Math is said to be a superset of physics

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Discussion Overview

The discussion centers around the relationship between mathematics and physics, specifically questioning whether mathematics can be considered a superset of physics and if geometry, as a subset of mathematics, could similarly be viewed as a superset of physics. The conversation explores definitions, interpretations, and the nature of physical laws in relation to mathematical concepts.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant asserts that mathematics is a superset of physics, questioning if geometry can also be viewed as a superset of physics.
  • Another participant disagrees, arguing that mathematics and physics are separate fields that overlap, particularly in applied mathematics, but are not in a superset-superset relationship.
  • A different viewpoint suggests that physics often relies on specific geometries to interpret physical observables, implying a deep connection between the two fields.
  • There is skepticism about the claim that mathematics is a superset of physics, with one participant questioning the credibility of the original assertion.
  • Several participants reference an individual named Alexander, with varying interpretations of his views on the relationship between mathematics and physics.

Areas of Agreement / Disagreement

Participants express disagreement regarding the characterization of mathematics as a superset of physics. Multiple competing views are presented, with no consensus reached on the relationship between the two fields.

Contextual Notes

The discussion lacks formal definitions of key terms such as "superset" in the context of physics and mathematics, and there are unresolved questions about the nature of physical laws as interpretations of mathematical theorems.

Loren Booda
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Math is said to be a superset of physics. Can geometry then, a subset of mathematics, be formally considered a superset of physics?
 
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Erm... no?

Mathematics isn't a superset of physics. The study of maths is a separate vocation that while closely related to physics and in many ways interlinked, does not bear the relation you ascribe.

The way I see it:

Maths is the set containing Applied Maths and Pure Maths

Physics contains subsets that are also in Applied Maths.

Physics and Maths hence overlap in terms of applied maths, but are both on the same level.
 


Originally posted by Loren Booda
Math is said to be a superset of physics. Can geometry then, a subset of mathematics, be formally considered a superset of physics?

I have never heard of a formal definitions of "a" physics along the line of what we can identify as "a" geometry... Nevertheless I believe that almost always we have understood physics only when we have identified a specific geometry whose renamed entities are now physical observables. That is to say physics is the science/art of renaming geometric entities!

How many physical laws are just physical interpretations of mathematical theorems?
 
Who said "math is a superset of physics"? I would suspect that he knew neither math nor physics well.
 
Alexander?
 
Oh, well, Alexander! Now it makes sense!


(Alexander who??)
 
Alexander the PF2 veteran who claimed maths was the causal event for the universe.

Nah, I wouldn't think he would say that. At most he will just claim that Maths IS Physics.
 

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