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02:44
@SimplyBeautifulArt Since fundamental sequences are basically well ordered sets themselves with order type $\omega$, does it mean it is the same as the countable cartesian product of a sequence of ordinals in ascending order, i.e. a $\omega$-tuple?
03:15
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12:31
@Secret idk/probably
 
11 hours later…
23:49
$\hookrightarrow$
Summary with some corrections
Tier 0:
ZF Set theory; Type Theory
$0 = \varnothing; 0 : \text{Nat}$
Tier 1:
$\{\forall n : n^+ = n \cup \{n\}\}$ Base case=0;
$0 : \text{Nat}$
$\text{Succ : Nat $\to$ Nat}$
$\text{True, False : Bool}$

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