Why can we understand physical laws?

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Discussion Overview

The discussion explores the nature of understanding physical laws and the reasons behind their comprehensibility. Participants consider whether these laws must be rooted in logic and the relationship between mathematics and physics. The conversation touches on philosophical implications and personal experiences in grasping complex concepts in physics.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses amazement at humanity's ability to understand the universe's rules and questions if there is a fundamental reason for this comprehensibility.
  • Another participant uses the analogy of building toys to suggest that mathematics serves as a tool to approximate reality, with physicists searching for the right mathematical framework.
  • A later reply emphasizes that physical laws, like gravity, are comprehensible because they have been validated through experimentation, though it questions the idea of these laws being rooted in logic.
  • One participant argues that physical laws can be described using mathematics, which is based on logic, suggesting a foundational relationship between the two.
  • Another participant reflects on their understanding of specific laws in their field, like circuit theory, while expressing confusion about fundamental interactions, such as electron repulsion, highlighting the complexity and ongoing questions in physics.

Areas of Agreement / Disagreement

Participants express a range of views on the relationship between physical laws, mathematics, and logic. There is no consensus on whether physical laws must be rooted in logic, and multiple perspectives on the nature of understanding these laws remain present.

Contextual Notes

Some participants acknowledge the philosophical implications of the discussion, indicating that the topic may extend beyond empirical science into theoretical considerations. There are also expressions of uncertainty regarding foundational concepts in physics.

Halfeatenpizz
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I've always found it pretty amazing that human beings can understand the rules that govern the universe we live in, but is there a fundamental reason as to why they are comprehensible at all? Do they have to be rooted in logic?

If it's just something that is unknown, that's a perfectly acceptable answer. Just always wondered about it.

Also, apologies in advance if this is a naive/stupid question. I'm more of a math guy and don't have a super strong background in physics.
 
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two cents:

I like to think about it in terms of building toys. There are many kinds of building toys from erector sets, to lego and all its imitators. Each can build structures that approximate the things we use today and some are better approximations than others. Math is like the building toys, we can pretty much find the math we need for a theory and we get answers that approximate reality but when we find some major issue that we can't resolve with our math. We might switch to a different math.

Math can be used to describe our universe and untold impossible universes. Physicists are searching for the right combination or best building toy.

:end two cents
 
This might belong in philosophy, but I'm not sure.
 
Halfeatenpizz said:
I've always found it pretty amazing that human beings can understand the rules that govern the universe we live in, but is there a fundamental reason as to why they are comprehensible at all? Do they have to be rooted in logic?

If it's just something that is unknown, that's a perfectly acceptable answer. Just always wondered about it.

Also, apologies in advance if this is a naive/stupid question. I'm more of a math guy and don't have a super strong background in physics.

Halfeatenpizz, Welcome to Physics Forums!

My two cents' worth: Yes, there IS a fundamental reason why the law of gravitation, for example, is comprehensible. When Newton described the laws (rules) that govern gravity scientists had at least two choices. They could have laughed and called him a crackpot, or they could have experimented with real masses, etc. to discover if Newton was right or not. Today we trust he was right, and that is because our experiments always prove that Nature does indeed behave just the way he described it. That is why and how physical laws are comprehensible to us.

I don't have any idea what you mean by physical laws being rooted in logic.
 
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Drakkith said:
This might belong in philosophy, but I'm not sure.

Yeah, I wasn't sure either. I was just mostly wondering if there's some commonly accepted reason for this.
 
Bobbywhy said:
I don't have any idea what you mean by physical laws being rooted in logic.

Sorry, I wasn't trying to be cryptic or anything. Physical laws can be described using math. Logic, in the mathematical sense, is more or less the foundations math sits on. If physics is based on mathematics and mathematics is based on logic, then physics is ultimately based on logic. It has its roots there.
 
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We can understand them because we invented them. So as an electrical engineer I can understand circuit theory and other simplistic "laws". However I have not a clue how to explain something as apparently simple as how two electrons repel each other! It's all very well saying a virtual photon passes between them, but what the hell does that REALLY mean? Why does this virtual photon suddenly appear? How does one electron "know" the other is approaching? There are endless questions I can ask and each time I think I have an answer to one another two appear.
These are unsettling thoughts for someone who makes a living off what little knowledge he has about his chosen field!
 

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