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Blogs about: Propositional Calculus

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Conjunction3 comments

Biswajit wrote 2 months ago: Any statement can be either true or false depending upon the logic inherent in the statement. We use … more →

Tags: Computing, mathematics, Propositional Calculus, Mathematics for Computing, Conjunction

AIMA Book

aiguy wrote 11 months ago: I was reading Chapters 6 and 7 of the AIMA book (Russell, Norvig 1995). They describe propositional … more →

Tags: Artificial Intelligence, predicate calculus, logic, Games and Puzzles, Wumpus world, artificial intellegence, Propositional Logic

ETCS: Internalizing the logic4 comments

Todd Trimble wrote 1 year ago: This post is a continuation of the discussion of “the elementary theory of the category of set … more →

Tags: Exposition, Category Theory, Philosophy & Logic, Set Theory, Topos Theory, internal logic

Free Boolean algebras, truth tables, disjunctive normal form, and completeness theorems2 comments

Todd Trimble wrote 1 year ago: Last time in this series on Stone duality, we observed a perfect duality between finite Boolean alge … more →

Tags: Boolean Algebra, completeness theorem, disjunctive normal form, Truth Tables

Boolean algebras, Galois connections, and double negation4 comments

Todd Trimble wrote 1 year ago: In this installment, I will introduce the concept of Boolean algebra, one of the main stars of this … more →

Tags: Posets and Lattices, Boolean Algebra, heyting algebra, double negation, Galois connection, adjoint pair

Truth-valued matrix algebra and adjoints11 comments

Todd Trimble wrote 1 year ago: In our last installment in this series on Stone duality, we introduced the notion of Heyting algebra … more →

Tags: Category Theory, Posets and Lattices, adjoints, matrix algebra, Propositional Logic

Distributivity, Topology, and Heyting algebras8 comments

Todd Trimble wrote 1 year ago: Last time in this series on Stone duality, we introduced the concept of lattice and various cousins … more →

Tags: Elementary Math Problem Solving, Naive Set Theory, Posets and Lattices, Some theorems, distributive lattice, heyting algebra, intuitionistic logic, Topology

Lattices and Duality25 comments

Todd Trimble wrote 1 year ago: Previously, on “Stone duality”, we introduced the notions of poset and meet-semilattice … more →

Tags: Posets and Lattices, principle of duality, Lattices, Joins, inf-lattices, sup-lattices

On rules and relations6 comments

Max wrote 1 year ago: Having designed and built a number of rules engines over the years, I’ve come to realize that … more →

Tags: Software Architecture, Modeling, Rules, business rules, Relational Database, disjunctive normal form, WFF, DNF, conjunctive normal form

Propositional Calculus - the basics

Vishal Lama wrote 1 year ago: Let’s see if we can build this from ground up. We first define a statement (or sometimes, a pr … more →

Tags: Math Topics, Conjunction, disjunction, logical equivalence, material implication, Negation, Propositional Logic, Propositions, Statements

Propositional Calculus

Vishal Lama wrote 1 year ago: I wish to use this part of the blog to quickly go through the basic elements of propositional calcul … more →

Tags: predicate calculus, relational algebra


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