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notes by lessons

by: UkwithMax Notetaker

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UkwithMax Notetaker
UNC
GPA 3.4
Critical Thinking

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lesson5 Categorical Logic
COURSE
Critical Thinking
PROF.
TYPE
Class Notes
PAGES
1
WORDS
CONCEPTS
critical thinking, logic, arguments, philosophy
KARMA
25 ?

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This 1 page Class Notes was uploaded by UkwithMax Notetaker on Saturday May 30, 2015. The Class Notes belongs to 105 at University of North Carolina - Chapel Hill taught by in Summer 2015. Since its upload, it has received 139 views.

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Date Created: 05/30/15
deductive arguments using propositional logic truth table woks ior truthiunctional connectives categorical logic understanding quanti ers a logic oi categories quanti ers all none some only at least Categoria and Ouantiiiers relationship 0 at nnrin 39 39 39 39 39 39 39 omen uant ers mod 0 catego Venn Diagra ries present difierent categories How Ouantiiiers Modify Categ ories o How difierent quanti ers modiiy categories 0 difierent kinds oi quanti ers FG are categories A ALL Fs are Gs quanti er all E NO Fs are Gs quanti er not I SOME Fs are Gs quanti er some 0 SOME Fs are NOT Gs quanti er some not 0 A and O are the negations oi each other a land E are the negations oi each other 0 How 39 39 39 it man o Anegation oi O enn Diagram for ALL F5 are G o E negation oi I a I negation oi E o O negation oi A Immediate Categorical lnierences a kind of argument 0 Immediate Categorical lnierences an inierence with just 11 premise in which both the premise and the conclusion are to the iorm A E I or quot oiiormAElO 39 39 term 39 o Eject term theonly one modi ed by the quanti er in a proposition 0 predicate term the one NOT modi ed by the quanti er subjectpredicate 0 conversion the most common example oi immediate categorical inierence 39 39 39 th rm Ineinn 39 39 a mat occur in the premise 39 39 are in the same AEIO iorm o v H n k I Some Fs are Gs Some Gs are Fs E No Fs are Gs No Gs are Fs o EXERCISE 39 wuicuu 39 39 39 D All otters are quotable no otters are quotable D is not correct quot 39 39 wim quot If there were no otters then quot would be true 39 not quotable and quot 39 b t 39 1 otters Syllogisms o sylliogis an argument with two premises majorminor and one conclusion where all 3 propositions are oithe AEIO iorm Mject term oisyllogism subject term oithe conclusion predicate term oi sy gis predicate term oithe conclusion milpremise one oithe premises that contain the same predicate term as conclusion there must be one minor premise one oi 39 39 i39 be one v m magmm Categories Individuals and Language 0 not all AEIO iorms 39 39 theses Venn Diagrams using on ordinary statement Venn Diagrams and Validity use 39 e ye i we 39 39 39 r 0 put ordinary argument into categories arguments valid because oi iorms bot subjects ERGSE mummwmemwmmommmmnmw nww mmmwuummnunmmm e wmmnxnmimmum mammmm munhnwwmm mhmmlmwnalarmcam hm mums Annmmmummmmm m mm mm new mum sumism Mmenmwmmmsmmaximums ummmmwmmammlmmmrmmm amwmmm alummus sbymumgmsinnnimummaummntmmmmmmemmn mnm mailmantinglin msmmnwmtmmlmmmsmmmm m WMEsmewimthmm Emitmamanmwlammmamo39r IomL mmnhmmwirmmmu nmuimmcwmemInmmmimmmwmxlim SimmmviA unmclEHDWm Considertns algilnem All pam are fun Thuetore all non tun events are not parties PARHES FUN Evsms muss mu svems A B PARYIEs run EVENYS muss run svems D C PARTIES run EVENTS Mmm 1 Other ways of exprasing AEIO propos on A ALL Fs are Gs No Fs are not Gs E NO Fs are Gs All Fs are not Gs I SOME Fs are Gs 0 SOME Fs are NOT Gs Not all Fs are Gs Some Fs are both Gs and Hs consistency of AEIO statements A E I 0 A consistent consistent consistent inconsistent E consistent consistent inconsistent consistent I consistent inconsistent consistent consistent 0 inconsistent consistent consistent consistent

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