Conjunctions And Disjunctions

Fascinated by the polarity of being, Paz has boldly attempted to write a "history of man". Unlike countless other histories that simply chronicle civilizations and cultures, Paz's work explores the human heart, the meaning of human nature, and the duality that exists within all beings.

Oxford Studies in Epistemology is a biennial publicaton which offers a regular snapshot of state-of-the-art work in this important field. Under the guidance of a distinguished editorial board composed of leading philosophers in North America, Europe and Australasia, it publishes exemplary papers in epistemology, broadly construed. Topics within its purview include: *traditional epistemological questions concerning the nature of belief, justification, and knowledge, the status of scepticism, the nature of the a priori, etc; *new developments in epistemology, including movements such as naturalized epistemology, feminist epistemology, social epistemology, and virtue epistemology, and approaches such as contextualism; *foundational questions in decision-theory; *confirmation theory and other branches of philosophy of science that bear on traditional issues in epistemology; *topics in the philosophy of perception relevant to epistemology; *topics in cognitive science, computer science, developmental, cognitive, and social psychology that bear directly on traditional epistemological questions; and *work that examines connections between epistemology and other branches of philosophy, including work on testimony and the ethics of belief. Anyone wanting to understand the latest developments at the leading edge of the discipline can start here.

A Spiral Workbook for Discrete Mathematics covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions,relations, and elementary combinatorics, with an emphasis on motivation. The text explains and claries the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a nal polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a dierent perspective or at a higher level of complexity, in order to slowly develop the student's problem-solving and writing skills.

The research presented in this book shows how combining deep neural networks with a special class of fuzzy logical rules and multi-criteria decision tools can make deep neural networks more interpretable – and even, in many cases, more efficient. Fuzzy logic together with multi-criteria decision-making tools provides very powerful tools for modeling human thinking. Based on their common theoretical basis, we propose a consistent framework for modeling human thinking by using the tools of all three fields: fuzzy logic, multi-criteria decision-making, and deep learning to help reduce the black-box nature of neural models; a challenge that is of vital importance to the whole research community.

From a linguistic perspective, it is quanti?cation which makes all the di?- ence between “having no dollars” and “having a lot of dollars”. And it is the meaning of the quanti?er “most” which eventually decides if “Most Ame- cans voted Kerry” or “Most Americans voted Bush” (as it stands). Natural language(NL)quanti?erslike“all”,“almostall”,“many”etc. serveanimp- tant purpose because they permit us to speak about properties of collections, as opposed to describing speci?c individuals only; in technical terms, qu- ti?ers are a ‘second-order’ construct. Thus the quantifying statement “Most Americans voted Bush” asserts that the set of voters of George W. Bush c- prisesthemajorityofAmericans,while“Bushsneezes”onlytellsussomething about a speci?c individual. By describing collections rather than individuals, quanti?ers extend the expressive power of natural languages far beyond that of propositional logic and make them a universal communication medium. Hence language heavily depends on quantifying constructions. These often involve fuzzy concepts like “tall”, and they frequently refer to fuzzy quantities in agreement like “about ten”, “almost all”, “many” etc. In order to exploit this expressive power and make fuzzy quanti?cation available to technical applications, a number of proposals have been made how to model fuzzy quanti?ers in the framework of fuzzy set theory. These approaches usually reduce fuzzy quanti?cation to a comparison of scalar or fuzzy cardinalities [197, 132].

A Sourcebook of Indian Civilization aims at familiarising its readers with the various aspects that go into the making of the history of Indian civilisation. The arrangement of the material in the chapters and selections conform to a rationally conceived and planned scheme of history. The contents of the book presents an extensive view of Indian life and thought.