[Math] Which course would you go for first Measure Theory or Set Theory

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Having taken Real Analysis I before (the seven first chapters of baby Rudin) I have the option to take Measure Theory now. However I am torn between that and Set Theory. Which course would you go for first? Which theory would give me a better grounding in Mathematics?

Thank you

Best Answer

I would recommend taking set theory as it gives you a good grounding in the fundamentals of modern mathematics. For me, learning axiomatic set theory gave me a better understanding of the real core of mathematics, but that's just my personal experience, to others it may seem very dry.