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Sinopsis
Excerpt from Substance and Function, and Einstein's Theory of Relativity
The investigations contained in this volume were first prompted by studies in the philosophy oi_ mathematics. In the course of an attempt to comprehend the fundamental conceptions of mathematics from the point of view of logic, it became necessary to analyse more closely the function of the concept itself and to trace it back to its presuppositions. Here, however, a peculiar difficulty arose: the traditional logic of the concept, in its well-known features, proved inadequate even to characterize the problems to which the theory of the principles of mathematics led. It became increasingly evident that exact science had here reached questions for which there existed no precise correlate in the traditional language of formal logic. The content of mathematical knowledge pointed back to a fundamental form of the concept not clearly defined and recognized within logic itself. In particular, investigations concerning the concepts of the series and of the limit, the special results of which, however, could not be included in the general exposition of this book, con firmed this view and led to a renewed analysis of the principles of the construction of concepts in general.
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Reseña del editor
Excerpt from Substance and Function, and Einstein's Theory of Relativity
The investigations contained in this volume were first prompted by studies in the philosophy oi_ mathematics. In the course of an attempt to comprehend the fundamental conceptions of mathematics from the point of view of logic, it became necessary to analyse more closely the function of the concept itself and to trace it back to its presuppositions. Here, however, a peculiar difficulty arose: the traditional logic of the concept, in its well-known features, proved inadequate even to characterize the problems to which the theory of the principles of mathematics led. It became increasingly evident that exact science had here reached questions for which there existed no precise correlate in the traditional language of formal logic. The content of mathematical knowledge pointed back to a fundamental form of the concept not clearly defined and recognized within logic itself. In particular, investigations concerning the concepts of the series and of the limit, the special results of which, however, could not be included in the general exposition of this book, con firmed this view and led to a renewed analysis of the principles of the construction of concepts in general.
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.
Reseña del editor
The investigations contained in this volume were first prompted by studies in the philosophy of mathematics. In the course of an attempt to comprehend the fundamental conceptions of mathematics from the point of view of logic, it became necessary to analyse more closely the function of the concept itself and to trace it back to its presuppositions. Here, however, a peculiar difficulty arose: the traditional logic of the concept, in its well-known features, proved inadequate even to characterize the problems to which the theory of the principles of mathematics led. It became increasingly evident that exact science had here reached questions for which there existed no precise correlate in the traditional language of formal logic. The content of mathematical knowledge pointed back to a fundamental form of the concept not clearly defined and recognized within logic itself. In particular, investigations concerning the concepts of the series and of the limit, the special results of which, however, could not be included in the general exposition of this book, con firmed this view and led to a renewed analysis of the principles of the construction of concepts in general. The problem thus defined gained more general meaning when it became clear that it was in no way limited to the field of mathe matics, but extended over the whole field of exact science. The systematic structure of the exact sciences assumes different forms according as it is regarded in different logical perspectives. Thus an attempt had to be made to advance from this general point of view to the forms of conceptual construction of the special disciplines, of arithmetic, geometry, physics and chemistry. It did not accord with the general purpose of the enquiry to collect special examples from the particular sciences for the support of the logical theory, but it was necessary to make an attempt to t
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Paperback. Condición: New. Print on Demand. This book delves into the heart of how we form concepts, those fundamental building blocks of our understanding. Challenging traditional ideas rooted in the philosophy of Aristotle, the author argues that the typical method of abstraction ââ â focusing on similarities and discarding differences ââ â fails to capture the true complexity and richness of concepts, particularly in the realm of science. Instead, the author proposes a new perspective, one that emphasizes the crucial role of relationships and functions in shaping concepts. This approach, inspired by the clarity and precision of mathematical concepts, is then applied to various scientific disciplines, including arithmetic, geometry, physics, and chemistry. By examining how these fields construct and utilize concepts, the author reveals a dynamic interplay between thought and reality, where concepts are not mere static representations but active tools for understanding the world around us. Ultimately, this book invites us to re-evaluate the very nature of knowledge and reality. It argues that by embracing the dynamic nature of concepts and their intricate web of relationships, we can gain a deeper and more nuanced understanding of the world we inhabit. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781440068959_0
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