This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and (...) made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

The work of which this is an English translation appeared originally in French as Precis de logique mathematique. In 1954 Dr. Albert Menne brought out a revised and somewhat enlarged edition in German. In making my translation I have used both editions. For the most part I have followed the original French edition, since I thought there was some advantage in keeping the work as short as possible. However, I have included the more extensive historical notes of Dr. Menne, his (...) bibliography, and the two sections on modal logic and the syntactical categories, which were not in the original. I have endeavored to correct the typo graphical errors that appeared in the original editions and have made a few additions to the bibliography. In making the translation I have profited more than words can tell from the ever-generous help of Fr. Bochenski while he was teaching at the University of Notre Dame during 1955-56. OTTO BIRD Notre Dame, 1959 I GENERAL PRINCIPLES § O. INTRODUCTION 0. 1. Notion and history. Mathematical logic, also called 'logistic', ·symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the last century with the aid of an artificial notation and a rigorously deductive method. (shrink)

The aim of the present paper is to present a logical analysis of the concept of the free society. The symbolism used will be that of the Principia Mathematica—a few extra-logical symbols being explained when introduced. Regarding logical symbolism, it must be stressed, that the use of artificial symbols is not to be understood as a formalization. For formalization is a procedure by which one abstracts from the meaning of terms and operates on the shapes of the symbols alone—which will (...) not be done here. The symbolism is rather used as a useful shorthand, without which it would be difficult to obtain statements of the desired precision. (shrink)

The aim of the present paper is to present a logical analysis of the concept of the free society. The symbolism used will be that of the Principia Mathematica—a few extra-logical symbols being explained when introduced. Regarding logical symbolism, it must be stressed, that the use of artificial symbols is not to be understood as a formalization. For formalization is a procedure by which one abstracts from the meaning of terms and operates on the shapes of the symbols alone—which will (...) not be done here. The symbolism is rather used as a useful shorthand, without which it would be difficult to obtain statements of the desired precision. (shrink)

Excerpt from A History of Formal Logic In this edition of the most considerable history Of formal logic yet published, the Opportunity has Of course been taken to make some adjustments seen to be necessary in the original, with the author's full concurrence. Only in 36, however, has the numeration of cited passages been altered owing to the introduction of new matter. Those changes are as follows. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. (...) Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

The author presents Leszek Kołakowski from the perspective of his private acquaintanceship, lasting for about 47 years, as a witty man and a workaholic. L. Kołakowski never formed a classic “school”, but there is something all his disciples share: a thesis, key to understanding his ideas, which holds that “THERE IS MORE THAN ONE CORRECT OPINION IN THE HUMANITIES”, i.e. we will ALWAYS have opinions for and against, which goes against any dogmatism, wherever it may appear; this also bears consequences (...) in diagnosing the socio-political reality past and present. (shrink)

W artykule analizuję koncepcję improwizacji zapisaną w Jedynym wyjściu Witkacego. Pojęcie improwizacji charakteryzuje autor powieści jako swobodne wariacyjne tworzenie wywodzące się z natchnionej wizji. Wizję uważa Witkacy za najważniejszy, źródłowy element teorii artystycznej i praktyki twórczej. Analizuję również ślady improwizacji w rękopisie Jedynego wyjścia i opisuję grę między amplifikcjami a wizjami zapisanymi w improwizowanych fragmentach.