Sufism in mathematics

Since ancient times the math develop an exact cognizance that endure non tolerate hallucinations requires uncloudedness of concepts and assertions, do non take no depictn proclaims the strike and grandeur of consistent reasoning. According Zh.Fabra mathematics - an awe close to instructor in the contrivance of direct thought, to come to order, where they ar sorted, eliminate non star get across is dirty and award clarity. Errors in reasoning, often arise from invasions of the natural law of natures of orchis system of logical system, whose foundations laid big classical philosopher Aristotle (Labor Categories, On tulmachennya, commencement ceremony psychoanalyst, act analyst, capital of Kansas). Errors associated with the violation of the laws of logic and the laws of mathematics are of two types: paralogism and mundanity. Paralogism (from Hellenic - legal injury) - is false reasoning, rational slue do is not intentional, notwithstanding ascribable to deprivation of consistency in reasoning or breach of the laws of logic. Paralogism out of the question in mathematics, where in that location is room for error, on that point really is no place mathematics. A completely various situation with mundaneness. Sufism (classic-crafty Freaks, invention, glib reasoning) - this argument designedly constructed so that they take lohichnupomylku and, of course, lead to ridiculous conclusions. The founder of the schooldays of the Sophists was a Greek philosopher Protogor Adbery (c. 480 - bl.410 x to y.). adit sophism contributed vdoskonavlennyu oratory, make better logical persuasion culture. However, after round philosophers, the Sophists the art of sophistry has become a controversy for controversy. mixed examples of sophistry leads in his dialogues, Plato (427 -347 y to x.). Euclid (1V century. BCs.) Created an amazing collection of Psevdariy which regrettably is not extant. It was the offset printing book vertical mathema tical sophistry and paradoxes. First epitome and classification sophistry gave Aristotle in his treatise On sophistical refutation. straightaway sophistry, particularly mathematics, taught to think, to prove and disprove clear express their thoughts, they zdyvovuyut and delight, grant rise to creativity, finding new discoveries. oft sophistry and paralogism arrive when considerations violate the laws of logic: the law of identity, the law of contradiction, the law was exactly a leash law dostatnoyi reason.\nThe law of identity requires that ane and the identical idea, which is contained in this reasoning, the repetition had the same meaning. In violation of the Act errors of three types: ekvivokatsiya, lohomahiya and amfiboliya. The essence of the error ekvivokatsiyi (from Latin - those that buy the farm the same) that the arguments used in meaningful trace of the object, wherefore another, then another sense, considering the material body unique. For example: each metal is an fraction. aspect - metal. Consequently, brass is an element. The wrong conclusion is due to a mistake ekvivokatsiyi. In the first sentence, the word metal is used in the sense of a chemical element in the second case of debasement metals - a cognitive content that has the physical properties of metals: malleability, elektroprovodnist, golden sheen and more. In mathematics, the error arsehole not be ekvivokatsiyi maayzhe always obvious, since no homonymy requirement does not allow ambiguity of concepts used in mathematical reasoning.\nsometimes during the discussion, one of the participants uses some meaningful detect in a different sense than his opponent. The argument can be infinite. This statement is called lohomahiyeyu (from Greek - verbal dispute). Lohomahiyeyu also called roll that does nothing essential. Amfiboliya (from Greek - ambiguity) occurs when the sentences that can be tulmachyty differently. For example, the famous forge do not execute excuse protelezhni admits two interpretations.