Beyond the Limits of Thought

287 Pages·1995·2.814 MB·English

by  Graham Priest

Beyontdh eL imits
of Thought
GRAHAM PRIEST
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Contents
page
Preface xiv
Introduction 1
Beyond thel imit 3
IT hel imiotfts h ought 3
2 Dialetheism 4
3 Theh istooryfl imits 6
4 The structouftre h eb ook 7
5 . a.n d.t her oloef l ogiinci t 8
Part I The limiotsf tb ougbitn p re-Kantipahni losopby 9
Thel imiotfes x pression II
Introduction 11
IT hefl ux 12
2 Plataog aiCnrsatt ylus 13
3 Thes tabiolfim teya ning IS
4 Aristootnls eu bstaannced c hange 17
5 Primmea tter 18
6 Thep roblweimt phr immea tter 20
7 Subjecatn df orm 21
8 Cusanuso nG od 23
9 Objectasn dc ategories 24
Conclusion 2S
2 Thel imiotfis t eration 26
Introduction 26
I Generatiedn finities 27
2 . . .i nA ristotle 27
3 Time 28
4 Motion 30
x Contents
5 Thec ontinuum 31
6 InfiniQtaer ts 33
7 Aguinacso's mologiacraglu ment 35
8 Leibnirze'p air 38
9 TheQ rincioQfsl ueffi cierneta son 40
CQP!<lusiQP 41
3 Thel imiotfcs o gnition 43
Introduction 43
Varietioefss k eQticism 44
2 Sextusa'r gumefnotrs keQticism 46
3 AnalYl!iosft hea rgument 47
4 SkeEticainsdsem l f-reference 49
5 Protasorreealna tivism 52
6 Thea rgumefnotrr elativism 53
7 Socrateast't ack �
8 Nothiinsgt rue 56
9 C08!!itiaonnd � radox 58
Conclusion 52
4 Thel imiotfcs o nQcteion 61
Introdu!<tiQO 61
Anselmo'nst oloi!acarlg ument 61
2 The inconceiivlaibotf�G od 63
3 The characteripsraitnicoinp le 64
4 Berkclemfass tearr gumefnotri dealism 65
5 Anal�ssitsa.gI e 66
6 Anal�ssitsa.�I I 69
7 Berkelerfess ponse 71
8 Someo bjections 74
9 Berkel��'rsa dox 76
CQDI;lusiQP 12
Part 2T beli miotfst bouignbK ta nt Haegnedl 79
5 Noumenaand thec ategories 81
Ip![()dllcljop 81
IP henQlnenaan dn oumepa 82
2 Thec ategoorfij esu dgment 83
3 Thea Eplicabiolfti htecy a tegories 85
4 The laQw fca llS3liQP 81
5 Thec ontradincattouryor efn oumena 88
6 Analogy 91
Conclusion 23
Conlents xi
6 Kant'sa ntinomies 94
Introduction 94
Thet arnscendentamlu sion 94
2 Thea ntinomitcshe'i arbs tracstl ructu!'C 96
3 Firasntt imnyo:t hebe ginnionfgt hec osmos 97
4 Second antinotmhy:ed iviisibiltyo fm atter 99
5 Thiradnt inmoy:ca usalc hains 101
6 Fourtahn timnyo:a necessary being 103
7 Kants'osl ution(s) 106
8 Evaluation 109
9 Fiftahn tinotmhye:l imoiftt huoght 110
Conclusion 112
7 Hegeli'nsfi nities 113
Introduction 113
Hegelc'rsi tioqfuK ea nt 113
2 Contradictiinto hne w orld 114
3 Hegeld'isa lectic 115
4 The falsei nfiniet 116
5 Thet rujen finilc 119
Conclusjno 121
Part3 Limits and the paradoxoesfse lf-reference 123
8 Absoluitnefin ity 125
Inrotductoin 125
Theo rdinals 126
2 Cantora'bssou lte.m arkI 127
3 Diagonalisation 130
4 Paradox 132
5 aKnta ndCa ntor 133
6 Cantora'bss olumtaer,k( ( 134
7 Thed omaipnri nciple 136
8 andi tdsc fence 138
Conclusion 140
9 Vicicoiursc les 141
Introduction 141
Russell'psa radox 141
2 Russell'scsh ema 142
3 Definability 144
4 Thei nclosscuhreem a 147
S Moreo nt hien closscuhreem a 148
6 Russell'VsC Pa ndt het heooryf o rders 149
7 Systemaamtbiicg uity 151
8 Thes oluttihoanrt e produtcesh ep roblem 154
Conclusion 154
xii Contents
\0P arameterisation 155
Introduction ISS
Ramse:{st wof amilies ISS
2 GroupB ii 157
3 Inclosaunrdet sh el imiotfse xpression 161
4 Groul!B :R amse:{ss olution 162
5 . . .a ndi tinsa degua� 164
6 Parameteriisnag teinoenr al 166
7 . . .an di tisn adegua� 168
CQDI:IIISiQD 111
IIS etasnd �1!lS5!:S 112
Introduction 112
Zermelo'sso lut:iZ QnE 113
2 Intuitiaon!!n iIDQ!s!t1l1 ZE I1S
3 Indefinietxetle:r:n stiobtlael ities 177
4 VonN eumanann dI2 ro�rc lasses 179
5 Thep rinciopful nei fosroml ution 183
6 . . a. n di nclosI!uarrea doxes 184
7 Unifietdh eories 18�
8 CurrI!:ta radoxes 185
Conclusion 186
Techniacpapeln dix 188
Introduction 188
SemantoifcL sP 182
2 Thec ollapsing lemma 190
3 A firstm odeolf i nclosure 121
4 Morec oml!lemxod els 192
Conclusion 193
Part L4a nguaangdie t limsi ts 195
12 Theu nity oft hought 197
Intro!!uctiQn 197
Fregceo,n ceal2ntd o bject 197
2 Thec oncephto rsf! 199
3 Wiltgensatnedti hnel imiotfst hought 202
4 Languaganed t hew orld 203
5 Sa:tinagn ds howing 204
6 Thed eterminoafsc eyn se 205
7 Structural' facts' 207
8 Sayintgh eu nsayable 209
9 Thel adder 210
CQnciusiQn 211
Contents xiii
13T ranslarteifoenr.e anncdte r,u th ill
Introduction ill
Quinacn dt hem ytho ft hcm useum ill
2 hTei ndetenninoaftc rya nslation lli
3 Beyondt hel imoitfe xpression ill
4 The indetenninoafrec fy erence 2.20
5 Relatreifveer encc ill
6 Davidstornu.t ahn.dm eaning �
7 Semanclliocs aunred c ontradjction 226.
Conclusion 228
14C onsciousrnuelseassnd,, d ifferance 222
Introduction 222.
IW ittgensatnedni anm es 2.lll
2 Folloiwnga rule ill
3 Language games ill
4 Derridao np resence 235
5 anda bsence ill
6 Ococnstmctjon 2Jl!
7 There venogfeC ratuysl 239
8 Di{ferance ill
9 andi nclosure ill
Conclusion 2.44
ConclusTihoenp :e rsistoefin ncec losure 241
I Thep attern 249
2 Limitatthievoer ems 250
3 The uGnriimv erse III
4 Hegealn di nclosure 255
Bihliographr ill
Index 2M
Preface
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