Heller M, Woodin W.H. (eds.) Infinity. New research frontiers (CUP, 2011)(ISBN 1107003873)(O)(327s)_MAml_

304 indexGod and infinity.Seealsodivine infinityand Absolute infinity, 285, 288, 294, 296in apophatic theology, 42Aquinas on, 32–33Aristotle on, 23, 42Augustine on, 27and the axiom of choice, 235n2and the Bible, 27Cantor on, 31, 47in Christian theology, 26n55, 27, 226–28,278Dionysius the Areopagite on, 31–32, 34–35Duns Scotus on, 32and the Enlightenment, 47and Gentzen, 47vs. God as finite, 250–51, 286vs. God as good, 13and God’s incomprehensibility, 283vs. Greek metaphysics, 47Gregory of Nyssa on, 34, 265–67, 278,290–91, 294Hart on, 12intuitive/ecstatic grasp of, 19in the Judeo-Christian traditions, 210–11Nicholas of Cusa on, 31, 33–36Origenes on, 27overviews, 233–52, 244–48and Philo, 24and the physical universe, 210Plotinus on, 24–27, 26n55, 31and potential infinity, 9predication of, 295relating to, 31–34Tillich on, 46–47“God and Infinity: Directions for FutureResearch” (Oppy), 10, 233–53“God and Infinity: Theoretical Insights fromCantor’s Mathematics” (R. J. Russell), 10,275–89Gödel, Kurtand CH, 67, 100completeness theorem of, 83, 109, 124fixed numbering of, 124, 126and Friedman’s isomorphism theorem,123–24vs. Hilbert, 47HOD class originating with, 101incompleteness theorems of, 61, 81, 90, 134on infinite sets, 14, 38limitative theorems of, 242n5and mathematic syntax, 79and Turing program e 0 , 121and ZFC 0 , 92–93ZFC axiom validation by, 100on ZF vs. CH, 2–3Gödel-Bernays class-set theory, 10Gogh, Vincent van, 208Gold, Thomas, 178, 200n17granularity of space, 169Grassmann, Hermann, 45, 275gravitation waves, 196gravity. See general relativity theory; loopquantum gravity; quantum gravityGreek concepts of the infinite, 9, 19–47, 266,277. Seealsospecific philosphersGregory of Nyssaon actual infinity, 28–31on God, 11–12, 28–31on God and infinity, 34, 265–67, 278,290–91, 294on infinity, 9and levels of infinity, 41tvs. Plotinus, 31Grim, Patrick, 244Grothendieck’s universes, 67Guth, Alan, 179Hamiltonian states, 188Harrington, Leo. See Paris-Harrington riddleHarrison-Zel’dovich scale-invariant spectrum,203Hart, David Bentley, 12–13, 255–74, 277,277n4, 290–98Hausdorff spaces, 108hedge effect, 14, 208–10Hegel, Georg, Wilhelm, 42n111, 43n114, 262,272–73, 285–88, 291Heidegger, Martin, 256, 269–70, 273–74, 291Heller, Michael, 6–8, 218–28Hermite, Charles, 67hierarchy of infinities, 183Hilbert, David, 19, 41n109, 47, 66, 79–81, 281Hilbert space, 7, 69HOD class/set, 101–2, 107, 109, 116HOD conjecture (Woodin), 109, 116homogeneous and isotropic space/spacetime,176–77, 178n3, 181, 183, 202Hopper, Edward, 209, 209fHoyle, Fred, 178, 200n17Hubble Space Telescope (HST), 195, 199n16human dignity and the infinite, 12human nature and infinity, 204–14Hume, David, 62inaccessibility of the infinite, 6, 55, 190, 196,219incompleteness theorems (Gödel), 60n5, 61, 81,83, 90, 134.Seealsocompleteness theorem