argumentalogica-120913175419-phpapp01.pdf

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7/23/2019 argumentalogica-120913175419-phpapp01.pdf http://slidepdf.com/reader/full/argumentalogica-120913175419-phpapp01pdf 1/20 A RGUMENTAÇÃO  E  L ÓGICA  F ORMAL  JORGE BARBOSA >> 2012-2013 Filosofia

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ARGUMENTAÇÃO E LÓGICA FORMAL 

JORGE BARBOSA >> 2012-2013 Filosofia

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SUMÁRIO

ARGUMENTAÇÃO E LÓGICA FORMAL ! 

Distinção validade/verdade! Formas de inferência válida! Principais falácias

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NOÇÕES GERAIS "

 

Argumento e proposição

Dedução e indução

Forma e conteúdo

" Validade e verdade

1

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DEDUÇÃO E INDUÇÃO

DEDUÇÃO E INDUÇÃO 

!" $%&'"()*+ !"!#$%&'"()" %+,-!. ,$-'(.( (" -'( , !"#$%%&'() -'( $/0%("1//$/ /(2$" 3(%4$4(1%$/ ( $5+)5.'/6+ /(2$ 7$./$8

!" $%&'"()*+ -(!#$%&'"()" %+,-!. ,$-'(.( (" -'( , "+!,$ !"#-$'.'()/ "$/)6+ 1"0+//93(.: -'( $/ 0%("1//$/ /(2$"3(%4$4(1%$/ ( $ 5+)5.'/6+ /(2$ 7$./$8

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DEDUÇÃO E I NDUÇÃO 

;(2$"+/ '" (<("0.+ 4( '" $%&'"()*+!"!#$%&'"()" 3=.14+>

?<("0.+ 4( $%&'"()*+4(4'@3$"()*( 3=.14+

A8  B( *("+/ .13%(C$%D9*%1+: /+"+/ %(/0+)/=3(1/

0(.+ -'( 7$E("+/8

F8  G("+/ .13%(C$%D9*%1+8

∴ B+"+/ %(/0+)/=3(1/ 0(.+ -'( 7$E("+/

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DEDUÇÃO E INDUÇÃO 

?/*( $%&'"()*+ , !"!#$%&'"()" 3=.14+:0+%-'(>

# H 5+)5.'/6+ /(&'( 0(1(%%2-!2"(0,(

4$/ 0%("1//$/>

I '"$ 5+)/(-'J)51$ .K&15$ 4$/0%("1//$/8

3( $/ 0%("1//$/ 7+%(" 3(%4$4(1%$/:()*6+ , $D/+.'*$"()*( &$%$)@4+ -'($ 5+)5.'/6+ *$"D," , 3(%4$4(1%$8 

/0   1" )"'.2 ,-%3"4&356)3-.7

2.'.2 3"28.(2+%"-2

8",. 9#" :&;"'.20

<0   ="'.2 ,-%3"4&356)3-.0

1.'.2 3"28.(2+%"-2

8",. 9#" :&;"'.2

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DEDUÇÃO E INDUÇÃO 

!" $%&'"()*+ !"!#$%&'"()" 3=.14+ #$4( *(% 0%("1//$/ 7$./$/ (L+' 5+)5.'/6+7$./$8H-'1.+ -'( )6+ 0+4( *(% , 0%("1//$/

3(%4$4(1%$/ ( 5+)5.'/6+ 7$./$8/0   1" )"'.2 ,-%3"4&356)3-.7

2.'.2 3"28.(2+%"-2

8",. 9#" :&;"'.20

<0   ="'.2 ,-%3"4&356)3-.0

1.'.2 3"28.(2+%"-2

8",. 9#" :&;"'.2

>#&(!. "2)&'.2 8"3&()" #' &3?#'"().

!"!#$%&'"()" %+,-!.7 " &@"-)&'.2 &2

2#&2 83"'-22&27 (A. 8.!"'.27 8.3)&().7

3"B"-)&3 & 2#& @.(@,#2A.

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DEDUÇÃO E I NDUÇÃO 

;(2$"+/ $&+%$ '" (<("0.+ 4( '"$%&'"()*+ -(!#$%&'"()" 3=.14+>

?<("0.+ 4( $%&'"()*+-(!#$%&'"()" 3=.14+

A8  M/ 56(/ *J" 5+%$N6+ ( *J" %1)/8

F8  M/ .(O(/ *J" 5+%$N6+ ( *J" %1)/8

P8  M/ 5$)&'%'/ *J" 5+%$N6+ ( *J" %1)/8

Q8  M/ 0+"D+/ *J" 5+%$N6+ ( *J" %1)/8

R8  ?*58

S+&+: *+4+/ +/ $)1"$1/ -'( *J" 5+%$N6+*$"D," *J" %1)/8

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DEDUÇÃO E INDUÇÃO 

?/*( $%&'"()*+ (A. C !"!#$%&'"()" 3=.14+: 0+%-'(>

# I 0+//93(. -'( $/ /'$/ 0%("1//$/ /(2$"3(%4$4(1%$/ ( -'(: $1)4$ $//1": *()T$

'"$ 5+)5.'/6+ 7$./$

" 5(%"$ -'( *+4+/ +/ $)1"$1/ 5+"5+%$N6+ +D/(%3$4+/ $*, T+2( *()T$"%1)/: 1//+ )6+ (<5.'1 $ 0+//1D1.14$4( 4((<1/@%(" $.&'%(/ $)1"$1/ 5+"

5+%$N6+ "$/ /(" %1)/8 

A8  M/ 56(/ *J" 5+%$N6+ (

*J" %1)/8F8  M/ .(O(/ *J" 5+%$N6+ (

*J" %1)/8

P8  M/ 5$)&'%'/ *J"5+%$N6+ ( *J" %1)/8

Q8 

M/ 0+"D+/ *J"5+%$N6+ ( *J" %1)/8

R8  ?*58

S+&+: *+4+/ +/ $)1"$1/ -'(*J" 5+%$N6+ *$"D,"*J" %1)/8

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DEDUÇÃO E INDUÇÃO 

U+%,": /( $/ 0%("1//$/ 4(/*( $%&'"()*+7+%(" 3(%4$4(1%$/: , "+!,$ !"#-$'.'()

-'( $ %(/0(@3$ 5+)5.'/6+ /(2$ 7$./$8

I 0+% (/*$ %$E6+ -'( (/*( $%&'"()*+ ,-(!#$%&'"()" 3=.14+8

# M /9"D+.+∴ /K /( '/$ (" $%&'"()*+/4(4'@3+/

A8  M/ 56(/ *J" 5+%$N6+ (

*J" %1)/8F8  M/ .(O(/ *J" 5+%$N6+ (

*J" %1)/8

P8  M/ 5$)&'%'/ *J"5+%$N6+ ( *J" %1)/8

Q8 

M/ 0+"D+/ *J"5+%$N6+ ( *J" %1)/8

R8  ?*58

S+&+: *+4+/ +/ $)1"$1/ -'(*J" 5+%$N6+ *$"D,"*J" %1)/8

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 DEDUÇÃO E INDUÇÃO 

V'" $%&'"()*+ !"!#$%&'"()" 3=.14+(<1/*( '"$ %(.$N6+ 4( -'8,-@&DA. ()*%($/ 0%("1//$/ ( $ 5+)5.'/6+8H/ 0%("1//$/ -'8,-@&' $ 5+)5.'/6+8

V'" $%&'"()*+ -(!#$%&'"()" 3=.14+(<1/*( '"$ %(.$N6+ 4( @.(E3'&DA. ()*%($/ 0%("1//$/ ( $ 5+)5.'/6+8

H/ 0%("1//$/ @.(E3'&' $ 5+)5.'/6+ 5+"'"$ 0%+D$D1.14$4( "'1*+ (.(3$4$8

F#&2 :.3'&2 !" &2

83"'-22&2 &8.-&3"'

& @.(@,#2A.0

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FORMA E CONTEÚDO 

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FORMA E CONTEÚDO

FORMA E CONTEÚDO 

;(2$"+/ 4+1/ $%&'"()*+/ 4(4'@3$"()*(3=.14+/>

A8  B( *("+/ .13%(C$%D9*%1+: /+"+/

%(/0+)/=3(1/ 0(.+ -'( 7$E("+/8F8  G("+/ .13%(C$%D9*%1+8

∴ B+"+/ %(/0+)/=3(1/ 0(.+ -'( 7$E("+/

A8 

B( W+6+ D(D(': *(3( '" $514()*(8F8  W+6+ D(D('8

∴ W+6+ *(3( '" $514()*(8

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FORMA E CONTEÚDO 

V+ -'( %(/0(1*$ $+ @.()"G!.: (/*(/$%&'"()*+/ (" )$4$ /( $//("(.T$">A8  !" 7$.$ 4+ .13%( $%D9*%1+ ( 4$

%(/0+)/$D1.14$4( 0(.$/ )+//$/ $NO(/X

F8 

M +'*%+ %(7(%(C/( Y/ 5+)/(-'J)51$/4$ D(D14$ /+D%( $ 5+)4'N6+8

A8  B( *("+/ .13%(C$%D9*%1+: /+"+/

%(/0+)/=3(1/ 0(.+-'( 7$E("+/8

F8  G("+/ .13%(C$%D9*%1+8

∴ B+"+/%(/0+)/=3(1/ 0(.+ -'(7$E("+/

A8  B( W+6+ D(D(':*(3( '" $514()*(8

F8 

W+6+ D(D('8∴ W+6+ *(3( '"$514()*(8

?"D+%$ + 5+)*(Z4+ /(2$ 417(%()*(:$"D+/ $0%(/()*$" $ "(/"$ :.3'&

,H?-@&IB( U: ()*6+ [8U8∴ [8

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FORMA E CONTEÚDO

FORMA E CONTEÚDO 

;(2$"+/ $&+%$ +'*%+/ 4+1/ $%&'"()*+/4(4'@3$"()*( 3=.14+/>

A8  G+4$/ $/ $NO(/ /6+ $5+)*(51"()*+/8

F8 

G+4+/ +/ $5+)*(51"()*+/ /6+5$'/$4+/ \*J" '"$ 5$'/$]8

∴ G+4$/ $/ $NO(/ /6+ 5$'/$4$/

A8 

G+4+/ +/ $.()*(2$)+/ /6+0+%*'&'(/(/8

F8  G+4+/ +/ 0+%*'&'(/(/ /6+ ('%+0('/8

∴ G+4+/ +/ $.()*(2$)+/ /6+ ('%+0('/8

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FORMA E CONTEÚDO 

!"$ 3(E "$1/: (/*$"+/ 0(%$)*($%&'"()*+/ -'( 417(%(" *+*$."()*( )+5+)*(Z4+: "$/ *J" $ "(/"$ :.3'&

,H?-@&I

A8  G+4+/ +/ H /6+ ^8

F8  G+4+/ +/ ^ /6+ _8

∴ G+4+/ +/ H /6+ _8

A8  G+4$/ $/ $NO(/ /6+$5+)*(51"()*+/8

F8 

G+4+/ +/$5+)*(51"()*+/ /6+5$'/$4+/ \*J" '"$5$'/$]8

∴ G+4$/ $/ $NO(/ /6+

5$'/$4$/

A8  G+4+/ +/$.()*(2$)+/ /6+0+%*'&'(/(/8

F8 

G+4+/ +/0+%*'&'(/(/ /6+('%+0('/8

∴ G+4+/ +/$.()*(2$)+/ /6+

('%+0('/8

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11

FORMA E CONTEÚDO 

U+% -'( %$E6+ , 1"0+%*$)*( 41/@)&'1% +5+)*(Z4+ 4+/ $%&'"()*+/ 0(.$ /'$ 7+%"$.K&15$` 

U+%-'( & %&,-!&!" !"!#$%& !" #(&)*#("+,- !"8"(!" !& 2#& :.3'& ,H?-@&

U$%$ 4(*(%"1)$% /( '" $%&'"()*+ ,

4(4'@3$"()*( 3=.14+: 0+4("+/ 1&)+%$%+ /(' 5+)*(Z4+ ( (<$"1)$% $0()$/ $ /'$7+%"$ 

 6 7$-"2 )89!12 4( +"

2-9+"(0,$ : 2 %+2

(%,-+,+-2 -()('20,( #2-2

2 '2)!424( 4(4+;'2< 

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11

LÓGICA FORMAL 

H ,H?-@& :.3'&, /(%3( 0$%$ 41/@)&'1%"+/$ $%&'"()*$N6+ 4(4'@3$"()*( 3=.14$ 4$1)3=.14$: 5+)/1/@)4+ )+ "2)#!. !& :.3'&

,H?-@& !.2 &3?#'"().20

!"$ :&,+@-& , '" $%&'"()*+ ()&$)$4+%8J#-)&2 :&,+@-&2 2A. &3?#'"().2

-(%+,-!.2 9#" 8.!"' 8&3"@"34(.2

%+,-!.20

H/ 7$.=51$/ 7+%"$1/ /6+ $-'(.$/ -'(%(/'.*$" 4( '"$ 5+)7'/6+ ()*%( 7+%"$/4(4'@3$"()*( 3=.14$/ ( 7+%"$/4(4'@3$"()*( 1)3=.14$/8 

=+204$ 1$"(,("$%

+"2 72).1!2/ >+)92"$%

(%,2- 2 -21!$1!02-

1$--(,2"(0,(/ "2% 02

'(-424( (%,2"$% 2

!01$--(- 0+" (--$ 4(

-21!$1&0!$< 

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 V  ALIDADE E V ERDADE 

H 3$.14$4( %(.$51+)$C/( 5+" $ 3(%4$4(:)$ "(414$ (" -'( '" $%&'"()*+ 3=.14+, $-'(.( (" -'(: /( $/ 0%("1//$/ 7+%("3(%4$4(1%$/: $ 5+)5.'/6+ *$"D," ,

3(%4$4(1%$8 

H 3$.14$4( ( $ 1)3$.14$4( /6+0%+0%1(4$4(/ 4+/ $%&'"()*+/8 

H 3(%4$4( ( $ 7$./14$4( /6+ 0%+0%1(4$4(/4$/ 0%+0+/1NO(/8 

38 +" 2-9+"(0,$ 0$

%(+ ,$4$ #$4( %(-

1$0%!4(-24$ '.)!4$ $+

!0'.)!4$< 

?" 2-9+"(0,$ 0@$ ,("

'2)$- 4( '(-424(A

./ &0 1)-1-0234"051)"(200&0 " 6-+67#08-9

 1-!"( 0")

6-+02!")&!&0

%")!&!"2)&0 -# :&70&0;

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ARGUMENTAÇÃO

 E L

ÓGICA F

ORMAL 

JORGE BARBOSA >> 2012-2013 Filosofia

V6+ /( (/-'(N$ 4(7$E(% +/ (<(%5951+/)+ a"++4.(b8