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Cardinality, Logarithms, and Hyperreals

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#nonstandard-analysis
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Intuition for nonstandard analysis from limits conception

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#calculus #real-analysis #derivatives #nonstandard-analysis
177
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Improper integral over the rationals

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#sequences-and-series #measure-theory #improper-integrals #nonstandard-analysis #indeterminate-forms
213
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Intuition behind the Idealization Axiom of Internal Set Theory

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#set-theory #nonstandard-analysis
160
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Where can I find a proof that nonstandard analysis is a conservative extension of standard analysis?

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#logic #nonstandard-analysis
124
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Resources for Learning Hyperreal Numbers

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#nonstandard-analysis
80
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Notation Question for "Generalization of L’hopital’s Rule" PDF by V. V. Ivlev and I. A. Shilin

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#limits #multivariable-calculus #nonstandard-analysis #infinitesimals #indeterminate-forms
168
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Solving Indefinite integral without FTC

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#calculus #nonstandard-analysis
202
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Vacuous truths in Superstructure approach to Nonstandard Analysis

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#logic #set-theory #model-theory #nonstandard-analysis
179
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How to do this problem without using infinitesimal?

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#real-analysis #integration #definite-integrals #riemann-integration #nonstandard-analysis
118
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Does every standard set have a standard cardinality?

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#set-theory #first-order-logic #nonstandard-analysis
511
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Does absolute infinity invoke Cantor's Paradox?

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#elementary-set-theory #paradoxes #nonstandard-analysis
64
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Intuitive Understanding of Order of Hyperreals

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#nonstandard-analysis #ordered-fields
186
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Is $e$ transcendental when working with hyperreal numbers?

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#transcendental-numbers #nonstandard-analysis
344
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Discrepancy between calculus methodologies - Is it significant?

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#calculus #nonstandard-analysis #smooth-functions

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