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Intro to the problems with "Cauchy sequence real numbers"
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Classroom Contents
Real Numbers as Cauchy Sequences - Limitations and Challenges - Math Foundations 114
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- 1 Intro to the problems with "Cauchy sequence real numbers"
- 2 Infinite sequences of rationals
- 3 Choice approach to infinite sequences
- 4 Algorithmic approach to infinite sequences
- 5 Cauchy requirement is ambiguous
- 6 Algorithmically generated infinite sequences
- 7 Equivalence classes are ambiguous
- 8 Two Cauchy sequences of rationals
- 9 What is an 'equivalence class'?
- 10 Algorithmic approach to sequences
- 11 Applications and infinite decimals
- 12 Show the arithmetic!
- 13 What happens to rational numbers?
