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Category: Proofs

We look at simple yet elegant proofs that show the creativity and beauty of mathematics.

Blogs, Mathematical Reasoning, Proofs

Are those really the same size?

November 30, 2018January 7, 2019 Dr. Justin Albert

We compare the size of the sets of natural numbers, integers, rational numbers and real numbers.

Tagged bijection, cardinality, Math, Mathematics, ProofsLeave a comment
Blogs, Mathematical Reasoning, Proofs

A number bigger than infinity!

November 28, 2018January 7, 2019 Dr. Justin Albert

We show that there is something bigger than infinity.

Tagged Education, infinity, Lecture, Math, Mathematics1 Comment
Blogs, Mathematical Reasoning, Proofs

What are the integer solutions of x4+y4=z4?

November 17, 2018January 7, 2019 Dr. Justin Albert

We show that Fermat's Last Theorem holds for the case n=4.

Tagged Education, Math, Mathematics, ProofsLeave a comment
Blogs, Mathematical Reasoning, Proofs

Fundamental Theorem of Arithmetic

November 13, 2018January 7, 2019 Dr. Justin Albert

We show that every natural number can be factored uniquely into the product of primes.

Tagged Algebra, Education, Math, Mathematics, Proofs, STEM2 Comments
Blogs, Mathematical Reasoning, Proofs

Those are some prime irreducibles

November 7, 2018January 7, 2019 Dr. Justin Albert

We show that the irreducible natural numbers are also prime.

Tagged irreducible, Math, Mathematics, Pretty proofs, Prime2 Comments

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