Does not the "inexistence of infinitesimals in the real number system" conflict with the epsilon-delta definition of limit in the set of real numbers?

score 232 · Answer 13 · 2026-02-23 06:22:23

232

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Nondegenerate triangle of zero area. How is it possible?

Published on 23 Feb 2026 - 6:22

score 167 · Answer 14 · 2026-02-23 06:22:23

167

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Does "$\varepsilon$ is indistinguishable from zero" mean that $\varepsilon$ is less than any positive real number?

Published on 23 Feb 2026 - 6:22

score 200 · Answer 15 · 2023-10-12 20:08:50

200

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How is it possible that $dx = \varepsilon$?

Published on 12 Oct 2023 - 20:08

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Does not the "inexistence of infinitesimals in the real number system" conflict with the epsilon-delta definition of limit in the set of real numbers?

Nondegenerate triangle of zero area. How is it possible?

Does "$\varepsilon$ is indistinguishable from zero" mean that $\varepsilon$ is less than any positive real number?

How is it possible that $dx = \varepsilon$?

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