Why is mathematics so ridiculously effective?

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SUMMARY

The discussion centers on the effectiveness of mathematics in understanding the physical universe, highlighting historical perspectives from Aristotle to modern physicists like Richard Feynman and Albert Einstein. It emphasizes that while mathematics has proven essential in formulating physical theories, such as the General Theory of Relativity and the concept of anti-matter by Paul Dirac, the underlying reasons for this effectiveness remain elusive. Participants debate whether the universe inherently follows mathematical laws or if these laws are human constructs based on observations. The conversation also touches on the limitations of current mathematical models in fully describing phenomena like quantum mechanics and relativity.

PREREQUISITES
  • Understanding of Newtonian mechanics and calculus
  • Familiarity with the General Theory of Relativity
  • Knowledge of Gödel's incompleteness theorems
  • Basic concepts of quantum mechanics and anti-matter
NEXT STEPS
  • Explore the implications of Gödel's incompleteness theorems in physics
  • Research the mathematical foundations of quantum mechanics
  • Study the historical development of mathematical methods in physics
  • Investigate current theories attempting to unify quantum mechanics and general relativity
USEFUL FOR

Physicists, mathematicians, philosophy students, and anyone interested in the foundational questions of how mathematics relates to the physical universe.

  • #31
selfAdjoint said:
This is just deliberate mistification, spinning words without meaning.

This is just wrong. Science is not arbitrary; its theories have to work out in practice. Yes they may be falsified and replaced by better theories, but that is not arbitrary.

I agree somewhat with you, when you reach the edge of knowledge it is hard to express thoughts.

If you look at science and the laws of physics from a far enough point of view, they are just quirk assignments, they have no intrinsic necessity. This does not mean they do not work or that they are incorrect, yes they work and are correct especially for us humans as they pertain to our subjective experience, our sense organs, the way our mind is hardwired, the way we carve out our knowledge by following paths through pain/pleasure measurements, etc.

But seen for what they are, the laws of physics are just quirks, they could have been anything else, they could be anything else and even a complete lawless universe could be. They are equivalent, they are like paintings, arbitrary designs. If a god assigns miracles magically, it would be completely equivalent to a sequence of causes and effects, magical assignments make just as much sense as physical laws and mathematical laws. They are bizarre quirks.
 
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  • #32
What utter nonsense this has degenerated into.
 
  • #33
matt grime said:
What utter nonsense this has degenerated into.

Oh I see, that's very scary isn't it?
 
  • #34
kmarinas86 said:
Oh I see, that's very scary isn't it?

Not scary, silly and boring. Philosophy does not mean a teen-age bull session.
 

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