Define Notion


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Leibniz: A Guide for the Perplexed


Leibniz: A Guide for the Perplexed

Author: Franklin Perkins

language: en

Publisher: A&C Black

Release Date: 2007-07-10


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A concise and coherent overview of Leibniz, ideal for second- or third-year undergraduates who require more than just a simple introduction to his work and thought.

Analysis II


Analysis II

Author: Terence Tao

language: en

Publisher: Springer Nature

Release Date: 2023-02-22


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This is the second book of a two-volume textbook on real analysis. Both the volumes—Analysis I and Analysis II—are intended for honors undergraduates who have already been exposed to calculus. The emphasis is on rigor and foundations. The material starts at the very beginning—the construction of number systems and set theory (Analysis I, Chaps. 1–5), then on to the basics of analysis such as limits, series, continuity, differentiation, and Riemann integration (Analysis I, Chaps. 6–11 on Euclidean spaces, and Analysis II, Chaps. 1–3 on metric spaces), through power series, several variable calculus, and Fourier analysis (Analysis II, Chaps. 4–6), and finally to the Lebesgue integral (Analysis II, Chaps. 7–8). There are appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) is taught in two quarters of twenty-five to thirty lectures each.

The Fragmentation of Being


The Fragmentation of Being

Author: Kris McDaniel

language: en

Publisher: Oxford University Press

Release Date: 2017-07-28


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The Fragmentation of Being offers answers to some of the most fundamental questions in ontology. There are many kinds of beings but are there also many kinds of being? The world contains a variety of objects, each of which, let us provisionally assume, exists, but do some objects exist in different ways? Do some objects enjoy more being or existence than other objects? Are there different ways in which one object might enjoy more being than another? Most contemporary metaphysicians would answer "no" to each of these questions. So widespread is this consensus that the questions this book addressed are rarely even raised let alone explicitly answered. But Kris McDaniel carefully examines a wide range of reasons for answering each of these questions with a "yes". In doing so, he connects these questions with many important metaphysical topics, including substance and accident, time and persistence, the nature of ontological categories, possibility and necessity, presence and absence, persons and value, ground and consequence, and essence and accident. In addition to discussing contemporary problems and theories, McDaniel also discusses the ontological views of many important figures in the history of philosophy, including Aquinas, Aristotle, Descartes, Heidegger, Husserl, Kant, Leibniz, Meinong, and many more.