The AC in Real Analysis [duplicate]












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  • Foundation for analysis without axiom of choice?

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  • Importance of Axiom of Choice (or its weak form) in Real Analysis

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  • Axiom of choice and calculus

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To what extent does real analysis as we know it to be today depend on the axiom of choice? Could it be said that in order to maintain the usefulness of real analysis, the axiom of choice is needed?






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marked as duplicate by Asaf Karagila♦ axiom-of-choice
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 Jan 14 at 19:50


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This question already has an answer here:




  • Foundation for analysis without axiom of choice?

    6 answers



  • Importance of Axiom of Choice (or its weak form) in Real Analysis

    1 answer



  • Axiom of choice and calculus

    1 answer




To what extent does real analysis as we know it to be today depend on the axiom of choice? Could it be said that in order to maintain the usefulness of real analysis, the axiom of choice is needed?






real-analysis axiom-of-choice







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marked as duplicate by Asaf Karagila♦ axiom-of-choice
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 Jan 14 at 19:50


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.


















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    Jan 14 at 19:53














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0








0





$begingroup$



This question already has an answer here:




  • Foundation for analysis without axiom of choice?

    6 answers



  • Importance of Axiom of Choice (or its weak form) in Real Analysis

    1 answer



  • Axiom of choice and calculus

    1 answer




To what extent does real analysis as we know it to be today depend on the axiom of choice? Could it be said that in order to maintain the usefulness of real analysis, the axiom of choice is needed?






real-analysis axiom-of-choice







share|cite|improve this question









$endgroup$





This question already has an answer here:




  • Foundation for analysis without axiom of choice?

    6 answers



  • Importance of Axiom of Choice (or its weak form) in Real Analysis

    1 answer



  • Axiom of choice and calculus

    1 answer




To what extent does real analysis as we know it to be today depend on the axiom of choice? Could it be said that in order to maintain the usefulness of real analysis, the axiom of choice is needed?





This question already has an answer here:




  • Foundation for analysis without axiom of choice?

    6 answers



  • Importance of Axiom of Choice (or its weak form) in Real Analysis

    1 answer



  • Axiom of choice and calculus

    1 answer







real-analysis axiom-of-choice




real-analysis axiom-of-choice






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 14 at 19:46









joshuaheckroodtjoshuaheckroodt

1,205622




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marked as duplicate by Asaf Karagila♦ axiom-of-choice
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 Jan 14 at 19:50


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marked as duplicate by Asaf Karagila♦ axiom-of-choice
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 Jan 14 at 19:50


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.














  • $begingroup$
    There are probably more thread, slightly more scattered, related to this topic. I leave you to find them on your own.
    $endgroup$
    – Asaf Karagila♦
    Jan 14 at 19:53


















  • $begingroup$
    There are probably more thread, slightly more scattered, related to this topic. I leave you to find them on your own.
    $endgroup$
    – Asaf Karagila♦
    Jan 14 at 19:53
















$begingroup$
There are probably more thread, slightly more scattered, related to this topic. I leave you to find them on your own.
$endgroup$
– Asaf Karagila♦
Jan 14 at 19:53




$begingroup$
There are probably more thread, slightly more scattered, related to this topic. I leave you to find them on your own.
$endgroup$
– Asaf Karagila♦
Jan 14 at 19:53










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