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

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PART FOURPerspectives on <strong>Infinity</strong>from Physics andCosmology
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InfinityNew Research FrontiersEdite
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The infinite! No other question has
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viiicontentsIVPerspectives on Infin
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xcontributorsCarlo RovelliSenior Me
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xiiprefacecurrently dominated by ma
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IntroductionRudy RuckerA stimulatin
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mathematical infinities 3in 1963, t
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physical infinities 5In his chapter
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physical infinities 7it might be th
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metaphysical and theological infini
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metaphysical and theological infini
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psychological and artistic infiniti
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psychological and artistic infiniti
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CHAPTER 1Infinity as a Transformati
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from to potential infinity: aristo
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from potential infinity to actual i
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Table 1.2from potential infinity to
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infinity in modern theology 43of
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infinity in modern theology 45inter
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eferences 47between theology on the
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eferences 49Ferguson, E. 1973. God
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eferences 51Sweeney, L. (ed.). 1992
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CHAPTER 2The Mathematical InfinityE
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three famous problems of antiquity
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archimedes and aristotle 59Italicus
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combinatorics and infinity 61Figure
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euler and infinity 63primes is infi
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set theory 65This view leads right
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geometry, infinity, and the peano c
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a success of set theory 69A fundame
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the turing machine and the busy bea
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the infinite in the finite: p versu
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eferences 75Gamow, G. 1947. One, Tw
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possible collapse of contemporary m
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CHAPTER 4The Realm of the InfiniteW
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the realm of the finite 91Now the c
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the realm of the finite 93By the us
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eyond the finite realm 95Set Theori
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eyond the finite realm 97of set the
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Theorem 5 (Kunen).beyond the finite
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eyond the finite realm 101(as a new
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the generic multiverse of sets 103L
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the generic multiverse of sets 105F
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the generic multiverse of sets 107i
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the generic multiverse of sets 109T
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the infinite realm 111and such that
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the infinite realm 113problem is in
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the infinite realm 115from a sequen
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conclusions 117arguably a serious f
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CHAPTER 5A Potential Subtlety Conce
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the program e 0 121of the nonnegati
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the existence of e 0 123“+” and
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the existence of e 0 125or Output(e
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the existence of e 0 127(3.3) p i+1
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eferences 129ReferencesGödel, Kurt
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introduction 131This establishes th
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interpretation power 133a. Paramete
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asic facts about interpretation pow
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etter than, much better than 137We
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Page 320: interpretation of mbt in zf 145stru
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Page 352: interpretation of zf in mbt 161Lemm
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Page 364: CHAPTER 7Some Considerations on Inf
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Page 380: eferences 175Infinity appears to me
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Page 388: infinity in inflationary cosmology
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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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