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CONTENTS Tables and Illustrations 9 Introduction: Experiences with Unpredictable Events 11 PART I THE SOVEREIGNTY OF GOD 1 The Bible as a Source for Knowledge 19 2 God’s Sovereignty 23 3 Unpredictable Events 33 4 Disasters and Suffering 41 5 Human Choice 53 6 Small Random Events 63 7 Reflecting on Creation and Providence 71 8 God’s Sovereignty and Modern Physics 77 9 What Is Chance? 91 PART II GOD AS THE FOUNDATION FOR CHANCE 10 Regularities and Unpredictabilities 101 11 Trinitarian Foundations for Chance 107 12 Responding to Chance 115 13 Chance in Evolutionary Naturalism 123 14 Chance and Idolatry 133 PART III PROBABILITY 15 What Is Probability? 145 16 Predictions and Outcomes 155
17 Theistic Foundations for Probability 161 18 Views of Probability 169 19 Subjectivity and Probability 179 20 Entanglement of Probabilities 189 21 Probabilistic Independence 197 22 Independence and Human Nature 203 23 Is God Probable? 213 PART IV PROBABILITY AND MATHEMATICS 24 Pictures of Probability 221 25 Mathematical Postulates for Probability 229 26 Theistic Foundations for Some Properties of Probability 239 27 Limitations in Human Thinking about Events and Probabilities 249 28 Conclusion 257 APPENDICES A Why Gambling Systems Fail 263 B The Real Problem with Gambling 279 C A Puzzle in Probability 283 D Interacting with Secular Philosophical Views of Probability 293 E Permutations and Combinations 303 F The Birthday Problem 315 G Diseases and Other Causes 321 H Proofs for Probability 329 I Statistics 333 J The Law of Large Numbers versus Gamblers 337 Bibliography343 General Index 347 Scripture Index 353
Page 1 and 2: C H A N C E A N D T H E S O V E R E
Page 4: CHANCE AND THE SOVEREIGNTY OF GOD
Page 7: Chance and the Sovereignty of God:
Page 11 and 12: 10 Tables and Illustrations 9.2 Fra
Page 13 and 14: 12 Introduction had escaped an acci
Page 15 and 16: 14 Introduction of evolution. Accor
Page 18: PART I THE SOVEREIGNTY OF GOD
Page 21 and 22: 20 The Sovereignty of God something
Page 24 and 25: CHAPTER 2 GOD’S SOVEREIGNTY Accor
Page 26 and 27: God’s Sovereignty 25 the sea, and
Page 28 and 29: God’s Sovereignty 27 The Lord has
Page 30 and 31: God’s Sovereignty 29 declaring th
Page 32 and 33: God’s Sovereignty 31 Fig. 2.3: Go
Page 34 and 35: CHAPTER 3 UNPREDICTABLE EVENTS What
Page 36 and 37: Unpredictable Events 35 with her, a
Page 38 and 39: Unpredictable Events 37 case if the
Page 40: Unpredictable Events 39 formed thro
Page 43 and 44: 42 The Sovereignty of God womb, and
Page 45 and 46: 44 The Sovereignty of God I know th
Page 47 and 48: 46 The Sovereignty of God particula
Page 49 and 50: 48 The Sovereignty of God I form li
Page 51 and 52: 50 The Sovereignty of God that woul
Page 53 and 54: 52 The Sovereignty of God appears t
Page 55 and 56: 54 The Sovereignty of God God used
Page 57 and 58: 56 The Sovereignty of God bear the
Page 59 and 60:
58 The Sovereignty of God This anal
Page 61 and 62:
60 The Sovereignty of God of human
Page 64 and 65:
CHAPTER 6 SMALL RANDOM EVENTS We ha
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Small Random Events 65 Therefore do
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Small Random Events 67 as selecting
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Small Random Events 69 the human ma
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72 The Sovereignty of God This conf
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74 The Sovereignty of God God has e
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76 The Sovereignty of God He trusts
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78 The Sovereignty of God LARGE-SCA
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80 The Sovereignty of God QUANTUM E
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82 The Sovereignty of God hoped, wo
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84 The Sovereignty of God determini
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86 The Sovereignty of God DETAILED
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88 The Sovereignty of God rule the
Page 92 and 93:
CHAPTER 9 WHAT IS CHANCE? So what i
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What Is Chance? 93 Lord has establi
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What Is Chance? 95 Non-Christian tr
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What Is Chance? 97 Fig. 9.3: Frame
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CHAPTER 10 REGULARITIES AND UNPREDI
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Regularities and Unpredictabilities
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Regularities and Unpredictabilities
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108 God as the Foundation for Chanc
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Page 113 and 114:
Page 116 and 117:
CHAPTER 12 RESPONDING TO CHANCE How
Page 118 and 119:
Responding to Chance 117 truth. [19
Page 120 and 121:
Responding to Chance 119 “Chance
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Responding to Chance 121 THE REMEDY
Page 125 and 126:
Page 127 and 128:
Page 129 and 130:
Page 131 and 132:
Page 134 and 135:
CHAPTER 14 CHANCE AND IDOLATRY We h
Page 136 and 137:
Chance and Idolatry 135 The Old Tes
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Chance and Idolatry 137 Some people
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Chance and Idolatry 139 What about
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Chance and Idolatry 141 these pract
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PART III PROBABILITY
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146 Probability make it very probab
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148 Probability than being manipula
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150 Probability We can see certaint
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152 Probability The additive princi
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CHAPTER 16 PREDICTIONS AND OUTCOMES
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Predictions and Outcomes 157 A prio
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Predictions and Outcomes 159 TRICKS
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162 Probability coin would not work
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164 Probability candidate. Chance,
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166 Probability character. Jesus sa
Page 170 and 171:
CHAPTER 18 VIEWS OF PROBABILITY Mod
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Views of Probability 171 of heads i
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Views of Probability 173 himself is
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Views of Probability 175 the founda
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Views of Probability 177 A TRUE FOU
Page 181 and 182:
180 Probability available informati
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182 Probability David does not say
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184 Probability that in order for t
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186 Probability to 5? Obviously the
Page 190 and 191:
CHAPTER 20 ENTANGLEMENT OF PROBABIL
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Entanglement of Probabilities 191 r
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Entanglement of Probabilities 193 B
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Entanglement of Probabilities 195 o
Page 199 and 200:
198 Probability has come up heads.
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200 Probability We can observe a co
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202 Probability god about whom a pe
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204 Probability a “system”—a
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206 Probability control does not im
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208 Probability the seed the value
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210 Probability unpredictable. That
Page 214 and 215:
CHAPTER 23 IS GOD PROBABLE? Some pe
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Is God Probable? 215 now suppose th
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Is God Probable? 217 we suppress th
Page 220:
PART IV PROBABILITY AND MATHEMATICS
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222 Probability and Mathematics 1/6
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224 Probability and Mathematics In
Page 227 and 228:
226 Probability and Mathematics Fig
Page 230 and 231:
CHAPTER 25 MATHEMATICAL POSTULATES
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Mathematical Postulates for Probabi
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Page 236 and 237:
Page 238:
Page 241 and 242:
240 Probability and Mathematics wil
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242 Probability and Mathematics And
Page 245 and 246:
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Page 250 and 251:
CHAPTER 27 LIMITATIONS IN HUMAN THI
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Limitations in Human Thinking about
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Page 256:
Page 259 and 260:
258 Probability and Mathematics pra
Page 262:
APPENDICES
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264 Appendix A payoff in blackjack,
Page 267 and 268:
266 Appendix A in the long run, an
Page 269 and 270:
268 Appendix A Suppose, however, th
Page 271 and 272:
270 Appendix A Table A.1: Chances f
Page 273 and 274:
272 Appendix A $1,048,576, we can s
Page 275 and 276:
274 Appendix A If his stake is over
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276 Appendix A average, it will gai
Page 279 and 280:
278 Appendix A means that the gambl
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280 Appendix B the nature of events
Page 284 and 285:
APPENDIX C A PUZZLE IN PROBABILITY
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A Puzzle in Probability 285 (1) pic
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A Puzzle in Probability 287 This si
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A Puzzle in Probability 289 contest
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A Puzzle in Probability 291 (1/3) =
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294 Appendix D 2. If people do not
Page 297 and 298:
296 Appendix D If she is willing to
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298 Appendix D of a coin or a die o
Page 301 and 302:
300 Appendix D Various sciences exp
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302 Appendix D influenced by views
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304 Appendix E THH THT TTH TTT Simi
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306 Appendix E Barbara could draw v
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308 Appendix E Or we can write it o
Page 311 and 312:
310 Appendix E The number of five-c
Page 313 and 314:
312 Appendix E numbered labels on t
Page 316 and 317:
APPENDIX F THE BIRTHDAY PROBLEM Man
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The Birthday Problem 317 When we in
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The Birthday Problem 319 ested not
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322 Appendix G out of every 1,000 p
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324 Appendix G RETHINKING THE CASE
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326 Appendix G = P(B | A 1 ) × P(A
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APPENDIX H PROOFS FOR PROBABILITY I
Page 332 and 333:
Proofs for Probability 331 Theorem
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APPENDIX I STATISTICS Statistics de
Page 336:
Statistics 335 to be part of the sa
Page 339 and 340:
338 Appendix J the expected proport
Page 341 and 342:
340 Appendix J heads would have to
Page 344 and 345:
BIBLIOGRAPHY Ash, Robert B. Basic P
Page 346:
Bibliography 345 Rumsey, Deborah. P
Page 349 and 350:
348 General Index concursus (Latin:
Page 351 and 352:
350 General Index Joash, 36 Job, 41
Page 353 and 354:
352 General Index for, 128-129; nat
Page 355 and 356:
354 Scripture Index 1 Samuel 10:20-
Page 357 and 358:
356 Scripture Index 10:29 63, 103 1
Page 360:
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