Aplicacion de Cuantificadores y Proposiciones Categoricas

 

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Unrcn 91 Np`fbnbfòm ec bunmtfdfbnelrcs y prlplsfbflmcs bntcoòrfbns

 Efrcbtlr ec` Bursl1 Bnrl`fmn Bnstnþl Outfærrcz Uutlr1 Vnecr I`nmeòm Cstuefnmtc1 Acmmy [nl`n Outfærrcz Cstcinm Bòefol1 >.;6;.576.797 Orupl1 9;;4>>\3;3

Smfvcrsfene Mnbflmn` N`icrtn y n Efstnmbfn ‒ SMNE Csbuc`n ec Bfcmbfns ec `n Ceubnbfòm ‒ CBCES @fbcmbfnturn cm @cmouns Cxtrnmacrns blm æmdnsfs cm fmo`æs ‒ @f@CF [cmsnjfcmtl `òofbl y jntcjîtfbl - (9;;4>>N\63>) Jnrzl,9?,9;9; Bñbutn

 

9

Fmtrleubbfòm

 

@n prcscmt prcscmtcc nbtf nbtfvfene vfene Unrcn 91 ‐Np`f ‐Np`fbnbfò bnbfòmm ec bunmtf bunmtfdfbnelr dfbnelrcs cs y prlplsfbflmcs prlplsfbflmcs

bntcoòrfbns‚ bntcoò rfbns‚ blmsfst blmsfstcc cm blmlbcr blmlbcr,, y np`fb np`fbnr nr plr jcefl jcefl ec` sfoufcmtc sfoufcmtc trninal trninal y gnbfcmel gnbfcmel usl ec `ls bunmtfdfbnelrcs blm c` dfm ec bljp`cjcmtnr prlplsfbflmcs yn enens c fecmtfdfbnr  buî` cs c` bunmtfdfbnelr, `n bòpu`n, c` suactl y c` prcefbnel. [lr ltrl `nel, n pnrtfr ec um nroujcm nrou jcmtl tl sc ect ectcrj crjfmn fmn `n sfjil` sfjil`loê loênn y sc fecmtf fecmtfdfbn dfbnmm rnzlmnj rnzlmnjfcm fcmtls tls y rcspcbt rcspcbtfvl fvlss nroujcmtls nroujcm tls eceubtf eceubtfvls vls c fmeubt fmeubtfvls. fvls.  cm elmec sc csbloên umn `ctrn blrrcsplmefcmtc, cm jf bnsl c`coê `n `ctrn B, `n bun` sc eciên fmdlrjnr `n c`cbbfòm ec `n jfsjn plr jcefl ec` blrrcsplmefcmtc dlrl y nsê jfsjl bljl `l fmefbnin `n ouên ec nbtfvfenecs efscþnr tlels `ls 5 cacrbfbfls ec `n jfsjn `ctrn csblofen tcmfcmel cm bucmtn `ns `cbturns ifi`florîdfbns, rcvfsflmcs, rcvfsf lmcs, blrrc blrrcbbflmc bbflmcs, s, rctrln`fjcm rctrln`fjcmtnbfl tnbflmcs mcs gcbgns plr plr c` tutl tutlrr

y ecjîs cxp`fbn cxp`fbnbflmcs bflmcs

 irfmenens plr c` elbcmtc cm `ls efdcrcmtcs cmbucmtrls ec `ls bfpns. Necjîs ec c``l `n nbtfv nbt fvfe fene ne blmt blmtnrî nrî cm c` lrecm lrecm blrrcs blrrcsplm plmef efcmt cmtcc blm umn plrtn plrtnen en ec prcscm prcscmtn tnbf bfòm òm,, `n fmt fmtrleu rleubbf bbfòm, òm, lia liactf ctfvls, vls, sl`ubf sl`ubfòm òm ec `ls cac cacrbf rbfbfl bfls, s, blrrcspl blrrcsplmef mefcmt cmtcs cs blmb`us blmb`usflm flmcs cs y rcdcrcmbfns ifi`florîdfbns bftnens.

 

2

Liactfvls

Liactfvl Ocmcrn`1 

Fecmtfdfbnr `n nbtfvfene nbtfvfene fmfbfn` Unrcn 91‐Np`fbnbfòm ec bunmtfdfbnelrcs y prlplsfbflmcs bntcoòrfbns‚ ec` bursl pcmsnjfcmtl @òofbl y jntcjîtfbl pnrn `lornr `n c`nilrnbfòm ec `ls buntrl cacrbfbfls ec `n blrrcsplmefcmtc `ctrn csblofen `n bun` duc `n `ctrn B.

Liactfvls Cspcbêdfbls1 

Ecdfmfr Ecdf mfr `n sfj sfjil` il`loê loênn y bljp`c bljp`cjcm jcmtnr tnr nro nroujc ujcmtl mtlss enels, enels, fecmtf fecmtfdfb dfbnmel nmel c` tf tfpl pl ec bunmtfdfbnelr n` quc blrrcsplmec.

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Ycblmlbcr `ns pnrtcs ec umn prlplsfbfòm cmtrc bunmtfdfbnelr, bòpu`n, suactl y prcefbnel.

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Bntc Bn tcol olrf rfzn znrr `n `nss pr prlp lpls lsfb fbfl flmc mcss y us usnr nr`l `l pnrn pnrn ec ectc tcrj rjfm fmnr nr `n rc rc`n `nbf bfòm òm cm cmtr trcc `n `nss  prlplsfbflmcs enens.

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Efstfmoufr cmtrc nroujcmtls fmeubtfvls y eceubtfvls.

[lecr Litcmcr `n sntfsdnbtlrfn c`nilrnbfòm ec umn nbtfvfene quc bujp`n blm `ls rcqufsftls scþn`nels cm `n ouên ec nbtfvfenecs, sfcjprc tcmfcmel cm bucmtn `ns cxp`fbnbflmcs y rcbljcmenbflmcs fjpnrtfens plr `ls elbcmtcs.

 

5

Ecsnrrl``l ec `n nbtfvfene @ctrn ‐B‚. Cacrbfbfl >1 Bunmtfdfbnelrcs.

 \\\\\\\\\\\\\ bunernel tfcmc buntrl `nels foun`cs.  \\\\\\\\\\\\\ blblerf`l cs rlal. rl al. N pnrtfr ec `n pnrcan ec nroujcmtls fmbljp`ctls quc gnyn sc`cbbflmnel ecicrî ecsnrrl``nr  `ls sfoufcmtcs êtcjs1 Bljp`ctn c` nroujcmtl ec tn` dlrjn quc scn vcrenecrl.

n) Ulels `ls bunernel tfcmcm buntrl `nels foun`cs.  i) Mfmoñm blblerf`l cs rlal.  

Ecdfmfr `n sfjil`loên ec` nroujcmtl.

n) Ule Ulell R cs [1 tle tlels ls `ls `ls bune bunernel rnelss  x , tn` quc x tfcmc buntrl `nels foun`cs

( ∋ x ϳ S ) ( x tfcmc buntrl `nels foun`cs )  i) Mfmoñm R cs [1 Ulels `ls blblerf`ls x, tn` quc x cs ml cs rrlal lal ( ∋ x ϳ S ) ( x

 

ml cs rlal rlal )

Fecmtfdfbnr sf blrrcsplmec n um bunmtfdfbnelr umfvcrsn` ndfrjntfvl, bunmtfdfbnelr umfvcrsn` mcontfvl, bunmtfdfbnelr cxfstcmbfn` l bunmtfdfbnelr cxfstcmbfn` ñmfbl.

n) umfvcrsn` ndfrjntfvn, tlel R cs [  i) umfvcrsn` mcontfvn, mfmoñm R cs [

Cacrbfbfl 9. [rlplsfbflmcs bntcoòrfbns.

N`oumls cstuefnmtcs ml vfvcm bcrbn ec `n umfvcrsfene  

Fecmtfdfquc bunmtfdfbnelr y bòpu`n Bunmtfdfbnelr1 N`oumls Bòpu`n1 Ml vfvcm

 

3

 

B`nsfdfquc `n prlplsfbfòm bntcoòrfbn scoñm su b`nsc1 Smfvcrsn` ndfrjntfvn, Smfvcrsn` mcontfvn, [nrtfbu`nr ndfrjntfvn, [nrtfbu`nr mcontfvn

@n prlplsfbfòm cs pnrtfbu`nr mcontfvn.  

Blmstruyn `ls 2 tfpls ec prlplsfbflmcs bntcoòrfbns dn`tnmtcs blm `n jfsjn tcjîtfbn enen.

Smfvcrsn` ndfrjntfvn1 Ulels `ls cstuefnmtcs vfvcm bcrbn ec `n umfvcrsfene Smfvcrsn` Mcontfvn1 Mfmoñm cstuefnmtc vfvc bcrbn ec `n umfvcrsfene [nrtfbu`nr ndfrjntfvn1 N`oumls cstuefnmtcs vfvcm bcrbn ec `n umfvcrsfene Cacrbfbfl 21 b`nsfdfbnbfòm ec prlplsfbflmcs bntcoòrfbns

 p1 Ulels `ls vl`bnmcs gnbcm crupbfòm q1 Mfmoñm vl`bîm gnbc crupbfòm N pnrtfr ec `ns prlplsfbfl prlplsfbflmcs mcs bntcoòrfbn bntcoòrfbnss quc gnyn sc`cbbflmnel ecicrî enr rcspucstn n `ls sfoufcmtcs êtcjs1 Cstni`cbcr su cstrubturn ec nbucrel blm `n sfoufcmtc tni`n1 Cstrubturn [rlplsfbfòm

Bunmtfdfbnelr

Ucrjfml suactl

Bun`fene bòpu`n

l

Uærjfml [rcefbnel

p

Ulels

Tl`bnmcs

Gnbcm

Crupbfòm

q

 Mfmoñm

Tl`bîm

Gnbc

Crupbfòm

Ectcrjfmc c` tfpl ec prlplsfbfòm (N, C, F, L) pnrn bnen prlplsfbfòm bntcoòrfbn enen.

 p1 Smfvcrsn` ndfrjntfvn ([rlplsfbflmcs N)1 bunmtfdfbnelr umfvcrs umfvcrsn` n` y bun`fene ndfrjntfvn q1 Smfvcrsn` mcontfvn ([rlplsfbflmcs C)1 bunmtfdfbnelr umfvcrsns y bun`fene mcontfvn

 

4

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Ec nbucrel blm su rcpucstn cm c` rcqucrfjfcmtl nmtcrflr, cstni`czbn `n rc`nbfòm cm cmtr trcc

`nss `n

prlp prlpls lsfb fbfl flmcs mcs enens enens..

Blmt Blmtrn rnef efbt btlr lrfn fns, s,

Blmt Blmtrn rnrf rfns ns,,

Ruibl Ruiblmt mtrn rnrf rfn, n,

suin`t sui n`tcrmn crmns. s. Ycqufsf Ycqufsftl tl pnrn cstc cstc pnsl pnsl `ns prlpls prlplsfbf fbflmcs lmcs ecicm ecicm tcmcr tcmcr c` jfsjl jfsjl tærjfml suactl y prcefbnel.

 p

q

@ns prlplsfbflmcs slm blmtrnrfns. Cacrbfbfl 51 Ynzlmnjfcmtl eceubtfvl c fmeubtfvl. Nroujcmtl1

Enmfc`n sc cmtcrò quc N`canmerl `c duc fmdfc` n su csplsn. Jf`tlm, c` njfol

ec Aunm tnjifæm `c duc fmdfc` n su csplsn. Enmfc`n pfcmsn quc tlels `ls gljircs slm fmdfc`cs  

Fecmtfdfbnr `ns prcjfsns y `n blmb`usfòm. p1 Enmfc`n sc cmtcrò quc N`canmerl `c duc fmdfc` n su csplsn q1 Jf`tlm c` njfol ec Aunm tnjifæm `c duc fmdfc` n su csplsn. Blmb`usfòm1 Enmfc`n pfcmsn quc tlels `ls gljircs slm fmdfc`cs

 

Fecmtfdfbnr sf c` rnzlmnjfcmtl cs ec tfpl eceubtfvl l fmeubtfvl.

C` rnzlmnjfcmtl cs ec tfpl fmeubtfvl

 

Austfdfbnr l nroujcmtnr blm sus pn`nirns `n rcspucstn nmtcrflr.

[lrquc `n blmb`usfòm sc cjftc insnel cm umns liscrvnbflmcs, pcrl ml sc tfcmc bcrtczn quc scn nsê, plr `l tnmtl sc fmeubc quc cs vcrene, pcrl pucec scr dn`sl.

 

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Blmb`usflmcs

Cm `n rcn`fznbfòm ec cstc trninal `loræ  fecmtfdfbnr `n nbtfvfene Unrcn 91 ‐Np`fbnbfòm

ec bunmtfdfbnelrcs bunmtfdfbnelrcs y prlplsfbflmcs bntcoòrfbns‚ blmlbfcmel y np`fbnmel np`fbnmel c` usl ec `ls bunmtfdfbnelrcs blm c` dfm ec blj bljp`cjcmtnr p`cjcmtnr prlplsfbflmcs yn enens rcblmlbfcmel buî` cs c` bunmtfdfbnelr, `n bòpu`n, c` suactl y c` prcefbnel. [lr ltrl `nel, n pnrtfr ec um nroujcmtl sc ectcrjfmn `n sfjil`loên y sc fecmtfdfbnm rnzlmnjfcmtls y rcspcbtfvls nroujcmtls eceubtfvls c fmeubtfvls. 

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Nsê jfsjl cm `n c`nilrnbfòm ec `ls blrrcsplmefcmtcs cacrbfbfls rcblmlbê n pnrtfr ec

`ls nroujcmtls enels, quc æstls sc bljp`cjcmtnrlm ec dlrjn quc ducrnm vcrenecrls y sc fecmtfdfbò c` tfpl blrrcsplmefcmtc.

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Unji Unjifæ fæmm

Rc ec ectc tcrj rjfm fmnr nrlm lm `n `nss pnr pnrtc tcss ec umn pr prlpl lplsf sfbf bfòm, òm, `n `nss bu bun` n`cs cs slm

bunmtfdfbnelr, bòpu`n, suactl y prcefbnel y sc cxprcsò `n jfsjn prlplsfbfòm cm sus bntcolrêns rcstnmtcs.

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  Foun`jcmtc, Rcoñm `ns prlplsfbflmcs nsfomnens, sc cstni`cbfò c` tfpl ec prlplsfbfòm y `n rc`nbfòm cmtrc cstns.

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Rc fecmt fecmtfdfbò, fdfbò, sf um nroujc nroujcmtl mtl cs eceubtfvl eceubtfvl c fmeubtfvl, fmeubtfvl, sfcmel c` ñ`tfjl ñ`tfjl c` bnsl

enel pucs sc insn n pnrtfr ec umn scrfc ec liscrvnbflmcs pnrn cjftfr `n blmb`usfòm.

 

7

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Dfmn`jcmtc, `n rcn`fznbfòm ec cstn nbtfvfene ocmcrò cm jê, c` prlpòsftl y

sntfsdnbbfòm ec gnicr c`nilrnel um trninal quc bujp`fcrn blm `ls rcqufsftls scþn`nels cm `n ouên ec nbtfvfenecs tcmfcmel sfcjprc cm bucmtn `ns cxp`fbnbflmcs y rcbljcmenbflmcs fjpnrtfens plr `ls elbcmtcs, yn quc bl`lbnr cm prîbtfbn `ls blmlbfjfcmtls nprcmefels jc scrvfrîm pnrn ecscmvl`vcrjc cm jf vfen efnrfn bljl cstuefnmtc y duturl elbcmtc tnmtl tnmtl cm c` îj îjiftl iftl pcrslmn` bljl cm c` îjiftl prldcsflmn`.

 

6

 

Ycdcrcmbfns Ifi`florîdfbns

 

Nrrcelmel, B. A., & Csblinr, T. O. (9;>3). @òofbn1 tcjns iîsfbls. Efstrftl

Dcecrn`, JÆWFBL1 Orupl Ceftlrfn` [ntrfn. (pp. 4>- 43) Ycbupcrnel ec gttps1//c`firl-mct.ifi`fltcbnvfrtun`.umne.ceu.bl/cs/crcnecr/umne/5;5>53). @òofbn1 tcjns iîsfbls. Efstrftl

Dcecrn`, JÆWFBL1 Orupl Ceftlrfn` [ntrfn. (pp. 7; - 75) Ycbupcrnel ec gttps1//c`firl-mct.ifi`fltcbnvfrtun`.umne.ceu.bl/cs/crcnecr/umne/5;5>5

 

Csbuecrl Uruaf``l, Y. (9;>4). Jntcjîtfbns iîsfbns (5n. ce.). (pp. 2? ‒ 26).

Smfvcrsfene ec` Mlrtc. Ycbupcrnel ec gttps1//c`firlmct.ifi`fltcbnvfrtun`.umne.ceu.bl/cs/crcnecr/umne/4664?;

 

Yl`eîm, F. Y. (9;>7). Ynzlmnjfcmtl y `cmounac jntcjîtfbl. (pp.?;-?2). C` Bfe

Ceftlr, Bòrelin. Ycbupcrnel ec gttps1//c`firlmct.ifi`fltcbnvfrtun`.umne.ceu.bl/cs/crcnecr/umne/24?2>;364/22?>> LTN ‒ Smfene 9

 

Bnstnþl, B. (9;9;). [rlplsfbflmcs bntcoòrfbns. Ycbupcrnel

ry.umne.ce ne.ceu.bl u.bl /gnme`c /gnme`c/>;364 />;364/2?72? /2?72? ec1 gttps1//rcplsftl gttps1//r cplsftlry.um