By Israel M. Gelfand, Vladimir S. Retakh

Devoted to the reminiscence of Chih-Han Sah, this quantity keeps a protracted culture of 1 of the main influential mathematical seminars of this century. a few issues are lined, together with combinatorial geometry, connections among common sense and geometry, Lie teams, algebras and their representations. an extra sector of significance is noncommutative algebra and geometry, and its kin to trendy physics. individual mathematicians contributing to this paintings: T.V. Alekseevskaya V. Kac

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You may swallow each spoonful quickly. 22. chimp for a nephew, be a monkey's uncle. I'm a monkey's uncle. If I had then 26 Chapter 1: light. is not a flying saucer. ) 19. " one of the Set III The first sentence of the advertisement below is a conditional statement that most people would probably accept as true. Compare it with the last sentence of the advertisement. Assuming that "you know just what to do" means that you will decide to buy a Volkswagen station wagon, is the advertisement's logic valid?

19. Is it possible for off" valid 20. an argument is true, follow that the argument is valid? 17. If the conclusion of Set the conclusion of an argument all three statements of a argument to be false? 15 minutes every hour. will lose it loses 15 if it Therefore, a clock marked does If does accurate. Is it possible for all three statements of an invalid argument to be true? II first glance, it may not seem that any 23. If you are faster than a speeding bullet, conclusion can be drawn from the following then you are more powerful than a loco- pair of premises.

Lesson 4: Definitions 21 is out of play, then it has completely crossed the goal line. d) If the ball 22. The following statement is that are equivalent to the statement: It is a definition Marzipan is molded candy made from almonds. of the following statements be true? a) If something b) a whodunit iff it is a detective story. of marzipan: Which two conditional statements 23. Write the 24. Rewrite the following a single statement. must as brief as If is marzipan, it is molded candy made from almonds.