Square root of R^3

User Rating:  / 2

Asking cute questions is great.


Answering such questions is a nice challenge.


An article by Mark Dominus about this topics is here ( EN ).


Read more: Square root of R^3

Cardinality theorem *****

User Rating:  / 2


Two lines proof of the Cantor-Schroeder-Bernstein theorem ( EN ).



Read more: Cardinality theorem *****

Swindle? *****

User Rating:  / 1

YES, you can swindle Wink and prove theorems similar to this:


Swindle can be correctly used in many proofs, e.g.

Irreducibility of the sphere

Cantor–Bernstein–Schröder theorem ( Wiki EN )


Can you add the next one to the list?

Read more: Swindle? *****

On rare integers between 0 and 1 *****

User Rating:  / 1




Sexy & clean proof that π is irrational on Dror Bar-Natan pages in 5 full stopped sentences written on a CD envelope ( EN ). The shortest & simplest one?







A Streamlined Proof of an Essential Calculus Fact *****

User Rating:  / 5

GREAT NEW PROOF of the Fundamental Theorem of Calculus

Stephen M. Walk: A Streamlined Proof of an Essential Calculus Fact, The American Mathematical Monthly, Vol. 117, No. 9 (November 2010), pp. 832-833.

(JSTOR abstract EN, idea online ENCZ)



Read more: A Streamlined Proof of an...

Formalized definitions and proofs **

User Rating:  / 0

Mizar system for such style writing math ( wiki EN, home EN ).

On formal discontinued project QED ( wiki EN ).

Archive of Formal Proofs **

User Rating:  / 0

An alive collection of formal proof materials ( EN ), organized in a way of a scientific journal.

Behold Proof of the Pythagorean Theorem *****

User Rating:  / 0

Bhaskara's (1114 - ca. 1185) Dissection Proof of the Pythagorean Theorem ( animation EN ).

Infinitude of primes using basic topology *****

User Rating:  / 0

Fürstenberg's proof of the infinitude of primes using basic topology ( wiki EN ).

Proofs in Wiki ***

User Rating:  / 0


A categorized list of proofs online ( wiki EN ).