Class Note for PHIL 110 at UMass(6)
Class Note for PHIL 110 at UMass(6)
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This 11 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Massachusetts taught by a professor in Fall. Since its upload, it has received 20 views.
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Date Created: 02/06/15
INTRO LOGIC DAY 07 EXAM 1 Thursday in class Office Hours Wed 1230 230 Thu 1100 1240 363 Bartlett 1 Validity and Invalidity 8 argument forms 5 points each 2 Translations in SL 12 translations 5 points each Exam 1 page 1 INTRO LOGIC EXAM 1 a DNAME FARr 1 15 pts eacm in me fulluwmg Wu are gven sexmi argummt Tums ur semenuai Inga where me pramses are separated by and the cundusmn 15 marked by in each use mdlmle mlhebuxwhetherlhe argument furmIs VALID IV m INVALID In I mthrtables are optional not graded 5 ET T T T T T T 39T F F T T F T F T T F F T F you will be given space to do truthtables T but these will not be graded T T F I only your nal answer WIll be graded r E F F 7 T T T T T T T T T F T F T F I F F T F T F T i T F F F F F F F F a V T T T T i T T T T F T T T F T T F T T T F T F 1 Exam 1 page 2 PART 2 5 pts Earn Using the suggested abbremahuns me Epllahzedvmrds translate my arms fulluwmgmtu me language ufsemmual lug WRI39I39E on Lv vouR FINAL FoRMuLA aELaw no ALL OTHER woRK on SCRAP PAPER I 2 7 only the final symbolization will be graded do intermediate work on scratchpaper byo 7 z partial credit will be given as appropriate 9 In TRANSLATIONS IN SENTENTIAL LOGIC 3 Complex Statements Step by Step Procedure Identify the simple atomic statements abbreviate them by upper case letters Identify all the connectives Which are standard Which are nonstandard Rewrite the sentence replacing the simple statements by their abbreviations Retain internal punctuation Identity the major connective Notice commasl If the major connective is standard symbolize it otherwise paraphrase it and repeat 4 Work on the constituent formulas resulting from 5 go to 4 Substitute constituents back into overall formula Translate the formula back into English and compare it with original sentence Example 1 if neither JAY nor KAY is working then we will go on VACATION 1 simple sentences J Jay is working K Kay is working V we go on vacation 2 connectives ifthen standard neithernor nonstandard Example 1 b 3 first formula if neither J nor K then V 4 main connective if neither J nor K then V 5 standard or nonstandard standard so we symbolize it neither J nor K gt V Example 1 c work on constituents neitherJ nor K gt V not J and not K J amp K substitute constituents J amp K gt V translate formula back into English if Jay is not working and Kay is not working then we will go on vacation Example 2 unless the exam is EASY lwill PASS only ifl STUDY 1 simple sentences E the exam is easy P I pass S I study 2 connectives unless nonstandard only if nonstandard 10 Example 2 b first formula unless E P only if 8 main connective unless E P only ifS standard or nonstandard nonstandard so we paraphrase it unless if not if not E then P only ifS 11 Example 2 c 4 5 6 if not E then P only if 8 main connective if not E then P only if S standard or nonstandard standard so we symbolize it notE gt PonlyifS work on constituents notE gt PonlyifS E nmPWndS if not S then not P SP 12 Example 2 d 7 Substitute constituents E gt S gt P 8 Translate formula back into English if the exam is not easy then if I do not study then lwill not pass Example 3 ifl am HAPPY only ifl am DRUNK then I am not HAPPY unless I am DRUNK simple sentences H I am happy D I am drunk 2 connectives ifthen standard only if nonstandard not standard unless nonstandard Example 3 b first formula if H only if D then notH unless D main connective if H only if D then notH unless D standard or nonstandard standard so we symbolize it H only if D gt notH unless D 15 Example 3 c 6 Work on constituents H only if D gt notH unless D notHifnotD if not D then not H D gt H H only if D gt notH unless D notH if not D if notD then not H D gt H 16 Example 3 d Substitute constituents D gtH gt D gtH Translate formula back into English IF if lam not drunk then I am not happy THEN if lam not drunk then I am not happy Example 4 ifl CONCENTRATE well only ifl am ALERT then provided I am WISE lwill not FLY an airplane unless I am SOBER simple sentences C concentrate well A I am alert W I am wise F I fly an airplane S I am sober connectives ifthen standard only if nonstandard provided nonstandard not standard unless nonstandard Example 4 b 3 rst formula if C only if A then provided W not F unless S 4 main connective if C only ifA then provided W not F unless S 5 standard or nonstandard standard so we symbolize it C only ifA gt provided W not F unless S 19 Example 4 c 6a work on first constituent antecedent C only ifA a provided W notF unless S notCifnotA if not A then notC A gt C 20 1O Example 4 d 6b work on second constituent consequent C only if A a provided W notF unless S main connective provided W notF unless S paraphrase if W then notF unless S W a not F unless S W a notFifnotS W a if not S then not F W a S a F 21 Example 4 e 7 substitute constituents A 9C gtVV Sa FH 8 Translate formula back into English IF ifl am not alert then I do not concentrate well THEN ifl am wise then ifl am not sober then I will not fly an airplane 22 11
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