The mind-body problem receives new attention,partly under the inspiration from the success of quantum mechanics.Here I will discuss reductionism.The mind-body problem remains central to modern philosophy,no doubt stim...The mind-body problem receives new attention,partly under the inspiration from the success of quantum mechanics.Here I will discuss reductionism.The mind-body problem remains central to modern philosophy,no doubt stimulated by the progress in brain research.Following Thomas Nagel’s article on bats,one may similarly examine one of history’s champions.I will also deny reduction or physicalism,though my argument is very much simpler than Chalmers(1996).展开更多
Let M and N be the yon Neumann algebras induced by the rational action of the group SL2（R） and its subgroup P on the upper half plane H. We have shown that N is spatial isomorphic to the group von Neumann algebra L...Let M and N be the yon Neumann algebras induced by the rational action of the group SL2（R） and its subgroup P on the upper half plane H. We have shown that N is spatial isomorphic to the group von Neumann algebra Lp and characterized M and its commutant M＇ and gotten a generalization of the Mautner＇s lemma. It is also shown that the Berezin operator commutates with the Laplaeian operator.展开更多
文摘The mind-body problem receives new attention,partly under the inspiration from the success of quantum mechanics.Here I will discuss reductionism.The mind-body problem remains central to modern philosophy,no doubt stimulated by the progress in brain research.Following Thomas Nagel’s article on bats,one may similarly examine one of history’s champions.I will also deny reduction or physicalism,though my argument is very much simpler than Chalmers(1996).
基金Supported by National Natural Science Foundation of China （Grant No. 10871111） and Chongqing Municipal Education Commission （Grant No. KJ090804） and Chongqing Normal University （Grant No. 08XLB013）
文摘Let M and N be the yon Neumann algebras induced by the rational action of the group SL2（R） and its subgroup P on the upper half plane H. We have shown that N is spatial isomorphic to the group von Neumann algebra Lp and characterized M and its commutant M＇ and gotten a generalization of the Mautner＇s lemma. It is also shown that the Berezin operator commutates with the Laplaeian operator.
