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Elwes R: The Story of Huge Numbers

The Story of Huge Numbers

Oxford Studies in Philosophy of Science

The past few decades have seen an explosion of research on causal reasoning in philosophy, computer science, and statistics, as well as descriptive research in psychology about how people reason about causes. Causation with a Human Face integrates these lines of research and argues for an understanding of how each can inform the other: normative ideas can suggest interesting experiments, while descriptive results can suggest important normative concepts. Woodward's overall framework builds on an interventionist treatment of causation, and discusses proposals about the role of invariant or stable relationships in successful causal reasoning and the notion of proportionality. He argues that these normative ideas are reflected in the causal judgments that people actually make as a descriptive matter.

The past few decades have seen an explosion of research on causal reasoning in philosophy, computer science, and statistics, as well as descriptive work in psychology. In Causation with a Human Face, James Woodward integrates these lines of research and argues for an understanding of how each can inform the other: normative ideas can suggest interesting experiments, while descriptive results can suggest important normative concepts. Woodward's overall framework builds on the interventionist treatment of causation that he developed in Making Things Happen. Normative ideas discussed include proposals about the role of invariant or stable relationships in successful causal reasoning and the notion of proportionality. He argues that these normative ideas are reflected in the causal judgments that people actually make as a descriptive matter. 

Woodward also discusses the common philosophical practice-particularly salient in philosophical accounts of causation--of appealing to "intuitions" or "judgments about cases" in support of philosophical theses. He explores how, properly understood, such appeals are not different in principle from appeals to results from empirical research, and demonstrates how they may serve as a useful source of information about causal cognition.

Normative Theory and Descriptive Psychology

Causation with a Human Face

Elements in the Philosophy of Mathematics

This Element explores the philosophical role of definitions in mathematical knowledge, examining their origins, epistemic roles, and formal constraints. It explores explicit, implicit, and axiomatic definitions, and their potential to yield mathematical knowledge.

This Element explores the philosophical role of definitions in mathematical knowledge, examining their origins, epistemic roles, and formal constraints. It explores explicit, implicit, and axiomatic definitions, and their potential to yield mathematical knowledge.

Definitions and Mathematical Knowledge

The aim of this Element is to provide an overview of abstractionism in the philosophy of mathematics. It distinguishes between mathematical abstractionism and philosophical abstractionism. It also discusses the most recent developments in the debate that pull abstractionism in different directions.

Abstractionism

Get the whole story on fractions Fractions are one of the toughest concepts to master for young mathematicians. Fractions For Dummies makes it easier, with clear explanations, step-by-step solutions, and plenty of example problems-including word problems and tips on how to solve them. You'll also explore the world of decimals and percentages, and you'll learn how all these concepts are related. Students who understand fractions can cook, budget, tip at restaurants, and succeed in their future math learning. Make fractions a piece of pie with this Dummies guide! Inside... <ul><li>Basic math operations with fractions</li> <li>Clear, easy explanations</li> <li>Tips for solving word problems</li> <li>Convert between fractions, decimals, and percents</li> <li>Working with mixed numbers</li> <li>New fraction strategies being taught in schools</li></ul>

Fractions For Dummies

This second edition continues to present meaningful and practical solutions for teaching mathematics and statistics online, focusing on the problems observed by mathematics instructors currently working in the field. With its set of standard practices, instructors will benefit from learning many new techniques and approaches.

This second edition continues to present meaningful and practical solutions for teaching mathematics and statistics online, focusing on the problems observed by mathematics instructors currently working in the field. With its set of standard practices, instructors will benefit from learning many new techniques and approaches.

Teaching and Learning Mathematics Online

Studies in History and Philosophy of Science

This book highlights and develops a hitherto neglected area of Hans Blumenberg's contributions, i.e., history and philosophy of science. It covers both Blumenberg’s works on the history of ideas and conceptual change, as well as his studies on transformative periods and his intellectual history of technology. Hans Blumenberg (1920-1996) was one of the leading German philosophers after the Second World War, bridging from the continental tradition of philosophy, conceptual history and metaphorology. This volume, though, explores the methodological instruments that he developed and how we may use them to do history and philosophy of science. In doing so it opens up a new field of research and provides insight into further developing a continental history and philosophy of science, making this book of great interest to both historians and philosophers alike.

Hans Blumenberg's History and Philosophy of Science

This Element looks at Quine's arguments against the concepts of analyticity. It mentions Boghossian's distinction between epistemic and metaphysical accounts of analyticity. It shows how analyticity is related to truth, necessity and questions of ontology. The relation of analyticity to the axiomatic method in mathematics is mentioned.

This Element looks at Quine's arguments against the concepts of analyticity. It mentions Boghossian's distinction between epistemic and metaphysical accounts of analyticity. It shows how analyticity is related to truth, necessity and questions of ontology. The relation of analyticity to the axiomatic method in mathematics is mentioned.

Mathematics is (mostly) Analytic

This Element covers the first reflections on attempts to untie mathematics from its practical usage in administration, commerce, and land-surveying and discusses the first ideas to see mathematical structures as constituents underlying the physical world in the Pythagoreans.

This Element covers the first reflections on attempts to untie mathematics from its practical usage in administration, commerce, and land-surveying and discusses the first ideas to see mathematical structures as constituents underlying the physical world in the Pythagoreans.

Philosophy of Mathematics from the Pythagoreans to Euclid

Second Level Maths Practice Workbook 3 for S1 – S3

Best Books of 2024, The EconomistFrom the codebreakers and problem solvers, to the engineers, mathematicians and other problem-solvers - what the secret world can teach us about performance and creativity

What the Secret World Can Teach Us About Problem-Solving and Creativity

Counter-Intelligence

Frontiers in the History of Science

This monograph presents an interpretive essay on the foundations of Leibniz’s calculus, accompanied by key texts in English translation. The essay examines Leibniz's evolving views on infinitesimals and infinite numbers, tracing their development from his early metaphysical ideas to his mature justifications of the calculus.Leibniz first proposed treating infinitesimals as fictions in the 1670s, in line with the mathematical practices of his time, where abstract concepts could be used in calculations without implying their existence. By 1676, he rejected their status as quantities, yet continued to refine his arguments on this topic into the 1690s.The essay concludes with an analysis of Leibniz’s defense of his calculus in the early 18th century, showing how his later works naturally extended from earlier insights. This monograph will be a valuable resource for scholars and students of Leibniz and the history of science.

Leibniz on the Foundations of the Differential Calculus

The Story of Huge Numbers

Bibliografische Angaben

Schlagworte

Bibliografische Angaben

Schlagworte

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