The simplist concept in mathematics

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Discussion Overview

The discussion revolves around identifying the simplest concept in mathematics, with various perspectives on what constitutes simplicity. Participants explore concepts from set theory, logic, basic arithmetic operations, and the nature of mathematical answers.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants argue that the simplest concept could be "set" or "True-False," highlighting the debate between set theorists and logicians.
  • One participant suggests that addition is the simplest concept, as all basic arithmetic functions can be viewed as forms of addition.
  • Another participant mentions multiplying by 0 as a simple function, while a later reply claims that dividing by 0 involves less complexity.
  • There is a discussion about the nature of answers in mathematics, with one participant asserting that there is only one correct answer to a problem, while another counters that some problems, like sqrt(9), can have multiple answers.
  • One participant proposes that the concepts of "1" or "0" represent the simplest ideas, relating to the binary nature of existence.

Areas of Agreement / Disagreement

Participants express differing views on what constitutes the simplest concept in mathematics, with no consensus reached. Some focus on arithmetic operations, while others emphasize foundational concepts from set theory and logic.

Contextual Notes

Participants' interpretations of "simplest concept" vary, leading to discussions that hinge on definitions and the nature of mathematical operations and concepts.

Loren Booda
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What is the simplist concept in mathematics?
 
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One can always get an argument between set theorists and logicians as to whether Set theory is based on logic or logic is based on set theory.

That is why I would say the simplist concept is either "set" or "True-False".
 
Logic/illogic?
 
um id pick addition as the simplest. your 4 basic functions (addition, subtraction, division, and multiplication) are all different forms of adding. subtraction is adding a negative number, multiplicatin is adding a number a certain about of times, and division is the inverse of multiplication. all functions can be done this way so my choice is addition.
 
multiplying by 0
 
Originally posted by brum
multiplying by 0

I would actually say that deviding by Zero involves a lot less working out!
 
i believe he said concept not function, i would agree multiplying by 0 is easiest function, but i like my answer better.
 
Our ability to recognize and associate between opposite concepts,
in my opinion this is the heart of Math language.
 
that there is only 1 correct answer to a given problem.
 
  • #10
unit zero there are not always only 1 answer to a problem. for instance sqrt(9) could be either -3 or 3 couldn't it?
 
  • #11
No! sqrt(9) is always 3. Maybe you're confused with the equation x^2=9, which indeed has solutions x=3 and x=-3.

In answer to the original question: I'd say that 1 (or the n x n Itentity matrix) would be the simplest concept available...
 
Last edited:
  • #12
1 or 0, something or nothing..binary
 

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