Low basis theorem — The low basis theorem in computability theory states that every nonempty Pi^0 1 class contains a set of low degree. It was first proved by Carl Jockusch and Robert I. Soare in 1972. References *Soare, R. Recursively enumerable sets and degrees.… … Wikipedia
High (computability) — In computability theory, a Turing degree [ X ] is high if it is computable in 0 prime;, and the Turing jump [ X prime;] is 0 prime; prime;, which is the greatest possible degree in terms of Turing reducibility for the jump of a set which is… … Wikipedia
List of mathematics articles (L) — NOTOC L L (complexity) L BFGS L² cohomology L function L game L notation L system L theory L Analyse des Infiniment Petits pour l Intelligence des Lignes Courbes L Hôpital s rule L(R) La Géométrie Labeled graph Labelled enumeration theorem Lack… … Wikipedia
König's lemma — or König s infinity lemma is a theorem in graph theory due to Dénes Kőnig (1936). It gives a sufficient condition for an infinite graph to have an infinitely long path. The computability aspects of this theorem have been thoroughly investigated… … Wikipedia
Classification of manifolds — In mathematics, specifically geometry and topology, the classification of manifolds is a basic question, about which much is known, and many open questions remain. Contents 1 Main themes 1.1 Overview 1.2 Different categories and additional… … Wikipedia
Turing degree — Post s problem redirects here. For the other Post s problem , see Post s correspondence problem. In computer science and mathematical logic the Turing degree or degree of unsolvability of a set of natural numbers measures the level of algorithmic … Wikipedia
Philosophy of mathematics — The philosophy of mathematics is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of mathematics. The aim of the philosophy of mathematics is to provide an account of the nature and methodology of … Wikipedia
List of fallacies — For specific popular misconceptions, see List of common misconceptions. A fallacy is incorrect argumentation in logic and rhetoric resulting in a lack of validity, or more generally, a lack of soundness. Contents 1 Formal fallacies 1.1… … Wikipedia
Computational complexity theory — is a branch of the theory of computation in theoretical computer science and mathematics that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other. In this context, a… … Wikipedia
Propaganda — This article is about the form of communication. For other uses, see Propaganda (disambiguation). French Military Propaganda postcard showing a caricature of Kaiser Wilhelm II biting the world (c. 1915) … Wikipedia
