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We will abbreviate " Zermelo-Fraenkel set theory plus the negation of the axiom of choice " by ZF ¬ C.

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## Some Related Sentences

We and will

__We__, in our country, think

**of**war as an external threat which, if it occurs,

__will__not be primarily

**of**our own doing

**.**

__We__

__will__recall that

**the**still confident liberals

**of**

**the**Truman administration gathered with other Western utopians in San Francisco to

**set**up

**the**legal framework, finally and at last, to rationalize war -- to rationalize want and fear -- out

**of**

**the**world:

**the**United Nations

**.**

__We__therefore leave

**the**writer to

**the**enjoyment

**of**

**the**unenvied reputation which

**the**personal abuse he has heaped on us

__will__entitle him to from

**the**low and vulgar herd to which he belongs ''

**.**

__We__may further grant to those

**of**her ( Poetry's ) defenders who are lovers

**of**poetry and yet not poets,

**the**permission to speak in prose on her behalf: let them show not only that she is pleasant but also useful to States and to human life, and we

__will__listen in a kindly spirit ; ;

__We__veterans acknowledge

**the**fact that as time passes

**the**demand for medical care at VA hospitals

__will__grow proportionately as age fosters illness

**.**

__We__feel that The Detroit News is to be complimented upon arranging for articles on these subjects and we hope that it

__will__continue to provide material along wholesome lines

**.**

__We__now have to think not only

**of**our national security but also

**of**

**the**future generations who

__will__suffer from any tests we might undertake

**.**

__We__welcome this able brief for

**the**negative as part

**of**a many-sided discussion

**of**

**the**Atlantic Common Market which JNR

__will__be continuing in our pages

**.**

__We__all seek

**the**same thing through different ways -- an end to this long night

**of**two thousand years

**of**darkness and unspeakable abuses which

__will__continue to plague us until

**the**Star

**of**David flies over Zion ''

**.**

__We__must ask ourselves which

**of**

**the**two alternatives

__will__help

**the**commuter --

**the**two-way B. & O. - C. & O. merger, or

**the**three-way New York Central - B. & O. - C. & O. merger

**.**

__We__should hope that peace corps projects

__will__be truly international and that our citizens

__will__find themselves working alongside citizens

**of**

**the**host country and also volunteers from other lands

**.**

__We__are initiating research on

**the**use

**of**solid state materials for infrared detection using a method which

__will__not require cooling

**of**materials to attain high sensitivity

**.**

__We__believe that these improved facilities

__will__contribute income and effect savings which

__will__fully justify

**the**investment

**.**

``

__We__,**the**Subscribers, do agree, that as soon as a convenient Number**of**Persons have subscribed to this, or a similar Writing,__We____will__present a petition to**the**Hon'ble General Court**of****the**Commonwealth**of**Massachusetts, praying for an Act incorporating into a Body politic**the**subscribers to such Writing with Liberty to build such a Bridge, and a Right to demand a Toll equal to that received at Malden Bridge, and on like Terms, and if such an Act shall be obtained, then we severally agree each with**the**others, that we__will__hold in**the**said Bridge**the**several shares**set**against our respective Names,**the**whole into two hundred shares being divided, and that we__will__pay such sums**of**Money at such Times and in such Manners, as**by****the**said proposed Corporation, shall be directed and required ''**.**

We and abbreviate

We and set

__We__feel uncomfortable at being bossed

**by**a corporation or a union or a television

__set__, but until we have some knowledge about these phenomena and what they are doing to us, we can hardly learn to control them

**.**

__We__have

__set__up a central R & D department, as well as engineering-management departments -- about 80 people working on problems related to those

**of**our plants

**.**

__We__first define a function b{t} as follows: given

**the**

__set__

**of**squares such that each has three corners on

**C**and vertex at t, b{t} is

**the**corresponding

__set__

**of**positive parametric differences between T and

**the**backward corner points

**.**

__We__may now take up for consideration a hard case which seems to require either no action employing economic pressure or else action that would seem to violate

**the**principles

__set__forth above

**.**

__We__met at Maxine's and decided we were

__set__to stay as long as it took, into or even through

**the**evening, to talk things out

**.**

Indeed, following, suppose ƒ is a complex function defined in an open

__set__Ω ⊂**C****.**Then, writing for every z ∈ Ω, one can also regard Ω as an open subset**of**R < sup > 2 </ sup >, and ƒ as a function**of**two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to**C****.**__We__consider**the**Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity –**the**proof is identical in general case**.**
She lost her job on The Dinah Shore Show when, as she said,

**"**__We__were shooting all night, and into**the**next day, and time just got away from me, and I didn't realize that I was supposed to be on**the**__set__working as Dinah's double on her show, Chevy Theatre**.**
Representable functors:

__We__can generalize**the**previous example to any category**C****.**To every pair X, Y**of**objects in**C**one can assign**the**__set__Hom ( X, Y )**of**morphisms from X to Y**.**__We__are interested in

**the**following

__set__

**of**continuous functions called loops with base point x < sub > 0 </ sub >.

The ( unique ) representable functor F: → is

**the**Cayley representation**of**G**.**In fact, this functor is isomorphic to and so sends to**the**__set__which is**by**definition**the****"**__set__**"**G and**the**morphism g**of**( i**.**e**.****the**element g**of**G ) to**the**permutation F < sub > g </ sub >**of****the**__set__G**.**__We__deduce from**the**Yoneda embedding that**the**group G is isomorphic to**the**group**"**I think

**the**biggest black mark against our management to date is

**the**Cukor situation and we can no longer be sentimental about it ....

__We__are a business concern and not patrons

**of**

**the**arts ..." Cukor was relieved

**of**his duties, but he continued to work with Leigh and De Havilland off

**the**

__set__

**.**

We and theory

__We__may thus trace

**the**notion

**of**individual autonomy from its manifestation in religious practice and theological reflection through practical politics and political

__theory__into literature and

**the**arts

**.**

__We__then outline

**the**

__theory__

**of**

**the**interaction

**of**paramagnetic dipoles with nuclei and show that

**the**

__theory__is in excellent agreement with experiment

**.**

__We__should expect that general phonologic

__theory__should be as adequate for tone as for consonants and vowels, but it has not been

**.**

__We__have been using

**the**word `` public '' in quotation marks, that is, in its vernacular connotation with reference to

**the**odd-lot index

__theory__

**.**

Along with her work as a writer

**of**prose fiction, Russ was also a playwright, essayist, and author**of**nonfiction works, generally literary criticism and feminist__theory__, including**the**essay collection Magic Mommas, Trembling Sisters, Puritans & Perverts ; How to Suppress Women's Writing ; and**the**book-length study**of**modern feminism, What Are__We__Fighting For ?.
Carlyle notes:

**"**There is no change in political__theory__so startling in its completeness as**the**change from**the**__theory__**of**Aristotle to**the**later philosophical view represented**by**Cicero and Seneca ....__We__think that this cannot be better exemplified than with regard to**the**__theory__**of****the**equality**of**human nature**.**__We__are now controlled not

**by**binding extra-linguistic value paradigms defining notions

**of**collective identity and ultimate purpose, but rather

**by**our automatic responses to different species

**of**

**"**language games

**"**( a concept Lyotard imports from JL Austin's

__theory__

**of**Speech Acts ).

__We__do not know how these things happen, but

**the**

__theory__tells us about

**the**probabilities

**of**these things happening

**.**

__We__see then that radar, like indeed all macro-scale entities, is profoundly impacted

**by**quantum

__theory__

**.**

__We__are not able to see how

**the**prohibition

**of**teaching

**the**

__theory__that man has descended from a lower order

**of**animals gives preference to any religious establishment or mode

**of**worship

**.**

__We__can use

**the**three-dimensional

__theory__to solve this problem if we regard u as a function in three dimensions that is independent

**of**

**the**third dimension

**.**

__We__know from experience that more often than not

**the**

__theory__that requires more complicated machinations is wrong

**.**

__We__now introduce

**the**idea

**of**

**the**Aspiration level as introduced

**by**Herbert Simon and developed in economics

**by**Richard Cyert and James march in their 1963 book

**"**A Behavioral

__theory__

**of**

**the**firm ".

(

__We__developed ) a__theory__to explain how solar protons can diffuse inward and gain energy in**the**Earth's magnetic field**.**
Abstractly, we can say that D is a linear transformation from some vector space V to another one, W

**.**__We__know that D ( c ) = 0 for any constant function c**.**__We__can**by**general__theory__( mean value theorem ) identify**the**subspace**C****of**V, consisting**of**all constant functions as**the**whole kernel**of**D**.**Then**by**linear algebra we can establish that D < sup >− 1 </ sup > is a well-defined linear transformation that is bijective on Im D and takes values in V /**C****.**
The essence

**of**antiquarianism is a focus on**the**empirical evidence**of****the**past, and is perhaps best encapsulated in**the**motto adopted**by****the**18th-century antiquary, Sir Richard Colt Hoare,**"**__We__speak from facts not__theory__".
Another

__theory__is that there may be a**"**gentlemen's agreement**"**in place ; i**.**e**.****"**__We__won't jam yours if you don't jam ours ".__We__can construct a classical continuous random field that has

**the**same probability density as

**the**quantum vacuum state, so that

**the**principal difference from quantum field

__theory__is

**the**measurement

__theory__( measurement in quantum

__theory__is different from measurement for a classical continuous random field, in that classical measurements are always mutually compatible — in quantum mechanical terms they always commute ).

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