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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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from potential infinity to actual i
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from potential infinity to actual i
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from potential infinity to actual i
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from potential infinity to actual i
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from potential infinity to actual i
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from potential infinity to actual i
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from potential infinity to actual i
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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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possible collapse of contemporary m
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possible collapse of contemporary m
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possible collapse of contemporary m
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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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etter than, much better than 139Unl
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some implications 141two disjuncts
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interpretation of mbt in zf 143both
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interpretation of mbt in zf 145stru
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interpretation of b + vsde + ssde i
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interpretation of z in b + sde 149y
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interpretation of z in b + sde 151p
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interpretation of z in b + sde 153p
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interpretation of z in b + sde 155p
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interpretation of z in b + sde 157p
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interpretation of z in b + sde 159D
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interpretation of zf in mbt 161Lemm
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some further results 163where P is
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PART FOURPerspectives on Infinityfr
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168 some considerations on infinity
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170 some considerations on infinity
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172 some considerations on infinity
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174 some considerations on infinity
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CHAPTER 8Cosmological Intimationsof
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178 cosmological intimations of inf
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180 cosmological intimations of inf
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182 cosmological intimations of inf
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184 cosmological intimations of inf
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186 cosmological intimations of inf
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188 cosmological intimations of inf
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190 cosmological intimations of inf
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192 cosmological intimations of inf
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194 infinity and the nostalgia of t
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196 infinity and the nostalgia of t
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198 infinity and the nostalgia of t
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200 infinity and the nostalgia of t
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202 infinity and the nostalgia of t
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204 infinity and the nostalgia of t
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206 infinity and the nostalgia of t
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208 infinity and the nostalgia of t
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210 infinity and the nostalgia of t
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212 infinity and the nostalgia of t
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214 infinity and the nostalgia of t
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216 infinity and the nostalgia of t
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CHAPTER 10Infinities in CosmologyMi
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220 infinities in cosmologyof space
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222 infinities in cosmologyspacetim
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224 infinities in cosmologythe scie
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226 infinities in cosmologyTo this
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228 infinities in cosmologythe worl
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PART FIVEPerspectives on Infinityfr
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234 god and infinity: directions fo
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236 god and infinity: directions fo
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238 god and infinity: directions fo
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240 god and infinity: directions fo
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242 god and infinity: directions fo
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244 god and infinity: directions fo
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246 god and infinity: directions fo
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248 god and infinity: directions fo
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250 god and infinity: directions fo
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252 god and infinity: directions fo
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254 god and infinity: directions fo
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256 notes on the concept of the inf
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258 notes on the concept of the inf
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260 notes on the concept of the inf
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262 notes on the concept of the inf
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264 notes on the concept of the inf
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266 notes on the concept of the inf
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268 notes on the concept of the inf
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270 notes on the concept of the inf
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272 notes on the concept of the inf
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274 notes on the concept of the inf
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276 god and infinitywith the world
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278 god and infinitychallenge until
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- Page 638: 304 indexGod and infinity.Seealsodi
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- Page 648: index 309science and infinity overv
- Page 652: index 311WMAP.SeeWilkinson Microwav