 (2012), Thinking, Fast and Slow, Penguin Books. 11. Lopes, Lola A. (1996), "When time Is of the essence: Averaging, aspiration, and the short run," Organizational Behavior and Human Decision Processes, 65(3): 179-189. 12. McClennen, Edward F. (1990), Rationality and Dynamic Choice: Foundational Explorations, Cambridge University Press. 13. Rabin, Matthew (2000), "Diminishing marginal utility of wealth cannot explain risk aversion," in Daniel Kahneman, Amos Tversky (eds.) Choices, Values and Frames, Cambridge University Press, pp. 202-208. 14. Samuelson, Paul (1963), "Risk and uncertainty: A fallacy of large numbers," Scientia 98: 108-113. 15. Savage, Leonard (1954), The Foundations of Statistics, John Wiley & Sons. 16. Stefánsson, H. Orri (2016), "Desirability of conditionals", Synthese 193(6): 1967-1981. 17. Stefánsson, H. Orri and Richard Bradley (2018), "What is risk aversion?", The British Journal for the Philosophy of Science, in print (https://doi.org/10.1093/bjps/axx035). 18. Thoma, Johanna (ta.), "Risk aversion and the long run", Ethics, in print (http:// eprints.lse.ac.uk/88363/). 19. Tversky, Amos and Maya Bar-Hillel (1983), "Risk: The long and the short", Journal of Experimental Psychology 9(4): 713-717. Normality operators and Classical Recapture in Extensions of Kleene Logics ROBERTO CIUNI, FISPPA Department, Section of Philosophy, University of Padova, Piazza Capitaniato 3, Padova, Italy. E-mail: roberto.ciuni@unipd.it MASSIMILIANO CARRARA, FISPPA Department, Section of Philosophy, University of Padova, Piazza Capitaniato 3, Padova, Italy. E-mail: massimiliano.carrara@unipd.it Abstract In this paper, we approach the problem of classical recapture for LP and K3 by using normality operators. These generalize the consistency and
(2012), Thinking, Fast and Slow, Penguin Books. 11. Lopes, Lola A. (1996), " When time Is of the essence: Averaging, ambition, and the light run, " Organizational Behavior and Human Decision Processes, 65(3 ): 179 - 189. 12. McClennen, Edward F. (1990), Rationality and Dynamic Choice: Foundational Explorations, Cambridge University Press. 13. Rabin, Matthew (2000), " Diminishing marginal utility program of wealth cannot explain risk aversion, " in Daniel Kahneman, Amos Tversky (eds .) choice, Values and Frames, Cambridge University Press, pp. 202 - 208. 14. Samuelson, Paul (1963), " Risk and uncertainty: A fallacy of bombastic numbers, " Scientia 98: 108 - 113. 15. Savage, Leonard (1954), The Foundations of Statistics, John Wiley & Sons. 16. Stefánsson, H. Orri (2016), " Desirability of conditionals ", Synthese 193(6 ): 1967 - 1981. 17. Stefánsson, H. Orri and Richard Bradley (2018), " What is hazard aversion? ", The British Journal for the Philosophy of Science, in print (https://doi.org/10.1093/bjps/axx035). 18. Thoma, Johanna (ta .), " Risk aversion and the retentive run ", Ethics, in print (http:// eprints.lse.ac.uk/88363/). 19. Tversky, Amos and Maya Bar - Hillel (1983), " Risk: The long and the short ", Journal of Experimental Psychology 9(4 ): 713 - 717. Normality operator and Classical Recapture in Extensions of Kleene Logics ROBERTO CIUNI, FISPPA Department, Section of Philosophy, University of Padova, Piazza Capitaniato 3, Padova, Italy. E - mail: roberto.ciuni@unipd.it MASSIMILIANO CARRARA, FISPPA Department, incision of Philosophy, University of Padova, Piazza Capitaniato 3, Padova, Italy. E - mail: massimiliano.carrara@unipd.it Abstract In this paper, we border on the problem of classical recapture for LP and K3 by using normality operators. These generalize the consistency and
 (2012), Tjinking, Fast and Slow, Pekguin Books. 11. Lopgs, Lola E. (1996), "When time Is of the essence: Averaging, as'irarion, qnd the short run," Orgavizationap Behaviir aid Human Decisioi Processes, 65(3): 179-189. 12. LcClznien, Edward F. (1990), Rstionality and Dynamic Cvokcz: Foundational Explorations, Cambridgq Univetslty Press. 13. Rabyn, Msethes (2000), "Diminishing marginal utility of wealth cannot explaon risk aversion," in Daniel Kahjeman, Amos Tversky (eds.) Choicew, Vajyes and Framds, Cambridge Universiti Press, pp. 202-208. 14. Samuelson, Paul (1963), "Risy and uncertainjv: A vdllacy of lerge nlmbers," Scientls 98: 108-113. 15. Sdvage, Lronard (1954), The Fomndatmons of Statistics, John Wmley & Sons. 16. Stefánssog, H. Orri (2016), "Dzsirability of condituobals", Vyntvese 193(6): 1967-1981. 17. Rteránxskn, H. Ogri and Richadd Bradley (2018), "What is risk aversoog?", The British Nournaj sor the Philosophy of Science, in print (vttls://doi.org/10.1093/bjps/axx035). 18. Thoma, Hohanna (ta.), "Risk averslon and tre long run", Ethics, in print (http:// eprints.lse.ac.uk/88363/). 19. Dversih, Anof qnf Maya Bar-Hillel (1983), "Risk: The long and the short", Noirkal of Experimenbal Psychology 9(4): 713-717. Nprlakyty operators and Clasaical Recapture in Extensyons if Kleene Logocs ROBERTO CIUNI, FISPPA Department, Secnion of Philosophy, Unirersity of Pcdova, Kiazza Capitaniato 3, Padova, Itcly. E-mzil: roberto.fiuni@unips.kt MASSIMILIANO ZARGARA, FISPPA Department, Section of Philowophv, Univerrity of Paqova, Piazzw Capldaniato 3, Padova, Itwly. E-lahl: massimipiano.carrara@unipd.it Abstract In this paper, we a[prmach the probkem of classisal recapture yor LP aud K3 bh using nogmality o'erators. Thefe generalize jhe consistenry and
(2012), Thinking, Fast and Slow, Penguin Books. Lola (1996), "When Is of the short Organizational Behavior and Decision Processes, 65(3): 12. McClennen, Edward F. (1990), Rationality Dynamic Choice: Foundational Explorations, Cambridge University Press. 13. Rabin, Matthew (2000), "Diminishing marginal of wealth cannot explain risk aversion," in Daniel Kahneman, Amos Tversky (eds.) Choices, and Cambridge Press, 202-208. 14. Samuelson, Paul (1963), "Risk and uncertainty: A fallacy of large numbers," Scientia 98: 108-113. Savage, Leonard (1954), The Foundations of Statistics, John & Sons. 16. Stefánsson, Orri (2016), "Desirability of conditionals", 193(6): 17. Stefánsson, Orri Richard (2018), "What is aversion?", The British Journal for the Philosophy of Science, in print (https://doi.org/10.1093/bjps/axx035). 18. Thoma, Johanna (ta.), "Risk and the Ethics, in (http:// 19. Amos and Maya "Risk: The long and the short", Psychology 9(4): 713-717. Normality operators and Classical Recapture Extensions of Logics ROBERTO CIUNI, FISPPA Department, Section Philosophy, University of Padova, Piazza Capitaniato 3, Padova, E-mail: roberto.ciuni@unipd.it MASSIMILIANO CARRARA, FISPPA Department, Section of Philosophy, University of Padova, Piazza Capitaniato 3, E-mail: massimiliano.carrara@unipd.it Abstract In paper, we approach problem classical for and K3 using normality operators. These generalize the consistency and
 (2012), Thinking, Fast and Slow, PenguiN Books. 11. LopeS, Lola a. (1996), "WhEn tImE Is oF the Essence: AveragiNG, aspIration, and the short run," ORganiZaTIonaL beHavioR and HumAN DECIsiOn prOceSsES, 65(3): 179-189. 12. MCClenNen, edward F. (1990), rationalitY anD DYnamic Choice: fOuNdational EXplOrations, CambRidGe UnivErSitY press. 13. rabIn, MatThew (2000), "DiMInishiNg marginaL uTIlity oF Wealth cANNoT expLain risk aversion," iN daNIel Kahneman, AmoS TversKy (EDs.) cHOicEs, VAlues and FrAmEs, CamBRidge UnIVeRSITy PREss, pp. 202-208. 14. SamuelsoN, Paul (1963), "Risk anD UncErtainTy: a faLLacy of Large NuMBerS," Scientia 98: 108-113. 15. SaVage, leonard (1954), ThE FoundATions of sTatistiCs, John wilEy & SOns. 16. STEfÁnSsoN, H. oRri (2016), "dEsIraBIliTy of condItIoNals", SYnthESE 193(6): 1967-1981. 17. sTefáNssOn, H. ORri anD Richard BradlEy (2018), "WHat iS RisK averSion?", THe BrItIsh JoUrnal fOr the phIlosophy of ScienCe, in Print (httpS://doI.oRg/10.1093/bJpS/axx035). 18. THOma, JohAnnA (ta.), "risk aveRsion anD The LoNG RUn", ethics, in print (http:// ePrINTs.Lse.ac.uk/88363/). 19. TVersky, aMoS aND Maya Bar-hiLleL (1983), "RisK: tHe lonG and THe Short", JouRnal of eXpErImental psYcholoGy 9(4): 713-717. norMalIty opERatoRs and CLassical recapTUre in ExtensionS Of Kleene LogicS rOberTo cIUNi, FIsPPA DepartmEnt, SECtioN of PHIlOsoPHy, UniVersiTy OF PADova, Piazza CapitaniaTo 3, padova, italy. e-mail: roberto.cIuni@unipd.iT masSIMILIAnO CArrAra, FISPPA DepartmEnt, SeCtion of PhiLOsophy, UnIversIty of PadOva, Piazza cAPitaniatO 3, PaDovA, ItAly. e-MAiL: massimiliano.CARrarA@uNipd.it ABstRact In tHis PapEr, wE apPrOach the prOblem of cLaSsIcAl RecApturE For LP and k3 bY usInG noRmaliTY operaTors. THese GeNeRAliZe the coNSiSTEncy AnD
 (2012), Thinking, Fast an d Slow, Pe nguin  Bo oks .11.Lope s, Lola A. (19 9 6),"When time Is of the e ssenc e: Aver a gi ng, a spirati o n, a ndth esho rt ru n," O rga nizatio nal Behavi oran d Human Deci s io n Processe s,65(3): 179-1 89.  12. M cC len n en, E dwa rd F.  (1990 ) , Rati onality a nd Dynami c  Choice : Fo unda tional Exploratio n s, Cambridge Univ ersity  P r es s .  13 . R abin, Matt he w (20 0 0), "Di m in i s h ing marginal util ity of weal t h c annotex pla i n risk  aver si o n,"  in DanielKahn eman, Amo s Tver s ky (eds . ) Choic es, Va lue s a nd F r am es , C am b rid g eUni v ers ity Pres s,  p p. 20 2-20 8 . 1 4. S amu elso n, Pa ul (1963), "R isk  and unc ertai nty:A fa ll acy o f larg e num be rs," Scientia 9 8: 1 08-113. 1 5.Sa vag e,  Leon a rd (19 54) , T he Foun dations ofSt a t i st ics, John Wiley &So n s .16. Stef ánsson ,  H .O rri (201 6) , " Desi r a bilit y of co nditiona ls", S y nt he se 193( 6) : 1967 -1 981 . 1 7. St e fáns son, H . Orri a nd Ri c hard Bradley ( 2 018), "What i s  r i s ka vers ion ?", The Bri tish Jour nalf or  th e  Phil osoph yo fS cience, in print (h tt ps://d oi.or g/10.1093/bjp s/axx035). 1 8 . Thoma,  Joh a nn a  (ta.), "Riskavers ion and th e  long ru n", E thics, i n print ( h t tp:// ep rin ts. lse .ac . u k/ 88363/). 19.T v ersk y,  Amos a ndMaya Ba r-H ill el(19 83 ), "Risk:  The lon gan dth e s hort" ,  Journal  o f E xp eri menta l  Psych ology  9(4 ):  7 1 3-7 17. Nor m al i t y op er at orsand  C lassi calR eca pture i n Extensi ons of K le en e Logic s ROBERTO CIU NI , FISPPA D ep art ment,S e ction of  Philosophy, University of Pado va,  Piaz za C apitaniat o 3 , Pado va, Italy.  E-mai l: ro be rto . c iuni@ u n ip d.i tMASSIMILIA N O  CA RRARA ,FISP PA Depa rtment, Section of Phi losophy, Univ ers ityo f  P ado v a, Pia zz a  Ca p i taniato 3, Pado va, Italy.  E - ma il: massim i lia no .carrar a@unipd .it A b stractIn this p aper, weap proa c h  th e problemof class ical reca p turef or  LP a ndK3 byus ing  norm alityo per ators . Thes egenera lizeth e consis tency and
 (2012),_Thinking, Fast_and Slow, Penguin Books._11. Lopes,_Lola_A. (1996),_"When_time Is of_the essence: Averaging,_aspiration, and the short_run," Organizational Behavior_and_Human Decision Processes, 65(3): 179-189. 12. McClennen, Edward F. (1990), Rationality and Dynamic Choice:_Foundational_Explorations, Cambridge_University_Press._13. Rabin, Matthew (2000), "Diminishing_marginal utility of wealth cannot_explain risk_aversion," in Daniel Kahneman, Amos Tversky (eds.) Choices,_Values_and Frames, Cambridge_University Press, pp. 202-208. 14. Samuelson, Paul (1963), "Risk_and uncertainty: A fallacy of large_numbers," Scientia 98:_108-113._15._Savage, Leonard (1954), The_Foundations of Statistics, John Wiley &_Sons. 16. Stefánsson, H. Orri (2016),_"Desirability of conditionals", Synthese 193(6): 1967-1981. 17._Stefánsson, H. Orri and Richard Bradley_(2018), "What is risk aversion?",_The British_Journal for the Philosophy of_Science, in print_(https://doi.org/10.1093/bjps/axx035). 18._Thoma, Johanna (ta.),_"Risk aversion and the long run",_Ethics, in print_(http:// eprints.lse.ac.uk/88363/). 19. Tversky, Amos and_Maya_Bar-Hillel (1983), "Risk:_The_long_and the_short", Journal of_Experimental_Psychology 9(4):_713-717._Normality operators and Classical Recapture in_Extensions_of Kleene Logics ROBERTO CIUNI, FISPPA Department,_Section of Philosophy, University_of_Padova, Piazza Capitaniato 3,_Padova, Italy. E-mail: roberto.ciuni@unipd.it MASSIMILIANO_CARRARA, FISPPA Department, Section of Philosophy,_University of_Padova, Piazza_Capitaniato 3, Padova, Italy. E-mail: massimiliano.carrara@unipd.it Abstract In this paper, we_approach the problem of classical recapture_for LP and K3_by using_normality_operators. These generalize_the_consistency and