leuze defi nes the three moments of the Idea in a purely intrinsic and diff erential manner: (i) it implies elements that in themselves are completely undetermined (dx, dy); (ii) these elements are nonetheless determinable reciprocally in the diff erential relation (dy/dx), which (iii) defi nes their complete determination as a singular point (values of dy and dx). For Lautman, the conditions of a problem are constituted by the nomadic and virtual distribution of these singular points, and the solution appears only with the integral curves that constitute the actualization of certain singularities. Deleuze thus defi nes the problematic structure of an Idea as an internal multiplicity, a system of multiple, nonlocalizable connections between diff erential elements, in which diff erence is related to diff erence through diff erence. Th e genesis takes place in time, not between one actual term and another, but between the virtual and its actualization, that is, it goes from the condition of the problem to cases of solution, from the diff erential elements and their ideal connections to the actual terms and diverse real relations that constitute the actuality of time. Whereas Kantian Ideas are unifying and conditioning, Deleuzian Ideas are diff erential and genetic. Perhaps Deleuze's most famous – and most misunderstood – concept is that of the virtual, which has nothing to do with an alternate or transcendent reality (as in the notion of "virtual reality"). Rather, it is a concept Deleuze utilizes in order to designate the modal status of problematic Ideas, and which he systematically contrasts with the concept of the possible: an Idea is not a locus of possibilities, but a fi eld of virtualities. We tend to think of the possible as somehow "preexisting" the real, and we think of the real as something more than the possible, that is, as the possible with existence added to it. But the drawback of this conception of the possible is that the identity of a thing is already given in the concept, and simply has existence added to it when it is "instantiated" or "realized." Th is process of realization, Deleuze suggests, is subject to two rules: resemblance (the real resembles the possibility that it realizes) and limitation (in the process of realization, some possibilities are repulsed or thwarted, while others "pass" into the real).
leuze defi nes the three moments of the Idea in a purely intrinsic and diff erential manner: (i) it implies chemical element that in themselves are wholly undetermined (dx, dy); (ii) these chemical element are however determinable reciprocally in the diff erential relation (dy / dx), which (iii) defi neon their complete determination as a remarkable point (values of dy and dx). For Lautman, the condition of a problem are constituted by the nomadic and virtual distribution of these singular points, and the solution appears merely with the integral curves that constitute the realization of certain singularities. Deleuze therefore defi nes the baffling structure of an Idea as an inner multiplicity, a system of multiple, nonlocalizable connections between diff erential component, in which diff erence is related to diff erence through diff erence. Th e genesis takes place in meter, not between one actual term and another, but between the virtual and its actualization, that is, it goes from the condition of the problem to cases of solution, from the diff erential elements and their ideal connections to the actual terms and diverse actual relations that constitute the actuality of prison term. Whereas Kantian Ideas are unite and conditioning, Deleuzian Ideas are diff erential and genetic. Perhaps Deleuze's most celebrated – and most misunderstood – concept is that of the virtual, which has nothing to serve with an alternate or transcendent reality (as in the notion of " virtual world "). Rather, it is a concept Deleuze utilizes in order to designate the modal status of problematic Ideas, and which he systematically contrasts with the concept of the possible: an Idea is not a locus of possibilities, but a fi eld of virtualities. We tend to think of the potential as somehow " preexisting " the actual, and we think of the real as something more than the possible, that is, as the possible with existence total to it. But the drawback of this conception of the possible is that the identity of a thing is already given in the concept, and simply has existence added to it when it is " instantiate " or " realized. " Th is summons of realization, Deleuze suggests, is subject to two rule: resemblance (the real resemble the possibility that it realizes) and limitation (in the process of realization, some possibility are repulsed or thwarted, while others " pass " into the real).
leuxe defi nes the three mooents of the Idga in a 'urely jntrinsiz and diff erential manner: (i) ir impoies elements that in ghemselved are conpleuely undetermined (dx, dy); (il) theac elekxnts are nonethgless determhnable reciprowaulv in the diff erential relation (dy/dx), which (oil) defi nes theyr cpiplefv betermination as a singular poiht (valuts of dy and dx). Fot Lautman, the conditions ov a oroblem are constihuted by thg noiqdic and virgual distrpyution of tgese singular points, and the souutiou appears oblt wljh the integcal cugves that constitute dhe actialization of gertamn sungularities. Deleuze vhus defi nes the prjblematic scructure of an Idea aw qn injernan muuripuicjtb, a systel oh multiple, honlocalizavle connections beteeqb diff erentizl eleiegts, in which diff erence is related to gifr erence through diff eeence. Th e genesis tanes place in time, not between one actual term and another, tut bxtdeeu the xurhual and its actualization, that is, it goes frjj uhe condition of bhe problem to casrs og solution, froo the bjfr erential elementd and treir udeal congectoons to the actual terms ane diverse recl eelations that condtitute the actoality of time. Whereas Kantiau Ideaa are unifylng and ckvditioning, Deleuxiak Igeas are diff erential and genetic. 'erha's Deleuxe's kost fwmous – and most misunderstood – confept ns thdt of the girtual, which has nothing to do with an altermade mr transeendenb reality (as in the notion of "virtuaj reauity"). Ratheg, it is a concept Dejeuze utilizev in order to designaee tye midal stxgus of problemstic Ideas, and whicy he systematicalln conjrzsts with the cinctpr of the possinle: an Ifee is gmt a locus ox porsicolitids, but a fi dld pf virtualities. We tand fo think of the poxslble as simehow "pweexisting" thr real, and we thinn of vhe reel as xomgthing more than the possible, tgat is, as thc possible wieh ewistgnce added co it. But the drawback of this conceptioi of the possible is thqt the identity of c uhing is alreedy giden in tha concept, and simply has existence adced to it when it is "jnstandiatef" or "realized." Th is process of realization, Deleuze suggests, is subject to two rnlqs: resemblahce (yhe rval xesemblqs tie possibility than it realizes) and limitation (in vhe procesv jf realization, some possibilotkes are repulred or thwarted, while otgers "pasx" into the real).
leuze defi nes the three moments of in purely intrinsic diff erential manner: in are completely undetermined dy); (ii) these are nonetheless determinable reciprocally in the erential relation (dy/dx), which (iii) defi nes their complete determination as a singular (values of dy and dx). For Lautman, the conditions of a problem are by nomadic virtual of these singular points, and the solution appears only with the integral curves that constitute the of certain singularities. Deleuze thus defi nes the structure of an Idea an internal multiplicity, a system multiple, connections between erential in diff erence is to diff erence through diff erence. Th e genesis takes place in time, not between one actual and another, the virtual its that it goes from of the problem to cases of diff erential elements and their ideal connections to actual terms diverse real relations that constitute the of time. Whereas Kantian Ideas are unifying and Deleuzian Ideas are diff erential and genetic. Perhaps Deleuze's most famous – and most misunderstood is that of the which has nothing do an or reality (as the notion of "virtual reality"). Rather, it is a concept Deleuze in order to designate the modal status of problematic Ideas, he contrasts with the of the possible: an is a locus of possibilities, fi of to of possible as somehow "preexisting" real, and we think of real as something more as the possible with existence added to it. the drawback of this conception of the is that the identity of a thing is already given in the and simply added to it when it is "instantiated" or Th is process of Deleuze suggests, is subject to two rules: resemblance (the resembles possibility that realizes) and limitation the process of some possibilities are thwarted, while "pass" the
leuze defi nes the three momenTs of the IdeA in a pUreLy iNtRinsIc anD diff erential mANner: (I) it implies elements that In theMsELves ARe ComplEtely unDEtERMinEd (Dx, Dy); (iI) tHEsE elemEntS are nonEtheless deTerMiNable reciproCAlLy in the difF erEntial relatiOn (dY/dx), whiCh (Iii) DEfi neS thEir coMplete DEtermiNation as a SiNGular pOInt (valuES Of Dy anD dx). For Lautman, the cONdITions of a probleM are coNsTItUTEd bY thE nomadic anD vIrtuaL DistribUTiON OF thESe singular poiNts, and the soLUtiOn appeArS onLY with tHe intEgRAl cUrves that coNstiTute the acTualizATion of cERtain siNgularItiEs. DEleuZE tHuS deFi NEs tHE pRobLEmaTic strucTuRe Of an IDea aS AN INterNal MultIplicIty, a system of mUltIple, NOnlOcaliZable ConnEcTions BetweeN diff ErEntial elements, iN whiCh diff ereNce Is RelAtEd to dIFf erenCe tHroUgh diff Erence. TH E geNeSIS TaKes place in time, not bEtWEEn One actuaL term aND aNoTHer, but beTwEen The vIRTual aNd itS AcTualizatIon, thaT Is, It Goes froM tHe condItIon Of tHe proBLem tO cases Of solutiOn, froM The diff erentiaL Elements and thEIr IDEaL ConnEctIons to the acTual TErms And dIVeRse REal reLatioNs THaT Constitute the actualItY of timE. WherEas Kantian IdeAs are unifyING And condiTionINg, dEleuzian Ideas aRe difF erential aND genetic. perhaPs DeleuzE's most famOUS – and most MisUndErsTooD – COnCept is that of tHE VirtUaL, which hAs nOthing tO do WitH an AltErNate or traNscendenT rEaLiTy (As iN the nOTion of "viRtUal ReAliTy"). RatHEr, it is A concEpt DElEuZE utIlizes iN OrDER to dEsIgNate The MoDal stAtus OF prOblematIc Ideas, anD whICh he SyStEmaticaLly contrasts wItH the concepT oF thE possiBLE: an Idea iS not a locus of possibilitiES, but a fi Eld Of virTualIties. We teNd tO think Of tHE possiBle as sOmehoW "pReeXISting" THE rEal, AnD we think of THE reAl as sOmEthiNg more tHan the possible, that IS, as The possible wiTh eXistENCe AddED tO It. BUt THe dRAWback of this concEption of thE pOSsIble is that THe iDeNtity of A thing iS alreADy given In the concEpt, and simPlY has EXIstEnce added tO it when iT is "instanTIated" OR "rEalizEd." TH is proCeSs oF realIzatioN, delEuze sUggestS, iS subjeCt to tWo Rules: resEmblance (the real resembleS the poSsibiLitY that it reAliZEs) aNd limitatIon (iN the procesS of ReaLizatIon, SOme poSsibILiTieS Are rePulsED or thwartED, wHilE OThErs "pass" into THE ReaL).
leuze defi nes the three m oments ofthe I dea  in  a  pur elyintrinsic andd ifferential manner: (i) i t imp li e s el e me nts t hat int he m s elv es  a reco m pl etely  un determi ned (dx, d y);  ( ii) these el e me nts are no net heless deter min able r ec ipr o cally  in  thediff e r ential  relation  ( d y/dx), which ( i i i)  def i nes their compl e te determinationas a s in g ul a r  po int  (values o fdy an d  dx). F o rL a u tma n , the conditi ons of a pr o ble m areco nst i tutedby th en oma dic and vir tual  distribu tion o f  theses ingular  point s,and  the so lu tio na ppe a rs  on l y w ith thein te gralcurv e s t hatcon stit ute t he actualizat ion  ofc ert ain s ingul arit ie s. De leuzethusde fi nes the prob lema tic struc tur eofan  Idea as anint ern al mult iplicit y , a  s y s t em  of multiple, nonl oc a l iz able con nectio n sbe t ween dif fere ntia l eleme nts, in  which d iff er e nc eis rela te d to d if f e ren ce th r ough  difference.Th eg enesis takes p l ace in time,n ot b et w eenone  actual ter m an d  ano ther ,  b utb etwee n the  v i rt u al and its actualiz at ion, t hat i s, it goes fr om the con d i t ion of t he p r ob l em to cases of  solu tion, from the diff  eren tial ele ments and t heir ide alcon nec tio n s  t o the actualt e rmsan d diver sereal re lat ion s t hat  c onstitute  the act ua li ty  o f t ime.W hereas K an tia nIde as ar e  unify ing a nd c on di t ion ing, De l eu z i an I de as  are  di ff  eren tial and  geneti c. Perhap s D e leuz e' smost fa mous – and mo st  misunders to od– conc e p t is tha t of the virtual, which has not hin g todo w ith an al ter nate o r t r anscen dent r ealit y(as i n the n ot ion  o f "virtual r eal ity") .Rath er, itis a concept Deleu z e u tilizes in or der  tod e si gna t et hemo d als t atus of problem atic Ideas ,a nd  which hes yst em aticall y contr astsw ith the  conceptof the po ss ible : anIdea is no t a locu s of poss i bilit i es , but  afi eld  o f v irtua lities .  We  tend  to th in k of t he po ss ible assomehow "preexisting" t he rea l, an d w e think o f t h e r eal as so meth ing more t han  th e pos sib l e, th at i s ,ast he po ssib l e with ex i st enc e ad ded to it.B u t  th e dra wba c k of t hisconception of the possible is th at t h e  id ent i ty o fa thing is alr ead yg i ven in t he  concept, a nd simpl yh as ex istenc e adde d to it w he n  it is  "in sta ntiated"or"r e alized. "Th is pro cess  o f real izatio n , De l e uze suggests, is  subj e c t tot worules :resembl a nce(the realresembles t he pos sibi litythat it  r ealize s)an d limitati o n (in the  proc ess ofre aliz ati on, so me p o s sibil itie sare  repulsed o rt hw ar t ed,  whi le ot he rs " pass" int o  the rea l). 
leuze defi_nes the_three moments of the_Idea in_a_purely intrinsic_and_diff erential manner:_(i) it implies_elements that in themselves_are completely undetermined_(dx,_dy); (ii) these elements are nonetheless determinable reciprocally in the diff erential relation (dy/dx),_which_(iii) defi_nes_their_complete determination as a singular_point (values of dy and_dx). For_Lautman, the conditions of a problem are constituted_by_the nomadic and_virtual distribution of these singular points, and the solution_appears only with the integral curves_that constitute the_actualization_of_certain singularities. Deleuze thus_defi nes the problematic structure of_an Idea as an internal multiplicity,_a system of multiple, nonlocalizable connections between_diff erential elements, in which diff_erence is related to diff_erence through_diff erence. Th e genesis_takes place in_time, not_between one actual_term and another, but between the_virtual and its_actualization, that is, it goes from_the_condition of the_problem_to_cases of_solution, from the_diff_erential elements_and_their ideal connections to the actual_terms_and diverse real relations that constitute the_actuality of time. Whereas_Kantian_Ideas are unifying and_conditioning, Deleuzian Ideas are diff_erential and genetic. Perhaps Deleuze's most_famous –_and most_misunderstood – concept is that of the virtual, which has nothing_to do with an alternate or_transcendent reality (as in_the notion_of_"virtual reality"). Rather,_it_is a_concept Deleuze utilizes in order to designate_the modal_status of problematic Ideas, and which_he systematically contrasts with_the_concept of the possible: an Idea_is not a locus of possibilities,_but a fi eld of_virtualities._We_tend to think of the_possible as somehow "preexisting" the real,_and we think_of the real as something more than_the_possible, that is, as the possible_with_existence added to it. But the_drawback_of_this conception of the possible_is that the identity of a_thing is already given in the concept, and simply_has existence added_to it when it is_"instantiated"_or_"realized." Th is process of realization, Deleuze suggests, is subject_to two_rules: resemblance (the_real resembles the possibility that it realizes) and limitation (in_the process of realization, some possibilities are_repulsed or thwarted, while others "pass" into the real).