More Precisely: The Math You Need to Do Philosophy - Second Edition

Philosophy
More Precisely: The Math You Need to Do Philosophy - Second Edition PDF Author: Eric Steinhart
Publisher: Broadview Press
ISBN: 1770486674
Category : Philosophy
Languages : en
Pages : 248

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Book Description
More Precisely is a rigorous and engaging introduction to the mathematics necessary to do philosophy. Eric Steinhart provides lucid explanations of many basic mathematical concepts and sets out the most commonly used notational conventions. He also demonstrates how mathematics applies to fundamental issues in various branches of philosophy, including metaphysics, philosophy of language, epistemology, and ethics. This second edition adds a substantial section on decision and game theory, as well as a chapter on information theory and the efficient coding of information.

More Precisely: The Math You Need to Do Philosophy - Second Edition

More Precisely: The Math You Need to Do Philosophy - Second Edition PDF Author: Eric Steinhart
Publisher: Broadview Press
ISBN: 1770486674
Category : Philosophy
Languages : en
Pages : 248

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Book Description
More Precisely is a rigorous and engaging introduction to the mathematics necessary to do philosophy. Eric Steinhart provides lucid explanations of many basic mathematical concepts and sets out the most commonly used notational conventions. He also demonstrates how mathematics applies to fundamental issues in various branches of philosophy, including metaphysics, philosophy of language, epistemology, and ethics. This second edition adds a substantial section on decision and game theory, as well as a chapter on information theory and the efficient coding of information.

More Precisely

More Precisely PDF Author: Eric Steinhart
Publisher: Broadview Press
ISBN: 1460401360
Category : Philosophy
Languages : en
Pages : 208

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Book Description
More Precisely provides a rigorous and engaging introduction to the mathematics necessary to do philosophy. It is impossible to fully understand much of the most important work in contemporary philosophy without a basic grasp of set theory, functions, probability, modality and infinity. Until now, this knowledge was difficult to acquire. Professors had to provide custom handouts to their classes, while students struggled through math texts searching for insight. More Precisely fills this key gap. Eric Steinhart provides lucid explanations of the basic mathematical concepts and sets out most commonly used notational conventions. Furthermore, he demonstrates how mathematics applies to many fundamental issues in branches of philosophy such as metaphysics, philosophy of language, epistemology, and ethics.

Cracking the CSET (California Subject Examinations for Teachers), 2nd Edition

Cracking the CSET (California Subject Examinations for Teachers), 2nd Edition PDF Author: The Princeton Review
Publisher: Princeton Review
ISBN: 0525567747
Category : Education
Languages : en
Pages : 656

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Book Description
A revised second edition of our test prep guide to help teachers score higher on the California educators' certification exam, updated to reflect recent changes to the CSET and now including bonus CSET: Writing Skills online material. Techniques That Actually Work. • Essential tactics to work smarter, not harder • Tips for pacing yourself and guessing logically • Targeted guidance for multiple-choice and constructed-response questions Everything You Need to Know to Help Achieve a High Score. • Essential review of CSET: Multiple Subjects content, including reading, language, and literature; history and social science; science and math; and physical education, human development, and the performing arts • Sample questions with step-by-step guidance • Key Terms lists and bulleted summaries for every chapter • PLUS! Free online access to 3 Writing Skills practice tests plus bonus Writing help Practice Your Way to Perfection. • 3 full-length CSET practice tests available online • End-of-chapter practice drills for all test subjects • Detailed answer explanations for all practice questions

The World as Idea

The World as Idea PDF Author: Charles P. Webel
Publisher: Routledge
ISBN: 1317746716
Category : Political Science
Languages : en
Pages : 354

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Book Description
In The World as Idea Charles P. Webel presents an intellectual history of one of the most influential concepts known to humanity—that of "the world." Webel traces the development of "the world" through the past, depicting the history of the world as an intellectual construct from its roots in ancient creation myths of the cosmos, to contemporary speculations about multiverses. He simultaneously offers probing analyses and critiques of "the world as idea" from thinkers ranging from Plato, Aristotle, and St. Augustine in the Greco-Roman period to Kant, Schopenhauer, Nietzsche, Wittgenstein, Merleau-Ponty, and Derrida in modern times. While Webel mainly focuses on Occidental philosophical, theological, and cosmological notions of worldhood and worldliness, he also highlights important non-Western equivalents prominent in Islamic and Asian spiritual traditions. This ensures the book is a unique overview of what we all take for granted in our daily existence, but seldom if ever contemplate—the world as the uniquely meaningful environment for our lives in particular and for life on Earth in general. The World as Idea will be of great interest to those interested in the "world as idea," scholars in fields ranging from philosophy and intellectual history to political and social theory, and students studying philosophy, the history of ideas, and humanities courses, both general and specialized.

Proof and Other Dilemmas

Proof and Other Dilemmas PDF Author: Roger Simons
Publisher: MAA
ISBN: 9780883855676
Category : Mathematics
Languages : en
Pages : 346

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Book Description
For the majority of the twentieth century, philosophers of mathematics focused their attention on foundational questions. However, in the last quarter of the century they began to return to basics, and two new schools of thought were created: social constructivism and structuralism. The advent of the computer also led to proofs and development of mathematics assisted by computer, and to questions concerning the role of the computer in mathematics. This book of sixteen original essays is the first to explore this range of new developments in the philosophy of mathematics, in a language accessible to mathematicians. Approximately half the essays were written by mathematicians, and consider questions that philosophers have not yet discussed. The other half, written by philosophers of mathematics, summarise the discussion in that community during the last 35 years. A connection is made in each case to issues relevant to the teaching of mathematics.

Discovering the Principles of Mechanics 1600-1800

Discovering the Principles of Mechanics 1600-1800 PDF Author: David Speiser
Publisher: Springer Science & Business Media
ISBN: 9783764385644
Category : Science
Languages : en
Pages : 331

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Book Description
This book assembles 21 essays on the history of mechanics and mathematical physics written by David Speiser. Covering a period from the beginning of the seventeenth century to the eighteenth, the essays discuss developments in elasticity, rigid bodies, gravitation, the principle of relativity, optics, and first principles. They examine the work of Galileo, Huygens, Newton, Leibniz, the Bernoullis, Euler, Maupertuis, and Lambert.

Mind and Language – On the Philosophy of Anton Marty

Mind and Language – On the Philosophy of Anton Marty PDF Author: Guillaume Fréchette
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110531488
Category : Philosophy
Languages : en
Pages : 380

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Book Description
Anton Marty (Schwyz, 1847–Prague, 1914) contributed significantly to some of the central themes of Austrian philosophy. This collection contributes to assessing the specificity of his theses in relation with other Austrian philosophers. Although strongly inspired by his master, Franz Brentano, Marty developed his own theory of intentionality, understood as a sui generis relation of similarity. Moreover, he established a comprehensive philosophy of language, or "semasiology", based on descriptive psychology, and in which the utterer’s meaning plays a central role, anticipating Grice’s pragmatic semantics. The present volume, including sixteen articles by scholars in the field of the history of Austrian philosophy and in contemporary philosophy, aims at exposing some of Marty’s most important contributions in philosophy of mind and language, but also in other fields of research such as ontology and metaphysics. As archive material, the volume contains the edition of a correspondence between Marty and Hans Cornelius on similarity. This book will interest scholars in the fields of the history of philosophy in the 19th and 20th centuries, historians of phenomenology, and, more broadly, contemporary theoretical philosophers.

LEGO and Philosophy

LEGO and Philosophy PDF Author: Roy T. Cook
Publisher: John Wiley & Sons
ISBN: 1119193982
Category : Philosophy
Languages : en
Pages : 256

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Book Description
How profound is a little plastic building block? It turns out the answer is “very”! 22 chapters explore philosophy through the world of LEGO which encompasses the iconic brick itself as well as the animated televisions shows, feature films, a vibrant adult fan base with over a dozen yearly conventions, an educational robotics program, an award winning series of videogames, hundreds of books, magazines, and comics, a team-building workshop program for businesses and much, much more. Dives into the many philosophical ideas raised by LEGO bricks and the global multimedia phenomenon they have created Tackles metaphysical, logical, moral, and conceptual issues in a series of fascinating and stimulating essays Introduces key areas of philosophy through topics such as creativity and play, conformity and autonomy, consumption and culture, authenticity and identity, architecture, mathematics, intellectual property, business and environmental ethics Written by a global group of esteemed philosophers and LEGO fans A lively philosophical discussion of bricks, minifigures, and the LEGO world that will appeal to LEGO fans and armchair philosophers alike

Encyclopedia of Philosophy

Encyclopedia of Philosophy PDF Author: Donald M. Borchert
Publisher: Thomson Gale/MacMillan Reference USA
ISBN: 9780028657813
Category : Philosophy
Languages : en
Pages : 790

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Book Description
This volume, covering entries from "Abbagnano, Nicola" to "Byzantine philosophy," presents articles on Eastern and Western philosophies, medical and scientific ethics, the Holocaust, terrorism, censorship, biographical entries, and much more.

Proofs and Fundamentals

Proofs and Fundamentals PDF Author: Ethan D. Bloch
Publisher: Springer Science & Business Media
ISBN: 1441971270
Category : Mathematics
Languages : en
Pages : 358

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Book Description
“Proofs and Fundamentals: A First Course in Abstract Mathematics” 2nd edition is designed as a "transition" course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. The text serves as a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra and real analysis. This 3-part work carefully balances Proofs, Fundamentals, and Extras. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material such as sets, functions and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics and sequences. A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and in writing are never compromised. New to the second edition: 1) A new section about the foundations of set theory has been added at the end of the chapter about sets. This section includes a very informal discussion of the Zermelo– Fraenkel Axioms for set theory. We do not make use of these axioms subsequently in the text, but it is valuable for any mathematician to be aware that an axiomatic basis for set theory exists. Also included in this new section is a slightly expanded discussion of the Axiom of Choice, and new discussion of Zorn's Lemma, which is used later in the text. 2) The chapter about the cardinality of sets has been rearranged and expanded. There is a new section at the start of the chapter that summarizes various properties of the set of natural numbers; these properties play important roles subsequently in the chapter. The sections on induction and recursion have been slightly expanded, and have been relocated to an earlier place in the chapter (following the new section), both because they are more concrete than the material found in the other sections of the chapter, and because ideas from the sections on induction and recursion are used in the other sections. Next comes the section on the cardinality of sets (which was originally the first section of the chapter); this section gained proofs of the Schroeder–Bernstein theorem and the Trichotomy Law for Sets, and lost most of the material about finite and countable sets, which has now been moved to a new section devoted to those two types of sets. The chapter concludes with the section on the cardinality of the number systems. 3) The chapter on the construction of the natural numbers, integers and rational numbers from the Peano Postulates was removed entirely. That material was originally included to provide the needed background about the number systems, particularly for the discussion of the cardinality of sets, but it was always somewhat out of place given the level and scope of this text. The background material about the natural numbers needed for the cardinality of sets has now been summarized in a new section at the start of that chapter, making the chapter both self-contained and more accessible than it previously was. 4) The section on families of sets has been thoroughly revised, with the focus being on families of sets in general, not necessarily thought of as indexed. 5) A new section about the convergence of sequences has been added to the chapter on selected topics. This new section, which treats a topic from real analysis, adds some diversity to the chapter, which had hitherto contained selected topics of only an algebraic or combinatorial nature. 6) A new section called ``You Are the Professor'' has been added to the end of the last chapter. This new section, which includes a number of attempted proofs taken from actual homework exercises submitted by students, offers the reader the opportunity to solidify her facility for writing proofs by critiquing these submissions as if she were the instructor for the course. 7) All known errors have been corrected. 8) Many minor adjustments of wording have been made throughout the text, with the hope of improving the exposition.