Confucius attaches great importance to the relationship between benevolence, wisdom and courage. Benevolence is the core of Confucius＇s moral principle, which reflects the principle of Confucius values; Wisdom is the...Confucius attaches great importance to the relationship between benevolence, wisdom and courage. Benevolence is the core of Confucius＇s moral principle, which reflects the principle of Confucius values; Wisdom is the recognition of the principle of benevolence and other values; Courage is the inner belief to achieve benevolence. Putnam rejected the dichotomy, of facts and value, he thought value problem also have cognitive meaning. This theory maintenance the relationship between benevolence, wisdom and courage is reasonable. To discuss the relationship between benevolence, wisdom and courage in the context of Putnam＇s value theory will help us to achieve the benevolence thought modernization.展开更多
In [1—3], we have discussed problems on the Putnam-Fuglede theorem of non-normal operators which reduce AX=XB’（AXB=X） to A*X =XB* （A*XB* =X）. For the normal operators the following problems are considered: Let ...In [1—3], we have discussed problems on the Putnam-Fuglede theorem of non-normal operators which reduce AX=XB’（AXB=X） to A*X =XB* （A*XB* =X）. For the normal operators the following problems are considered: Let （N1, …,Nn） and （M1,…, Mn） be two groups of commuting normal operators, and we展开更多
In this letter, we shall prove the asymptotic Putnam-Fuglede theorem of hyponormal operators by using the Berberian technique: Let H oe a Hilbert space and Iet X={{x_n}}:{x_n} is a bounded sequence in H}.
For bounded linear operators on a Hilbert space, we prove that the following three forms of the Putnam-Fuglede theorem are equivalent. Theorem PF. If M and N are normal operators and X is an operator, then MX=XN
The relationships between Hilary Putnam and the pragmatists （especially William James and John Dewey） are obvious but subtle. To shed some light on this issue, the author will explore a key issue that not only stand...The relationships between Hilary Putnam and the pragmatists （especially William James and John Dewey） are obvious but subtle. To shed some light on this issue, the author will explore a key issue that not only stands as Putnam＇s main inheritance from the pragmatists, but that also illuminates the relationships between them more clearly than any other issues. This key issue is the understanding of perception and the philosophical position that arises from this understanding. The author argues that in adopting Dewey＇s transactionalism （or interactionalism）, Putnam advances from James＇ insight to Dewey＇s, a shift that is particularly manifest in Putnam＇s attempt to add another layer of meaning to what he refers to as the second naivete that he detects and appreciates in James＇ natural realism.展开更多
文摘Confucius attaches great importance to the relationship between benevolence, wisdom and courage. Benevolence is the core of Confucius＇s moral principle, which reflects the principle of Confucius values; Wisdom is the recognition of the principle of benevolence and other values; Courage is the inner belief to achieve benevolence. Putnam rejected the dichotomy, of facts and value, he thought value problem also have cognitive meaning. This theory maintenance the relationship between benevolence, wisdom and courage is reasonable. To discuss the relationship between benevolence, wisdom and courage in the context of Putnam＇s value theory will help us to achieve the benevolence thought modernization.
文摘In [1—3], we have discussed problems on the Putnam-Fuglede theorem of non-normal operators which reduce AX=XB’（AXB=X） to A*X =XB* （A*XB* =X）. For the normal operators the following problems are considered: Let （N1, …,Nn） and （M1,…, Mn） be two groups of commuting normal operators, and we
文摘In this letter, we shall prove the asymptotic Putnam-Fuglede theorem of hyponormal operators by using the Berberian technique: Let H oe a Hilbert space and Iet X={{x_n}}:{x_n} is a bounded sequence in H}.
文摘For bounded linear operators on a Hilbert space, we prove that the following three forms of the Putnam-Fuglede theorem are equivalent. Theorem PF. If M and N are normal operators and X is an operator, then MX=XN
文摘The relationships between Hilary Putnam and the pragmatists （especially William James and John Dewey） are obvious but subtle. To shed some light on this issue, the author will explore a key issue that not only stands as Putnam＇s main inheritance from the pragmatists, but that also illuminates the relationships between them more clearly than any other issues. This key issue is the understanding of perception and the philosophical position that arises from this understanding. The author argues that in adopting Dewey＇s transactionalism （or interactionalism）, Putnam advances from James＇ insight to Dewey＇s, a shift that is particularly manifest in Putnam＇s attempt to add another layer of meaning to what he refers to as the second naivete that he detects and appreciates in James＇ natural realism.
