Five paradox, challenge the limits IQNO.1-- Liar (1iar paradox Nike Air Max 2011 or Epimenides' paradox) the oldest semantic paradox. One of the four paradoxes 6th century BC the Greek philosopher Ibn wall created by Mendelssohn. is Special Nike Air Force 1 Unisex Blue White Shoes about Nike Air Max 89 ' I'm lying. 'The paradox in particular: He said:' All Cretans are liars 'If he is telling the truth, then the Cretans are liars, but Iraq is a wall Mendelsohn. Cretans, he must say lies. He lied? If he does lied, then it is not the Cretans liars, so Iraq is bound to said wall Mendelssohn truth he how will not only lie, but the truth of it philosopher Bertrand Russell once said seriously thought about this paradox, and trying to find a solution in his 'I have a philosophy of development' Chapter VII 'Principia Mathematica' in said:?. ' Since 2015 Latest Nike Shoes Aristotle, whichever school logician, from which they seem to have accepted the premise can be introduced in a number of contradictions. This indicates that something is amiss, but no correct way to refer to what is In the spring of 1903, one of the contradictions found I was enjoying the kind of logic honeymoon interrupted, 'he said: Paradox lie most simply lays out the contradictions he found:.' That lying People say: 'No matter what I say is false' In fact, this is what he said a word, but this sentence means that overall he is saying just this sentence includes time in the overall among. it produces a paradox '(ibid.) Russell trying to resolve with the proposition tiered approach:' The first stage is the proposition that we can say that the proposition does not involve general proposition; the second stage is to involve the whole of the first-class proposition proposition. Those propositions; the rest imitation of this, ad infinitum. 'However, this method does not achieve results.' In 1903 and 1904 the entire period, I almost totally committed to this matter, but without success 'NO.. . .2-- Ille Electra paradox (Eletra paradox) logic in the history of the earliest meaning of the paradox proposed by the ancient Greek Stoic its basic contents are: Ille Electra One 哥哥奥列斯特home. Although Ille Electra is Special Nike Air Force 1 Low Womens Pink Shoes her brother Orest know, but she did not know this man stood in front of her. wrote an inference. Namely: Ille Electra did not know this man stood in front of her was her brother Ille Electra know of special Austrian column was her brother who was standing in front of her Austrian column of special so...伊勒克 hold pull both know and do not know this man was her brother .NO.3-- famous barber barber paradox paradox is Bert Leonard Russell raised. sign written on a barber a:. '.! my barber is skilled, famed city I will not give myself all the city-oriented people shave shave, I can only give these people shave express my warm welcome to all of you.' But, one day this bit barber mirror to see his long beard, and he instinctively grabbed the razor, you see if he can give himself shaving? If he himself shaving, he would shave his own kind of people. However, his signature that he did not give these people shave, so he could not scratch myself. If another person to give him a shave, and that he would not shave his own people, but he said he will give all the signs of such people . shave so that any other person can not give him shave it seems, no one can give the barber shave crack:.! http: //haoqis.com/2011/12/19/perfect-breakdown-barber-paradox .htmlNO.4-- Don Quixote paradox of world literature 'Don Quixote' in such a story: Don Quixote, Sancho Panza servant went on a small island, became The king of the island, he issued a strange law: to reach the island each person must answer the question: '? You come here to do what,' If the answer is yes, they allowed him to play on the island, and if got it wrong, we want him hanged. For each of the island to the people, or is fun to play, or they are hanging on the gallows. How many people dare to die to this island to play it? One day a audacious people came, as usual, he was asked this question, and this person's answer is:. 'I'm here to be hanged,' Will Sancho Cheap Nike Air Force 1 Mens Beige White Shoes Panza to let him play on the island, or the He hanged? If we should let him play on the island, and then he said, 'to be hanged,' if not consistent, that is to say, he said, 'to be hanged,' is the wrong thing. Since he was wrong , they should be sentenced to death by hanging, but if Sancho Panza take him hang it? Then he said, 'should be hanged' as appropriate to the facts, which is right, since he got it, do not This was hanged, but we should let him play on the island. Eventually he think again, let the guards put him, and declare this law obsolete .NO.5-- Mozi barge 'The word perverse' Zhuangzi 'Qiwu On ', said:' Big Debate Debate without saying ... without words and, 'to the effect that: the truth is clear, Air Jordan 12 speech and excuse is always a difference between the truth and not be expressed with language as a thinker Mozi Mohist , in the writings of 'Mozi bottom' and 'Mo said under by' criticized the 'perverse speech do,' saying: 'Word is doing perverse, rebellious said in its statement to the perverse, not too... The man's words can be, is not contrary to, then there may also; the man's words not to when shall without trial 'to the effect that Mozi that' The word perverse 'This expression is itself illusory, if. In 'All words can not express the truth' as a precondition, that the premise itself is not the truth left bank note:? Someone said: 'ask questions is to solve half the problem,' and proposed the paradox is to allow mathematician unavoidable problem . It mathematician said: 'Solving me, or I'll swallow your system!' As Hilbert 'On the infinite,' the article pointed out: 'Must admit, in the face of these paradoxes, we are situation in which the people can not long endure Imagine: this is known in mathematics exemplary reliability and truth where everyone learned to teach the concepts and structures and reasoning methods applied could even lead to unreasonable The results also fail if even mathematical thinking, then it should go look for reliability and truth of it? 'paradox appear forced into the biggest passion mathematician to solve it. From a mathematical point of view, the paradox of forcing people From the point of view of logic and philosophy of mathematics basic problems again conducted a comprehensive and in-depth research, this effort is the attempt to give a relatively more solid mathematical foundation; logical point of view, a single to two-valued logic, its value must be or true or false, that is not that is true and false, however, the logical paradox has undermined the law of contradiction and excluded middle, so that the value proposition that is true and false, not sure, to solve the paradox of efforts can be said that in an attempt to maintain formal logic The basic law; philosophical point of view, to solve the paradox of people to make their own deepening understanding, and thus relatively static thinking form and structure, as well as the intricate levels and the relationship between them did further analysis to solve the paradox. process, various theories emerged: the first crisis led to the birth of the mathematical axioms of geometry and logic; second mathematical crisis led to the complete analysis of the basic theory and set theory of creation; Third Mathematical Crises contributed produce mathematical logic development and a number of modern mathematics. Mathematics was thus obtained flourish, which is perhaps the mathematical paradox lies the significance of it. Paradox produces from its premise is false! paradox further evidence of logical reasoning The greatness and correctness!