In mathematical logic, New Foundations (NF) is an axiomatic set theory, conceived by Willard Van Orman Quine as a simplification of the theory of types of Principia Mathematica.
New Foundations has a universal set, so it is a non-well-founded set theory.[1] That is to say, it is an axiomatic set theory that allows infinite descending chains of membership, such as
... xn ∈ xn-1 ∈ ... ∈ x2 ∈ x1. It avoids Russell's paradox by permitting only stratifiable formulas to be defined using the axiom schema of comprehension. For instance, x ∈ y is a stratifiable formula, but x ∈ x is not.
In mathematical logic, NewFoundations (NF) is an axiomatic set theory, conceived by Willard Van Orman Quine as a simplification of the theory of types...
The Foundations were a British soul band who were primarily active between 1967 and 1970. The group's background was: West Indian, White British and Sri...
Foundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical...
radically different systems of alternative set theory. For example, NewFoundations and positive set theory use different restrictions of the axiom of...
list of wealthiest charitable foundations worldwide. It consists of the 50 largest charitable foundations, private foundations engaged in philanthropy, and...
Univalent foundations are an approach to the foundations of mathematics in which mathematical structures are built out of objects called types. Types in...
"The Foundations of Decay" is a song by American rock band My Chemical Romance. It is the band's first release since their reunion in October 2019 and...
The Scaife Foundations refer collectively to three foundations in Pittsburgh, Pennsylvania. The three subdivisions are: the Allegheny Foundation, the...
Quine's system of axiomatic set theory, NewFoundations (NF), takes its name from the title ("NewFoundations for Mathematical Logic") of the 1937 article...
studied set theory with a universal set is Willard Van Orman Quine's NewFoundations. Alonzo Church and Arnold Oberschelp also published work on such set...
and developed his own system of mathematics and set theory, known as NewFoundations. In the philosophy of mathematics, he and his Harvard colleague Hilary...
Open Society Foundations (OSF), formerly the Open Society Institute, is a US-based grantmaking network founded by business magnate George Soros. Open...
Moral foundations theory is a social psychological theory intended to explain the origins of and variation in human moral reasoning on the basis of innate...
proper class. The definition does work however in type theory and in NewFoundations and related systems. However, if we restrict from this class to those...
Berlin, New York: Springer-Verlag, p. 642, ISBN 978-3-540-44085-7, Zbl 1007.03002 Bishop, Errett (1967), Foundations of Constructive Analysis, New York:...
Revolution in 1793, are excluded. Some institutions reemerge, but with newfoundations, such as the modern University of Paris, which came into existence...
further down in this article). Some institutions re-emerge but with newfoundations, and these too are omitted from the regular list. List of current monarchies...
The foundations of negotiation theory are decision analysis, behavioral decision-making, game theory, and negotiation analysis. Another classification...
Foundations of Physics is a monthly journal "devoted to the conceptual bases and fundamental theories of modern physics and cosmology, emphasizing the...
postal code NF Norfolk Island, part of the Commonwealth of Australia NewFoundations, a theory in mathematical logic Nitrogen monofluoride, a chemical compound...
The Francke Foundations (Franckesche Stiftungen), also known as Glauchasche Anstalten were founded in 1695 in Halle, Germany as a Christian, social and...
The Foundations of Geopolitics: The Geopolitical Future of Russia is a geopolitical book by Aleksandr Dugin. Its publication in 1997 was well received...
will disappear; society, sapped at its very base, will have to find newfoundations; and Eros, beautifully and irresponsibly free, will flit like a gay...
statistical model Mathematical Logic, a variation of Quine's system NewFoundations Mittag-Leffler, Gösta, a Swedish mathematician (1846-1927) things named...
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