At one point I had the idea that I was going write a bunch of For The Record posts — position papers that attempt to be final words on a topic (at least until new considerations came into play). Other one about guns (back in 2015), I never really followed through.
In a sense, all posts, are final words (until further consideration), so all posts can be seen as FTR. The question is whether it makes any sense to mark an expressed opinion as more official or duly considered rather than off the cuff or casual. That was my thought, anyway.
So, seven years later, FTR take two: Free Will
Last February I posted about how my friend Tina, who writes the Diotima’s Ladder blog, asked for some help with a set of diagrams for her novel. The intent was to illustrate an aspect of Plato’s Divided Line — an analogy about knowledge from his worldwide hit, the Republic. Specifically, to demonstrate that the middle two (of four) segments always have equal lengths.
The diagrams I ended up with outlined a process that works, but I was never entirely happy with the last steps. They depended on using a compass to repeat a length as well as on two points lining up — concrete requirements that depend on drawing accuracy.
Last week I had a lightbulb moment and realized I didn’t need them. Lurking right in front of my eyes is a solid proof that’s simple, clear, and fully abstract.
Recently my friend Tina, who writes the blog Diotima’s Ladder, asked me if I could help her with a diagram for her novel. (Apparently all the math posts I’ve written gave her ideas about my math and geometry skills!)
What she was looking for involved Plato’s Divided Line, an analogy from his runaway bestseller, the Republic (see her post Plato’s Divided Line and Cave Allegory for an explanation; I’m not going to go into it much here). The goal is a geometric diagram proving that the middle two segments (of four) must be equal in length.
This post explores and explains what I came up with.
I’ve got stuff on my mind!
My post last month about Dr. Gregory Berns and his studies of animal minds ran long because I also discussed Thomas Nagel and his infamous paper. Dr Berns referenced an aspect of that paper many times. It seemed like a bone of contention, and I wanted to explore it, so I needed to include details about Nagel’s paper.
The point is, at the end of the post, there’s a segue from the “Sebald Gap” between humans and animals to the idea we can never really even understand another human (let alone an animal). My notes for the post included more discussion about that, but the post ran long so I only mentioned it.
It’s taken a while to circle back to it, but better late than never?
In the nearly nine years of this blog I’ve written many posts about human consciousness with regard to computers. Human consciousness was a key topic from the beginning. So was the idea of conscious computers.
In the years since, there have been myriad posts and comment debates. It’s provided a nice opportunity to explore and test ideas (mine and others), and my views have evolved over time. One idea I’ve found increasingly skepticism for is computationalism, but it depends on which of two flavors of it we mean.
I find one flavor fascinating, but can see the other as only metaphor.
I’ve come to realize that, when it comes to the Many Worlds Interpretation (MWI) of quantum physics, there is at least one aspect of it that’s poorly understood. Since it’s an aspect that even proponents of MWI recognize as an issue, I thought I’d take a stab at explaining it. (If nothing else, I’ll have a long reply I can link to in the future.)
The issue in question involves what MWI does to probability. Essentially, our view of rare events — improbable events — is that they happen rarely, as we’d expect. Flip a fair coin 100 times; we expect to get heads roughly 50% of the time.
But under MWI, someone always gets 100 heads in a row.
Last week, when I posted about the Mathematical Universe Hypothesis (MUH), I noted that it has the same problem as the Block Universe Hypothesis (BUH): It needs to account for its apparent out-of-the-box complexity. In his book, Tegmark raises the issue, but doesn’t put it to bed.
He invokes the notion of Kolmogorov complexity, which, in a very general sense, is like comparing things based on the size of their ZIP file. It’s essentially a measure of the size of information content. Unfortunately, his examples raised my eyebrows a little.
Today I thought I’d explore why. (Turns out I’m glad I did.)
I finally finished Our Mathematical Universe (2014) by Max Tegmark. It took me a while — only two days left on the 21-day library loan. I often had to put it down to clear my mind and give my neck a rest. (The book invoked a lot of head-shaking. It gave me a very bad case of the Yeah, buts.)
I debated whether to post this for Sci-Fi Saturday or for more metaphysical Sabbath Sunday. I tend to think either would be appropriate to the subject matter. Given how many science fiction references Tegmark makes in the book, I’m going with Saturday.
The hard part is going to be keeping this post a reasonable length.
At the beginning of the week, I mentioned I’m reading Our Mathematical Universe (2014), by Max Tegmark. His stance on inflation, and especially on eternal inflation, got me really thinking about it. Then all that thinking turned into a post.
It happened again last night. That strong sense of, “Yeah, but…” With this book, that’s happening a lot. I find something slightly, but fundamentally, off about Tegmark’s arguments. There seems an over-willingness to accept wild conclusions. This may all say much more about me than about Tegmark, which in this case is perfect irony.
Because what set me off this time was his chapter about human intuition.
I’m reading Our Mathematical Universe (2014), by Max Tegmark, and I’ll post about the book when I finish. However he got my attention early with the topic of eternal inflation. That got me thinking about how there are some key unanswered questions regarding the Big Bang and inflation of the non-eternal sort.
Inflation certainly does need some explaining. It may be related to dark energy, as both seem to do the same sort of thing (push space apart). The putative physics of inflation is bad enough; eternal inflation is (in my view) fairy tale physics.
For one thing, eternal? Seriously? Infinite something from nothing?