Internal Logic
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Internal Logic
Author: Y. Gauthier
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-09
Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's infinite descent is put to use in an internal consistency proof. The view is developed in the context of a radical arithmetization of mathematics and logic and covers the many-faceted heritage of Kronecker's work, which includes not only Hilbert, but also Frege, Cantor, Dedekind, Husserl and Brouwer. The book will be of primary interest to logicians, philosophers and mathematicians interested in the foundations of mathematics and the philosophical implications of constructivist mathematics. It may also be of interest to historians, since it covers a fifty-year period, from 1880 to 1930, which has been crucial in the foundational debates and their repercussions on the contemporary scene.
The Inner Logic of the World
Author: Pasquale De Marco
language: en
Publisher: Pasquale De Marco
Release Date: 2025-05-18
Immerse yourself in the captivating world of logic and metaphysics, where profound questions about the nature of reality, thought, and existence converge. Embark on an intellectual journey that delves into the metaphysical foundations of logic, unveiling the intricate connections between our understanding of the world and the principles that govern it. Within these pages, you'll explore the fundamental laws of thought, tracing the evolution of logic from its ancient origins to its modern manifestations. Discover the diverse perspectives and schools of thought that have shaped our understanding of logical truth and the structure of reality. Grapple with the challenges posed by skepticism, paradox, and the limitations of human reason, gaining a deeper appreciation for the complexities of logical reasoning. Uncover the profound implications of logic for language, mathematics, and science, as you investigate the ways in which logical principles underpin these disciplines and enable us to construct coherent and meaningful systems of knowledge. Explore the intersection of logic and ethics, delving into the intricate relationship between logical reasoning and moral decision-making. Through this comprehensive exploration of the metaphysical foundations of logic, you'll gain a deeper understanding of the universe and your place within it. Discover the power and elegance of logic as a tool for unraveling the mysteries of existence, illuminating the complexities of human experience, and guiding us towards a more profound understanding of reality. This book is an essential resource for philosophers, logicians, mathematicians, scientists, and anyone seeking a deeper understanding of the fundamental principles that govern our world. Prepare to embark on an intellectual adventure that will challenge your assumptions, expand your perspectives, and leave you with a renewed appreciation for the beauty and power of logical thought. If you like this book, write a review on google books!
Level Design
Good or bad level design can make or break any game, so it is surprising how little reference material exists for level designers. Beginning level designers have a limited understanding of the tools and techniques they can use to achieve their goals, or even define them. This book is the first to use a conceptual and theoretical foundation to build