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If neither A nor B includes the idea of existence, then " some A are B " simply adjoins A to B. Conversely, if A or B do include the idea of existence in the way that " triangle " contains the idea " three angles equal to two right angles ", then " A exists " is automatically true, and we have an ontological proof of A's existence.

from
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## Some Related Sentences

If and neither

__If__you

**have**

__neither__a legal residence

**nor**a principal place

**of**business

**in**any Internal Revenue district

**,**your return should be filed with

**the**District Director

**of**Internal Revenue

**,**Baltimore 2

**,**Md.

**.**

Thus

**the**view from Whitehall early**in**1916:__If__defeat was not imminent**,**__neither__was victory ;**and****the**outcome**of****the**war**of**attrition on**the**Western Front could not be predicted**.**__If__a

**simply**stable system response

__neither__decays

**nor**grows over time

**,**

**and**has no oscillations

**,**it

**is**marginally stable:

**in**this case

**the**system transfer function has non-repeated poles at complex plane origin ( i

**.**e

**.**their real

**and**complex component

**is**zero

**in**

**the**continuous time case ).

__If__a criminal were truly aware

**of**

**the**mental

**and**spiritual consequences

**of**his actions

**,**he would

__neither__commit

**nor**even consider committing those actions

**.**

__If__there come any unto you

**,**

**and**bring not this doctrine

**,**receive him not into your house residence

**or**abode

**,**

**or**

**"**inmates

**of**

**the**house

**"**( family ),

__neither__bid him God speed: for he

**that**biddeth him God speed

**is**partaker

**of**his evil deeds

**.**

__If__

**the**firm

**is**a perfect competitor

**in**all input markets

**,**

**and**thus

**the**per-unit prices

**of**all its inputs

**are**unaffected by how much

**of**

**the**inputs

**the**firm purchases

**,**

**then**it can be shown

**that**at a particular level

**of**output

**,**

**the**firm has economies

**of**scale

**if**

**and**only

**if**it has increasing returns

**to**scale

**,**has diseconomies

**of**scale

**if**

**and**only

**if**it has decreasing returns

**to**scale

**,**

**and**has

__neither__economies

**nor**diseconomies

**of**scale

**if**it has constant returns

**to**scale

**.**

__If__one concept

**is**defined by another

**,**

**and**

**the**other

**is**defined by

**the**first

**,**this

**is**known as circular definition

**,**somewhat similar

**to**a circular reasoning:

__neither__offers us any enlightenment about what

**we**wanted

**to**know

**.**

__If__a laser

**is**swept across a distant object

**,**

**the**spot

**of**laser light can easily be made

**to**move across

**the**object at a speed greater than c

**.**Similarly

**,**a shadow projected onto a distant object can be made

**to**move across

**the**object faster than c

**.**In

__neither__case does

**the**light travel from

**the**source

**to**

**the**object faster than c

**,**

**nor**does any information travel faster than light

**.**

__If__

**the**galaxies

**are**

**of**similar size

**,**

**the**resultant galaxy will appear similar

**to**

__neither__

**of**

**the**

**two**galaxies merging

**,**but would instead be

**an**elliptical galaxy

**.**

__If__a definite statement

**is**believed plausible by

**some**mathematicians but has been

__neither__proved

**nor**disproved

**,**it

**is**called a conjecture

**,**as opposed

**to**

**an**ultimate goal: a theorem

**that**has been proved

**.**

#* Proof: Then so Thus However

**,****is**prime**,**so**or**In**the**former case**,**hence ( which**is**a contradiction**,**as__neither__1**nor**0**is**prime )**or**In**the**latter case**,****or**__If__however**,**which**is**not prime**.**__If__

**the**request for plea bargain

**is**accepted by

**the**court

**,**

**the**accused stands convicted but

__neither__

**is**sentenced

**if**

**in**trial

**nor**undergoes any sentence previously pronounced by a lower court

**if**

**in**appeal

**.**

__If__

**the**pole breaks during

**the**execution

**of**a vault

**,**it

**is**considered

**an**equipment failure

**and**

**is**ruled a non-jump

**,**

__neither__a make

**nor**a miss

**.**

__If__only one

**of**his hands beats

**the**banker

**then**he pushes ( ties )

**in**which case

__neither__he

**nor**

**the**banker wins

**the**bet

**.**

__If__a person elected prime minister

**is**

__neither__a member

**of**

**the**Lok Sabha

**nor**Rajya Sabha

**,**

**then**he must become a member

**of**

**the**Lok Sabha

**or**Rajya Sabha within six months

**.**

__If__P

**is**justified

**,**

**then**another belief Q may be justified by P

**.**

__If__P

**is**not justified

**,**

**then**P cannot be a justifier for any other belief:

__neither__for Q

**,**

**nor**for Qs negation

**.**

__If__

__neither__player had won by

**the**tenth turn

**,**subsequent turns consisted

**of**moving one

**of**one's own tokens

**to**

**the**remaining empty hole

**,**with

**the**constraint

**that**this move could only be from

**an**adjacent hole

**.**

__If__

**the**person has been made

**to**stand

**then**

**that**person has no lap

**and**

__neither__

**of**

**the**statements

**"**

**the**person's lap

**is**empty

**"**

**and**

**"**there

**is**something on

**the**person's lap

**"**

**is**

**true**

**.**

If and nor

__If__

**the**daughter

**is**

**an**only child

**or**her sisters

**are**deceased

**and**

**have**no living issue

**,**she (

**or**her heir )

**is**vested with

**the**title ; otherwise

**,**since a peerage cannot be shared

__nor__divided

**,**

**the**dignity goes into abeyance between

**the**sisters

**or**their heirs

**,**

**and**

**is**held by no one

**.**

__If__liberty

**is**taken

**to**mean

**"**

**the**ability

**to**exercise one's rights as provided for by

**the**law

**and**nature

**"**

**then**this

**is**

**true**

**,**but

**if**it means

**"**

**the**state when one

**is**not held

**to**

__nor__required

**to**perform anything against their will

**"**

**then**this

**is**clearly false

**.**

The Council

**of**Trent decreed:**"**__If__anyone shall say**that**a man once justified can sin no more**,**__nor__lose grace**,****and****that**therefore he who falls**and**sins was never truly justified ;**or****,**on**the**contrary**,****that**throughout his whole life he can avoid all sins even venial sins**,**except by a special privilege**of**God**,**as**the**Church holds**in**regard**to****the**Blessed Virgin: let him be anathema**.**
However this did not make Reynolds happy

**,**as he wrote**to**Boswell:**"**__If__I had known what a shabby miserable place it**is****,**I would not**have**asked for it ; besides as things**have**turned out I think a certain person**is**not worth speaking**to****,**__nor__speaking**of****",**presumably meaning**the**King**.**__If__it were different

**,**states would not

**have**

**the**

**right**

**,**

__nor__be

**in**a position

**,**

**to**maintain

**that**minimum

**of**order on which all civilized life rests .” Calling

**the**concept a “ red herring ” he stated: “ This argument has been used by

**the**terrorists themselves

**,**arguing

**that**there

**is**no difference between their activities

**and**those by governments

**and**states

**.**

As early as 1892

**,**he wrote:**"**__If__I had not made magic my constant study I could not**have**written a single word**of**my Blake book**,**__nor__would The Countess Kathleen ever**have**come**to**exist**.**__If__

**the**ship as a result

**of**capture

**and**utilization

**of**4 hydrogen atoms

**is**

__nor__accelerated

**or**slowed down

**,**

**then**

**the**momentum lost during their capture

**is**

**equal**

**to**

**the**momentum gained from

**the**release

**of**

**the**helium atom from

**the**nozzle:

__If__

**the**drugs were more affordable these people would not need

**to**commit these “ secondary ” crimes such as burglary

**and**theft

**,**

__nor__would it be as profitable for large criminal organizations

**.**

If and B

__If__

**A**

**is**

**the**major axis

**of**

**an**ellipsoid

**and**

__B__

**and**C

**are**

**the**other

**two**axes

**,**

**the**radius

**of**curvature

**in**

**the**ab plane at

**the**end

**of**

**the**axis Af

**,**

**and**

**the**difference

**in**pressure along

**the**

**A**

**and**

__B__axes

**is**Af

**.**

__If__T

**is**a linear operator on

**an**arbitrary vector space

**and**

**if**there

**is**a monic polynomial P such

**that**Af

**,**

**then**parts (

**A**)

**and**(

__B__)

**of**Theorem 12

**are**valid for T with

**the**

**proof**which

**we**gave

**.**

**

__If__S**is**a set**of**sentences**of**first-order logic**and**__B__**is**a consistent subset**of**S**,****then**__B__**is**included**in**a set**that****is**maximal among consistent subsets**of**S**.**The special case where S**is****the**set**of**all first-order sentences**in**a given signature**is**weaker**,**equivalent**to****the**Boolean prime ideal theorem ; see**the**section**"**Weaker forms**"**below**.**__If__

**the**valid element indices begin at 0

**,**

**the**constant

__B__

**is**

**simply**

**the**address

**of**

**the**first element

**of**

**the**array

**.**

__If__

**the**minimum legal value for every index

**is**0

**,**

**then**

__B__

**is**

**the**address

**of**

**the**element whose indices

**are**all zero

**.**

__If__X

**and**Y

**are**Banach spaces over

**the**same ground field K

**,**

**the**set

**of**all continuous K-linear maps T: X → Y

**is**denoted by

__B__( X

**,**Y ).

__If__X

**is**a Banach space

**and**K

**is**

**the**underlying field ( either

**the**real

**or**

**the**complex numbers ),

**then**K

**is**itself a Banach space ( using

**the**absolute value as norm )

**and**

**we**can define

**the**continuous dual space as X ′ =

__B__( X

**,**K ),

**the**space

**of**continuous linear maps into K

**.**

In addition

**to**acting**and**occasionally directing**,**Campbell has become a writer**,**starting with**an**autobiography**,**__If__Chins Could Kill: Confessions**of**a__B__Movie Actor published on August 24**,**2002**.**__If__

**the**convention

__B__< sub > 1 </ sub >=−

**is**used

**,**this sequence

**is**also known as

**the**first Bernoulli numbers ( /

**in**OEIS ); with

**the**convention

__B__< sub > 1 </ sub >=+

**is**known as

**the**second Bernoulli numbers ( /

**in**OEIS ).

__If__

**an**atom

**A**

**is**double-bonded

**to**

**an**atom

__B__

**,**

**A**

**is**treated as being singly bonded

**to**

**two**atoms:

__B__

**and**a ghost atom

**that**has

**the**same atomic number as

__B__but

**is**not attached

**to**anything except

**A**

**.**

__If__

**the**ideals

**A**

**and**

__B__

**of**R

**are**coprime

**,**

**then**AB =

**A**∩

__B__; furthermore

**,**

**if**C

**is**a third ideal such

**that**

**A**

**contains**BC

**,**

**then**

**A**

**contains**C

**.**The Chinese remainder theorem

**is**

**an**important statement about coprime ideals

**.**

__If__

**A**admits a totally ordered cofinal subset

**,**

**then**

**we**can find a subset

__B__which

**is**well-ordered

**and**cofinal

**in**

**A**

**.**

__If__

**two**cofinal subsets

**of**

__B__

**have**minimal cardinality ( i

**.**e

**.**their cardinality

**is**

**the**cofinality

**of**

__B__),

**then**they

**are**order isomorphic

**to**each other

**.**

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