ࡱ> bd  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`afghijklmnopqrstuvwxyz{|}~RdO)McPowerPoint Document(;SummaryInformation(eZDocumentSummaryInformation8,2( / 0DArialngsRoma@10DTimes New Roman@10 DWingdingsRoman@10 ` .  @n?" dd@  @@``  X     // 0AA@8ʚ;ʚ;g4adadH0ppp@ <4dddd%gʚ; <4!d!d%ʚ;<4BdBd%ʚ;x___PPT10h    ___PPT9fn3n)/ypf}I[ePNG  IHDR asRGB`PLTEkjjjUU@@@??@??+++**+**#g cmPPJCmp07128I tRNS@fAIDAT 0 ~{[8([Pz2S82(\dXP< zIENDB`0n&WvlHMU+vnPNG  IHDR asRGB`PLTEkjjkjjUUTU@@@??@++*+**M#A cmPPJCmp07128I tRNS@f>IDAT1W}{{J %s4!u61QJuRW&x&vxIENDB` ne!(mPɈPNG  IHDRysRGBPLTEffffffff̙̙O) cmPPJCmp0712 jtRNS ADIDATcP, SVA%6AC!P.iuD!".l`)SbPbL@]KIENDB`    h___PPT2001D<4X___PPTMac11@f   hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography      hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography     hnamd` Arial&Monotype Typography ? %fWrite_What is a condition? What does it mean for there to be conditions on something? Give examples.NQ %   Related ConditionalsTuesday 20 May 2008The PlanM: Transformations T: Conditionals W:Inductive and Deductive Reasoning R: Practice / Assessment F: Half-Day Next Week: Course Review Following Week: Project Steamertrunk Then: Exams and GatewaysZ   !  $$((%,,00P"T  Conditional Statements] IF you grow a moustache, THEN you will look awesome. IF: the condition THEN: the conclusion<6'6'Hidden Conditionals  We ll go to the store if you mow the lawn.  All people from New York are rude. VWRelated Conditionalsd The Inverse: NOT The Converse: switch condition and conclusion The Contrapositive: NOT and switch2dZF The Inverse of a ConditionalOriginal Statement: IF you have a moustache, THEN you look awesome. The Inverse: IF YOU DO NOT HAVE A MOUSTACHE, THEN YOU DO NOT LOOK AWESOME.:S>0>   The Converse of a ConditionalOriginal Statement: IF you have a moustache, THEN you look awesome. The Inverse: IF YOU LOOK AWESOME, THEN YOU HAVE A MOUSTACHE.:S000   #The Contrapositive of a Conditional$$(Original Statement: IF you have a moustache, THEN you look awesome. The Contrapositive: IF YOU DO NOT LOOK AWESOME, THEN YOU DO NOT HAVE A MOUSTACHE.:Z>0>  J@  You TryIf you eat a bagel, then you will be happy. If you are Mr. Quinn, then you have a moustache. No one from North Berwick is good at tennis.  CounterexampleA counterexample is a piece of evidence indicating that a statement is false.  If it is Monday, we have school. Counterexample: Memorial day Logic is demanding: A single counterexample makes a statement completely false!>Z<Z3    In GroupsMake up 3 pretty easy true conditionals. Chart them. For each, write the inverse, converse, and contrapositive. Mark next to each of the related conditionals whether it is always true.b)   xaL Logical EquivalenceTwo statements are logically equivalent if when one is true, the other is true, and when one is false, the other is false. A statements and its contrapositive are logically equivalent. That is, they always have the same truth value.fZ0Z}  # K Try SomeGive a counterexample for the inverse and converse, and show that the contrapositive is equivalent. If your TV is on, then it is difficult to do homework. If Carol skips school, then she misses the test. People who drink too much coffee are bad drivers.BeP  FSummary: ConditionalsDescribe situation where an outcome will follow if a situation is true. Inverse: NOT Converse: switch Contrapositive: both NOT and switch Contrapositive is logically = to originalZ,g7 0` flf3` 3f{FEɄ` OY?HsLp` nk3cR` Td4HV,{nR|:U^` N/qTʉ` ̙Ԝν@f` xfmR׍Ƴ~` [4>?" dd@,?lZd@  d lZ@ d`lZ n?" dd@   @@``PT $   @ ` `0p>> 11..L 1(  LB,T  L " L c BlC DE F* @ y   l l y y @`" ~  L c BC DE F*y @ [    [ [ @`"~  L c BCDEF" @ @`"i ( L c BCBDEF"@ B<0BB@`" ~: L  0e0e     ?BCIDEF"  @ 5% 8c8c     ?1 d0u0@Ty2 NP'p<'p A)BCD|E||IMkII@`S" L BCeDEF" 0e00@`"v~  L B]CDEF ]]] @`"#~   L c B'C\DEF& @ \7\'*'\\@`"#  L B CDEF"  @`"1  L c B}CzDEF"d @ }~}z}~}~@`"~  L BCDEF  @`"O ~?  L c BCDEF"y @ HHH@`"U  L c BC>DEF"d@ >86>>@`" ~'  L c BCDEF" @ V@`"  L c B[ C DEF"y @ I [ f@`"M  L c BCC+DEF"yd @ C+CC+C+@`"; ~  L BCODEF" O`ZOO@`"e ~k  L c B2 Cx DEF"vy @  x 2  @`" v  L BCDEF  @`" ~j  L c B C DEF"y @  B@`"(   L  0e0e     ?BC DEF"  @ 5% 8c8c     ?1 d0u0@Ty2 NP'p<'p A)BCD|E||  =@`S" 6  L c BTC`DEF"yd @ T`TZ T`T`@`"* ~  L BCDEF" M@`"R~V L c B>CDEF" @ >S@`"0 L c BUCDEF" @ U@`"#x L B<C8DEF" <8<6@`"B~ L c BlCHDEF"y @ slHl*ss@`"Az  L BCDEF  @`"z   L c BlC9DEF"y @ nl9l3nn@`"hz   L c BlCDEF" @ 0ll00@`"i z !L c B`Ci DEF"|y @ `i `Q }@`"zi  "L c B| C6 DEF"y @ | 6 | 0 B@`" z6   #L c BC DEF& @  @`"nz  $L c BCDEF"y @ *@`"z %L c B"CDEF"y @ ""6@`"Vz &L c BCDEF"y @ *@`"uz\ `~  'L "`~   (L c BKC!DEF& @ n3!?K@`"`V   )L c B9CDEF&d @ 9 H999@`"> ~  *L 6 " ` 0 T Click to edit Master title style! !$ +L 0 " ` 0 RClick to edit Master text styles Second level Third level Fourth level Fifth level!     S ,L 6 #" `] `} 0 @*  -L 6p #" ``  0 B*  .L 6 #" `] `} 0 B* Z L By޽h @ ? 3f{FEɄ<0___PPT10. ,/___PPT9BpBB Beam1 0 [1S1 ..P0(  PB,T  P " P c BlC DE F* @ y   l l y y @`" ~  P c BC DE F*y @ [    [ [ @`"~  P c BCDEF" @ @`"i ( P c BCBDEF"@ B<0BB@`" ~: P  0e0e     ?BCIDEF"  @ 5% 8c8c     ?1 d0u0@Ty2 NP'p<'p A)BCD|E||IMkII@`S" P BCeDEF" 0e00@`"v~  P B]CDEF ]]] @`"#~   P c B'C\DEF& @ \7\'*'\\@`"#  P B CDEF"  @`"1  P c B}CzDEF"d @ }~}z}~}~@`"~  P BCDEF  @`"O ~?  P c BCDEF"y @ HHH@`"U  P c BC>DEF"d@ >86>>@`" ~'  P c BCDEF" @ V@`"  P c B[ C DEF"y @ I [ f@`"M  P c BCC+DEF"yd @ C+CC+C+@`"; ~  P BCODEF" O`ZOO@`"e ~k  P c B2 Cx DEF"vy @  x 2  @`" v  P BCDEF  @`" ~j  P c B C DEF"y @  B@`"(   P  0e0e     ?BC DEF"  @ 5% 8c8c     ?1 d0u0@Ty2 NP'p<'p A)BCD|E||  =@`S" 6  P c BTC`DEF"yd @ T`TZ T`T`@`"* ~  P BCDEF" M@`"R~V P c B>CDEF" @ >S@`"0 P c BUCDEF" @ U@`"#x P B<C8DEF" <8<6@`"B~ P c BlCHDEF"y @ slHl*ss@`"Az  P BCDEF  @`"z   P c BlC9DEF"y @ nl9l3nn@`"hz   P c BlCDEF" @ 0ll00@`"i z !P c B`Ci DEF"|y @ `i `Q }@`"zi  "P c B| C6 DEF"y @ | 6 | 0 B@`" z6   #P c BC DEF& @  @`"nz  $P c BCDEF"y @ *@`"z %P c B"CDEF"y @ ""6@`"Vz &P c BCDEF"y @ *@`"uz\ `~  'P "`~   (P c BKC!DEF& @ n3!?K@`"`V   )P c B9CDEF&d @ 9 H999@`"> ~  *P 6% " `p 0 T Click to edit Master title style! ! +P 0) " `   0 W#Click to edit Master subtitle style$ $ ,P 6. #" `] `} 0 @*  -P 64 #" ``  0 B*  .P 6: #" `] `} 0 B* Z P By޽h @ ? 3f{FEɄ80___PPT10. ,/0 P @ 0(   x  c $0.*L `  0 x  c $`+L ` 0 H  0޽h ? 3380___PPT10. ,K*P P*(  x  c $&*P `p 0 r  S `+P `   0 H  0޽h ? 3380___PPT10.PN0 P  X0(  Xx X c $`*L `  0 x X c $O+L ` 0 H X 0޽h ? }ff80___PPT10.u0 P p0(  x  c $Ђ*L `  0 x  c $+L ` 0 H  0޽h ? 3380___PPT10.h0 P 0(  x  c $J*L `  0 x  c $!J+L ` 0 H  0޽h ? 3380___PPT10.0 P  0(   x  c $kJ*L `  0 x  c $lJ+L ` 0 H  0޽h ? 3380___PPT10.0 P $0(  $x $ c $pJ*L `  0 x $ c $J+L ` 0 H $ 0޽h ? 3380___PPT10.`w < P (<(  (~ ( s *J*L `  0 ~ ( s *J+L ` 0 H ( 0޽h ? 3380___PPT10.`w < P ,<(  ,~ , s *"K*L `  0 ~ , s *$K+L ` 0 H , 0޽h ? 3380___PPT10.`w 0 P 00(  0x 0 c $PmK*L `  0 x 0 c $oK+L ` 0 H 0 0޽h ? 3380___PPT10.!0 P @0(  @x @ c $PdL*L `  0 x @ c $pkK+L ` 0 H @ 0޽h ? 3380___PPT10."0hM40 P 40(  4x 4 c $ЅM*L `  0 x 4 c $0N+L ` 0 H 4 0޽h ? 3380___PPT10.!x0 P 80(  8x 8 c $PwN*L `  0 x 8 c $xN+L ` 0 H 8 0޽h ? 3380___PPT10.!@S0 P <0(  <x < c $O*L `  0 x < c $N+L ` 0 H < 0޽h ? 3380___PPT10." 0 P 0D0(  Dx D c $Q*L `  0 x D c $pR+L ` 0 H D 0޽h ? 3380___PPT10."p|cxp^RЀ3ÿ lHbP  @AL G@;b `B&V@#EtoGVYPICTYN HH HH  )l*d/4/4uWXY\]\YZ[UKJQ[\]^_`dkkfaXGHIUccdeZNZfnsggfehkhemp`Xjrprssttuvwvv]Ury^Yv{{||}UQTWXZ][YZ[XNJMX\]^_ ``cjkgaXHGGHIUde ZN[ffggxrhhgejlfe gqnY\qrssotuvyvwmUeykYl{|}UQQRUX[]^]ZYZ[SJKU\]^_`_`acjkha\IHIJTdeffZO]gizpiifefklelrfYgsqrtuvvxxww[VYzwZb||}UQRVXZ\]^[Z[\XMKO[]^_`abjkjc]JHIJSef [O]gghi{oiifeglmmke fpq]ZqstspuvwwywxjVpzd[z}UQSWXYY[]^][Z[\[QKLX]^_`acikjd_LHIJKSfgg[O_hhij|njjfeimnnhe jskYdttursuvwwxxyxwYWb{o\q}~UQUY\^__]Z[\]WLLT^_`_`abillebOIIJKSefgh\P`ik~mjjelnnmfepsbZpuquvvwxxyxyiXYx{^]h}~UQVYZ]^_\[\][PLO\^_`abchlkfbQJKLSfg hh]Q`ijjm~mkjefmnolfe htp\auuvstwxzyywZYn|i_a~UQRSWY[]^^_\[\]^ULNX^^_`abcfklgcTJJKLMMSeghii]Qbjn}mljehopokenuh[mvswxyy{zzgZb|taw~UQRTXYYZ]_]\[[\]^[OMT^_`_`abcdfklieXKLMNRfhi ]Scjkkp|mlifkphf gtt__uvwutxy{{zu\x|ecoUQRSUYZ]_`_]\]^]TMQ\_`abcddflmkf[KLMNSfij ^Sdkklr|nmifmpgflvn]kwtxxyz|{{g]m}pehUQRSWYZZ[^__`^\]^__ZOOX`abcdeflmkf_MLMNOOSeijk_Tflsznnhfoqqofsve_uxxwtyz{|{v_b~yh|UQRTXZ[[]_`aa`^\\]^_^RNT_abcdekmmgbOMMNOOPPTfjkkl_Uflmmtynnhfhqrrlfkwt_gxuxyz{{}||gawmjvUQRSSUY[^`a`^]^_`XOQ]abcdeffjnmhcPNOOPPQQTfjk ll`Vgmnnwwonhglrjgrwk`syyxvz{||}}ucmvmr NN N-NUQRSW[]_`abb_]]^_`]QPYabcdd{eeffnniOPQQRRTeklmaWinywoohgnssrig jxwdfyyzwyz{|}}ief~}op ---؜ @Z@UQRSTWZ\\^`aba_^_`_`aWPU`bbcd[`fdooY3PQQRRSSUflm bWjnoo{vpnghqstqgoxqbqzw{{|}}~~ugvuq{Ze--w@NeUQRSTTUZ\^abcca^_`ab]RR]cd eK`ĒQoTTVelmmn bXjoop}tqngistungwyjeyz{xy|}~}kio{tyÁw@elZݺ-N@n@Ӝ@-UQRSTVZ\\^`bc`_`ab`VRYbccde3M{ׇZrPUUWemn od[kppq~trnhlukhnzwdn{w||}~uk~vwȁؿNNӢʁn@@NNXTQRSTUX\]]^abcddc`_`_`abcc[SVade|`-EbTUVVWfn oopd\mpqrsrmhpuutihvzoex||z{}~~nmwzwɁeNNӜآN@NN@nYYXTQRSTUY]]^`bcdb`abc`VT^dde!ffhik"@RWWXXeno ppe]nqqssslhisvvrh k{{im||}y}}~vory~ˁ@NeNNZ@N-eYZXTRQRSTUV[^^_`cdeeda`abcdc[TYdeef!g4j`{@;TWXXYYepop qf_prrsttlijuwwpis{vhw}}|{~}rq~|{{|ǁNNN-Z@NYYZYUQRSTUVX]^^_cdefdabcd`VW`fg?hZSjJ{XYZZ[epq g_prsuuskinwwxli jz|om}}~|~xsz~||~-N@@N-ZYURSTUVY^__adefecbcdeecZV_ffg!YXhiSbjV jj<