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

In summary, the conversation revolves around the use of mathematics to describe the laws of nature and its role in physics. While some believe that mathematics is the foundation of logic and must be used to explain the universe, others argue that it is a means to an end and should not be seen as the ultimate explanation. The conversation also touches on the idea that some questions may not have perfect answers and the importance of asking the right questions in order to make progress. Overall, the conversation suggests that mathematics and physics are closely intertwined but should not be seen as interchangeable.

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


  • Total voters
    25
  • Poll closed .
  • #1
chrisina
71
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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  • #2
"why"-questions are usually too difficult to have right answers.
 
  • #3
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
 
  • #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
 
  • #5
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.
 
  • #6
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:
  • #7
"The one who created the universe was a mathematician"

But I really prefer the dual formulation: Physics is divine mathematics.
 
  • #8
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.
 

1. How has mathematics been able to accurately describe the laws of nature?

Mathematics is a universal language that allows scientists to precisely describe and quantify natural phenomena. Through the use of equations and mathematical models, scientists are able to make predictions and test them against real-world observations, leading to a better understanding of the laws that govern nature.

2. Is mathematics the only language that can describe the laws of nature?

While mathematics has been the most successful language in describing the laws of nature, it is not the only one. Other fields such as physics, chemistry, and biology also use different languages to describe and understand the natural world. However, mathematics has proven to be a powerful tool in bridging the gap between different scientific disciplines.

3. Why do some people believe that mathematics is the language of the universe?

Some believe that mathematics is the language of the universe because it is based on fundamental principles and concepts that are consistent and objective. These principles allow for precise and accurate descriptions of natural phenomena, making mathematics a powerful tool for understanding the universe.

4. How has the use of mathematics in science evolved over time?

The use of mathematics in science has evolved over time, from simple counting and measuring to complex equations and models. As our understanding of the laws of nature has grown, so has the complexity and sophistication of mathematical tools used in science. Today, mathematics is an integral part of many scientific fields, including physics, chemistry, biology, and astronomy.

5. Are there any limitations to using mathematics to describe the laws of nature?

While mathematics has been incredibly successful in describing the laws of nature, it does have its limitations. For example, some phenomena, such as human behavior or complex biological systems, may be difficult to fully describe using mathematical equations. Additionally, the accuracy of mathematical models depends on the accuracy of the data and assumptions used, which can sometimes lead to errors in predictions. Therefore, while mathematics is a powerful tool, it is important to also consider other factors and disciplines in understanding the laws of nature.

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