The tension between addition and multiplication - the basis for all mathematics?

In summary, the conversation discusses the significance of pi and e in mathematics and how they are connected to the tension between multiplication and addition. The speaker suggests that this conflict is the basis for all mathematical problems and ideas. However, the other participant disagrees and views this idea as mysticism rather than mathematics.
  • #1
tautological
2
0
Throughout mathematics, we see the appearance of pi and e, they are integral to every part of mathematics. could this be because the reason all or at least most mathematical problems arise because of the tension between multiplication and addition (pi and e) itself?. certainly the deepest mathematics comes out of this idea, at the very least. I had an idea not just that many important problems are tied up with this conflict, in primes and so forth, but that *all* mathematical ideas are related to it somehow.
 
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  • #2
I can't imagine why you thin that "multiplication and addition" are reflected in pi and e. In any case, your question (oh, I see you have already been banned) is mysticism, not mathematics.
 

1. What is the tension between addition and multiplication?

The tension between addition and multiplication refers to the fact that while both operations are fundamental to mathematics, they have different properties and can sometimes lead to conflicting results. Addition is commutative, meaning the order of the numbers does not affect the result, while multiplication is not commutative. This can create tension when trying to solve equations involving both addition and multiplication.

2. How are addition and multiplication related?

Addition and multiplication are both basic arithmetic operations and are closely related. Multiplication is essentially repeated addition, and addition is often used to simplify multiplication problems. Additionally, multiplication can be thought of as a shortcut for adding the same number multiple times.

3. Why are addition and multiplication considered the basis for all mathematics?

Addition and multiplication are considered the basis for all mathematics because they are the most fundamental and essential operations in mathematics. They are used in almost every area of math, including algebra, geometry, calculus, and more complex branches of mathematics. Understanding addition and multiplication is crucial for building a strong foundation in math.

4. Can addition and multiplication be used interchangeably?

No, addition and multiplication cannot be used interchangeably. While they are related and can be used together in equations, they have different properties and cannot always be substituted for one another. For example, 2+3 is not the same as 2x3, and switching the operations would result in a different answer.

5. How can understanding the tension between addition and multiplication help in solving mathematical problems?

Understanding the tension between addition and multiplication can help in solving mathematical problems by allowing us to choose the appropriate operation based on the given information. It also helps in identifying potential errors in calculations and finding alternative solutions to equations. Additionally, understanding the relationship between addition and multiplication can help in generalizing mathematical concepts and applying them to more complex problems.

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