Kirjahaku

Why is there a material world? Why is it fundamentally mathematical? Matter Matters explores a seventeenth-century answer to these questions as it emerged from the works of Descartes and Leibniz. The 'mathematization' of the physics is shown to have been conceptually underwritten by two methods of philosophizing, namely, analysis and synthesis. The connection between these things-mathematics, matter, and the methods of analysis and synthesis-has thus far gone unexplored by scholars. The book is in four Parts: Part I works out the context in which the theory of modern matter arose. Part II develops the method of analysis, showing how it aligns with Descartes's famous doctrine of clear and distinct ideas. Part III develops the method of synthesis, focusing primarily on Leibniz, showing how it establishes the very conditions necessary and sufficient for mathematics. Analysis and synthesis turn out to establish isomorphic conceptual systems, which turn out to be isomorphic to what mathematicians today call a group. The group concept expresses the conditions underwriting all of mathematics. Part IV examines several relatively new interpretations of Descartes--the realist and idealist readings--which appear to be at odds with one another. The examination shows the sense in which these readings are actually compatible, and together reveal a richer picture of Descartes's position on the reality of matter. Ultimately, Matter Matters establishes the claim that mathematics is intelligible if, and only if, matter exists.

Why is there a material world? Why is it fundamentally mathematical? Matter Matters explores a seventeenth-century answer to these questions as it emerged from the works of Descartes and Leibniz. The 'mathematization' of the physics is shown to have been conceptually underwritten by two methods of philosophizing, namely, analysis and synthesis. The connection between these things--mathematics, matter, and the methods of analysis and synthesis--has thus far gone unexplored by scholars. The book is in four Parts: Part I works out the context in which the theory of modern matter arose. Part II develops the method of analysis, showing how it aligns with Descartes's famous doctrine of clear and distinct ideas. Part III develops the method of synthesis, focusing primarily on Leibniz, showing how it establishes the very conditions necessary and sufficient for mathematics. Analysis and synthesis turn out to establish isomorphic conceptual systems, which turn out to be isomorphic to what mathematicians today call a group. The group concept expresses the conditions underwriting all of mathematics. Part IV examines several relatively new interpretations of Descartes--the realist and idealist readings--which appear to be at odds with one another. The examination shows the sense in which these readings are actually compatible, and together reveal a richer picture of Descartes's position on the reality of matter. Ultimately, Matter Matters establishes the claim that mathematics is intelligible if, and only if, matter exists.

Provides students and general readers with a basic understanding of the central concepts, issues, and thinkers of the early modern era of philosophy Is there a world that exists apart from ourselves? If an external world exists, what is its nature? Can an external world based on evidence from our sense perception be known? How do such questions arise? Is it even possible for them to be answered? This is Modern Philosophy: An Introduction surveys how philosophers from the late sixteenth century to the early nineteenth century investigated central metaphysical and epistemological issues. Focusing on six key philosophers, this accessible volume provides readers with a solid and balanced appreciation of how philosophy was done in the Modern period. Each chapter explores the views of a particular thinker—René Descartes, Thomas Hobbes, George Berkeley, David Hume, Immanuel Kant, and Lady Mary Shepherd—with special attention paid to their engagement with ‘The Problem of the External World.’ Throughout the book, readers are invited to consider related philosophical problems and doctrines, such as transcendental idealism, mind-body dualism, and skepticism. Introduces a range of philosophical concepts, including materialism, idealism, rationalism, and empiricismDiscusses how the philosophical views from each of the philosophers covered are similar and differentAddresses the views of other important thinkers such as John Locke and Adam SmithFeatures an epilogue that helps readers locate other important philosophers from different historical periodsProvides links to high-quality online editions and translations of primary texts that are freely available to students Part of Wiley-Blackwell’s popular This Is Philosophy series, This is Modern Philosophy: An Introduction is an invaluable resource for undergraduate students in Early Modern philosophy courses, graduate philosophy students looking to refresh their knowledge, and general readers looking for an easy-to-read introduction to the subject.

The Descartes Dictionary is an accessible guide to the world of the seventeenth-century philosopher René Descartes. Meticulously researched and extensively cross-referenced, this unique book covers all his major works, ideas and influences, and provides a firm grounding in the central themes of Descartes' thought.The introduction provides a biographical sketch, a brief account of Descartes’ philosophical works, and a summary of the current state of Cartesian studies, discussing trends in research over the past four decades. The A-Z entries include clear definitions of the key terms used in Descartes' writings and detailed synopses of his works. Also included are entries noting philosophical influences, of both figures that influenced Descartes and those that he in turn influenced. For anyone reading or studying Descartes, rationalism, or modern philosophy more generally, this original resource provides a wealth of useful information, analysis, and criticism. Including clear explanations of often complex terminology, The Descartes Dictionary covers everything that is essential to a sound understanding of Descartes' philosophy.

The Descartes Dictionary is an accessible guide to the world of the seventeenth-century philosopher René Descartes. Meticulously researched and extensively cross-referenced, this unique book covers all his major works, ideas and influences, and provides a firm grounding in the central themes of Descartes' thought.The introduction provides a biographical sketch, a brief account of Descartes’ philosophical works, and a summary of the current state of Cartesian studies, discussing trends in research over the past four decades. The A-Z entries include clear definitions of the key terms used in Descartes' writings and detailed synopses of his works. Also included are entries noting philosophical influences, of both figures that influenced Descartes and those that he in turn influenced. For anyone reading or studying Descartes, rationalism, or modern philosophy more generally, this original resource provides a wealth of useful information, analysis, and criticism. Including clear explanations of often complex terminology, The Descartes Dictionary covers everything that is essential to a sound understanding of Descartes' philosophy.

Build software that combines Python's expressivity with the performance and control of C (and C++). It's possible with Cython, the compiler and hybrid programming language used by foundational packages such as NumPy, and prominent in projects including Pandas, h5py, and scikits-learn. In this practical guide, you'll learn how to use Cython to improve Python's performance - up to 3000x - and to wrap C and C++ libraries in Python with ease. Author Kurt Smith takes you through Cython's capabilities, with sample code and in-depth practice exercises. If you're just starting with Cython, or want to go deeper, you'll learn how this language is an essential part of any performance-oriented Python programmer's arsenal.Use Cython's static typing to speed up Python code Gain hands-on experience using Cython features to boost your numeric-heavy Python Create new types with Cython - and see how fast object-oriented programming in Python can be Effectively organize Cython code into separate modules and packages without sacrificing performance Use Cython to give Pythonic interfaces to C and C++ libraries Optimize code with Cython's runtime and compile-time profiling tools Use Cython's prange function to parallelize loops transparently with OpenMP

The "Father of Modern Philosophy", Ren Descartes (1596-1650) was one of the most prominent voices of the Scientific Revolution. A key philosopher of the 17th century, he developed a connection between algebraic logic and philosophical concepts--a practice that would eventually lead to the creation of modern philosophic study. His landmark works such as Meditations on First Philosophy established him as one of the most influential philosophers of all time.