Recent submissions

Comment · 7 days ago
A useful analogy might be understanding quantum mechanics versus understanding a computer. In the early days of computing, an engineer might plausibly have known every component in a computer, understood how these components worked, and understood why each one was there. As computers got more complicated, no longer could anyone understand the entire system on that level. But still, as an individual engineer, you can understand the system at a high-level, and for each lower-level component, you can have an approximate idea of why it's there, what it does, and how to learn it in more detail if you ever have to. Any "why" question that you might have about it has a straightforward answer that can be stated in a few sentences.

With quantum mechanics, there's a lot that you have to accept when you learn the subject without understanding why. Why complex numbers? Why infinite-dimensional Hilbert spaces? Why non-commutative algebra? You can kind-of, with great effort, make arguments that all of these are at least reasonable. But nobody really understands "why" at a level beyond "because the theory works".

Comment · 20 days ago
Vote with your wallet. I've only experienced two instances where systems wouldn't accept my custom email domain. One was a bank. I proceeded to close the account.
Comment · 20 days ago
The citations provided by the free version of Gemini are comically bad. They almost never contain information which directly supports the relevant claim, and more often than not they're completely irrelevant.
Comment · 23 days ago
The obvious difference between then and now is intensive agriculture. In modern times, we don't need as much farmland per capita. I hate seeing productive farmland developed into mcmansions as much as anyone. But, the market values the mcmansions more.
Comment · 27 days ago
MXRoute's lifetime plans (which they usually offer around black Friday) are a great option if you can get one. I paid $99 for mine five years ago. The service has only improved since then.
Comment · 1 month ago
It's usually pretty obvious when a word means something different than what you think it means, because the verse won't make any sense. And stopping for a moment to resolve that confusion is always a good learning experience. You either learn something about English, about Hebrew/Greek, or about the text's cultural context or how it's been historically understood.
Comment · 1 month ago
I personally like the term "biblical English" as a description of the KJV's dialect. It's not really representative of early modern English, as it often uses non-standard grammar to preserve the word order and cadence of the source texts.
Comment · 1 month ago

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