In mathematical logic, a conservative extension is a supertheory of a theory which is often convenient for proving theorems, but proves no new theorems...

expected from a definition. More precisely, the new theory is a conservative extension of the old one. Let T {\displaystyle T} be a first-order theory...

The Conservative and Unionist Party, commonly the Conservative Party and colloquially known as the Tories, is one of the two main political parties in...

rule x < y ↔ ∃z (Sz + x = y). Equivalently, we get a definitional conservative extension of Q by taking "<" as primitive and adding this rule as an eighth...

\varphi (a_{1},\ldots ,a_{m})} . Then T 1 {\displaystyle T_{1}} is a conservative extension of T {\displaystyle T} , which means that the theory T 1 {\displaystyle...

Von Neumann–Bernays–Gödel set theory (NBG) is a commonly used conservative extension of Zermelo–Fraenkel set theory that does allow explicit treatment...

of Sets (1965). While von Neumann–Bernays–Gödel set theory is a conservative extension of Zermelo–Fraenkel set theory (ZFC, the canonical set theory) in...

to form conservative extensions of the deduction theorem that permit the use of additional connectives. These extensions are called conservative because...

In logic, extensionality, or extensional equality, refers to principles that judge objects to be equal if they have the same external properties. It stands...

The chairman of the Conservative Party in the United Kingdom is responsible for party administration and overseeing the Conservative Campaign Headquarters...

Neumann–Bernays–Gödel set theory (NBG) is an axiomatic set theory that is a conservative extension of Zermelo–Fraenkel–choice set theory (ZFC). NBG introduces the...

The Conservative Party of Canada (CPC; French: Parti conservateur du Canada, PCC), sometimes referred to as the Tories, is a federal political party in...

tolerance, and cotolerance, introduced by Giorgi Japaridze in 1992–93. Conservative extension Interpretation (logic) Interpretation (model theory) Interpretability...

makes classical logic a special fragment of CoL. Thus CoL is a conservative extension of classical logic. Computability logic is more expressive, constructive...

Alexander Grothendieck) is an axiomatic set theory. It is a non-conservative extension of Zermelo–Fraenkel set theory (ZFC) and is distinguished from other...

the Conservative Party (officially the leader of the Conservative and Unionist Party) is the highest position within the United Kingdom's Conservative Party...

The Conservative Party of Canada (French: Parti conservateur du Canada) was a major federal political party in Canada that existed under that name from...

the liberal democratic basis of U.S. governance, and opposes both the conservative and liberal wings of the country's political mainstream. Many of its...

axiomatic set theory like Von Neumann–Bernays–Gödel set theory, a conservative extension of ZFC. Sometimes slightly stronger theories such as Morse–Kelley...

In object-oriented computer programming, an extension method is a method added to an object after the original object was compiled. The modified object...

submodels of a model are its subobjects. Conservative extension (model theory) Elementary substructure End extension Löwenheim–Skolem theorem Prime model...

words, all types have a definite description operator. This is a conservative extension, so the extended system is consistent if the core is consistent...

logic are only a result of novel well-formed formulas. (See also Conservative extension.) In a deviation, the usual logical constants are used, but are...

the theory is coherent. Every first-order theory has a coherent conservative extension.[citation needed] Dyckhoff & Negri (2015) list eight consequences...

case of nonstandard utilities, since the nonstandard reals form a conservative extension, meaning that any theorem which is true for reals can be extended...

mathematical logic, this is called an extension by definition (by equality) which is a conservative extension to a formal system. This is done by taking...

The Conservative Party (Hungarian: Konzervatív Párt, pronounced [ˈkonzɛrvɒtiːv ˈpaːrt]) was one of the most influential political groups of the National...

individualism, limited government, and laissez-faire economics. Fiscal conservatives advocate tax cuts, reduced government spending, free markets, deregulation...

over sets, rather than over all classes. This causes NBG to be a conservative extension of ZFC. Morse–Kelley set theory admits proper classes as basic objects...

related physical exercises intended to enhance lumbar flexion, avoid lumbar extension, and strengthen the abdominal and gluteal musculature in an effort to...