CONTENIDO: El problema de la consistencia - Pruebas absolutas de consistencia - La codificación sistemática de la lógica formal - Un ejemplo de una prueba absoluta de consistencia - La idea de representación y su empleo en las matemáticas - Las pruebas de Gödel.
Over the past two centuries the field of logic has developed at an explosive pace into new areas far removed from the traditional syllogism and formal proof. The purpose of this well-known introductory treatment is to chart, clearly and lucidly, this new domain of today's vastly sophisticated logic. Author Morris R. Cohen explores "the periphery of logic, the relations of logic to the rest of the universe, the philosophical presuppositions which give logic its meaning, and the applications which give it importance."Beginning with an exploration of the traditional scope of logic as the medium of formal proofs, the text pursues a modern investigation of the relationship between logic and the mind, logic and speech, logic in metaphor and fiction―and most significantly, logic and the concept of abstract reasoning as applied to the empirical world. Additional topics include logic and statistical method, probability, and scientific models. Concise and highly readable, this volume is suitable for college undergraduates and other readers interested in logic. 1944 edition.
Published in 1946, this volume does not purpose to be a treatise on logic. The author's contributions to the substance of logical doctrine have been made in his other works. What he has attempted in the studies that form this volume is an exploration of the periphery of logic, the relation of logic to the rest of the universe, the philosophical presuppositions which give logic its meaning and the applications which give it importance. It is his belief that formal logic is the heart of philosophy, since the subject matter of logic is the formal aspect of all being. From this standpoint he explores the relation of logic to such fields of study as natural science, ethics, history and general philosophy.
Although differing in their emphases, all three contributors seek a more
plausible and nonskeptical philosophical account of the status of scientific
theories in relation to observation.
Již z dálky viděl Pat O'Mulligan jjezdce, který sjížděl s kopce, poznal dlouhonohého, ocelově šedého hřebce, běžícího nenapodobitelným mírným, ale plynulým tryskem.