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Conifold
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How were irrational numbers that are not constructible accepted by mathematicians?

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Conifold
  • 80k
  • 6
  • 196
  • 308

Irrational How were irrational numbers that are not constructible accepted by mathematicians?

Is there any rigorous proof in the history mathematicsWhat was behind accepting the existence of the irrational numbers historically? Especially numbers that are not constructible on the real number line, say for example,$$\sqrt[3]{2}$$ $\sqrt[3]{2}$. Was it a (somewhat) rigorous proof, or was it only an agreement or convention among mathematicians in those days?

Irrational numbers that are not constructible

Is there any rigorous proof in the history mathematics behind accepting the existence of the irrational numbers that are not constructible on the real number line, say for example,$$\sqrt[3]{2}$$, or was it only an agreement or convention among mathematicians those days

How were irrational numbers that are not constructible accepted by mathematicians?

What was behind accepting the existence of irrational numbers historically? Especially numbers that are not constructible on the real number line, say for example $\sqrt[3]{2}$. Was it a (somewhat) rigorous proof, or was it only an agreement or convention among mathematicians in those days?

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