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stepney141 >> A mathematician who has studied mathematics intensively should be very good at logical thinking. The fact is, however, that this is not always the case.

This is due to the fact that mathematicians try to push the logic of mathematics when the logic of mathematics is different from the logic of “the world”. I think something I feel when I see TL’s Academia flame is being verbalized here. image

  • The Law of the Customs Union, Vol. 44, No. 4 and No. 5

  • 186 (742)

  • Dr. Masahiko Fujiwara, another mathematician, said the following based on his experience observing his fellow mathematicians.

  • “A mathematician who has studied mathematics intensively should be a very good logical thinker. However, the fact is not always so.

  • I don’t think that is the case. I know from many years of association with mathematicians that they excel at “making valid inferences.

  • I don’t think it’s very likely. Sometimes I hear people say that the mathematics department is a baggage of the faculty” (Fujiwara, “Mathematician’s Break Time.

  • (1993, p. 95). It is a matter of mathematicians trying to push the logic of mathematics, even though the logic of mathematics and the “logic of the world” are not the same.

  • by making it so, he says. In the case of mathematical logic, the chain of logical steps is very long, and yet the validity of the reasoning is “isa

  • “It is not necessarily decreasing in validity. In contrast, the “logic of the world” has a short chain of logical steps, and “the legitimacy is always reduced at each step.

  • “The validity of logic is a function of the situation. The validity of logic is a function of the situation. The indeterminacy of the situation makes the validity of the inference a function of the length of the chain of logical steps.

  • The justification decreases sharply with time. All people are aware of this, albeit subconsciously, so they dare to use a short logical syllogism.

  • tep must be the only one used. The assumptions in mathematics are very simple, and yet all of them are always explicit. - square block ăźè©±ă ăȘnishio.icon

  • “It is fair to say that mathematization is simplification” (p. 96198, above). This simplification becomes a habit of the mathematician, and it is the reason why he/she is so much in love with the

  • In other words, it is “the reason why mathematicians’ logic does not work in the world” (see above, p. 99).

  • Dr. Fujiwara, by the way, says that the purpose of mathematics education is to develop logical thinking because of the above circumstances.

  • The first is to develop a sense of number and quantity. Rather, the purpose of mathematics education is, first, to cultivate a sense of number or quantity, and second, to provide a foundation for the development of a sense of the world,

  • The third is the cultivation of “sensitivity to the beauty of mathematics. And “mathematical beauty,

  • One is “the beauty of a solid structure built through the rigorous procedure of argumentation” and the other is “a very simple and straightforward theorem or law.

  • is said to be the beauty of “the way in which the myriad intricate phenomena are > controlled” (see above, pp. 101104). This is,

nishio Interesting statement, what is your source?

stepney141 Here it is!

Yamakawa, Yumi. “Introduction to Mathematical Politics”, The Review of Law, Vol. 44, No. 4-5, pp. 737-789, (1995-01-20). http://hdl.handle.net/10112/00024633


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