Mathematics is distinguished from the sciences by the freedom it enjoys in choosing basic assumptions from which consequences can be deduced by applying the laws of logic. We call the basic ...

Ryan Morgan has gotten used to sharing trade secrets with older and wiser mathematicians. So, the Patapsco High School junior was unfazed yesterday when he explained his findings — widely considered a ...

This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right triangle, the square of the hypotenuse equals the sum of the squares of the ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

I have very fond memories of high school geometry. Memorizing theorems wasn't too hard, and solving proofs was like solving the logic puzzles that I did for fun anyway. But the theorems were scattered ...

Two New Orleans teens joined an exclusive club of mathematicians when they discovered trigonometry proofs for Pythagorean's Theorem. Two teens in New Orleans joined an exclusive club of mathematicians ...

Let us assume what most mathematical readers would take for granted anyway: There are mathematical objects such as numbers and functions and there are objective facts about these objects, such as 3 < ...