▁the ▁conclusion ▁that ▁Cont inu um ▁Hyp oth esis ▁has ▁a ▁truth ▁value ▁and ▁the ▁Pl aton istic ▁approach ▁is ▁reasonable . ▁ ▁Wood in ▁now ▁predict s ▁that ▁there ▁should ▁be ▁a ▁way ▁of ▁construct ing ▁an ▁inner ▁model ▁for ▁almost ▁all ▁known ▁large ▁card inals , ▁which ▁he ▁calls ▁the ▁Ult imate ▁L ▁and ▁which ▁would ▁have ▁similar ▁properties ▁as ▁Gö del ' s ▁construct ible ▁universe . ▁In ▁particular , ▁the ▁Cont inu um ▁Hyp oth esis ▁would ▁be ▁true ▁in ▁this ▁universe . ▁ ▁See ▁also ▁AD + ▁ ▁References ▁ ▁External ▁links ▁ ▁Home ▁page ▁at ▁University ▁of ▁California , ▁Ber keley ▁Wood in ' s ▁pl en ary ▁talk ▁at ▁the ▁ 2 0 1 0 ▁International ▁Congress ▁of ▁Mathemat icians ▁In compatible ▁ Ω - Complete ▁The ories ▁ ▁( with ▁Peter ▁Ko ell ner ), ▁ ▁Journal ▁of ▁Symbol ic ▁Log ic , ▁Volume ▁ 7 4 , ▁Issue ▁ 4 ▁( 2 0 0 9 ), ▁ 1 1 5 5 – 1 1 7 0 .. ▁ ▁Category : American ▁log icians ▁Category : 2 0 th - century ▁mathemat icians ▁Category : 2 1 st - century ▁mathemat icians ▁Category : 1 9 5 5 ▁birth s ▁Category : L iving ▁people ▁Category : F ell ows ▁of ▁the ▁American ▁Academy ▁of ▁Arts ▁and ▁Sciences ▁Category : Univers ity ▁of ▁California , ▁Ber keley ▁al umn i ▁Category : Univers ity ▁of ▁California , ▁Ber keley ▁fac ulty ▁Category : Set ▁the