Heller M, Woodin W.H. (eds.) Infinity. New research frontiers (CUP, 2011)(ISBN 1107003873)(O)(327s)_MAml_
Heller M, Woodin W.H. (eds.) Infinity. New research frontiers (CUP, 2011)(ISBN 1107003873)(O)(327s)_MAml_ Heller M, Woodin W.H. (eds.) Infinity. New research frontiers (CUP, 2011)(ISBN 1107003873)(O)(327s)_MAml_
162 concept calculus: much better thanproof Let n, ϕ be as given. We can assume that the free variables of ϕ areamong x 1 ,...,x m , y 1 ,...,y n , z, which are distinct variables, and distinct fromx,w.Fix x, x 1 ,...,x m such that the implication fails. Let x ′ >x, x 1 ,...,x m . LetA(x ′ a 1 ,...,a m+n+1 ). By Lemma 8.7, let v be such that(∀y 1 ,...,y n
- Page 304: etter than, much better than 137We
- Page 308: etter than, much better than 139Unl
- Page 312: some implications 141two disjuncts
- Page 316: interpretation of mbt in zf 143both
- Page 320: interpretation of mbt in zf 145stru
- Page 324: interpretation of b + vsde + ssde i
- Page 328: interpretation of z in b + sde 149y
- Page 332: interpretation of z in b + sde 151p
- Page 336: interpretation of z in b + sde 153p
- Page 340: interpretation of z in b + sde 155p
- Page 344: interpretation of z in b + sde 157p
- Page 348: interpretation of z in b + sde 159D
- Page 352: interpretation of zf in mbt 161Lemm
- Page 358: 164 concept calculus: much better t
- Page 364: CHAPTER 7Some Considerations on Inf
- Page 368: infinite divisibility of space: qua
- Page 372: infinite extension of space 171Cant
- Page 376: the danger of speculating about inf
- Page 380: eferences 175Infinity appears to me
- Page 384: infinity in classic cosmological mo
- Page 388: infinity in inflationary cosmology
- Page 392: infinity in inflationary cosmology
- Page 396: infinite problems 183approaching th
- Page 400: is infinite qualitatively different
162 concept calculus: much better thanproof Let n, ϕ be as given. We can assume that the free variables of ϕ areamong x 1 ,...,x m , y 1 ,...,y n , z, which are distinct variables, and distinct fromx,w.Fix x, x 1 ,...,x m such that the implication fails. Let x ′ >x, x 1 ,...,x m . LetA(x ′ a 1 ,...,a m+n+1 ). By Lemma 8.7, let v be such that(∀y 1 ,...,y n