Michele DiodatiProving the Pythagorean TheoremSome algebraic and geometric proofs of the best-known theorem of all timeNov 25, 20212Nov 25, 20212
Michele DiodatiHow to Calculate Square Roots by HandThe long method, to obtain a correct result to any level of accuracy without resorting to estimatesNov 13, 20213Nov 13, 20213
Michele DiodatiRussell’s ParadoxIs the set of all sets that are not elements of themselves an element of itself or not? Russell’s paradox in Russell’s own words and some…Nov 7, 20212Nov 7, 20212
Michele DiodatiEquivalence Relations, Equivalence Classes and PartitionsEquivalence relations are powerful tools for organizing sets of any kind into homogeneous subsetsNov 3, 20211Nov 3, 20211
Michele DiodatiOrdered Pairs, Cartesian Product, Binary RelationsA binary relation R on a set A is a subset of the Cartesian product A×AOct 25, 2021Oct 25, 2021
Michele Diodatiℒ, the Language of Set TheoryA formal language based on a few symbols, through which it is possible to express an infinity of mathematical conceptsOct 21, 2021Oct 21, 2021
Michele DiodatiMagic Squares and How to Construct themHow to create magic squares of odd and even orderOct 18, 20212Oct 18, 20212
Michele DiodatiBasics of SetsThe concepts of set and subset, the principle of extensionality, the empty set, union and intersection of setsOct 12, 2021Oct 12, 2021