mathematical logic, the Paris–Harrington theorem states that a certain claim in Ramsey theory, namely the strengthened finite Ramsey theorem, which is expressible...

incompleteness theorem and Gerhard Gentzen's 1943 direct proof of the unprovability of ε0-induction in Peano arithmetic. The Paris–Harrington theorem gave another...

Kruskal's tree theorem can be expressed and proven using second-order arithmetic. However, like Goodstein's theorem or the Paris–Harrington theorem, some special...

sometimes even greater than any primitive recursive function; see the Paris–Harrington theorem for an example. Graham's number, one of the largest numbers ever...

theorem, due to Kanamori & McAloon (1987), gives an example of an incompleteness in Peano arithmetic, similar to that of the Paris–Harrington theorem...

with an emphasis on rationality and common sense principles. The Paris-Harrington theorem is a natural Ramsey-theoretic statement which is expressible in...

Ramsey cardinal Paris–Harrington theorem Sim (pencil game) Infinite Ramsey theory Van der Waerden number Ramsey game Erdős–Rado theorem Some authors restrict...

statements (for example, the Paris–Harrington theorem) provable using second order but not first-order methods, but such theorems are rare to date. Erdős and...

Professor Leo Harrington is now a Philosopher.[citation needed] His notable results include proving the Paris–Harrington theorem along with Jeff Paris, showing...

proposed and studied by Harvey Friedman. Goodstein's theorem Paris–Harrington theorem Kanamori–McAloon theorem [FOM] 274:Subcubic Graph Numbers [FOM] 279:Subcubic...

theorem (geometry) Paris–Harrington theorem (mathematical logic) Parovicenko's theorem (topology) Parallel axis theorem (physics) Parseval's theorem (Fourier...

Foundations of mathematics Frege's theorem Goodstein's theorem Neo-logicism Non-standard model of arithmetic Paris–Harrington theorem Presburger arithmetic Skolem...

total recursive function that is not primitive recursive. The Paris–Harrington theorem involves a total recursive function that is not primitive recursive...

Arithmetic. In 1977, Paris and Harrington proved that the Paris–Harrington principle, a version of the infinite Ramsey theorem, is undecidable in (first-order)...

and the study of independence results in arithmetic such as the Paris–Harrington theorem. This was also a period, particularly in the 1950s and afterwards...

expected, in the case of topology, coding is not without problems. Paris–Harrington theorem Presburger arithmetic True arithmetic Hilbert, D.; Bernays, P....

standard set theory. In 1977, Paris and Harrington proved that the Paris-Harrington principle, a version of the Ramsey theorem, is undecidable in the axiomatization...

logic; see Paris–Harrington theorem and Goodstein's theorem. The same applies to definability; see for example Tarski's undefinability theorem. In order to...

Motorola MC68020 and Berkeley C String Library (Yuan Yu) (1994) Paris–Harrington Ramsey theorem (Kenneth Kunen) (1996) The equivalence of NFSA and DFSA (Debora...

first classification theorem for persistent homology appeared in 1994 via Barannikov's canonical forms. The classification theorem interpreting persistence...

d'Alembert's equation, and the fundamental theorem of algebra is named after d'Alembert in French. Born in Paris, d'Alembert was the natural son of the writer...

L'Hospital's Analyse des Infiniment Petits (Paris, 1696). Starting with De motu corporum in gyrum, see also (Latin) Theorem 1 Archived 12 May 2016 at the Wayback...

serious work of mathematics — to Père Mersenne in Paris; it is known still today as Pascal's theorem. It states that if a hexagon is inscribed in a circle...

History Faculty at the University of Oxford 25 October 2012 Fermat's Last Theorem Marcus du Sautoy, Professor of Mathematics & Simonyi Professor for the...

gold medal in boxing in the 60 kg lightweight. More recently, Kellie Harrington won a gold medal at the 2020 Tokyo Olympics. Horse racing and greyhound...

Descartes' theorem (4 tangent circles) Descartes' theorem on total angular defect Folium of Descartes List of things named after René Descartes Paris Descartes...

argument Incomplete comparison Incompleteness Incompleteness theorem Incompleteness theorems Inconnu Independent Art Group Inconsistent triad Incontinence...

feeling and knowledge that this Life of ours is true: not a Scepticism, Theorem, or Persiflage, but a Fact, an awful Reality. Nature had made that revelation...

Hortense Hatchet for the Honeymoon (1970, directed by Mario Bava) - Mildred Harrington Fermate il mondo... voglio scendere! (1970) A Man Called Sledge (1970...

publication and subject of his master's thesis was his 1964 proof of a theorem solving the Jacobson radical for row-finite matrices, which was originally...