Mathematics Quote by Matt Parker
““Despite their ubiquity on the number line, transcendentals are surprisingly hard to pin down. It took until 1873 to prove that e was transcendental, making it the first number we knew for definite was. The poster-child of maths, pi, didn't join the transcendental fold until 1882. Even today, we know that at least one of e + pi and e × pi is transcendental, but we have no idea which. On David Hilbert's 1900 list of important maths problems to solve, one of them involved checking if e^pi is transcendental, and since 1934 we have known that it is. However, e^e, pi^pi, and pi^e are still open problems. Transcendentals are really hard to find in the wild.””
About This Quote
The quote explains that transcendental numbers are rare and difficult to identify, noting several famous examples and unresolved problems.
In simple terms: Transcendental numbers are hard to find.
Key Takeaway
Study rare mathematical constants.
Themes
math
transcendence
unsolved problems
Mood
curious
intellectual
Type
educational
analytical
When to use this quote
- academic study
- advanced math courses
Key Concepts
number theory
research methodology
Questions to Reflect On
- Why are some numbers transcendental?
- What does this mean for mathematics?
A Different Perspective
Complex proofs limit broader understanding.
![“Geometry, which should only obey Physics, when united with it sometimes commands it. If it happens that the question which we wish to examine is too complicated for all the elements to be able to enter into the analytical comparison we wish to make, we separate the more inconvenient [elements], we…” quote by Jean le Rond d'Alembert](https://sms4smile.com/quotes/img-quotes/0d9/jean-le-rond-d-alembert-26487_able_geometry-which-should-only-obey-physics_6945.jpg)
