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What is implied by "implies"?

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3

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When an if-then statement is false? What constitutes a counterexample to an if-then statement?

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Is the phrase `well-defined' well-defined?

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3

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Why do mathematicians frequently flirt with danger, giving a definition and then saying, `Now we must check that this is well-defined.'? Couldn't one just give a decent definition to start with?

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The definition of 'definition'.

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3.5

Promedio: 3.5 (2 reseñas)

What does it mean to define a mathematical concept? As any experienced mathematician is aware, there is a small subtlety about this, but it is not always highlighted, for which reason I wish to highlight it here.

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