| 11. | The former is a rational number; the latter is an irrational number.
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| 12. | The same can be said for any irrational number.
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| 13. | Integers, rational and irrational numbers are just different points along that line.
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| 14. | It can't be an algebraic irrational number like " 2.
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| 15. | Musical tunings in which all pitches have temperament because it involves irrational numbers.
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| 16. | We seek to prove that there exist two irrational numbers a and b such that
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| 17. | Being an irrational number, cannot be expressed exactly as a compass and straightedge.
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| 18. | An irrational cut is equated to an irrational number which is in neither set.
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| 19. | This cut represents the irrational number " 2 in Dedekind's construction.
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| 20. | What can be said about the irrational numbers?
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