Difficulties with Dedekind Cuts - Real Numbers and Limits in Mathematics

Difficulties with Dedekind Cuts - Real Numbers and Limits in Mathematics

Insights into Mathematics via YouTube Direct link

Intro to Dedekind's approach to "real numbers"

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1 of 7

Intro to Dedekind's approach to "real numbers"

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Difficulties with Dedekind Cuts - Real Numbers and Limits in Mathematics

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  1. 1 Intro to Dedekind's approach to "real numbers"
  2. 2 "Cuts" of the rationals
  3. 3 Principles of Mathematical Analysis
  4. 4 Subsets of Q
  5. 5 Prior theory of 'infinite sets'
  6. 6 Arithmetic with 'Dedekind cuts'
  7. 7 Unwieldy, infinite sets

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