The problem was not so much with spelling as it was with the aggressiveness of this intro.

Beyond the aggressiveness, the idea that TL;DR is bad or impossible is disputable. Everything can be TL;DRed, as long as it has a point. And in any case it's bad practice to "bury the lead".

Not to mention the fact that aleph isn't anything. The alephs are indexed by ordinals, the smallest being aleph_0.

Because of this mistake, I shall dismiss all arguments made in the blog post.

And you're probably wise in doing that.