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

310 indexTakeuti, Gaisi, 4, 10tale of omega (ω), 78, 78fTarski, Alfred, 131–32, 134, 164.SeealsoBanach-Tarski paradoxTarski’s theorem, 104–5Tegmark, Max, 6, 184, 187, 225, 225n17temporal infinities. See infinite time10 24 sequence, 90–91, 93–94Terjanian, Guy, 70theistic science, 251n10theological infinity, 2, 8, 9–13, 226–28, 287theology. See apophatic theology; Christiantheology; Nicene theology; Pannenberg,Wolfharttheology and infinity overview, 23–47theorem of 1873 (Cantor), 2Thomas Aquinas, Saint, 23, 32, 33n26, 33n76,37, 128, 235n2, 278, 290, 294three-sphere geometry, 171–72Tillich, Paul, 43, 46time, 22, 25, 180–82, 185–86, 186f, 218 Seeinfinite time; spacetime(s)timelike geodesics, 220–22transcendencein Arian, 261in Aristotle, 268and being, 262and Descartes, 271–72divine transcendence, 264, 290–91, 298of God, 8, 23, 212, 228, 263–72, 292,297–98and Hegel, 272–73vs. immanence, 260, 271and indeterminacy, 256, 259of infinity, 26, 35and Kant, 271–72and metaphysical pathos, 263and Nancy, 273negation by, 296of the One, 261self-transcendence, 31, 46and Spinoza, 271transcendent numbers, 26the transfinite.SeealsoCantor, Georgand Absolute infinity, 9, 11, 282defined, 1denied, 103and finite/infinite distinctions, 282–83n22and God, 248–49infinity level of, 41tmathematical transfinites, 9and Pannenberg, 287–89transformations to, 42as the veil that discloses, 283–85transfinite cardinals, 10, 39, 41n107, 41n109,96, 280, 280n16, 282transfinite hierarchy of structures, 143transfinite induction, 38, 47, 61, 97, 144transfinite infinity, 282transfinite numbers, 5, 9–11, 41, 248n9,278–79, 282–85, 282–83n22transfinite ordinals, 10, 282transfinite sets, 39–40, 41n109, 281transfinite set theories, 5, 10, 14transfinite unity, 262transfinite universe of sets, 4, 96, 103transformation, 19–24, 26, 28, 32, 37, 41,44–46, 219–20, 222n8, 224Turing, Alan, 70–71Turing machine thought experiment, 70–74,72n7Turing program e ∗ 0, 126–27Turing program e 0 , 119–28Turner, Denys, 13, 278n9, 290–98Turok, Neil, 7Two Degree Field Galaxy Redshift Survey,195n3UI. See Unlimited Improvement axiomultimate source of everything (concept), 10,234–36, 239, 241–42uniform Kleene recursion theorem, 127universe of sets (V), 3–4, 89–94, 96, 100, 102–5,110, 112, 116–17universe of sizes, 195Unlimited Improvement axiom (UI), 131–32,137–40, 161–64Very Strong Diverse Exactness axiom (VSDE),131, 138, 140, 143, 145–48, 163Vilenkin, Alexander, 181Visser, Albert, 131, 134–35von Neumann ordinals, 134Vopenka’s theorem, 101–2VSDE. See Very Strong Diverse ExactnessaxiomWarhol, Andy, 207“Warning Signs of a Possible Collapse ofContemporary Mathematics” (Nelson),76–85Weierstrass’ construction, 67Western metaphysics and the infinite, 255–74Wilkinson Microwave Anisotropy Probe(WMAP), 179, 195n6, 198–99, 202–3,202n19William of Occam, 32Wilson, Robert, 195, 200n17