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...

\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...

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...

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

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

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

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

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...

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

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

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

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

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...

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...

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

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

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

The conservative wave (Portuguese: onda conservadora; Spanish: ola conservadora), or blue tide (Portuguese: maré azul; Spanish: marea azul), was a right-wing...

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...

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...

finance. Use of the terms FCA or TCA usually indicate relatively conservative extensions of current management practices, and incremental improvements to...

The Welsh Conservatives (Welsh: Ceidwadwyr Cymreig), also known as the Welsh Conservative Party (Welsh: Plaid Ceidwadwyr Cymreig), is the branch of the...

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

kind of useful fiction. He showed that mathematical physics is a conservative extension of his non-mathematical physics (that is, every physical fact provable...

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

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...

of eligible voters casting a ballot. Both the Liberal Party and the Conservative Party improved upon their vote share and seat count from 2021, while...