Theory based on divisions of a whole?

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SUMMARY

The discussion centers on the concept of Set Theory as the foundational mathematics for other disciplines, questioning whether a theory exists that addresses the division of a whole. Participants explore the potential utility of such a theory, particularly in large-scale calculations involving astronomical entities like solar systems and galaxies. The conversation highlights the implications for numerical types and values that could arise from such a theoretical framework. Overall, while Set Theory encompasses subsets and groupings, the existence and feasibility of a division-based theory remain uncertain.

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  • Understanding of Set Theory principles
  • Familiarity with mathematical concepts of division and whole numbers
  • Basic knowledge of astronomical calculations
  • Awareness of theoretical mathematics and its applications
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  • Research advanced topics in Set Theory and its applications in mathematics
  • Explore mathematical theories related to division and whole entities
  • Investigate the implications of large-scale calculations in astrophysics
  • Study the relationship between numerical types and theoretical frameworks in mathematics
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This discussion is beneficial for mathematicians, theoretical physicists, and anyone interested in the foundational principles of mathematics and their applications in complex systems.

Riothamus
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I had a brief conversation regarding Set Theory being the fundamental math underlying all others.

I found myself wondering, if Set Theory is the grouping of separate objects, is there a theory regarding divisions of a whole, instead?

I am inclined to think such a theory, even if developed or possible, wouldn't be very useful for day to day applications, but once the scale of calculation gets large enough, like all the space or the relation among solar systems or galaxies, it might prove more elegant.

I also wonder at the implications for the types and values of numbers you would get.

So, does such a theory exist? If not, is it feasible?
 
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I suggest you give some detail about what you mean. Set theory does cover questions about subsets, etc.
 

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