Blogs about: Posets And Lattices

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Boolean algebras, Boolean rings, and baby Stone duality4 comments

Todd Trimble wrote 2 months ago: In this post, I’d like to move from abstract, general considerations of Boolean algebras to mo … more »

Tags: Abstract Algebra, Boolean Algebra, Category Theory, Boolean ring, Filter, stone duality

Boolean algebras, Galois connections, and double negation1 comment

Todd Trimble wrote 2 months ago: In this installment, I will introduce the concept of Boolean algebra, one of the main stars of this … more »

Tags: Propositional Calculus, Boolean Algebra, heyting algebra, double negation, Galois connection, adjoint pair

Truth-valued matrix algebra and adjoints10 comments

Todd Trimble wrote 2 months ago: In our last installment in this series on Stone duality, we introduced the notion of Heyting algebra … more »

Tags: Category Theory, Propositional Calculus, adjoints, matrix algebra, Propositional Logic

Distributivity, Topology, and Heyting algebras7 comments

Todd Trimble wrote 2 months 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, Propositional Calculus, Some theorems, distributive lattice, heyting algebra, intuitionistic logic, Topology

Lattices and Duality16 comments

Todd Trimble wrote 3 months ago: Previously, on “Stone duality”, we introduced the notions of poset and meet-semilattice … more »

Tags: Propositional Calculus, principle of duality, Lattices, Joins, inf-lattices, sup-lattices

Toward Stone Duality: Posets and Meets16 comments

Todd Trimble wrote 3 months ago: My name is Todd Trimble. As regular readers of this blog may have noticed by now, I’ve recent … more »

Tags: Exposition, stone duality, Posets, Meets, yoneda principle, Lattices


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