Online Learning

# PhilPhil105Exam2Spring2020

Phil105Exam2Spring2020Name:__________________________Forthisexam,keepinmindthat:{&}Conjunctionsaretrueifandonlyifbothconjunctsaretrue.{V}Disjunctionsarefalseifandonlyifbothdisjunctsarefalse.{→}Conditionalsarefalseifandonlyiftheantecedentistrueandtheconsequentisfalse.{«}Biconditionalsaretrueifandonlyifbothsidesofthebiconditionalmatchintruthvalue.{~}Negationsaretrueifandonlyifwhatisnegatedisfalse. p q (p→q)
(p&q)      (pVq)  (p«q) ~p T T  T         T           T            T         F T F  F         T            F           F         F F T  F         T            T           F         T F F  F         F            T                  T         T Providetruthtablesforthefollowingsentenceforms,thencirclethetermthatapplies. A B                        ((~AÚB)→A) CONTRADICTION        TAUTOLOGY      CONTINGENCY C D                    ((CÚ~D)Ú(CÚD)) CONTRADICTION          TAUTOLOGY      CONTINGENCY F G                          (F→(GÚ~G)) CONTRADICTION             TAUTOLOGY     CONTINGENCYProvidejointtruthtableforthefollowingpairofsentencesandcirclethephrasethatapplies. A B                 (~A→B)(AÚ~B)       LOGICALLY EQUIVALENT            NOT LOGICALLY EQUIVALENTDeterminewhetherornotthefollowingargumentformsarevalidusingtruthtables(circleone). A B  Premise.(~A«B)                       Conclusion.(BÚA)                           VALID                               INVALID X Y Z   Premise.(X→Y)
Premise.(Y«Z)Conclusion.(Z→X)
VALID           INVALID A B C Premise.(C→A) Premise.(B→A) Premise.(CÚB)   Conclusion.A                                  VALID               INVALIDUsingthekey{M:Thematchlights,S:Youstruckthematch}forthefollowingargument,(i)providetheformoftheargument,and(ii)useatruthtabletodeterminewhetherornottheargumentisvalid. Ifyoustrikethematch,thenthematchlights. Youstrikethematchanditdoesn’tlight. M S                          VALID                         INVALIDUsingthekey{O:ObamaisPresident,F:MichelleisFirstLady}forthefollowingargument,(i)providetheform,and(ii)useatruthtabletodeterminewhetherornottheargumentisvalid.P1)MichelleisnottheFirstLady.P2)NeitherisObamaPresident,norisMichelleFirstLady.C)IfMichelleisnottheFirstLady,thenObamaisnotthePresident. F O                              VALID                  INVALIDUsingthekey{R:ourcarwillrun,G:ourcarhasgasoline}forthefollowingargument,(i)providetheform,and(ii)useatruthtabletodeterminewhetherornottheargumentisvalid.P1)Ifourcardoesn’thavegasoline,itwon’trun.P2)Ourcarhasgasoline.C)Ourcarwillrun. G R                                          VALID                           INVALIDUsingthefollowinginterpretation: theeconomyimproves consumersincreaseborrowing consumerspendingfalls unemploymentrises thereisahousingboom taxesareraised governmentspendingincreases stockpriceswillfall morejobswillbecreated interestrateswillriseTranslatethefollowingEnglishsentencesintoSL: Theeconomyimproves,butunemploymentrises. Theeconomyimprovesifbothtaxesaren’traisedandstockpricesdon’tfall. Governmentspendingincreases,andifmorejobsarecreatedthenwilltherebeahousingboom. Consumerspendingdoesnotfalliftheyincreaseborrowing,butunemploymentstillrises. Thereisahousingboomonlyifbothgovernmentspendingandconsumerborrowingincreases. Stockpriceswillfallifandonlyifconsumersdon’tincreaseborrowing.

PhilPhil105Exam2Spring2020