We say φ is an ∀∃ sentence if and only if φ is logically equivalent to a sentence of the form ∀ x∃ y ψ(x,y), where ψ(x,y) is a quantifier-free formula containing no variables except x and y. In this paper we show that there are algorithms to decide whether or not a given ∀∃ sentence is true in (1) an algebraic number field K, (2) a purely transcendental extension of an algebraic number field K, (3) every field with characteristic (...) 0, (4) every algebraic number field, (5) every cyclic (abelian, radical) extension field over Q, and (6) every field. (shrink)

The call for "doing right things on behalf of Heaven" made by Sung Chiang, the hero of the Chinese novel Shui hu [Water Margin], has long been welcomed by some people. They think that a right thing should be defined as the "revolutionary course" or the "reason" by which rebellions can be justified and that "doing right things on behalf of Heaven" is an antigovernment slogan. They are wrong. As has been clearly demonstrated in Shui hu, right things refer (...) to the Confucian-Mencian doctrine and Neo-Confucianism in the Sung and Ming dynasties. Hanging out the white flag of reactionary Neo-Confucianism, Sung Chiang carries out the capitulationist line and buries the peasant uprising. (shrink)

Twenty years ago our great teacher and leader Chairman Mao published "On the Correct Handling of Contradictions Among the People," an epoch-making piece of Marxist literature. In this brilliant piece, Chairman Mao applied the fundamental law of the universe, the law of the unity of opposites, to sum up comprehensively the historical experience of China's socialist revolution and construction and the international Communist movement and to analyze profoundly the nature, peculiarities and laws of socialist society. He was the first in (...) the history of the development of Marxism to point out clearly that the fundamental contradictions of socialist society are still the contradiction between the productive forces and production relations and the contradiction between the superstructure and the economic base. He was the first to demonstrate clearly that even after the system of ownership of the means of production has been transformed into that of a socialist country there still exist classes, class struggle, and the danger of capitalist restoration. He was the first to indicate clearly that there exist two different kinds of contradictions in socialist society which must be rigorously distinguished and correctly handled, for which he established the great theory of continuing revolution under the dictatorship of the proletariat. On the basis of the unity of theory and practice, he resolved the issue of preventing and combating revisionism, consolidated the dictatorship of the proletariat, and stymied the threat of capitalist restoration. It was an important essay for our time concerning carrying the cause of socialist revolution through to the end, a great enrichment and development of Marxism-Leninism. To study this brilliant essay by Chairman Mao is of the greatest significance for China's current investigation and criticism of the Wang-Chang-Chiang-Yao "gang of four" anti-Party clique. (shrink)

Han Fei was a famous Legalist in the late Warring States period. During the struggle to criticize the Confucian school, he developed the theory of the "rule of law," which laid a theoretical groundwork on which the newly emerging landlord class could build a centralized feudal state. His works had been appreciated by Ch'in Shih-huang. When Ch'in Shih-huang read the book Han Fei Tzu, he sighed and said, "I would feel no regret about dying if I could meet (...) this person and become his friend." Later Ch'in Shih-huang applied this progressive theory of Han Fei in practice and developed it through practice. (shrink)

Jinakalamali Index: an annotated index to the Thailand part of Ratanapanna's chronicle Jinakalamali. Hans Penth. Pali Text Society, Oxford, and Silkworm Books, Chiang Mai 1994. xx, 358 pp. £13.00.

The "gang of four" — Wang Hung-wen, Chang Ch'un-ch'iao, Chiang Ch'ing and Yao Wen-yuan — have created great chaos by confusing the relations between ourselves and the enemy, obliterating the differences between the two kinds of contradiction, wrecking Chairman Mao's policy of uniting with, educating and reforming intellectuals, calling intellectuals the "stinking number nine," smothering the revolutionary initiative of the broad masses of intellectuals, and destroying the ranks of revolutionary intellectuals.

The I Ching, or Book of Changes, has been one of the two or three most influential books in the Chinese canon. It has been used by people on all levels of society, both as a method of divination and as a source of essential ideas about the nature of heaven, earth, and humankind. During the eleventh and twelfth centuries, Sung dynasty literati turned to it for guidance in their fundamental reworking of the classical traditions. This book explores how four (...) leading thinkers--Su Shih, Shao Yung, Ch'eng I, and Chu Hsi--applied the I Ching to these projects. These four men used the Book of Changes in strikingly different ways. Yet each claimed to find in it a sure foundation for human values. Their work established not only new meanings for the text but also new models for governance and moral philosophy that would be debated throughout the next thousand years of Chinese intellectual history. By focusing on their uses of the I Ching, this study casts a unique light on the complex continuity-within-change and rich diversity of Sung culture. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. (shrink)

In order to usurp the Party, seize power and restore capitalism, the Wang-Chang-Chiang-Yao anti-Party clique has turned out counterrevolutionary opinions in the ideological realm. They have tried in every way to distort and revise history and have fabricated the "struggle between the Confucianists and the Legalists" in history. They have confounded different social contradictions and have replaced the class struggle with the "struggle between the Confucianists and the Legalists" and the antagonism within the landlord class with the "line struggle." (...) To them, Legalists were always "progressive" and "innovative" while Confucianists always "represented the forces of restoration." They have tried their best to glorify emperors, kings, generals and ministers in history, to praise Legalists as "saviors," to cover up the Legalists' nature as an exploiting class, to call for metaphysics and the idealist viewpoint of history, and to turn out revisionist fallacies. Because important changes took place in the Confucian and Legalist schools during the periods of the Western and Eastern Han dynasties, the "Gang of Four" and the writers in its service have showed a great interest in histories of the dynasties and have published a series of articles on the so-called "struggle between the Confucianists and the Legalists." In the current struggle against the "Gang of Four," it is of great practical significance to review the changes in the Confucian and Legalist schools and their roles and class nature during the Han dynasties, to criticize and expose the criminal clique's counterrevolutionary political intrigues and plots, and to clarify the historical facts confused by the "Gang of Four.". (shrink)