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43,50442/venn.rel
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xx mud g&i\`c\TRUE PHILOSOPHERS CONFIRMED SKEPTICS SUCCESSFUL LOGICIANSSENSUOUS W OMEN SENSUOUS MEN WASHINGTON POLITICIANS DISCO DANCERS RAVING IDIOTS ABSENT-MINDED P ROFESSORS GOOD LOVERS TOMATO FONDLERSCANDID PHOTOGRAPHERSPATIO GARDENERSWEE-HOUR SNACKE RS BIG SPENDERS MATCHSTICK GAMBLERS SEX OBJECTS MIDNIGHT MARAUDERS MORNING-AFTER B RAGGERS BACKSEAT DRIVERS FREE LOADERS BATHTUB SAILORSMASSAGE ARTISTSCOLLEGE GRADUAT ES SELF-STYLED EXPERTS PARTY POOPERS GARBAGE PICKERSUNSUNG HEROES INCURABLE DREAMERS BATHROOM POETS COMPULSIVE < 8 LIARS MEXICAN DENTISTS TOOTH FAIRIES FAST-FOOD JUNKIES DEADLY RIVALS CROP DUSTERS STREET PEDDLERSWILLING PRISONERS STRANGE BEDFELLOWS PEEPHOLE PERVERTS STAND -UP COMICSREADY ROMANCERSLIVING THINGS CELLULAR ORGANISMS MORTAL THINGS CHROMOSOMAL CRE ATURES BIOLOGICAL ENTITIES BUNDLES OF PROTOPLASM FORMS OF LIFE HOMOSAPIENS RATIO NAL BEINGSPROMISE MAKERS CONSCIOUS BEINGS HUMAN BEINGS PERSONS POLITICAL ANIMALS FEATHERLESS BIPEDS WORLD BANK DIRECTORSMULTIBILLIONAIRES NOBEL LAUREATESOLYMPIC GOLD ME DALISTS SOVIET CHESS CHAMPIONS LUNAR EXPLORERSFORMER US < sPRESIDENTSFIVE-YEAR-OLD BOYS FIVE-YEAR-OLD GIRLS AFRICAN HEADS OF STATE Negative p remises Undistributed middle+ Conclusion, - major + Conclusion, - minor - Conclusi on, + premises Illicit major Illicit minor Existential fallacy . BLANKS ? A E I O Faulty type specification for proposition ? 1 2 3 4 Figure value (last item) other than 1, 2, 3, 4 or ?. Specification too sh ort...something is missing. ? A E I O ? 1 2 3 4 Major Prem ise: 1 3 A All are / ? BM BL ML BB E < /No are / ? LL I Some are ? BB MB LB BM MM LM BL ML Some are not ? MB LB LM LL A All are / ? MB LB LM BB E No are / ? LL I Some are ? BB BM BL MB MM ML LB LM Some are not ? BM BL ML LL Minor Prem ise: 3 4 A All are ? ? / X \ / X \ ? * / / / * * BLANKS ? BLANKS ? BM BL ML BB E No are ? ? / X \ / X \ ? * / / / * * BLANKS ? BLANKS ? LL I Some are / / ? / * / * BB M < jB LB BM MM LM BL ML Some are not / / ? / * / * MB LB LM LL A All are ? ? / X \ \ ? * / / / * * BLANKS ? BLANKS ? MB LB LM BB E No are ? ? / X \ / X \ ? * / / / * * BLANKS ? BLANKS ? LL I Some are / / ? / * / * BB BM BL MB MM ML LB LM Some are not / / ? / * / * BM BL ML LL Conclusion: A All are BM BL ML LL E No are BB BM BL MB MM ML LB LM I Some are LL Some are not < & MB LB LM BB - TRUE Major Premise: 1 3 A All are E No are I Some are Some are not A All are E No are I Some are Some are not TRUE Minor Premise: 3 4 A All are E No are I Some are Some are not A All are E No are I Some are Some are not FALSE Conclusion: A All are E No are I Some are Some are not 1 AAA B(a)rb(a)r(a) EAE C(e)l(a)r(e)nt AII D(a)r(i)(i) EIO F(e)r(i)(o)que AAI none givenEAO none given2 EAE C(e)s(a)r( e) AEE C(a)m(e)str(e)sEIO F(e)st(i)n(o) AOO B(a)r(o)c( < ao) AEO none givenEAO none given3 IAI D(i)s(a)m(i)s AII D(a)t(i)s(i) OAO B(o)c(a)rd(o) EIO F(e)r(i)s(o)n AAI D(a)r(a)pt(i) EAO F(e)l(a)pt(o)n 4 AEE C(a)m (e)n(e)s IAI D(i)m(a)r(i)s EIO Fr(e)s(i)s(o)n AEO none givenNOTE: The syllogism you are about to see is the SOLE exception to the VENNprogram's parsimonious implementation of the Aristotelian (or existential) viewpoint. If you work through the questions, you will discover why. EAO F(e)s(a)p(o) AAI Br(a)m(a)nt(i)pProgram error: Fallacy flag( ) set TRUE for valid Program error: No fallacy flags set TRUE < for invalid ---------------------------------------------------------------------- ------------------------------------------------------------ FALLACY( ): BLANKS ------------------ MAJOR CLASS: M ! M MINOR CLASS: I ! A MIDDLE CLASS: N ! ---------- J MOOD-FIGURE: O ! O VIEWPOINT: Aristotelian (existential) Boolean (hypothetical) R ! ! R VALID: Yes VALID: No ------------------ LATIN NAME: ! ! ! ! ---------- MIDDLE < X BLANKS ------------------M !1 !5 !2 ! M CONVENTIONS I ! ! ! ! A N ! ---------- ! J '/' = this sector emp ty by Major Premise O ! !4 !7 !6 ! ! O '\' = this sector empty by Minor Premise R ! ! ! ! ! ! R 'X' = this sector empty by BOTH the above ------------------ '?' = this OR adjacent sector MUST have a member !3 ! ' *' = this sector MUST have a member ! ! ---------- Otherw ise, value of sector is 'BLANKS' MIDDLE < (simply due to lack of information) The syllogism is valid only if you can 'read' the conclusion from the diagram just as it is. That is, A both sectors 1 and 4 woul d have to be shaded out. E both sectors 5 and 7 would have to be shaded out. I eithe r sector 5 or 7 would have to contain a '*'. either sector 1 or 4 would have to contain a '*'. Under the Aristotelian (or existential) interpretation, the SUBJECT class of each ' A' and 'E' (universal) premise is assumed to have at least one member. (Some logicians assume that each class mentioned--three in all--must have me < Ombers, but the stingy VENN program refuses to multiply entities beyond necessity. Un der the Boolean (or hypothetical) viewpoint, even this stingy assumption about the subject class of 'A' and 'E' premisesis void. Of course, it makes no difference which interpreta tion you selectin the case of 'I' and 'O' (particular) premises since 'some' forces us to assume that their subject classes have at least one member. The figure of a syllogism is determined by the spatial arrangement of the two occurrences of the MIDDLE term ('X') in the premises: -1- < -2- X Major Major X Minor X Minor X ----------- ---------- -3- -4- X Major Major X X Minor X Minor ---------- ----------- TTY WIDTH reset to 80 by program. VENN Version 1 (c) copyright 1977 by its author, Dr. Walter Maner , Department of Philosophy, Old Dominion University, Norfolk, VA 23508. TEL: (804) 489-6 517 Use of VENN implies an agreement to report all modifica < Ftions and any program errors directly to the author.NOTE: Typing a capital 'H' ge ts help, if any is available. Default answers (if any) appear between slash marks, e.g.,'/yes/'. If just the RETURN key is pushed, the program will use the de fault value indicated. If not it will use the value you supply after the final ':'. Need to review the description of this program ('yes' or 'no')? yes Huh? This program wi ll generate new (standard) syllogisms for you for aslong as you want to work at analy zing them. There are 256 formallydistinct syllogisms and < (in this program) so many novel combinationsof terms for each of these 256 that th e chance that you will get twosyllogisms alike in two successive generations approaches ze ro. Sincemost of these 256 basic forms are invalid and since the programchooses at random from these forms (or a subset thereof), you must beskeptical of the arguments pro duced. As a rule, the chance of gettinga valid syllogism under the Aristotelian interpret ation is about 1 in11 while, under the tighter Boolean interpretation, it shrinks to near 1 in 17. (You'll get to choose which interpretation the pro < =gram is touse.) When you have correctly answered all the questions posed by theprogr am regarding a syllogism, the program will proceed to draw theVenn diagram for the syll ogism and print out a table of relevant data.At this point you can either work through the same syllogism again orhave the program generate a new one (or quit). Instead of answer ing aquestion, you can type 'H' for help. A program clock will keep trackof how long it takes you to work through a given series of questions.You'll probably enjoy trying to bes t your own record. Of course, youcan skip the questions if < y you just want to use VENN to check validity.You can even ask VENN to make up counter examples to his own syllogism!Specify syllogism by MOOD and FIGURE (use '?' as a wild card ): ???-?Response should resemble 'AEI-2','EOE-4', '??E-?', '???-4', 'EII-?', etc. Each statement's type (A,E,I, O or ?), followed by figure (1,2,3, 4 or ?). Suggest a label (for the MAJOR class): ? Too long...try again Any general category term not beginning with 'H' will work. h And another label (for the MINOR class): ? Too long...try again Any general category term not beginning with 'H' will work. < 4h And one more (for the MIDDLE class): ? Too long...try again Any general cat egory term not beginning with 'H' will work. h Aristotelian interpretation ('yes' or 'n o')? yes Huh? Type 'H' for help. Want to skip the question routine ('yes' or 'no')? no Huh? Type 'H' for help. If you say 'yes', the program will generate the Venn diagram immediately. Here we go...the clock is running. Good luck! MOOD of this syllogism: No. Try again or type 'H' for help. A 3-letter word giving the type of each propositio n in turn e.g., 'AEI' Right! Figure: No. Try again < por type 'H' for help. Right! Venn diagram, sector 1, will contain (/, \, X, ?, * or BLANKS): BLANKS Wrong. Type 'H' for help. Right! Sector 2 will contain (/, \, X, ?, * or BLANKS): BLANKS Wrong. Type 'H' for help. Right! Sector 3 will c ontain (/, \, X, ?, * or BLANKS): BLANKS Wrong. Type 'H' for help. Right! Secto r 4 will contain (/, \, X, ?, * or BLANKS): BLANKS Wrong. Type 'H' for help. Right ! Sector 5 will contain (/, \, X, ?, * or BLANKS): BLANKS Wrong. Type 'H' for help . Right! Sector 6 will contain (/, \, X, ?, * or BLANK < +S): BLANKS Wrong. Type 'H' for help. Right! Sector 7 will contain (/, \, X , ?, * or BLANKS): BLANKS Wrong. Type 'H' for help. Right! Now study the syllog ism and the complete Venn diagram carefully in order to decide whether the syllogism is v alid or invalid: YES NO Is it valid ('yes' or 'no')? no Wrong. Shame on you! Tr y again or type 'H' for help. Right! From these same two premises, i.e.,we can validly deduce the following conclusions: \ \ / X Conclusion: All are / / \ X Conclusion: All are \ / X \ / < gX Conclusion: No are . Conclusion: No are . * * Conclusion : Some are . Conclusion: Some are . * * Conclusion: Some are not . * * Conclusion: Some are not . NONE!No other v alid deductions are possible. You will have about 45 seconds to verify this for yourself b y referring again to the Venn diagram: Now let's determine which fallacies were comm ittedby evaluating the following TRUE/FALSE questions... T F (1) Both premises ne gative ('T' or 'F'): F No. Right! T F (2) N < "either premise distributes middle term ('T' or 'F'): F No. Try again or type 'H ' for help. '..distributes..' = '..refers to ALL members of the class named by..' Right ! T F (3) Positive conclusion from negative Major Premise ('T' or 'F'): F No. Try again or type 'H' for help. 'A' and 'I' are positive (affirmative) while 'E' a nd 'O' are negative.Right! T F (4) Positive conclusion from negative Minor Premis e ('T' or 'F'): F No. Try again or type 'H' for help. 'A' and 'I' are positive (affirmative) while 'E' and 'O' are negative.Right! T < ^F (5) Negative conclusion from all positive premises ('T' or 'F'): F No. Right ! T F (6) Conclusion distributes MAJOR term but Major Premise doesn't ('T' or 'F' ): F No. Try again or type 'H' for help. '..distributes..' = '..refers to ALL mem bers of the class named by..' Right! T F (7) Conclusion distributes MINOR term bu t Minor Premise doesn't ('T' or 'F'): F No. Try again or type 'H' for help. '..di stributes..' = '..refers to ALL members of the class named by..' Right! T F (8) B oth premises universal, yet conclusion is particular ('T' or <
'F'): F No. Right! You worked through these questions in seconds. Now i t's time to summarize our findings:Want VENN to try to make up a counterexample ('yes' or 'no')? yes Huh? Type 'H' for help. A syllogism of the same form with true premises an d a false conclusion. You must be kidding. It can't be done. After tries, of which almost succeeded, VENN ran out of ideas and gave up.VENN can't think of another one. S orry.The original syllogism was: VENN proposes this as a counterexample: Want VENN to tr y to make up another counterexample ('yes' or 'no')? no
UHuh? Want to stop ('yes' or 'no')? no Huh? Type 'H' for help. 'No' will end execut ion of the program. Different syllogism this time ('yes' or 'no')? yes Huh? Type 'H' for help. 'No' repeats the cycle on the current syllogism. iJm| X
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