Is all Math nothing more than addition?

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SUMMARY

The discussion centers on the premise that all mathematics may fundamentally reduce to addition and subtraction. Participants debate whether operations like multiplication are merely repetitive addition, while also acknowledging that complex functions, such as the error function, are defined through integrals rather than simple arithmetic. The conversation highlights the nuances of mathematical definitions and the limitations of viewing all math through the lens of basic operations.

PREREQUISITES
  • Understanding of basic arithmetic operations: addition and subtraction
  • Familiarity with multiplication as repeated addition
  • Knowledge of integral calculus and its applications
  • Concept of mathematical functions and their definitions
NEXT STEPS
  • Explore the concept of mathematical functions and their classifications
  • Study integral calculus and its role in defining complex functions
  • Investigate the relationship between addition, multiplication, and other mathematical operations
  • Research the error function and its significance in probability and statistics
USEFUL FOR

Mathematicians, educators, students, and anyone interested in the foundational concepts of mathematics and its operations.

Deicider
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"Nothing more" makes it sound bad.

Do you think that all math is based on addition and subtraction?
For example multiplication is a method for repetitive addition, is all math in a form or another just a more complicated way to use addition/subtraction?
 
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Take the error function. I suppose with a crazy complicated algorithm it's possible to approximate it with addition, but it's definitely not based off of addition. Well, sort of, it's generally defined as an integral. But ... you know what I mean.
 
Whovian said:
Take the error function. I suppose with a crazy complicated algorithm it's possible to approximate it with addition, but it's definitely not based off of addition. Well, sort of, it's generally defined as an integral. But ... you know what I mean.

If i knew what you meant i wouldn't been posting this thread.
 
We discussed this kind of thing many times on this forum. Thread locked.
 

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