INDEX 385ethics: of Aristotle, 97–98; epistemologyand, 74; ethical determinism,125–29; ethicaltheory, 97–98, 235; of paradox,91–93; principles of commonsense and, 273Etienne Tempier, 188–89Euathlus, 62–63Eubulides, 83–99Euclid, 299Euclides, 71, 72–73, 74, 76, 78, 81–82Euler, Leonhard, 106–7Eurymedon, 86Eusebius, 84Euthydemus (Plato), 112, 192evaluative finitism, 233evolutionary theory, 11, 281–82, 356existence, 141–42, 240experience, 33–34, 253, 303faith, 165–66. See also Christianityfallacy of composition, 53false identity statements, 79falsidical paradoxes, 351–54, 358family resemblance doctrine, 347fatalism, 116–29Fermat, Pierre, 227, 231finite numbers, 319finitism, evaluative, 233flight, 222forms, 60–61, 74, 296, 337Foundations of Statistics (Savage),233Fraassen, Bas van, 250fractions, 20Franks, Bobby, 126–27freedom, 290–92freewill, 128, 191, 290–92, 301–2,336Frege, Gottlob, 89, 329, 331, 336fusions, 361Gaia hypothesis, 134Galileo, 360gambler’s fallacy, 15Gazzaniga, Michael, 286gears, 220–21, 220 (fig)genetic fallacy, 181geometry. See also mathematics:contradictions in, 317; Egyptians’interest in, 20; geometricalprobability paradoxes, 246–49; independent axioms, 272;principles of common sense and,273; probability, 245–51; RhindPapyrus, 20–21Germans, 37–38Gibbard, Allan, 140, 145–46Giles of Rome, 199gnomons, 23, 23 (fig)God. See also Christianity; metaphysics:Augustine’s portrayalof, 173; common sense and, 281–82; existence of, 16–17, 106–7,166, 218–19, 241–42, 273, 292,301; immutability of, 177–80;nature of, 180–82; omniscience,180, 192; thoughts of, 240God: A Biography (Miles), 177, 181–82Gödel, Kurt, 90, 107, 367–68gods paradox, 55–56Goethe, Johann, 309Goodman, Nelson, 155–56, 354–55,361–62Goodman’s paradox, 356gradualism about paradoxes, 369–71grammatical sophisms, 202grandfather paradox, 118Greek culture, 20, 37Grelling, Kurt, 332
386 INDEXgrowing argument, 130–33, 133–34,135–36, 137–38, 140Halley, Edmond, 228Hardy, G. H., 362–63Harman, Gilbert, 159–60Hatshepsut, 39Hayes, Patrick, 281heap paradox, 53Hegel: A Reexamination (Findlay),314Hegel, Georg Wilhelm Friedrich,303–15, 319Heidegger, Martin, 38Hempel, Carl, 357Heraclitus, 27, 33, 78, 131, 307, 310Herodotus, 12, 13–14, 20Hesiod, 3Hiappasus of Metapontum, 25Hiappasus’s paradox, 25–26Hindu culture, 21Hintikka, Jaakko, 106History of England (Hume), 252A History of (Beckman), 182Hobbes, Thomas, 132, 314Hodja, Nasreddin, 313Hoffman, Albert, 151Homer, 34–35, 36–37homunculi, 8–9, 343hooded man. See paradox of theveiled figureHume, David, 252–55, 270, 272–73,278, 295Huygens, Christian, 221idealism, 319ideas, 254, 266, 269identicals, substitutivity of, 78identity: Chrysippus, 136–47; identityassumption, 141; identityparadoxes, 71–72, 299; identitystatement, 78, 80–81; of indiscernibles,243–44; necessity of,145–46ignorance, 74illness, 231imaginary numbers, 304–5In Praise of Folly (Erasmus), 162–63incompleteness theorem, 107–8inconsistency, 111Indiana House of Representatives,60indiscernibles principle, 243–44induction, 354–57inference rules, 367infinity. See also mathematics:axiom of infinity, 368; complexityof, 17; Descartes on, 218;Greeks on infinity, 20; infiniteanalysis, 241; infinite number oftasks, 54–55; infinite numbersand, 318; infinite populations,235; infinite sequence, 10; infinitetime, 2, 233–34, 235; infiniteutility, 232; infinite value,233–34, 235; infinitesimals, 318;Peter of Spain on, 188; prone toparadox, 12; Wittgenstein on,348; Zeno on, 47inheritance theory, 11Inquiry into the Human Mind: On thePrinciples of Common Sense(Reid), 268–69inquiry paradox, 64–65, 80insolubles, 194–99, 202–3, 210–12insurance industry, 227–28intellectual perversion, paradoxes as,312–13intentions in conflict, 56Introduction to Metaphysics(Heidegger), 38Inwagen, Peter van, 141–42
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Tothose who neverhave a book dedica
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ContentsList of FiguresPrefaceixxiO
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PrefaceMathematicians characterize
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PARMENIDES ON WHAT IS NOT 29city th
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T W E N T Y - O N EHegel’s World
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RUSSELL’S SET 317THE HEGELIAN HUN
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RUSSELL’S SET 319Georg Cantor was
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RUSSELL’S SET 321Russell now pict
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RUSSELL’S SET 323Fig. 22.2to have
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RUSSELL’S SET 325Fig. 22.4Now con
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RUSSELL’S SET 327Russell realized
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