or uncountable infinity. Countable infinity is when it’s easy to label the numbers (like if you’re counting whole numbers 1, 2, 3…. Uncountable infinity is where the set contains all the numbers and everything in between, like 1, 1.22, 1.23, 1.256…. Set theory is beyond ...
Which also means that even unions of uncountably many disjoint subsets of finite objects would be countable, if there were an uncountable number of disjoint subsets of finite elements. I am having trouble parsing what you are saying here. There is no such thing as uncountable family of ...
Your assumption wasn't that L∪d(L)c={0,1}∗ And anyway, suppose it were, then you could add the diagonal of that again, and so forth on to infinity. Maybe you could try to define a relation Ln+1=Ln∪d(Ln)c where L0 equals something, and define an L∞. But what does ...