incompleteness
111Penrose-Hawking singularity theorems — The Penrose Hawking singularity theorems are a set of results in general relativity which attempt to answer the question of whether gravity is necessarily singular. These theorems answer this question affirmatively for matter satisfying… …
112John Lucas (philosopher) — John Randolph Lucas FBA (born 18 June, 1929) is a British philosopher. Overview As an undergraduate at Balliol College, Oxford, 1947 1950, Lucas studied first maths, then Greats (Philosophy and Ancient History), obtaining his MA in Philosophy in… …
113Transitional fossil — The London specimen of Archaeopteryx, discovered only two years after the publication of On the Origin of Species Missing link redirects here. For other uses, see Missing Link. A transitional fossil is any fossilized remains of a lifeform that… …
114Recursive set — In computability theory, a set of natural numbers is called recursive, computable or decidable if there is an algorithm which terminates after a finite amount of time and correctly decides whether or not a given number belongs to the set. A more… …
115Second-order logic — In logic and mathematics second order logic is an extension of first order logic, which itself is an extension of propositional logic.[1] Second order logic is in turn extended by higher order logic and type theory. First order logic uses only… …
116Löwenheim–Skolem theorem — In mathematical logic, the Löwenheim–Skolem theorem, named for Leopold Löwenheim and Thoralf Skolem, states that if a countable first order theory has an infinite model, then for every infinite cardinal number κ it has a model of size κ. The… …
117List of mathematical logic topics — Clicking on related changes shows a list of most recent edits of articles to which this page links. This page links to itself in order that recent changes to this page will also be included in related changes. This is a list of mathematical logic …
118Diagonal lemma — In mathematical logic, the diagonal lemma or fixed point theorem establishes the existence of self referential sentences in certain formal theories of the natural numbers specifically those theories that are strong enough to represent all… …
119Logicism — is one of the schools of thought in the philosophy of mathematics, putting forth the theory that mathematics is an extension of logic and therefore some or all mathematics is reducible to logic.[1] Bertrand Russell and Alfred North Whitehead… …
120Paraconsistent logic — A paraconsistent logic is a logical system that attempts to deal with contradictions in a discriminating way. Alternatively, paraconsistent logic is the subfield of logic that is concerned with studying and developing paraconsistent (or… …
