Provable
71Paris–Harrington theorem — In mathematical logic, the Paris–Harrington theorem states that a certain combinatorial principle in Ramsey theory is true, but not provable in Peano arithmetic. This was the first natural example of a true statement about the integers that could …
72Metatheorem — In logic, a metatheorem is a statement about a formal system proven in a metalanguage. Unlike theorems proved within a given formal system, a metatheorem is proved within a metatheory, and may reference concepts that are present in the metatheory …
73Monoidal t-norm logic — Monoidal t norm based logic (or shortly MTL), the logic of left continuous t norms, is one of t norm fuzzy logics. It belongs to the broader class of substructural logics, or logics of residuated lattices;[1] it extends the logic of commutative… …
74Extension by definitions — In mathematical logic, more specifically in the proof theory of first order theories, extensions by definitions formalize the introduction of new symbols by means of a definition. For example, it is common in naive set theory to introduce a… …
75Mathematical logic — (also known as symbolic logic) is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic.[1] The field includes both the mathematical study of logic and the… …
76Constructivism (mathematics) — In the philosophy of mathematics, constructivism asserts that it is necessary to find (or construct ) a mathematical object to prove that it exists. When one assumes that an object does not exist and derives a contradiction from that assumption,… …
77Prolog — infobox programming language paradigm = Logic programming year = 1972 designer = Alain Colmerauer implementations = BProlog, ECLiPSe, Ciao Prolog, GNU Prolog, Quintus, SICStus, Strawberry, SWI Prolog, YAP Prolog, tuProlog dialects = ISO Prolog,… …
78Principia Mathematica — For Isaac Newton s book containing basic laws of physics, see Philosophiæ Naturalis Principia Mathematica. The title page of the shortened version of the Principia Mathematica to *56. The Principia Mathematica is a three volume work on the… …
79Quantum computer — A quantum computer is a device for computation that makes direct use of distinctively quantum mechanical phenomena, such as superposition and entanglement, to perform operations on data. In a classical (or conventional) computer, information is… …
80Raymond Smullyan — Infobox Writer name = Raymond Merrill Smullyan imagesize = caption = pseudonym = birthdate = birth year and age|1919 birthplace = Far Rockaway, New York occupation = mathematician, logician, philosopher, and magician nationality = American period …
