asymptotics - Relatioship between the average of determinants of the following class of matrices and the determinant of the trivial one

3 questions on fundamentals of Martin-Löf kind concept Answer

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3 questions on fundamentals of Martin-Löf kind concept

I began to learn the HoTT bespeak. I’m now on chapter 1 and I’ve a number of questions regarding not plane homotopical, however "regular" kind concept.

  1. On web page 24, the place the universes are launched, there’s a sequence:

    $$mathcal U_0:mathcal U_1:mathcal U_2:cdots$$

    Everything right here is smart, however I do not grasp what’s $mathcal{U}_0$. Maybe I’ve glossed over the definition?

  2. Later within the identical part it’s acknowledged that there isn’t a kind containing all $mathcal{U}_i$. Since I’m not but free from the set-theoretic perspective, I can not ameliorate however marvel: can we outline one thing love $mathcal{U}_{aleph_0}$ and so forth?

  3. Finally, I’ve a extra imprecise query. I’ve acquired some suffer with C++ and so I defined to myself Martin-Löf varieties utilizing knowledge varieties from C++. However, I’ve doubts that this strategy is plane remotely rectify. Can any individual ameliorate me to grasp if this affinity rectify or not?

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