Comment by estimator7292 | Hacker News Reader

Comment by estimator7292 | Hacker News Reader

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There is very little about the universe that is axiomatically true and correct in and of itself. Math is about the only thing I can think of, and really that's in a different category. Everything we know as a species is really just consensus. "Truth" is what we agree it is because the universe does not offer actual truth. What we know is the best guess that our greatest minds can agree on. What we consider to be truth changes far more often than it stands to scrutiny.

There are only a very few people from the entire history of our species who have run particle collider experiments and verified first hand what's inside an atom. What they agree on is truth for everyone because almost nobody has the means to test it themselves. And then of course this truth is modified and updated as we find more data. Then old conclusions are rejected and the entire baseline of truth changes.

We can be sure of things to however many decimal places as you'd like, but reality itself is fundamentally built on probabilities and error bars. What we think we know is built on probabilities on probabilities.

> There is very little about the universe that is axiomatically true and correct in and of itself. Math is about the only thing I can think of, and really that's in a different category.

My thought is that math (broadly speaking) possesses correctness because of axiomatic decisions. The consequences of those decisions lead us to practice math that can't express everything that we can imagine (e.g., see axiom of choice/ZFC).

The math humanity practices today is a result of tuning the axioms to be: self-consistent, and, useful for explaining phenomena that we can observe. I don't believe this math is correct in a universal or absolute sense, just locally.

It seems like there is a universal sense in which statements like 1+1=2" or "7 is a prime number" are true, no?

I disagree, it is not universal. 1+1=2 is just a specific system of notation with consistency. There was a time when no human conceptualized this idea of 1+1=2, they did not have numerals or know about addition. Before you get to 1+1=2 you need a bunch of prior concepts that are themselves contingent on culture and history.

> 1+1=2 is just a specific system of notation with consistency.

So, that that is system of notation which has consistency is itself a truth, isn’t it?

If by "universal" we mean median adult human which are apt and willing to engage in basic mathematical thoughts, yes. That’s certainly already a very greatly reduced set of entities compared to everything in existence, though.

Mathematics does its best, but it's still a language, and fallible. It's trying to explain things, and the concepts like "prime number" and "one" can be shaken by later improvements to understanding.

I think you are confusing what we believe to be the truth at a point in time and how the physical world is.

Either atoms exist or they dont. Our idea of atom has evolved over time, but the thing that we call "atom" has always been there (at least on the time scale of human civilization).

The probabilistic nature of quantum objects isn't really a problem either. Electrons may be particles, waves, both or neither, but the "thing" is a real phenomenon of this world regardless of how we talk about it.

Similarly, the truth value of alien existence is well defined: either they exist at this time or they do not. We don't know it for sure, but this doesn't change whether they are actually there or not.

> Either atoms exist or they dont

Perfect example, since they only exist as a concept to describe an observation. With higher precision of observation, it became “the new truth“ that most of the time even on the observation level do not actually exist in terms of matter; they “flicker“ fast enough to appear existing at all times. When you look often enough or at the wrong times, there is nothing to observe.

> When you look often enough or at the wrong times, there is nothing to observe.

Is this because atoms don't exist, or because we are looking in the wrong way due to partial (mis)understanding?

The "new truth" that you talk about is just a different understanding of the concept of atom, but the actual thing that we call atom and that exists in the real world (whether as matter or in some other form) has not changed.

Exactly the right question. If atoms are forever retained as a locally true-in-its-domain and at-its-level-of-description phenomena in every future theory, I think they count as real in any important sense. Even classical mechanics is true in the sense of strongly accurate and predictive at its scales of description, as an approximation of something more precisely described by QM.

One thing that gets me excited is that there's a tantalizing possibility that the 21st century might have an Einstein-level breakthrough that treats holography and some principle of informational consistency as more fundamental than QM, which is amazing, and would change everything.

But even in that hypothetical future paradigm, an "atom" would still be something true and meaningful against that backdrop, and our measurements or knowledge claims about it would still be meaningful. And our progress toward knowledge of the atom was still real progress.

It's legitimate to treat our knowledge as limited, subject to revision, or approximating. But treating that grain of truth like it implies no knowledge or progress is in hand is an abuse of the concept.

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