Imagine you had a line, and you wanted to understand it. You break out a ruler, and it’s 36-inches, one yard. You mark the inch increments on the line, all 36 of them. But there are gaps between the marks. You get a more detailed ruler that has half-inches, you mark those too, all 72 of them. Still, there are gaps. You get the quarter-inch ruler, there are 144, you invent software to print rulers with finer and finer increments until you have billions of marks on the line. But still there are gaps.

You invent software that makes ever finer measurements and that learns how to make finer measurements, and even learns how to learn how to make ever finer measurements. You churn out some Impressive rulers, able to measure the line in 1/`10^100 increments.

But still there are gaps. For example, between inch 3 and inch 4, there is pi. Your 1/10^100 increments don’t capture it. Neither do they capture the square root of 2, or the square root of the square root of 2. No matter how how much your AI software can improve in its measurement capacity, there will always be gaps. It will always miss the vast majority of the line. In fact, the ratio of the part of the line it can measure to the gaps is effectively zero.

The ruler is AI, which only operates in the realm of 1s and 0s, in the digital, in the mapping of the line. The line itself is the irreducable territory, unfathomably more infinite in its myriad unmappable points.

No matter how powerful the ruler, it will never cross the chasm Into reality.

This is important because technocrats conflate Creation with digital creation, argue we’re in a “simulation” as though some advanced techno-savvy race could “program” our reality. But if fundamentally misunderstands the difference between programs which operate in the abstract, conceptual, digital level and reality which operates in a higher order of infinity.

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I understand your point, but your analogy is off. You can't make a ruler with that small of length increments because the Planck length is the smallest possible length and it is larger than your hypothetical ruler increments. Reality is in fact quantifiable with distinct units. Pi is not a length, nor is a square root, so how based in reality is math? Perhaps math is merely the realm of the imaginary but following rules of noncontradiction. It is a tool for prediction.

A line is not a physical thing, so the imaginary ruler is not either, so the Planck length limit isn’t really relevant.

Pi is absolutely a number on the line, and the imaginary ruler can’t mark it, no matter how fine its units of measurement.

The analogy is between one degree of infinity, the kind you can get by dividing by ever smaller rational numbers and a higher order kind (real numbers) which represent every point on a line.

The ratio of rationals to reals is zero. The ratio of map to territory is zero. AI to Tao is zero.

Pi is absolutely NOT a number on the line. Please don't create new philosophies while defendjng old ones. Someone needs a math review.

Okay, so it's an imaginary line, a geometrical line. Those aren't real things, but you are using one as an example of what reality is. Sure, you can't make an imaginary ruler good enough to measure an imaginary line, but you could make a real ruler good enough to measure a real line.

Yes, it’s an analogy. The line is analogous to reality, the ruler is analogous to a map of reality. The ruler is not the line, it can only map certain points on it.

And I'm suggesting the analogy is bad. A line is continuous. Reality may not be, and in fact there is evidence that it is not.

like all shower thoughts, this is cool, but needs refinement. Just because you're arguing for the right conclusion doesn't mean you're making sense. I once knew a drunk who while plastered still knew enough not to fuck a goat. But the reasoning was bananas.