Is the 2nd Law of Thermodynamics Your Favorite Principle?

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Discussion Overview

The discussion revolves around the interpretation and significance of the 2nd Law of Thermodynamics, alongside broader reflections on mathematical theorems and their relationship to the laws of nature. Participants explore the nature of mathematical representation in physics and the philosophical implications of laws and principles.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Meta-discussion

Main Points Raised

  • Some participants suggest that mathematical theorems are merely approximations of natural laws, questioning their accuracy and relevance.
  • Others argue that mathematics serves a different purpose than physics, emphasizing that it does not directly reflect the laws of nature.
  • There is a discussion about the accuracy of constants like the fine structure constant, with participants noting that measurements cannot achieve arbitrary accuracy.
  • One participant expresses a personal preference for evolution and gravity as significant laws of nature, rather than focusing solely on mathematical formulations.
  • Confusion arises regarding the interpretation of the original question, with participants reflecting on how it was phrased and their understanding of it.
  • A later reply humorously claims to see the 2nd Law of Thermodynamics at work in the discussion itself, indicating a playful engagement with the topic.

Areas of Agreement / Disagreement

Participants exhibit disagreement regarding the relationship between mathematics and the laws of nature, with no consensus reached on the interpretation of these concepts. The discussion remains unresolved on several points, particularly around the accuracy of mathematical representations.

Contextual Notes

Participants express varying interpretations of the original question, leading to confusion and differing perspectives on the role of mathematics in physics. The discussion highlights the complexity of defining laws of nature and their mathematical descriptions.

kant
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Principles, math theorem.
 
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It is impossible to make anything foolproof because fools are so ingenious.
 
Aren't maths theorems just approximations of the laws of nature,even constants like the fine structure constant are not 100% accurate.

I'd say the best law of nature is evolution followed by gravity perhaps.:smile:
man.jpg
 
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Schrödinger's Dog said:
Aren't maths theorems just approximations of the laws of nature
Maths does not concern itself with the laws of nature. That is the job of physics.

even constants like the fine structure constant are not 100% accurate.
What exactly do you mean by this? It is a measurement or a description that possesses the property of accuracy. The value of the constant, just like the value of any other measured quantity (that isn't quantized) as determined by measurement, naturally can not be had to an arbitrary accuracy (heck, is it even possible to write down an arbitrary real number in a finite time?).
 
Gokul43201 said:
Maths does not concern itself with the laws of nature. That is the job of physics.

Erm ok, do you not think that was a little bit of a nit pick? I think it's clear what he's referring too, and what I am, I was pointing out that maths is not an exact reflection of the laws of nature, on it's own. In other words?

What exactly do you mean by this? It is a measurement or a description that possesses the property of accuracy. The value of the constant, just like the value of any other measured quantity (that isn't quantized) as determined by measurement, naturally can not be had to an arbitrary accuracy (heck, is it even possible to write down an arbitrary real number in a finite time?).

Exactly what you just said, so why has he said maths theorems? And by maths theorems I presume he's talking about mathematical terms that apply to theory, or nature, thus the ?

I kind of get the feeling that we are both saying the same thing pretty much.

When I think of a law of nature I don't think of

[tex]F_g=G.\frac{m1m2}{r^2}[/tex]

I tend to think of gravity and the discussion of gravity's effects as the law and the maths as the closest representation possible of these effects given condtion x.
 
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I didn't read the question that way. I read it as "what are your favorite laws of nature, principles, and math theorems?" But I still don't understand what you mean by :
I was pointing out that maths is not an exact reflection of the laws of nature

That is exactly the opposite of what I was trying to say; that it does not attempt to be one. I guess it's just not as clear to me as it is to you.
 
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I see what you mean? Very odd way of writing the question, I've not seen someone do that before, never mind.:smile: Obviously my mistake.

Gokul43201 said:
That is exactly the opposite of what I was trying to say; that it does not attempt to be one. I guess it's just not as clear to me as it is to you.

Well considering I misinterpreted the question, I didn't think that was made clear? Anyway doesn't matter.
 
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I've seen lots of people split up a sentence between the thread title and the first part of the OP. Can be quite confusing.
 
a^2+b^2=c^2
 
  • #10
I think we just saw the 2nd Law of Thermodynamics at work in the first 8 posts!:smile:

Go 2nd Law!
 

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