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Je souhaite réduire la taille de mon fichier "Exemple de mixage" de moitié. Quel conseil me donneriez-vous ?

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Символ для поиска в социальных сетях

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Consider the following theorem:

The sum of two even integers is also an even integer.

What, if anything, is wrong with the following attempt at proving this theorem?

Proof.

  1. Pick any two even integers, and write them as 2x and 2y.
  2. 2x + 2y can be rewritten as 2(x + y).
  3. Since (x + y)  is the sum of two integers, which is also an integer, multiplying it by 2 must give an even integer. So 2(x + y) is even.
  4. Thus, the sum of two even integers is also even.

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Which of the following defines the principle of logical deduction, or modus ponens?
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What is an axiom?

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You are trying to prove the hypothesis that among a group of three people, Person A has the largest number of pineapples. What, if anything, is wrong with the following attempt at proving this?

Proof.

  1. Person A and Person C both have an even number of pineapples, but Person B has an odd number of pineapples.
  2. The person with the most pineapples in the group has eight pineapples.
  3. Person A has more pineapples than Person C.
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