NUmber theory image

[matqkks]

Are there any good images that can be used as a hook for an elementary number theory course?

[Guest]

FYI: Try a google search: 'Pics of number theory'

https://www.google.com/search?sa=X&rlz=1C1CHBF_enUS853US853&q=pics+of+number+theory&tbm=isch&source=univ&ved=2ahUKEwijiaWYubDmAhWbB80KHVz6CmIQsAR6BAgKEAE&biw=1366&bih=598#imgrc=k03ueI--fniN8M:

[Math Tutor]

That image is incorrect.
Here is a correct one
https://www.math10.com/en/algebra/numbers.html

[Guest]

That image is incorrect.
Here is a correct one
https://www.math10.com/en/algebra/numbers.html

Key Idea: Set size means set abundance for the sake of simplicity (layman's terms) ignoring rigorous math (countable and uncountable sets, dense, etc.)

Natural numbers are less abundant than the integers; integers are less abundant than the rational numbers; rational numbers are less abundant than the algebraic numbers, and finally, algebraic numbers are less abundant than the transcendental numbers. Therefore, we can see the above image as a hierarchy of set abundance or set size from the smallest set, the set of all natural numbers, to the largest set, the set of all transcendental numbers.

Thus, the image above is good!

[Math Tutor]

Rational numbers are not a subset of irrational because of that that image is wrong.

[Guest]

Rational numbers are not a subset of irrational because of that that image is wrong.

You do not understand... We are talking about relative set sizes and not subsets... And the image is good!