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

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Page 4: InfinityNew Research FrontiersThis
Page 10: cambridge university pressCambridge
Page 16: ContentsContributorsPrefaceAcknowle
Page 20: ContributorsWolfgang AchtnerCampus
Page 24: PrefaceInfinity: New Research Front
Page 28: AcknowledgmentsThe editors wish to
Page 34: 2 introductionAnd, finally, in the
Page 38: 4 introductionof the transfinite un
Page 42: 6 introductionBut suppose our physi
Page 46: 8 introductionHeller describes how
Page 50: 10 introductionis the liberation fr
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12 introductionIn its own way, Davi
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14 introductionAnother possibility
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PART ONEPerspectives on Infinityfro
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20 infinity as a transformative con
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PART TWOPerspectives on Infinityfro
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56 the mathematical infinityfrom th
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58 the mathematical infinityFigure
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60 the mathematical infinitysimple,
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62 the mathematical infinityFigure
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64 the mathematical infinityThis ki
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66 the mathematical infinitynumbers
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68 the mathematical infinityThis pu
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70 the mathematical infinityn. If w
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72 the mathematical infinitymachine
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74 the mathematical infinityof a pr
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CHAPTER 3Warning Signs of a Possibl
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78 possible collapse of contemporar
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PART THREETechnical Perspectives on
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90 the realm of the infiniteour col
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92 the realm of the infinitethat th
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94 the realm of the infinitethat co
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96 the realm of the infinitefor whi
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98 the realm of the infiniteThis mu
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100 the realm of the infiniteMoreov
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102 the realm of the infiniteThis t
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104 the realm of the infinitesets)
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106 the realm of the infinite4.4.1
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108 the realm of the infiniteBut on
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110 the realm of the infiniteTheore
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112 the realm of the infiniteThis a
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114 the realm of the infiniteThe de
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116 the realm of the infiniteSuppos
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118 the realm of the infiniteRefere
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120 a potential subtlety concerning
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CHAPTER 6Concept Calculus: MuchBett
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132 concept calculus: much better t
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CHAPTER 7Some Considerations on Inf
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infinite divisibility of space: qua
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infinite extension of space 171Cant
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the danger of speculating about inf
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eferences 175Infinity appears to me
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infinity in classic cosmological mo
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infinity in inflationary cosmology
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infinity in inflationary cosmology
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infinite problems 183approaching th
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is infinite qualitatively different
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eferences 191universe is initially
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CHAPTER 9Infinity and the Nostalgia
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vast universe and physical infinity
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hints of infinity in the primordial
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hints of infinity in the primordial
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the impossible proof 201Albrecht an
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infinity is not enough 203Let’s n
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infinity and the heart of human nat
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the art of immensity 207person. A h
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the art of immensity 209Figure 9.2.
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what is man? 211of mechanical antec
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epilogue 213acknowledge the workmas
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eferences 215Bersanelli, M. 2005. A
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eferences 217Riess, A. G., et al. 2
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conformal infinity 219In Sections 1
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infinitely divergent 221beginning a
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structure of singularities 223causa
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infinity of universes 225of the ini
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theological lesson 227as derivative
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eferences 229Hawking, S. W., and El
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CHAPTER 11God and Infinity: Directi
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a question for investigation 235eve
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predicates and properties 237metaph
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understanding properties 239the pro
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infinite domains and infinite degre
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infinite domains and infinite degre
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god and infinity 245very subtle way
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god and infinity 247If, then, we ta
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checking for consistency 249extent.
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a concluding stocktaking 251is actu
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eferences 253contested philosophica
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CHAPTER 12Notes on the Concept of t
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the metaphysical concept of the inf
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the metaphysical concept of the inf
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the “christian infinite” 261Thu
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the “christian infinite” 263of
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the “christian infinite” 265dis
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the “christian infinite” 267Pri
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the “christian infinite” 269und
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the decline of the christian infini
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the decline of the christian infini
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CHAPTER 13God and Infinity: Theolog
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a note on infinity in mathematics,
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enriching our theological understan
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eferences 289of the divine attribut
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a (partially) skeptical response to
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Indexthe Absolute, 1, 9-11, 14, 227
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index 301antinomies in, 40-42on the
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index 303Euclidean space, 5, 177, 1
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index 305indeterminacy, 12, 255-57,
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index 307Nietzsche, Friedrich, 273n
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index 309science and infinity overv
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index 311WMAP.SeeWilkinson Microwav
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Heller M, Woodin W.H. (eds.) Infinity. New research frontiers (CUP, 2011)(ISBN 1107003873)(O)(327s)_MAml_

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