Formal logic is an antiquated science, but there have been no convincing solutions of such theoretical problems as its scientific object and its scientific character. The political report of the Eighth National Party Congress has called on us "to engage in the study of the basic theories of Marxism-Leninism and of the scientific sectors closely related to Marxism-Leninism." Since there is a consensus that formal logic is a discipline that is closely related to the philosophy of Marxism-Leninism, it is therefore (...) necessary to study and clarify some of the basic problems of formal logic. (shrink)

The fluctuation-dissipation theorem is a central theorem in nonequilibrium statistical mechanics by which the evolution of velocity fluctuations of the Brownian particle under a fluctuating environment is intimately related to its dissipative behavior. This can be illuminated in particular by an example of Brownian motion in an ohmic environment where the dissipative effect can be accounted for by the first-order time derivative of the position. Here we explore the dynamics of the Brownian particle coupled to a supraohmic environment by considering (...) the motion of a charged particle interacting with the electromagnetic fluctuations at finite temperature. We also derive particle’s equation of motion, the Langevin equation, by minimizing the corresponding stochastic effective action, which is obtained with the method of Feynman-Vernon influence functional. The fluctuation-dissipation theorem is established from first principles. The backreaction on the charge is known in terms of electromagnetic self-force given by a third-order time derivative of the position, leading to the supraohmic dynamics. This self-force can be argued to be insignificant throughout the evolution when the charge barely moves. The stochastic force arising from the supraohmic environment is found to have both positive and negative correlations, and it drives the charge into a fluctuating motion. Although positive force correlations give rise to the growth of the velocity dispersion initially, its growth slows down when correlation turns negative, and finally halts, thus leading to the saturation of the velocity dispersion. The saturation mechanism in a supraohmic environment is found to be distinctly different from that in an ohmic environment. The comparison is discussed. (shrink)

Lü-shih ch'un-ch'iu [Spring and Autumn of the House of Lü] appeared on the scene in 239 B.C. This was the latter part of the Warring States period. Our country's transition from slavery to feudalism had already been basically completed, but chaotic wars of secession among the feudal princes still occurred. Remnant forces of the slave system were still quite strong, and the restoration-counterrestoration struggle between the declining slave-owning class and the newly emerging landlord class was proceeding violently. Lü Pu-wei was (...) a careerist and plotter of the declining slave-owning class and a representative of the Confucians. In response to the needs of the slave-owning class's counterrevolutionary restoration, Lü adopted the tactic of "attacking the mind." He sneaked into the government of the newly emerging landlord class in the state of Ch'in and played the role of an ardent vanguard for restoration. This big commercial slave owner, who had originally run around among Ch'in, Chao, and other states, had amassed thousands of gold pieces at home and possessed more than ten thousand slaves. He played around with political conspiracies and became chancellor of the state of Ch'in. Before King Ying Cheng of Ch'in personally took power in 238 B.C., political power fell for a time into Lü's hands. Lü Pu-wei worked in collusion with Lao Ai, a eunuch he sponsored, and joined the industrial and commercial slave owners and the aristocratic slave owners to form a frenzied restorationist force. On the one hand, they formed factions to strengthen private interests, expanded their power, and prepared for an armed coup d'état. On the other hand, they took in riff-raff [literally, people who had surrendered and rebelled], assembled Confucian scholars, set to work on ideology, and grandly created public opinion for the restoration of the slave system. At that time, a reactionary adverse current favoring the restoration of the slave system hung over the state of Ch'in. Lü-shih ch'un-ch'iu, which was compiled under Lü's direction by his retainers, was the product of this adverse current. (shrink)