Why has mathematics worked so far to describe the laws of nature ?

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Discussion Overview

The discussion revolves around the question of why mathematics has been effective in describing the laws of nature. Participants explore the philosophical implications of this relationship, the nature of questions and answers, and the role of logic in formulating laws. The scope includes conceptual reflections, philosophical inquiries, and the interplay between mathematics and physics.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested
  • Meta-discussion

Main Points Raised

  • Some participants suggest that "why"-questions are inherently difficult and may not have definitive answers.
  • One participant proposes an "uncertainty relation" between questions and answers, suggesting that non-trivial questions are often the hardest to answer.
  • Another viewpoint emphasizes that laws must be based on logic, asserting that mathematics is a branch of logic that underpins the laws of nature.
  • A participant reflects on the origins of mathematics, linking its development to communication needs and suggesting that pure mathematics has artistic qualities.
  • There is a contention that mathematics serves as a tool for expressing thoughts and ideas in physics, rather than being an end in itself.
  • One participant expresses skepticism about the effectiveness of mathematics in fully describing the laws of nature, arguing that ongoing physics research indicates that our understanding is still incomplete.
  • Another participant challenges the phrase "law of nature," indicating a preference for deeper explanations rather than accepting them as given.

Areas of Agreement / Disagreement

Participants express a range of views, with no clear consensus on the effectiveness of mathematics in describing the laws of nature. Some see it as crucial, while others argue that it has not yet fully succeeded. The discussion remains unresolved regarding the philosophical implications of "why" questions and the nature of laws.

Contextual Notes

Participants acknowledge the complexity of the questions posed and the limitations of current understanding in physics. There is an indication that definitions and interpretations of terms like "law of nature" may vary among participants.

Why has mathematics worked so far to describe the laws of nature ?


  • Total voters
    25
  • Poll closed .
chrisina
Messages
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0
I think this is a recurring theme in many other threads, but haven't seen a poll.
If we can get a large enough number of participants, would suggest to publish the results.
 
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"why"-questions are usually too difficult to have right answers.
 
Point taken jostpuur, that's why I left option 4 (None of the above), so for those who :

-don't know
-believe it is too fiicult too answer
-think the question makes no sense
-think there is another explanation or that the other 3 options are simply too reductive

please vote 4
 
I wonder would nature would do in case of (4)? It seems to be a matter of fact that those questions that have perfect answers are very rare in the first place. So unless we can handle imperfect questions, we would be crippled.

I sometimes wonder if there is an "uncertainty relation" between questions and answers. Some questions, that have close to perfect answers, are sometimes trivial. But the really non-trivial questions, that you really want answered, tend to often be shown the most difficult to answer. Maybe we are simply unlikely to know the question and the answer at the same time? Why would anyone bother posing a question to which the answer is obvious? Any why would anyone pose a question that seems impossible to answer? The interesting questions, that can be constructively made progress on, seems to be in the middle?

Anyone else reflected over this?

/Fredrik
 
By looking at nature, mankind developed also other stuff, art for example. Nevertheless, art have not turned up to describe the laws of nature.

A law must be based on logic, otherwise it is not a law. Therefore, the laws of anything (including nature) must be based on logic. Mathematics is just a branch of logic.
 
Demystifier said:
By looking at nature, mankind developed also other stuff, art for example. Nevertheless, art have not turned up to describe the laws of nature.

A law must be based on logic, otherwise it is not a law. Therefore, the laws of anything (including nature) must be based on logic. Mathematics is just a branch of logic.

yes-- (aren't logical people some of the most enjoyable to talk to?)---

Math was developed (from what I remember) from a need to communicate with others (basically business at its origin), and was then used to 'explain' "other things",e.g., the world (and beyond) and what goes on it.

'Pure math' , however, to me, has its own properties---and is more like art (an 'Art') in its own right.

I think eliminating/'not answering directly' a 'Why' question (by saying its a philosophical issue) is a mistake and a cop-out, just because the word 'why' is used; for, its just as useful, 'logical', and necessary in a physics discussion as a 'how', 'what', or whatever inquiry--and could/can be easily re-phrased as one or more of the others.

Math (expressions)--(in physics here), to me, is a function to express a mental and/or verbal image of a thought, to which, has a more common ground in the ability to communicate the abstract thought, and can be applied, in some way, to explain the initial thought.


So, which came first, the chicken or the egg? (the egg, of course--without a doubt) ----and, that the abstract thought is first in my book.
 
Last edited:
"The one who created the universe was a mathematician"

But I really prefer the dual formulation: Physics is divine mathematics.
 
I agree with that, rewebster. Mathematics is vital, crucial, but it's a means to an end. It has to be the servant of our logic and thought and our physics. Not, as it sometimes seems, the master.

You know, looking at that poll, I don't think mathematics has described the laws of nature. If it had, we wouldn't still be doing physics. We do physics because we want to know how the universe works, and we want to know how those laws work. But as yet we don't know. So in a way, those two little words "so far" actually mean "has not".

Can I add that I don't like to hear the phrase "law of nature". If I say How does that work? people tend to say It's a law of nature. Then when I press for more, they tend to say It just is.

So that's a None of the above for me.
 

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