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%!PS-Adobe-2.0 %%Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %%Title: concepts.dvi %%Pages: 26 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentFonts: CMR17 CMR12 CMBX10 CMR10 CMTI10 CMBX12 CMMI10 CMSY10 %%+ CMR8 CMR7 CMSY8 CMMI8 CMSL10 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: /u13/local4/teTeX-1.0/bin/dvips -Ppdf -G0 %+ concepts.dvi %DVIPSParameters: dpi=8000, compressed %DVIPSSource: TeX output 2000.10.31:1036 %%BeginProcSet: tex.pro %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: alt-rule.pro %! % Patch by TVZ % Makes dvips files draw rules with stroke rather than fill. % Makes narrow rules more predictable at low resolutions % after distilling to PDF. % May have unknown consequences for very thick rules. % Tested only with dvips 5.85(k). 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 97 /a put dup 98 /b put readonly def /FontBBox{-24 -250 1110 750}readonly def /UniqueXX 5087383 def currentdict end currentfile eexec 80347982ab3942d930e069a70d0d48311d725e830d1c76fba12e12486e989c98 74c2b527f0925722787027f44470d484262c360cdfdddf3657533a57bb16f730 48bfbbfcb73a650484015441fdc837add94ac8fbd2022e3ec8f115d4b4bb7b7f 15388f22cc6198efe768bd9fceb3446ee4a8dc27d6cd152485384ef5f59381ff da43f2d20c8fb08aa27ab2015b774db10dacfdcd33e60f178c461553146ab427 bdd7da12534ba078ad3d780414930e72218b3075925ce1192f11fc8530fcd5e3 038e3a6a6db2dcfbae3b4653e7e02730314e02b54a1e296d2bef8a79411d9225 dad7b4e6d6f9cf0688b69ba21193bf1495807e7a196cf14c95a4e02f9cd2da8c db2546c6df52e524745992e18d9ff87aa25e4e1800bbe4ebb357c6ef55ed6d03 6d3a00c1ee8073266c21d2f0ac85d656abf61d7e5a4fa87da8ec3b5329e434d0 d2adab706b42a2e5331be5295399d803ccac03f631f01f39a022fcdf63486b68 7d15ef284a77def7fde4898543e7b5f7ec267756103e477f547cfb8d2311c4b0 09deff56085f5d419697af1846c8b88c1bbbae149f0f19ca3c8dafe19cec48fe 6b38357246d8b5cef80b53bab4cbbbe8bc8318cc462a4158258f456e697f6058 86010493f252073ee4e4c9531f23485415ad6bc901bbaea659ef701f825f4b6d 5c9bed0dce7b63810f906b33ea4955531ca1ed1fc120cc56dc1e277a33222cc6 c3a97552607b865783faf0895cbeccd0df54f57bd162a88494768435eda71a39 69718c0c5912d3167bb0971546d733e735aa9bcd89f5aa154656031ab3f6fe41 94ec225ad03ab8b67a9da43ab365c4df17c23e79f685c3b6fd5b654e4a6f2603 6cec3a8641b0b57f93eb95f9e238832aeac2061f3153e0f375513c974f1c38f7 b59edcc94716f2862cf71c9a2be8430985da1cd813b1e1c1b9310564a2eb1aff 52c190f50fc981dccb64bb2c1f7a62c216f211c162c2ed1c554ef49fbaf12b31 aa3b2a80fee259dc0a2a4242869ddec7c29e2941792b28bba7f2c6f77ef69638 12b07d6843f33b51e01c8626b26edc34e1e0fffadede5fb468e8cd5de7e5a64c 366967578f415484d122834de4a647541d66989f7d8b25d1712d8d16729bd9a6 472c2338069b3c63f83a878e9d80592eb2f12293bbae7be9b8d5447be0c2bebc 59890e09153729bb02faaf3d428e7ebec26741b47711e9c0bb12b11e977d7fca 67b2e84f43826c5034f31757b167feb1e6cbd8ab7c4650ed5a03d19b5d8be42a 6124f1aebc4b250804e4f5a85436c78548f239b00988dbf1b637e0cada5c2c0a 9d28b72b0858a2e3287f4ddb3e9662231073d851653f8bd1cafee0801c8c6450 b8b74f641c268900433397b1375f34219d759513024857be8587e7577f74cfeb 77e019ee40eb2b3d7c0fb4e7f3c402b710e28b344230137392f831ace49ff8be 62f8a3fae8ec681bb5b2c628f31833c94759bcf60aadc87d130579c166c53300 b0ec5e4723cd9f4054fdefd65230696ce3025e64b4461117793b99f5a8645f7b ccd4d449dc502e2c06639aadb1c280fef1240b9c32f022caea66c92b955131c3 bf381e5fca0cce3b34b266be7af3243e70f5c9e77586aa0c36f61f16e1b74fe1 3059ebf9baed7e0633ce39663144da6166d1edd2acbc945b1d1932b2badfb3b2 768a4d09e27da0838bd17a5346cd01d9f85a4faeb5185f0e72e5d801b4dc7f2b b324d5bb5a4d7ee448752ffd125a0edc5170fc716ab437cbb05a65bceb17d15a b907af954f5d30c23c1b8da5bc771aab8791e5ea2d32283b304685dea8079542 45fc9f18286e5571d4e0416c8322040218b8f578af945a68b6ce541a3a174c01 d11dea93109d6309ff1c2fea071f105f7229cde1ee815ce9f28a11e2a34d9442 f1ecdf49f29f 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY8 %!PS-AdobeFont-1.1: CMSY8 1.0 %%CreationDate: 1991 Aug 15 07:22:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 48 /prime put readonly def /FontBBox{-30 -955 1185 779}readonly def /UniqueXX 5000818 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bac8ced9b09a275ab231194ecf829352 05826f4e975dcecec72b2cf3a18899ccde1fd935d09d813b096cc6b83cdf4f23 b9a60db41f9976ac333263c908dcefcdbd4c8402ed00a36e7487634d089fd45a f4a38a56a4412c3b0baffaeb717bf0de9ffb7a8460bf475a6718b0c73c571145 d026957276530530a2fbefc6c8f059084178f5ab59e11b66566ca5ba42b1911a 5d7f1bf343015eece988b7a93bce0c7aa61344d48aed9c92c8698d4b7c9951c8 7d103f2414b39e1437f9d2e50c4ee5f218f2e6716926a79ea978f13b1f855345 191dd7d31d8f82c2e3343c7a5894d95bdc492c28226834efcb5c12fea36ac5cc 430e0aa604961e34888adf6c1f3954cbc2498e225d953cf5685852162346f474 5a2a7087d5d7ad486de16d2ca8e15cee26e012671ba3bdc7d95cc8c98bb774f5 08625e968aee27ff7d1a06e63bcfb5aa4876c3f8f13b30ccccee73c3caf4e70d 98e6ed2f422dbb4950bf789680e064150995941a9f4dd68a575949847a7d012b b910bf03a7a227d51386469ec9ef415f3bb849d30411890d8132d574097aab07 0b8dee5dca353955cbc591f85c6f3ce0c50865116e3e82ad0a8bccb4947b0d70 e586a36199c9cbe4fade04bbb09558010b653de979734fb12a012b65437e3a06 b898e4363c1191bd4d6eaad686b3bc38f89697f7187016d148b2af0acb13ba7b bfa10e9bd0e2c8834ac4f4fab93e8172fd9eb0e00c93d057534c2fc2dfa4e92b beb8f33f1b685044467019470184dddc1ea9a16f63df5bf240efc7b3dc53d8f0 8c2c168c317757418ea33ecc81b136a3daf4a7625dbb9dba43d053364b910bae 537fe379b65abf70d6a5de9613fac4 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 25 /pi put dup 58 /period put dup 59 /comma put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 86 /V put dup 87 /W put dup 88 /X put dup 89 /Y put dup 90 /Z put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueXX 5087385 def currentdict end currentfile eexec 80347982ab3942d930e069a70d0d48311d725e830d1c76fba12e12486e989c98 74c2b527f0925722787027f44470d484262c360cdfdddf3657533a57bb16f730 48bfbbfcb73a650484015441fdc837add94ac8fbd2022e3ec8f115d4b4bb7b7f 15388f22cc6198efe768bd9fceb3446ee4a8dc27d6cd152485384ef5f59381ff da43f2d20c8fb08aa27ab2015b774db10dacfdcd33e60f178c461553146ab427 bdd7da12534ba078ad3d780414930da4f8d58abefd45db119b10eb409dd89792 3c6e705479464a4b310b58348c4b42393988fef4925cf984423aaf65fea9f0e6 4629953bcf50b919d968d99bd185f83112b2759cc411764e9bde677f57c5ee5a c555448d5f81a16259ded1e11bf4119d53e8ab07a802df900d3a2d5ccc1c6876 d29c5e9effb7af3ef83400b0910c07873a8c56fa7b1eb1ba426043b00cc95dbe dc6e136cbbbcb3f67509964f9f281ebf81fe5b018122eaf66c4a838487e82e18 6e006093042848a903efb3469ab6b4049767aadb95c30408dfd58d8a10f4cb22 168decd9f3ee100f07b49aa44c92139b669cc312ba20192454eb2375be6284b0 26659d964b96ae82d4942e758027fcf23c25ed01115af27ce7f20efe2a822bb6 84004f20243a49c9e93301fc21b80815c033c3e2ba58ef53da2157d524b395f2 b37abca13bc6a2f42e824ab7e47106176b0d6db267fbb795ac7425582df2e3dc 55863468a9200742bd7b552c48f8cf58bc21343bd3b95abfa140f33f37c6f3f7 8b0d8a5154eb7c1f62ec598267f13e841a3e64172663935ac8b665d86540d316 ddece329c008049c5e74b27d59022c5515059bc3b89370b1bc6a169c888bb325 e0b74282d6f053a50da4024ed1e433271a32ab8c17d41c632b41cf9f3ecd5fe1 24daf7aea7ce8a63047b245822930d517df7baaafa69d2d17f7d93cebd47deb8 5405d720de0bb4dcae731a8e27bdbb6e6be38d168b7daff815acfc32ce367374 bf9fd98c0ae5ba1bccdb84d94b5c173abc92f7d18e19a68f64a2241a0a163910 8dc46b8a04ead17662b7bbff3d3d9a95d5937698573bfac64973dc8d8b8d9f68 c52d0c133119eca4fae72f7553d276c817003234a98337d7c037c0f1bce8a804 57113bcd97515c002d20f836fa086a3277727873ec2b64a92bedb01193491134 b6692a08de4a201a3f11dbe070d797f7629ad487d2b8dbf89a0631956c93864a 402a86afd4b336030c001be1fd1cbade6ae8cdd63b3eac4efe65d5ea9212e5c3 0790cad9cf83e94c5d23b85d57c449f814b642e74c12647b634b1b1b679b44f9 b88bf028e1d8bd0bb5a0f90b2376ff48b621d85caa2e351fefebe6929769dfe6 c55eb1496b2eafc551f09c989d9cd564dcffb3eb258344f86b254bc7d5223012 60ecc1b0f90e0acd6f14c70e9f8c465fc9687cdfa2ef34756902f62d655f7d24 8434e1242c106e65f5a7cfc279692ad98d35319307c03bcda43cfaeafcff5682 c6b609b66cf0b05929d7b6e2e179a1b30c09accac7c5a30ff5b1b9c978f8c0ee 45f8451cba0daca809407dcafd36d2e1582a340a901105455901f8cf8a2f8dcc c2b2f7e65f6895f514dce7bf43743bb42b2a23f9cef4fa32f8be955208f8502d 42b15ea9ddee6d13ffac81eeb078d23351ee88317f515582aec3ec7f3d90a267 f5e5ca07b0fe3245a650426e4c1e00dfc488987628980c088673575107a2a50a 9ee3ae4318477f2d5dde000ead37e1a34bee6039bff67e88977ab70622579a48 36d5b185df78282385f3d1150a613e66d7c7fd6119cbc25908ae35cbf3eda18b a6f91d8a9603561689fa42bb2b03b3901092efbb02506850c3081bca3f42712a 96d4ce6fde3aa1ea9096128409d1f27b8d835c4705807cb8e40cb4ad2ca61d2f 7017d0f45741c6fd8162a9ed6cc556b29acd50aff816fe855764539001c769d5 548da2be5f05805b4a6112697ca6b284c4e86d613907bd1bf89bdcef6644c6d9 adac659c68109085bd96c03be1671604551c59545ac87bbd60cd36e4073903cb ede37a4a497cf579bfbf28aff73e2cc2bc4eaa2075ccff27368a31147eb0b0b8 d2f7eeb859b92b19bef182d43a10cc531402081d1ae5194270ed94d4e4b6dba1 20c84bb21f989e9072d6463a2a54bbce0e639342df2b073f490aaa33caf15f24 2e4a8e103a23e0a4de86ce4e7320085d98d2f5fb0d57d754d72f520c5193f854 a17c54aca7bea4f6c3d76120c7a3c46402e699eb3fedb761a9a923db4141c083 04d5a0550fef0ae467fe2c68f55641ba56b584af308c6524a200f8c75c2c4a19 b528e721cd79017addefe010bcfb3612bf2f3992c3b371790d432580d538c652 f695b462ca421fd189ba186aa5a9a23337f1485695a68d86bd14e5e05b8e7fcc 6dc4f64489e124a02a06be54dbe2bd511aeeb759f5b5ddf7d6e68b5de52b06ba ec6a43e456fc8b9cdf224a6d115fd2c3e0c030b3f54aa5a9be75b4afec6d4370 050addc47ee8c420fd7acf002ae6c13c420f537c485f816471028c9d64038557 99c991d42708765319c57e489e34c406cb269489323bdf06c7a923a885d191b0 90056b446ef6cb94603f8e19284d116f615927f862f668d58199afdabd5f475d 6f42c876896407ee1c4c25d0963121f131b4898c264e475b4a77ee35bad4d107 81d4cc13a19b796cf7b3dc9a7c6f716ba2a206c78df1fc3c63db9bf62908cb58 5ca938c2185d38fca87a789d3b5083fd13f8e2b5150b4aec09d1f101da40f311 f9f2577be9252fe81cd6feb3d4f3eea0a3406f48aa79df79bf168137c18686da 34583c41ac565bcf78232d615eb2bee043503e4baddf03ae159da4181c7f092b 4f1ab1d2f8c7bf5660768b9075c98810dfbbb3c70133efeca6ba528d34369223 80e5b4be5b96e1fe69373ed0102f6e007f37672024b63c9017bfa151e969c02b b93fe1f31dd5ce6abe685be0914abd587dc38fb83aebceb34a1a7966753c7170 e98732a6cdb4e23d926eb2183da079d2374d7e79ee08142ea4409f1c4e5921bc d70f3bb759a5bd036d70ecc121292036b2b4e641c6bc449c9f53a671e6464b41 5e31b3f908cca61aaed17e58f0b3a71a4c1b23648f4aa3d90ff48d6db1d3f91f 9bd6458656baa801bc77e22f377dd4ad4d6e0325d5178e5cd930499ec412254f bbdefe4b85c9bec6638801fbf5ddec3900ecc8162be26d6efefe6a5e84bc565d 60eee1ca94eacdf6250e8fd12bb2c813d8bd95839430f2458f351eb475fa6cbf f3e25b0d668b86f536814dcc4bcc4c628f74f83e710644445f7ff62daf13389b 94183bab62695d8c1e49313c89f69d18700d7f42998eadbe63b9ba632e9caa94 bab045e2df93237c6535cb694b5ab300b8df99a86c92fb85421acf5c79e432b6 b4d2f0695434c10d4c051ef46746897756524fd5beab40e0ac82fb325eba8888 6fc8d48bfa909a7f3ae9e9f1c646feb0a57b3450cf14c2873ba3288657a2a590 3a29763a0fe384465681b7cd4c3b272931ef308e046c59dff4fbedbc51cd3907 cfa78d4d9ae2cf54f6fcb17e906dbd43089d40c22f0b1ac684747365211d44f8 29309ba1888c7181a8634e0ef8d827d7c4f3de9882af9d3898adce30de3d43f3 62c7d996d80e996119fea4908efe4ae5dd5007a0d6b6a7792751ca656c99c358 5ea1e12edb2a27d2aac9650ef804bccbb881e07c9477c04dd5d5ecb394c73be2 af067db97339f256eb67d7fcabfd1a57a2b7d1d6d623ec4e7f7eb3285a1e0e3a f96f0d57e8a8afdb5aafc08c92c323545233ecdf9f1707a009091f3a6d8a139b f097b1bf5af206326359fc4f9d977fdda177f79ca544d0617910e5d8f8978aac effbcc0ebc58fe2fcc1ca43d081fe47497d420eb18b9b9f3f321ec4f92c431d5 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 34 /quotedblright put dup 35 /numbersign put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 63 /question put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 89 /Y put dup 92 /quotedblleft put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put dup 124 /emdash put dup 127 /dieresis put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueXX 5000793 def currentdict end currentfile eexec 8053514d28ec28da1630165fab262882d3fca78881823c5537fe6c3dda8ee5b8 97e17cb027f5c73fdbb56b0a7c25fc3512b55fe8f3acfbffcc7f4a382d8299cc 8fd37d3cea49dabdca92847af0560b404ef71134b0f3d99934fc9d0b4e602011 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueXX 5000790 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bacdd6500abda5ed9835f6a016cfc8f0 0b6c052ed76a87856b50f4d80dfaeb508c97f8281f3f88b17e4d3b90c0f65ec3 79791aacdc162a66cbbc5be2f53aad8de72dd113b55a022fbfee658cb95f5bb3 2ba0357b5e050fddf264a07470bef1c52119b6fbd5c77ebed964ac5a2bbec9d8 b3e48ae5bb003a63d545774b922b9d5ff6b0066ece43645a131879b032137d6d 823385fe55f3402d557fd3b448685940729e6e22f4be0e08c6505cba868f7950 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1e9f40aeb397ee9aa0a8de8e650c25b81b7da2b189491ec921f6ba5211bce73c 3c9e9451172067b316e0e17f29d0168a549e109a5bcbd1246d59f8422ea6a296 d78c0ca05a407c124c50cfdfa193fcd33ff2aeb80209c282d85fb7a9bcf0438f 2647afaca72b89674913cc832b12509997b834438f1d8f1f22765e6dfa067e1a d1331f57e565fcc88f22e2c633152cfd4695fc57fc4940d008c96262841e5a6f e33d1103ceb131e3daf73a043653f43a5d12f0f163985dc8c19787ed041fdcff c4b80baae1d3a1689712015df8679fba4ada9a1379591bd979d62d7dd8f139f6 216aac97a9be34767f128091d9fc4228b23f201c4e0f4c40bdac0056841d451a f9c3d7517a84ab636c28dacb26f012479e7d64e1416b05bc96001e7fec9d0416 721dc7a085a6e1c9aa2b252452a34b4a1ebbb131e82741f523f93f057f899f7e 93186c6d47fead34de59fb5bb8fc1388 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueXX 5000791 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bacdd6500abda5ed9835f6a016cfc8f0 0b6c052ed76a87856b50f4d80dfaeb508c97f8281f3f88b17e4d3b90c0f65ec3 79791aacdc162a66cbbc5be2f53aad8de72dd113b55a022fbfee658cb95f5bb3 2ba0357b5e050fddf264a07470bef1c52119b6fbd5c77ebed964ac5a2bbec9d8 b3e48ae5bb003a63d545774b922b9d5ff6b0066ece43645a131879b032137d6d 823385fe55f3402d557fd3b4486858b2a4b5a0cc2e1bf4e2a4a0e748483c3bcf 5de47cc5260a3a967cac70a7a35b88b54315191d0423b4065c7a432987938c6b edad3b72ad63c2918b6e5a2017457e0d4ebc204b094541f345ec367ae85ca9bd 24568a01d3b9f8095f7420e6c423c414b3dcce6da48dd1c89a56d078e0d0e2f2 62a13640a06d17e44ee3866c3471fb58fedf5a3b77294517651c16bdd7267d39 a54e7171752dbde63ac19bb4b3021ce95eb5fe67390b09ae4d9ed4d704a67443 f55dce17acd996c1f5e023c9e5a18cbeecc3097f23763acb86cdd7cd13381ae7 4e48495ec7fa520539d87f8a8dcb3c826275469b6800876a457e7d1e5be867c7 b1ccad69742a8c9b0ad943482bf2a4ad0aed40baeb69a0233bad36b4ca2d2da7 322956c70375d152653500b2f22d2ab6990cadde2da14b4917f7515e64bc3d96 bf775258fc7dae4e42a4c9b6da8eddec4a800c8aadc8d75e48cae52137e05c03 677f5d6a82fa46d9f2fc7f56d62e5c605a1b7898b8d1401c2cac1a0122a2c8a7 aae09607f2c5f29293a09b9959399283be89051452898238b777db9830ff4318 a298b221c4a820c700ca964fc99e6b1d9eb0bafc39be9aa9dffa2fa326b2a466 1e67261bb3dbc85844e76f9313ab533ee16bcb478166de5502b68e6ec1ea6110 f53206cf1cfea419571b0243244b32ea38b828a01e62b03bcf476a32c2341cec 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7d07cda502d4dbdc11a62aa38cd07823cd586eb5e0e907753828832fee66bfdc 69c785d784398c9f1d78ce0e4249780d12612688761a40e0431621603a1c1b0a dde1efae1b19f64ff5767e983eae15ff62be12e8526c7f266d0e085198f68ffb eb8f8c43dfd6f468cdcc07d557361695ff4ff3e5e1078bc94267c1676ee05894 d3fb2f146642415b51e895d45ddd17a41fec6bb424e446c9d4715c636b385a97 84405dad4ed975f5a1513b4d97ce58296f74c4c8ad5689ef5dc048b5b5f2ed5b 6a5eaea90cbc58294e5b010609552c2b5929c7f288c150729c5e87d4b85a2f0f d295f734d6fbaa15646ccb5ca8d712541ddfd425930357e2957859fd5559678b 6ccbaa821b03204afd45f3d66db569fd160f28ff283869cdc60a3e8f10a91afd 6d8e0e4b0da4dd3237ea38bae01be5108da95cdd3e414533a91af1d92df3921e 23b2e8108c0e487030b63b89a320ca89a991f76fd77515f4a4e52f2b7ddcd50b ffc259c2bf59e680e1b1c9b3475642ddb5be171725990c12a79f2a782fe3ce34 865470e56ce3a3b3c610584445cb9ed46a851f748ee8044b0e5bd48e40a1c3e8 b7b564060ce28b12f0ec70bcc5a67daa1d5c6667a1ff6405610e368decbccc39 248d2b635a6218c6cb5b60e8e8b0477ba034462eb4f7ebaa1deaf0ab2f11c242 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2415849b1ca668aba544ffce2d201ab552c224ec6dea30524cb10da8 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 17 /equivalence put dup 27 /propersuperset put dup 54 /negationslash put dup 56 /universal put dup 57 /existential put dup 58 /logicalnot put dup 94 /logicaland put dup 95 /logicalor put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueXX 5000820 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bac8ced9b09a275ab231194ecf829352 05826f4e975dcecec72b2cf3a18899ccde1fd935d09d813b096cc6b83cdf4f23 b9a60db41f9976ac333263c908dcefcdbd4c8402ed00a36e7487634d089fd45a f4a38a56a4412c3b0baffaeb717bf0de9ffb7a8460bf475a6718b0c73c571145 d026957276530530a2fbefc6c8f67052788e6703bb5ee49533870bca1f113ad8 3750d597b842d8d96c423ba1273ddd32f3a54a912a443fcd44f7c3a6fe3956b0 aa1e784aaec6fce08dae0c76da9d0a3eba57b98a6233d9e9f0c3f00fcc6b2c6a 9ba23af389e6dfff4efec3de05d6276c6be417703ce508377f25960ef4ed83b4 9b01b873f3a639ce00f356229b6477a081933fef3bb80e2b9dffa7f75567b1fa 4d739b772f8d674e567534c6c5bbf1cf615372be20b18472f7aa58be8c216dbd df81cc0a86b6d8318ca68fe22c8af13b54d7576fe4ca5a7af9005ea5cc4edb79 c0ab668e4fec4b7f5a9eb5f0e4c088cd818ecc4feb4b40ec8bd2981bf2336074 b64c430282c3aca8cb8513abe3955a5e832256a57fa8e52fee3774ff9e447be4 b002e8f27dd0c01c5d0bc4a3e4e429537a7726b3b69e28ae99e96897a8743907 4fbebb892d9676cce5975ab5315bf528e9a3c7605b0e26b43d6c90ed668be8e5 d062d51043680fcc3494b6c80138265c6e8de79762690d7e1ecf8df5feb14c19 6a74a1baa90f524d8e6c4a1be88b4fa188958b8982459829b1028b03f0ebecc2 982bfb3f769e1ad44a7e70b7dfda6d98359e56ffa8f1a02bf3a2ceba6727cc2c 150aec1218a73115df93426b4603af36156f0bc89bab37b54913df2368c6be60 8417d99c256a66806ca2a0bdf3d290679ceb921d33ac825eac7e3ba41ed283f9 524dc184e6c575994fa150da09f9f4a6df574bb89ebb0e498f00c9d89cdedb3e c6daffc9b438c962666d89058d426dd5c7bdb5271e83bedf58d3787d99c3fbf2 b90caeb0395f64e8a068538fce2768f8d506341d6535e959392f79733fbcbd2e c4c3faa0555fddaa294ecde619dae61681ef4349d0f9f9aca1058344da39439b c90384ea89ee4e69db9024c1ee2a40896deff2152cb73e90dd9547600e07a98e 323aed7462fb29e219d0df6669d734b7e758f473da92a549ff6546612f8a46b7 542ebf61b1348e24e9873a88fe07570d801eab48888a207e56adee1343702128 a845df6a280f266734582c8abba99eea22fbe8bf5c2336c782c63d5181aa09be f0c0ba0f6856c00d18dce639e1210636f15dd06652d2517070f7eb452179e983 4689726b02cc9f894ecd999c110bab7740f83415f093b4e4bc1eb43ab4a22f02 6154a2b057c9d826d7ed4818543174f2df5666ed7df683f7fe1d4dde384d9223 e48a112344a6200a669dd035d62e0f7ca70d92ab72673e7b3316be56ef045f02 89dfc28a52bf062e1603492beb5a75e27da7114dd3e4c4ac83168839e17b0800 c3bb8964988d51694b4de3167c67218beb94ff49a7ddeba2348dec28d35d7e3b f716a674326be81232df3c3d96153bfb23c3046f3e98f5cc7adf29661d1ecc46 14f345be245bc5356d51c799675c568a5dbd383550dbf5c1f4eef7417c7d58a4 a6b74cd0eb66671177ac949096fe20adcf1e274493cef5a3a9152e6aeceecaa4 3b3ef67d1f111c93b4eb016dd5cf2fb4a643e31db7fc5222901739e01207442d 0af5422ba43f70b20672c86bcb3e1fd022a74408232857acd84b8833a18b9e71 356af169d27cfc5a272c39ce69385a6d0ec9ac17372b854f1507a480df31998d 6ccce9d2ade9b5edc69dcf8126dc7f72d654f20537d3e7bfeab824c15bf041cc fd6932d730bf939792cf39cd8890b5273a1a6849285d90b772e920a10ec4aca3 3eaaee3069d28bf9d7351e4049297f8c7f92606adef47ea0fe2ec6cfdadcac89 2d3c40bb2179b4f7bbac8f84cb82e9d1e297416e64aeed39fd785b5c2e54bbaf ec0859be2653764d6e97f75d78e92e127c92022db219b522820dc5ba6c35ce09 bee4441e9adf6bb7761428fdc7316df7a846dd0173dbab77e92a4a970cfcf7d0 2f20ff850e7676c5a6105e84e9a79fee0fac4e591f1d2f144cb17febb675fcc9 5bb034973bb0b93fb162075f7a40a1020cead101a6b8c43af63089f5b774d9d5 cab182be2fe9eafec5f359ec 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 44 /comma put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 67 /C put dup 74 /J put dup 77 /M put dup 79 /O put dup 83 /S put dup 85 /U put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 104 /h put dup 105 /i put dup 109 /m put dup 110 /n put dup 111 /o put dup 114 /r put dup 115 /s put dup 116 /t put dup 118 /v put dup 121 /y put readonly def /FontBBox{-34 -251 988 750}readonly def /UniqueXX 5000794 def currentdict end currentfile eexec 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 45 /hyphen put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 65 /A put dup 67 /C put dup 69 /E put dup 70 /F put dup 73 /I put dup 75 /K put dup 76 /L put dup 77 /M put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 84 /T put dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 119 /w put dup 120 /x put dup 121 /y put dup 124 /emdash put readonly def /FontBBox{-53 -251 1139 750}readonly def /UniqueXX 5000769 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bacdd6500abda5ed9835f6a016cfc8f0 0b6c052ed76a87856b50f4d80dfaeb508c97f8281f3f88b17e4d3b90c0f65ec3 79791aacdc162a66cbbc5be2f53aad8de72dd113b55a022fbfee658cb95f5bb3 2ba0357b5e050fddf264a07470bef1c52119b6fbd5c77ebed964ac5a2bbec9d8 b3e48ae5bb003a63d545774b922b9d5ff6b0066ece43645a131879b032137d6d 823385fe55f3402d557fd3b4486be79011d1f5bfae5c1f476ee6f05eb1d2caeb 269958b194521197b312fcced4867f3c8fbd030bd715d8ffda1dcd454b174e7a 1a97b59fe770e67702519d9d9b23d61ac08424d555242a8ca08c49aef300945d 99b999a79ce74804ae6bfde623f4463371442f6523a5f6ce19c839a708c02513 2e22c696c8ccade45680e5197189d0f98e7f0d5f955e353970b392cf530a68cc 56b0035ddfbf206c3074beeb0739dcbca272a6e629fb7aea2c5ba7bae50c7b4c a595df78200c352997ec3ee564df229fbb5473f5e8ccb1cc0153e9a7e299a8ea 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI10 %!PS-AdobeFont-1.1: CMTI10 1.00B %%CreationDate: 1992 Feb 19 19:56:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 34 /quotedblright put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 54 /six put dup 57 /nine put dup 58 /colon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 86 /V put dup 87 /W put dup 89 /Y put dup 90 /Z put dup 92 /quotedblleft put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 127 /dieresis put readonly def /FontBBox{-163 -250 1146 969}readonly def /UniqueXX 5000828 def currentdict end currentfile eexec 8053514d28ec28da1630165fab262882d3ffd20326947b1065649b533eb5e9e3 a88a87fe987918a687950b26f647d6e08bf14d983ed1d4a8ca1e2da8d985f944 2eb916f5b6ed0697ac7c33e1e36a3bf460d34ce45f1631871097cb04f18e3889 4cf4ac1538eb19481311d24fe3be7beaa4a3730e8b4831fe59d6d9ce2e46116b 629c7ba2f9ce3ecba2f43bc162a5a077ca1b2882a42afdcec3f4b75b5d63e0bc 8e5dc95257766d8ea467ad9cbaf47be60f797580cced6884b3a68f70c91f4fdf 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX10 %!PS-AdobeFont-1.1: CMBX10 1.00B %%CreationDate: 1992 Feb 19 19:54:06 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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1[861 3[1015 3[400 3[753 1[799 1[830 6[307 553 1[553 1[553 553 1[553 553 553 1[307 4[430 430 307 4[553 21[615 646 11[{}48 1106.96 /CMR10 rf /Ff 201[441 441 441 441 441 441 49[{}6 774.872 /CMR7 rf /Fg 201[470 470 470 470 470 470 470 48[{}7 885.568 /CMR8 rf /Fh 160[808 808 35[808 673 673 1[0 26[943 9[943 16[943{}9 1212.12 /CMSY10 rf /Fi 134[594 693 868 588 694 438 568 547 541 610 588 728 1064 362 631 1[418 698 578 593 564 631 525 520 641 6[827 704 1004 1145 707 1[708 743 920 958 778 925 974 1176 825 1029 672 533 1[953 779 895 1004 866 919 909 5[337 337 32[691 13[775 11[{}52 1212.12 /CMMI10 rf /Fj 198[650 650 650 650 650 650 650 650 650 650 48[{}10 1328.35 /CMR12 rf /Fk 131[2152 2[1136 1136 1554 1[1196 837 849 879 1[1196 1076 1196 1793 598 1136 1[598 1196 1076 658 982 1196 956 1196 1046 9[2223 2[1497 1[1605 1616 1470 1616 1[2041 1293 1685 1[801 2[1353 1412 1[1554 1[1625 7[1076 1076 1076 1076 1076 1076 1076 1076 1076 1076 2[717 32[1196 12[{}49 1912.83 /CMBX12 rf /Fl 128[620 4[496 589 562 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b(Q)p Fm(\))402 b(is)g(the)g(prop)34 b(osition)402 b(that)h Fi(P)570 b Fm(kno)-34 b(ws)403 b Fi(that)e(Q)p Fm(.)538 b(English)402 b(do)34 b(es)7624 33962 y(not)497 b(treat)g(kno)-34 b(wing)497 b(a)f(prop)34 b(osition)497 b(and)g(kno)-34 b(wing)498 b(an)e(individual)h(concept) 7624 35467 y(uniformly;)633 b(kno)-34 b(wing)558 b(an)f(individual)g (concept)g(means)g(kno)-34 b(wing)558 b(its)f(v)-67 b(alue)7624 36972 y(while)469 b(kno)-34 b(wing)469 b(a)g(prop)34 b(osition)469 b(means)g(kno)-34 b(wing)469 b(that)h(it)f(has)g(a)f (particular)7624 38478 y(v)-67 b(alue,)347 b(namely)333 b Fi(t)p Fm(.)514 b(There)334 b(is)f(no)h(reason)f(to)h(imp)34 b(ose)333 b(this)h(in\014rmit)-34 b(y)334 b(on)g(rob)34 b(ots.)9442 39983 y(W)-101 b(e)417 b(\014rst)g(consider)g(systems)g(in) g(whic)-34 b(h)418 b(corresp)34 b(onding)417 b(to)h(eac)-34 b(h)417 b(concept)7624 41489 y Fi(X)95 b Fm(,)346 b(there)332 b(is)f(a)g(thing)i Fi(x)e Fm(of)h(whic)-34 b(h)332 b Fi(X)427 b Fm(is)331 b(a)h(concept.)514 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b(ue)405 b(E)70 b(q)43 b(ual)24 b Fm(\()p Fi(X)k(;)202 b(X)95 b Fm(\)\))p Fi(;)17704 b Fm(\(21\))10876 43447 y(\()p Fh(8)p Fi(X)500 b(Y)269 b Fm(\)\()p Fi(tr)34 b(ue)404 b(E)70 b(q)43 b(ual)24 b Fm(\()p Fi(X)k(;)202 b(Y)269 b Fm(\))337 b Fh(\021)f Fi(tr)34 b(ue)404 b(E)70 b(q)43 b(ual)24 b Fm(\()p Fi(Y)67 b(;)202 b(X)95 b Fm(\)\))5872 b(\(22\))7624 46239 y(and)10876 48711 y(\()p Fh(8)p Fi(X)365 b(Y)539 b(Z)87 b Fm(\)\()p Fi(tr)34 b(ue)269 b(E)70 b(q)43 b(ual)24 b Fm(\()p Fi(X)k(;)202 b(Y)269 b Fm(\))p Fh(^)p Fi(tr)34 b(ue)269 b(E)70 b(q)43 b(ual)24 b Fm(\()p Fi(Y)67 b(;)202 b(Z)87 b Fm(\))337 b Fh(\033)g Fi(tr)34 b(ue)268 b(E)70 b(q)43 b(ual)24 b Fm(\()p Fi(X)k(;)202 b(Z)87 b Fm(\)\))p Fi(;)p Fm(\(23\))7624 51184 y(making)404 b Fi(tr)34 b(ue)404 b(E)70 b(q)43 b(ual)24 b Fm(\()p Fi(X)k(;)202 b(Y)268 b Fm(\))405 b(an)f(equiv)-67 b(alence)403 b(relation,)g(and)10876 53656 y(\()p Fh(8)p Fi(X)365 b(Y)539 b(x)p Fm(\)\()p Fi(tr)34 b(ue)269 b(E)70 b(q)43 b(ual)24 b Fm(\()p Fi(X)k(;)202 b(Y)269 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8 8 8 7 bop 9442 8413 a Fm(The)490 b(statemen)-34 b(t)490 b(that)h(Mary)d(has)i(the)f(same)g(telephone)h(as)f(Mik)-34 b(e)488 b(is)h(as-)7624 9918 y(serted)404 b(b)-34 b(y)10876 12401 y Fi(tr)34 b(ue)403 b(E)70 b(q)43 b(ual)24 b Fm(\()p Fi(T)168 b(el)24 b(ephone)405 b(M)132 b(ar)34 b(y)43 b(;)202 b(T)168 b(el)24 b(ephone)404 b(M)132 b(ik)38 b(e)p Fm(\))5739 b(\(26\))7624 14883 y(and)405 b(it)f(ob)-34 b(viously)404 b(do)34 b(esn't)405 b(follo)-34 b(w)405 b(from)f(this)h(and)g(\(1\))f(that)10876 17366 y Fi(tr)34 b(ue)403 b(K)87 b(now)33 b Fm(\()p Fi(P)168 b(at;)202 b(T)168 b(el)24 b(ephone)404 b(M)132 b(ar)34 b(y)43 b Fm(\))12593 b(\(27\))7624 19848 y(T)-101 b(o)405 b(dra)-34 b(w)405 b(this)f(conclusion)h(w)-34 b(e)404 b(need)g(something)h(lik) -34 b(e)10876 22331 y Fi(tr)34 b(ue)403 b(K)87 b Fm(\()p Fi(P)168 b(at;)202 b(E)70 b(q)43 b(ual)24 b Fm(\()p Fi(T)168 b(el)24 b(ephone)405 b(M)132 b(ar)34 b(y)43 b(;)202 b(T)168 b(el)24 b(ephone)405 b(M)132 b(ik)38 b(e)p Fm(\)\))1116 b(\(28\))7624 24813 y(and)405 b(suitable)g(axioms)e(ab)34 b(out)405 b(kno)-34 b(wledge.)9442 26319 y(If)480 b(w)-34 b(e)481 b(w)-34 b(ere)480 b(to)g(adopt)h(the)g(con)-34 b(v)g(en)g(tion)481 b(that)g(a)f(prop)34 b(osition)481 b(app)34 b(earing)7624 27824 y(at)557 b(the)f(outer)h(lev)-34 b(el)555 b(of)i(a)f(sen)-34 b(tence)557 b(is)f(asserted)g(and)h(w)-34 b(ere)556 b(to)h(regard)f(the)7624 29330 y(denotation-v)-67 b(alued)469 b(function)f(as)g(standing)h(for)e(the)h(sense-v)-67 b(alued)467 b(function)7624 30835 y(when)d(it)e(app)34 b(ears)463 b(as)g(the)g(second)g(argumen)-34 b(t)464 b(of)f Fi(K)87 b(now)33 b Fm(,)475 b(w)-34 b(e)463 b(w)-34 b(ould)464 b(ha)-34 b(v)g(e)463 b(a)7624 32341 y(notation)495 b(that)h(resem)-34 b(bles)493 b(ordinary)h(language)g(in)g(handling)h (obliquit)-34 b(y)494 b(en-)7624 33846 y(tirely)328 b(b)-34 b(y)328 b(con)-34 b(text.)514 b(There)329 b(is)f(no)h(guaran)-34 b(tee)329 b(that)h(general)e(statemen)-34 b(ts)330 b(could)7624 35352 y(b)34 b(e)317 b(expressed)g(unam)-34 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b(are)f(not)7624 9918 y(no)-34 b(w)550 b(concerned)f(with)g(formalizing)f(tense.\))973 b(\(31\))550 b(can)f(b)34 b(e)548 b(condensed)i(us-)7624 11424 y(ing)430 b Fi(C)87 b(omposite)p Fm(1)428 b(whic)-34 b(h)431 b(tak)-34 b(es)429 b(a)h(n)-34 b(um)g(b)34 b(er)430 b(in)-34 b(to)430 b(the)g(prop)34 b(osition)430 b(that)h(it)e(is)7624 12929 y(comp)34 b(osite,)404 b(i.e.)10876 15235 y(\()p Fh(8)p Fi(n)p Fm(\)\()p Fi(C)87 b(omposite)p Fm(1)404 b Fi(n)336 b Fm(=)h Fi(C)87 b(omposite)403 b(C)87 b(oncept)p Fm(1)403 b Fi(n)p Fm(\))p Fi(;)6157 b Fm(\(32\))7624 17542 y(getting)10876 19848 y Fi(tr)34 b(ue)403 b(K)87 b(new)33 b Fm(\()p Fi(K)87 b(epl)24 b(er)-34 b(;)202 b(C)87 b(omposite)p Fm(1)404 b Fi(denot)f(N)132 b(umber)438 b(P)168 b(l)24 b(anets)p Fm(\))p Fi(:)344 b Fm(\(33\))7624 22154 y(A)384 b(further)g(condensation)h(can)e(b)34 b(e)383 b(ac)-34 b(hiev)g(ed)384 b(using)g Fi(C)87 b(omposite)p Fm(2)382 b(de\014ned)j(b)-34 b(y)10876 24460 y(\()p Fh(8)p Fi(N)132 b Fm(\)\()p Fi(C)87 b(omposite)p 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b(what)g(they)f(ma)-34 b(y)404 b(denote)h(is)f(necessary)-101 b(.)7624 38888 y Fk(6)2152 b(More)478 b(Philosophical)e(Examples|Mostly)7624 41323 y(W)-179 b(ell)716 b(Kno)-60 b(wn)7624 44029 y Fm(Some)403 b(sen)-34 b(tences)403 b(that)h(recur)e(as)h(examples)g(in) f(the)i(philosophical)f(literature)7624 45534 y(will)391 b(b)34 b(e)391 b(expressed)g(in)g(our)h(notation)h(so)e(the)h(treatmen) -34 b(ts)393 b(can)e(b)34 b(e)391 b(compared.)9442 47040 y(First)413 b(w)-34 b(e)413 b(ha)-34 b(v)g(e)414 b Fl(\\The)440 b(numb)-62 b(er)441 b(of)g(planets)f(=)i(9")411 b Fm(and)j Fl(\\Ne)-62 b(c)g(essarily)438 b(9)j(=)7624 48545 y(9")361 b Fm(from)g(whic)-34 b(h)362 b(one)g(do)34 b(esn't)362 b(w)-34 b(an)g(t)363 b(to)f(deduce)f Fl(\\Ne)-62 b(c)g(essarily)391 b(the)i(numb)-62 b(er)394 b(of)7624 50051 y(planets)375 b(=)i(9")p Fm(.)517 b(This)343 b(example)e(is)h(discussed)h(b)-34 b(y)342 b(Quine)g(\(1961\))i(and)e(\(Kaplan)7624 51556 y(1969\).)539 b(Consider)405 b(the)f(sen)-34 b(tences)10876 54058 y 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y(Quine)404 b(\(1961\))h(considers)f(illegitimate)f(the)i(sen)-34 b(tence)10876 41233 y(\()p Fh(9)p Fi(x)p Fm(\)\(Philip)405 b(is)f(una)-34 b(w)g(are)405 b(that)h Fi(x)d Fm(denounced)j(Catiline\)) 4529 b(\(61\))7624 44052 y(obtained)473 b(from)g Fl(\\Philip)494 b(is)i(unawar)-62 b(e)495 b(that)g(T)-93 b(ul)62 b(ly)495 b(denounc)-62 b(e)g(d)494 b(Catiline")471 b Fm(b)-34 b(y)7624 45558 y(existen)g(tial)440 b(generalization.)646 b(In)440 b(the)h(example,)448 b(w)-34 b(e)441 b(are)e(also)h(supp)34 b(osing)442 b(the)7624 47063 y(truth)377 b(of)g Fl(\\Philip)406 b(is)h(awar)-62 b(e)407 b(that)f(Cic)-62 b(er)g(o)407 b(denounc)-62 b(e)g(d)405 b(Catiline")p Fm(.)528 b(These)376 b(sen-)7624 48569 y(tences)504 b(are)f(related)h(to)g(\(p)34 b(erhaps)504 b(ev)-34 b(en)504 b(explicated)f(b)-34 b(y\))505 b(sev)-34 b(eral)503 b(sen)-34 b(tences)7624 50074 y(in)415 b(our)f(system.)570 b Fi(T)168 b(ul)24 b(l)g(y)458 b Fm(and)415 b Fi(C)87 b(icer)34 b(o)413 b Fm(are)h(tak)-34 b(en)415 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b(t)375 b(di\013erence)d(from)h(the)h(usual)g(treatmen)-34 b(t.)529 b(W)-101 b(e)373 b(need)g(them)h(to)g(giv)-34 b(e)7624 26278 y(v)-67 b(alues)483 b(to)h(the)g(inner)g(v)-67 b(ariables,)502 b(and)484 b(w)-34 b(e)484 b(can)g(also)g(use)g(them)g (for)g(axioma-)7624 27784 y(tizing)379 b(the)h(mo)34 b(dal)379 b(op)34 b(erators,)383 b(kno)-34 b(wledge,)384 b(b)34 b(elief)379 b(and)h(tense.)530 b(Ho)-34 b(w)g(ev)g(er,)384 b(for)7624 29289 y(axiomatizing)404 b(quan)-34 b(ti\014cation,)405 b(w)-34 b(e)405 b(also)f(need)g(a)g(function)i Fi(\013)j Fm(suc)-34 b(h)405 b(that)10876 31613 y Fi(\031)11610 31112 y Fc(0)12258 31613 y Fm(=)336 b Fi(\013)t Fm(\()p Fi(V)67 b(;)202 b(x;)g(\031)43 b Fm(\))23600 b(\(83\))7624 33937 y(is)590 b(the)h(p)34 b(ossible)590 b(w)-34 b(orld)590 b(that)i(is)e(the)g(same)g(as)g(the)h(w)-34 b(orld)591 b Fi(\031)633 b Fm(except)590 b(that)7624 35442 y(the)541 b(inner)f(v)-67 b(ariable)539 b Fi(V)810 b Fm(has)541 b(the)g(v)-67 b(alue)539 b Fi(x)i 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y(tion)405 b Fi(P)572 b Fm(is)404 b(true)g(in)h(the)f(p)34 b(ossible)404 b(w)-34 b(orld)405 b Fi(\031)43 b Fm(.)539 b(Then)10876 48304 y(\()p Fh(8)p Fi(P)168 b Fm(\)\()p Fi(tr)34 b(ue)405 b(P)506 b Fh(\021)336 b Fi(tr)34 b(ue)p Fm(\()p Fi(P)g(;)202 b(\031)23943 48486 y Fg(0)24468 48304 y Fm(\)\))p Fi(:)16390 b Fm(\(84\))9442 50628 y(Let)269 b Fi(denotes)p Fm(\()p Fi(X)28 b(;)202 b(x;)g(\031)43 b Fm(\))270 b(mean)f(that)i Fi(X)365 b Fm(denotes)270 b Fi(x)f Fm(in)g Fi(\031)43 b Fm(,)297 b(and)270 b(let)f Fi(denot)p Fm(\()p Fi(X)28 b(;)202 b(\031)43 b Fm(\))7624 52133 y(mean)404 b(the)h(denotation)h(of)e Fi(X)499 b Fm(in)405 b Fi(\031)447 b Fm(when)405 b(that)g(is)f(de\014ned.)9442 53638 y(The)h(truth)g(condition)g(for)f Fi(Al)24 b(l)g Fm(\()p Fi(V)67 b(;)202 b(P)168 b Fm(\))405 b(is)f(then)h(giv)-34 b(en)404 b(b)-34 b(y)10876 56223 y(\()p Fh(8)p Fi(\031)43 b(V)270 b(P)168 b Fm(\)\()p Fi(tr)34 b(ue)p Fm(\()p Fi(Al)24 b(l)g Fm(\()p Fi(V)67 b(;)202 b(P)168 b Fm(\))p Fi(;)202 b(\031)43 b 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Fh(\021)g Fm(\()p Fh(8)p Fi(x)p Fm(\)\()p Fi(tr)34 b(ue)270 b(S)70 b(ubst)p Fm(\()p Fi(C)87 b(oncept)p Fm(1)p Fi(x;)202 b(V)67 b(;)202 b(Q)p Fm(\)\))p Fi(:)p Fm(\(102\))7624 47506 y Fk(8)2152 b(P)-60 b(ossible)477 b(Applications)f(to)i(Arti\014cial)g(In-)7624 49941 y(telligence)7624 52647 y Fm(The)397 b(foregoing)f(discussion)h(of)f(concepts)g(has)h(b) 34 b(een)396 b(mainly)f(concerned)h(with)7624 54152 y(ho)-34 b(w)449 b(to)f(translate)g(in)-34 b(to)449 b(a)e(suitable)i(formal)e (language)h(certain)g(sen)-34 b(tences)448 b(of)7624 55658 y(ordinary)486 b(language.)783 b(The)486 b(success)g(of)g(the)g (formalization)g(is)f(measured)h(b)-34 b(y)7624 57163 y(the)393 b(exten)-34 b(t)392 b(to)h(whic)-34 b(h)392 b(the)h(logical)e(consequences)h(of)g(these)g(sen)-34 b(tences)393 b(in)f(the)7624 58669 y(formal)504 b(system)f(agree)g (with)h(our)f(in)-34 b(tuitions)505 b(of)f(what)h(these)e(consequences) 7624 60174 y(should)531 b(b)34 b(e.)914 b(Another)531 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11424 y(can)477 b(try)g(to)g(separate)g(the)g(problem)g(of)g (describing)g(the)g(general)f(asp)34 b(ects)477 b(of)7624 12929 y(the)418 b(w)-34 b(orld)419 b(from)e(the)i(problem)e(of)h(using) h(suc)-34 b(h)418 b(a)g(description)g(and)h(the)f(facts)7624 14435 y(of)338 b(a)g(situation)h(to)g(disco)-34 b(v)g(er)337 b(a)h(strategy)g(for)g(ac)-34 b(hieving)338 b(a)g(goal.)516 b(This)338 b(is)g(called)7624 15940 y(separating)319 b(the)f Fi(epistemol)24 b(og)43 b(ical)340 b Fm(and)318 b(the)g Fi(heur)34 b(istic)317 b Fm(parts)h(of)h(the)f(arti\014cial) 7624 17446 y(in)-34 b(telligence)403 b(problem)i(and)g(is)e(discussed)i (in)f(\(McCarth)-34 b(y)406 b(and)f(Ha)-34 b(y)g(es)404 b(1969\).)9442 18951 y(W)-101 b(e)404 b(see)f(the)i(follo)-34 b(wing)405 b(p)34 b(oten)-34 b(tial)405 b(uses)f(for)g(facts)h(ab)34 b(out)405 b(kno)-34 b(wledge:)8893 21342 y(1.)650 b(A)333 b(computer)h(program)f(that)h(w)-34 b(an)g(ts)336 b(to)d(telephone)h (someone)f(m)-34 b(ust)335 b(rea-)10486 22848 y(son)282 b(ab)34 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b(out)355 b(kno)-34 b(wledge)7624 56283 y(and)455 b(necessit)-34 b(y)453 b(of)i(statemen)-34 b(ts)455 b(ab)34 b(out)455 b(necessit)-34 b(y)-101 b(.)687 b(The)455 b(restrictions)e(will)g(b)34 b(e)7624 57788 y(somewhat)542 b(unin)-34 b(tuitiv)g(e)542 b(as)e(are)g(the)h(restrictions)f(necessary)g(to)h(a)-34 b(v)g(oid)541 b(the)7624 59294 y(parado)-34 b(xes)405 b(of)f(naiv)-34 b(e)404 b(set)h(theory)-101 b(.)9442 60799 y(Chee)356 b(K.)e(Y)-101 b(ap)356 b(\(1977\))g(prop)34 b(oses)356 b Fl(virtual)387 b(semantics)353 b Fm(for)i(in)-34 b(tensional)356 b(log-)7624 62305 y(ics)501 b(as)h(a)f(generalization)g (of)h(Carnap's)h(individual)e(concepts.)832 b(Apart)502 b(from)7624 63810 y(the)442 b(fact)g(that)g(Y)-101 b(ap)442 b(do)34 b(es)441 b(not)h(sta)-34 b(y)442 b(within)g(con)-34 b(v)g(en)g(tional)443 b(\014rst)e(order)g(logic,)7624 65315 y(w)-34 b(e)452 b(don't)g(y)-34 b(et)451 b(kno)-34 b(w)452 b(the)f(relation)g(b)34 b(et)-34 b(w)g(een)452 b(his)f(w)-34 b(ork)452 b(and)f(that)i(describ)34 b(ed)25308 69517 y Fj(24)p eop %%Page: 25 25 25 24 bop 7624 8413 a Fm(here.)9442 9918 y(I)588 b(am)g(indebted)h(to)f (Lewis)f(Creary)-101 b(,)633 b(P)-34 b(atric)g(k)588 b(Ha)-34 b(y)g(es,)634 b(Donald)588 b(Mic)-34 b(hie,)7624 11424 y(Barbara)560 b(P)-34 b(artee)561 b(and)g(P)-34 b(eter)561 b(Suzman)g(for)g(discussion)g(of)g(a)g(draft)h(of)f(this) 7624 12929 y(pap)34 b(er.)496 b(Creary)277 b(in)g(particular)g(has)h (sho)-34 b(wn)279 b(the)f(inadequacy)f(of)h(the)f(formalism)7624 14435 y(for)367 b(expressing)g(all)f(readings)h(of)g(the)h(am)-34 b(biguous)368 b(sen)-34 b(tence)367 b Fl(\\Pat)399 b(knows)g(that)7624 15940 y(Mike)562 b(knows)i(what)e(Jo)-62 b(an)564 b(last)e(asserte)-62 b(d")p Fm(.)959 b(There)545 b(has)h(not)g(b)34 b(een)545 b(time)g(to)7624 17446 y(mo)34 b(dify)444 b(the)f(formalism)h(to)g (\014x)f(this)h(inadequacy)-101 b(,)453 b(but)444 b(it)g(seems)f(lik) -34 b(ely)442 b(that)7624 18951 y(concepts)405 b(of)f(concepts)h(are)e 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b(P)-34 b(arado)g(x)561 b(Re-)7624 60545 y(gained,)507 b Fl(Notr)-62 b(e)509 b(Dame)g(Journal)f(of)h(F)-93 b(ormal)509 b(L)-62 b(o)g(gic)485 b Fm(1:79{90.)786 b(Reprin)-34 b(ted)487 b(in)7624 62050 y(\(Mon)-34 b(tague)406 b(1974\).)9442 63556 y(Linsky)-101 b(,)307 b(Leonard,)g(ed.\(1971\))284 b Fl(R)-62 b(efer)g(enc)g(e)321 b(and)h(Mo)-62 b(dality\))p Fm(.)495 b(Oxford)284 b(Read-)7624 65061 y(ings)404 b(in)h(Philosoph) -34 b(y)-101 b(,)404 b(Oxford)g(Univ)-34 b(ersit)g(y)404 b(Press.)25308 69517 y Fj(25)p eop %%Page: 26 26 26 25 bop 9442 8413 a Fm(McCarth)-34 b(y)-101 b(,)387 b(J.)380 b(\(1963\).)532 b(T)-101 b(o)-34 b(w)g(ards)383 b(a)e(Mathematical)h(Science)e(of)i(Compu-)7624 9918 y(tation,)506 b(in)484 b Fl(Pr)-62 b(o)g(c)g(e)g(e)g(dings)506 b(of)h(IFIP)h(Congr)-62 b(ess)507 b(1962\))p Fm(.)778 b(North-Holland)486 b(Pub-)7624 11424 y(lishing)404 b(Co.,)g (Amsterdam.)9442 12929 y(McCarth)-34 b(y)-101 b(,)521 b(J.)496 b(and)i(Ha)-34 b(y)g(es,)520 b(P)-101 b(.J.)496 b(\(1969\).)818 b(Some)497 b(Philosophical)g(Prob-)7624 14435 y(lems)487 b(from)g(the)h(Standp)34 b(oin)-34 b(t)490 b(of)d(Arti\014cial)g(In)-34 b(telligence.)787 b Fl(Machine)508 b(Intel)62 b(li-)7624 15940 y(genc)-62 b(e)460 b(4\))p Fm(.)627 b(pp.)h(463{502)434 b(\(eds)h(Meltzer,)440 b(B.)433 b(and)i(Mic)-34 b(hie,)440 b(D.\).)628 b(Edin)-34 b(burgh:)7624 17446 y(Edin)g(burgh)498 b(Univ)-34 b(ersit)g(y)497 b(Press.)815 b(\(Reprin)-34 b(ted)498 b(in)f(B.)e(L.)h(W)-101 b(ebb)34 b(er)496 b(and)h(N.)g(J.)7624 18951 y(Nilsson)593 b(\(eds.\),)640 b Fl(R)-62 b(e)g(adings)605 b(in)i(A)-31 b(rti\014cial)606 b(Intel)62 b(ligenc)-62 b(e)p Fm(,)637 b(Tioga,)i(1981,)h(pp.)7624 20457 y(431{450;)695 b(also)598 b(in)f(M.)h(J.)f(Ginsb)34 b(erg)598 b(\(ed.\),)647 b Fa(Readings)598 b(in)g(Nonmonotonic)7624 21962 y(Reasoning)p Fm(,)432 b(Morgan)426 b(Kaufmann,)432 b(1987,)f(pp.)604 b(26{45;)436 b(also)426 b(in)f(this)i(v)-34 b(olume,)7624 23468 y(pp.)539 b(000{000.\))9442 24973 y(McCarth)-34 b(y)-101 b(,)323 b(John)302 b(\(1979\):)487 b(\\Ascribing)302 b(Men)-34 b(tal)301 b(Qualities)g(to)h(Mac)-34 b(hines")7624 26478 y(in)395 b Fl(Philosophic)-62 b(al)421 b(Persp)-62 b(e)g(ctives)422 b(in)k(A)-31 b(rti\014cial)424 b(Intel)62 b(ligenc)-62 b(e)p Fm(,)394 b(Ringle,)j(Martin)7624 27984 y(\(ed.\),)404 b(Harv)-34 b(ester)404 b(Press,)g(July)f(1979.)539 b(Reprin)-34 b(ted)405 b(in)f(\(McCarth)-34 b(y)406 b(1990\).)9442 29489 y(McCarth)-34 b(y)-101 b(,)380 b(John)373 b(\(1990\):)524 b Fl(F)-93 b(ormalizing)403 b(Common)i(Sense)p Fm(,)378 b(Ablex,)g(Nor-)7624 30995 y(w)-34 b(o)34 b(o)g(d,)405 b(New)f(Jersey)9442 32500 y(Mon)-34 b(tague,)554 b(Ric)-34 b(hard)524 b(\(1963\).)896 b(Syn)-34 b(tactical)524 b(T)-101 b(reatmen)-34 b(ts)524 b(of)f(Mo)34 b(dalit)-34 b(y)-101 b(,)7624 34006 y(with)443 b(Corollaries)e(on)h(Re\015exion)g (Principles)e(and)j(Finite)f(Axiomatizabilit)-34 b(y)-101 b(,)7624 35511 y Fl(A)-62 b(cta)314 b(Philosophic)-62 b(a)311 b(F)-93 b(ennic)-62 b(a)275 b Fm(16:153{167.)495 b(Reprin)-34 b(ted)277 b(in)e(\(Mon)-34 b(tague)277 b(1974\).)9442 37017 y(Mon)-34 b(tague,)490 b(Ric)-34 b(hard)472 b(\(1974\).)741 b Fl(F)-93 b(ormal)495 b(Philosophy\))p Fm(.)736 b(Y)-101 b(ale)471 b(Univ)-34 b(ersit)g(y)7624 38522 y(Press)9442 40028 y(Morgan,)646 b(Charles)597 b(G.)g(\(1976\).)1118 b(Metho)34 b(ds)597 b(for)h(Automated)g(Theorem)7624 41533 y(Pro)-34 b(ving)541 b(in)g(Nonclassical)f(Logics,)574 b Fl(IEEE)560 b(T)-93 b(r)-62 b(ansactions)557 b(on)j(Computers\))p Fm(.)7624 43039 y(v)-34 b(ol.)538 b(C-25,)405 b(No.)538 b(8,)404 b(August)i(1976)9442 44544 y(Quine,)525 b(W.V.O.)500 b(\(1956\).)830 b(Quan)-34 b(ti\014ers)502 b(and)g(Prop)34 b(ositional)501 b(A)-34 b(ttitudes,)7624 46050 y Fl(Journal)433 b(of)g(Philosophy\))p Fm(.)535 b(53.)j(Reprin)-34 b(ted)405 b(in)f(\(Linsky)g(1971\).)9442 47555 y(Quine,)543 b(W.V.O.)514 b(\(1961\).)873 b Fl(F)-93 b(r)-62 b(om)536 b(a)f(L)-62 b(o)g(gic)g(al)534 b(Point)i(of)f(View\))p Fm(.)871 b(Harp)34 b(er)7624 49060 y(and)405 b(Ro)-34 b(w.)9442 50566 y(Y)-101 b(ap,)486 b(Chee)469 b(K.)g(\(1977\).)735 b Fl(A)493 b(Semantic)-62 b(al)493 b(A)-31 b(nalysis)492 b(of)g(Intensional)h(L) -62 b(o)g(g-)7624 52071 y(ics\))p Fm(.)1161 b(Researc)-34 b(h)612 b(Rep)34 b(ort,)664 b(IBM)611 b(Thomas)i(J.)f(W)-101 b(atson)613 b(Researc)-34 b(h)612 b(Cen)-34 b(ter,)7624 53577 y(Y)-101 b(orkto)-34 b(wn)405 b(Heigh)-34 b(ts,)405 b(New)f(Y)-101 b(ork.)538 b(R)-34 b(C)405 b(6893)g(\(#29538\).)25308 69517 y Fj(26)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF
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