Suppose your mind is really nothing more than the sum of a bunch of physical processes. If so, this can be simulated on a computer (albeit a much more powerful computer than any we currently have).
When you get right down to it, computer programs are just a bunch of ones and zeroes. Every single one of them, from Plants vs Zombies, to the browser you’re reading this on, is just a really, really long number.
We’re pretty sure that π contains all finite number sequences. Your mind as a computer program is a finite number sequence. π contains that number.
Consider digital-you once more, running inside the computer. I think we can agree that he’s conscious.
What if we remove the computer? On what basis do we privilege a physical substrate, when really we’re only already interested in what it is representing in the abstract. Remove the computer, and you just have the number. From the inside, the number itself is conscious. This number feels exactly like you do right now.
And so π is not only conscious, it is teeming with minds (same goes for e and √2). Every version of every person that ever has or will exist, and infinitely more who haven’t, live within it.
This is the metaphysics of Max Tegmark.
I find it incredibly seductive, escapable only by denying the supposition in sentence 1.