The Language of Sets on Ciência Programada https://cienciaprogramada.com/series/the-language-of-sets/ Recent content in The Language of Sets on Ciência Programada Hugo -- gohugo.io en contato[@]cienciaprogramada.com.br (Francisco Bustamante) contato[@]cienciaprogramada.com.br (Francisco Bustamante) © 2026 Francisco Bustamante Tue, 16 Jun 2026 00:00:00 +0000 Sets in Python: set, frozenset, and Operations https://cienciaprogramada.com/2026/06/python-sets/ Tue, 16 Jun 2026 00:00:00 +0000 contato[@]cienciaprogramada.com.br (Francisco Bustamante) https://cienciaprogramada.com/2026/06/python-sets/ Testing whether an element is in a set takes constant time on average, while in a list the time grows with its size. We will see how set theory becomes Python code: set and frozenset, comprehension, membership and inclusion, union, intersection and difference, hashing, and practical applications. Cardinality: Counting the Elements of a Set https://cienciaprogramada.com/2026/06/cardinality/ Thu, 11 Jun 2026 00:00:00 +0000 contato[@]cienciaprogramada.com.br (Francisco Bustamante) https://cienciaprogramada.com/2026/06/cardinality/ Adding the sizes of two sets counts the intersection twice. The Inclusion-Exclusion Principle fixes the count, for two, three, or any number of sets. We will also see infinities of different sizes, derangements, and the Sieve of Eratosthenes. Venn Diagrams and Set Operations https://cienciaprogramada.com/2026/06/venn-diagrams-set-operations/ Tue, 09 Jun 2026 00:00:00 +0000 contato[@]cienciaprogramada.com.br (Francisco Bustamante) https://cienciaprogramada.com/2026/06/venn-diagrams-set-operations/ Union, intersection, difference, and complement are the basic operations on sets, and they show up in SQL as UNION, INTERSECT, and EXCEPT. We see each one in Venn diagrams, along with De Morgan’s laws, distributivity, and the difference between a Venn diagram and an Euler diagram. Sets: What They Are and How to Define Them Precisely https://cienciaprogramada.com/2026/06/sets/ Fri, 05 Jun 2026 00:00:00 +0000 contato[@]cienciaprogramada.com.br (Francisco Bustamante) https://cienciaprogramada.com/2026/06/sets/ The collection of tall people is not a set: there is no criterion that decides, for any person, whether they belong or not. We define set, membership, roster and set-builder descriptions, equality, inclusion, and the power set.