Numerical relativity has emerged as the key tool to model gravitational waves - recently detected for the first time - that are emitted when black holes or neutron stars collide. This book provides a pedagogical, accessible, and concise introduction to the subject. Relying heavily on analogies with Newtonian gravity, scalar fields and electromagnetic fields, it introduces key concepts of numerical relativity in a context familiar to readers without prior expertise in general relativity. Re...

Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 30...

This volume discusses the long term impacts of the Trump presidency on the federal bureaucracy. Drawing on the longstanding academic literature on neutral competence and interviews with the bureaucrats themselves, this book adds insight to the academic question of the role of bureaucrats in a democratic system after a four-year period in which their role has been questioned and threatened as never before. Focusing on the elite agencies of the Office of Management and Budget, the Congressio...

Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge- gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appear...

The present work is a systematic study of five frameworks or perspectives articulating mathematical structuralism, whose core idea is that mathematics is concerned primarily with interrelations in abstraction from the nature of objects. The first two, set-theoretic and category-theoretic, arose within mathematics itself. After exposing a number of problems, the Element considers three further perspectives formulated by logicians and philosophers of mathematics: sui generis, treating struct...

This book provides a comprehensive examination of biochemical and genetic regulatory phenomena as they relate to the activity of actinomycete secondary metabolic pathways and the functioning of secondary metabolites as endogenous effectors of cytodifferentiation. Approximately 50 illustrations accompany the text.

Regulation has become a front-page topic recently, often referenced by politicians in conjunction with the current state of the U.S. economy. Yet despite regulation’s increased presence in current politics and media, The Politics of Regulatory Reform argues that the regulatory process and its influence on the economy is misunderstood by the general public as well as by many politicians.In this book, two experienced regulation scholars confront questions relevant to both ac...

A unique exploration of teleonomy—also known as “evolved purposiveness”—as a major influence in evolution by a broad range of specialists in biology and the philosophy of science.The evolved purposiveness of living systems, termed “teleonomy” by chronobiologist Colin Pittendrigh, has been both a major outcome and causal factor in the history of life on Earth. Many theorists have appreciated this over the years, going back to Lamarck and even Darwin in the nineteent...

One is often said to be reasoning well when they are reasoning logically. Many attempts to say what logical reasoning is have been proposed, but one commonly proposed system is first-order classical logic. This Element will examine the basics of first-order classical logic and discuss some surrounding philosophical issues. The first half of the Element develops a language for the system, as well as a proof theory and model theory. The authors provide theorems about the system they develope...

Logical pluralism is the view that different logics are equally appropriate, or equally correct. Logical relativism is a pluralism according to which validity and logical consequence are relative to something. In Varieties of Logic, Stewart Shapiro develops several ways in which one can be a pluralist or relativist about logic. One of these is an extended argument that words and phrases like 'valid' and 'logical consequence' are polysemous or, perhaps better, are cluster concepts....

Este é um livro de filosofia, sobre matemática. Há, primeiro, questões de metafísica: de que trata a matemática? Tem um conteúdo? Qual é esse conteúdo? O que são números, conjuntos, pontos, linhas, funções, e por aí adiante? E depois há questões semânticas: o que significam as proposições matemáticas? Qual a natureza da verdade matemática? E de epistemologia: como se conhece a matemática? Qual a sua metodologia? Está envolvida a observação, ou trata-se de um exercício puramente mental? Com...

Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic. As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language sugge...