I was going to call this "Monotonic monads of infinitely superimposed zeros: Inquiries into categorical atomism at the foundation of mathematics" but I think I'll wait a moment before giving this a public title, and go with this working draft, which auto-save calls it "draft 62023" for some reason or another.
Soon after writing those words, I discovered the phrase "infinite number of infinitely transparent absolute actualities" in a paragraph written by D. G. Leahy. It so precisely conforms in meaning with the heart of the sentence I had just written, I came back to this page.