e-mail password." Your email password is included in your "entire life". So the government should know it. But they shouldn't. Contradiction. Since this is only an example, and examples tend to be weak, I remind the reader of the original statements: "people should have their ENTIRE lives regulated by the government"; "'[the government should be allowed to keep track of citizens' personal lives] to an EXTENT." Biblical Contradictions: http://www.infidels.org... ======== <<<"21. Is your answer to #7 correct?" I don't know.>>> This is not a yes, no, or explanation as to why neither is applicable. Con wins. Contradiction Seven: #12 and #22 <<<"22. Is your answer to #10 correct?" Yes.>>> It is not correct. Cantor proved that the set of reals is greater than the set of integers. This contradicts the answer for #12. Contradiction Eight: #1 and #25 Pro says "I can't be sure", implying that he knows that question #25 is unprovable. He cannot know this. Contradiction Nine: #1 and #27 Pro cannot possibly know that an omnipotent God exists. Contradiction Ten: #2 and #28 An ideal voting system is logically impossible. God cannot do the logically impossible. (http://en.wikipedia.org...'s_impossibility_theorem, http://www.tulane.edu...) Contradiction Eleven: #8 and #30 Pro states that life should be valued over liberty, but he also states that war is sometimes justified. War is the fight for liberty (be it territorial liberty, liberty from oppression, liberty to resources, etc.) at the expense of life. However, in #8, Pro states that life is always to be valued over liberty, implying that war is never justified. Contradiction. ======== Just for fun, I am going to try and explain Cantor's proof. To determine if two sets are equal, we try to match each member of one set to a member of the other set. If at least one member of set A cannot be matched to a member of set B, set A is greater than set B. Create a list of every positive integer. (It's trivial to prove that the set of integers equals the set of positive integers, so that difference is irrelevant.) This list is infinitely long. Now match up every real number to an integer. I can prove that there are more real numbers than integers by showing that in the mapping between real numbers and integers, we missed at least one real number. To simplify, let's assume that these numbers are in binary. So every digit is a zero or a one. The real numbers have an infinitely long decimal expansion of zeros and ones. So what we do is take a diagonal through the decimals of the real numbers. Choose the ones digit of the first number, the halves digit of the second number, the fourths digit of the third number, the eighths digit of the fourth number, and repeat infinitely many times. Now take every digit in this diagonal lis and turn every zero into a one and every one into a zero. This results in a number which differs from every single other number on the list in at least one decimal place. We have created a number in the set of the reals that cannot be matched up to an integer. QED.