I am reading Halvorson's thesis (http://philsci-archive.pitt.edu/346/1/main-new.pdf), however I don't understand a proof at p.50 where he tries to explain why the split property allows a local agent to disentangle his system from its environment for all practical purposes. He proves that $P_iXP_i=c_iP_i$ on $P_i\mathcal{H}$ hence $T(X)=\rho(X)1$ and then says that by summing over $i$ one gets the result. However, the $1$ in the previous equality is the identity on $P_i\mathcal{H}$, so I don't understand how he can perform the sum. Any insights?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.