The Philosophy of Numbers

The Philosophy of Numbers PDF Author: Dow L. Balliett
Publisher: Health Research Books
ISBN: 9780787300678
Category :
Languages : en
Pages : 180

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Book Description
1908 Contents: Your First Birth; Eventful Births; If We Have Individual Colors, When & How Did We First Receive Them?; Use of Birth Vibrations; Meaning of Colors as Disclosed Through Vibration of Numbers as Taught by Pythagoras; Exercises; Reading.

The Philosophy of Numbers

The Philosophy of Numbers PDF Author: Dow L. Balliett
Publisher: Health Research Books
ISBN: 9780787300678
Category :
Languages : en
Pages : 180

Get Book Here

Book Description
1908 Contents: Your First Birth; Eventful Births; If We Have Individual Colors, When & How Did We First Receive Them?; Use of Birth Vibrations; Meaning of Colors as Disclosed Through Vibration of Numbers as Taught by Pythagoras; Exercises; Reading.

Uncountable

Uncountable PDF Author: David Nirenberg
Publisher: University of Chicago Press
ISBN: 022664698X
Category : History
Languages : en
Pages : 429

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Book Description
"From the time of Pythagoras, we have been tempted to treat numbers as the ultimate or only truth. This book tells the history of that habit of thought. But more, it argues that the logic of counting sacrifices much of what makes us human, and that we have a responsibility to match the objects of our attention to the forms of knowledge that do them justice. Humans have extended the insights and methods of number and mathematics to more and more aspects of the world, even to their gods and their religions.Today those powers are greater than ever, as computation is applied to virtually every aspect of human activity.But the rules of mathematics do not strictly apply to many things-from elementary particles to people-in the world.By subjecting such things to the laws of logic and mathematics, we gain some kinds of knowledge, but we also lose others. How do our choices about what parts of the world to subject to the logics of mathematics affect how we live and how we die?This question is rarely asked, but it is urgent, because the sciences built upon those laws now govern so much of our knowledge, from physics to psychology.Number and Knowledge sets out to ask it. In chapters proceeding chronologically from Ancient Greek philosophy and the rise of monotheistic religions to the emergence of modern physics and economics, the book traces how ideals, practices, and habits of thought formed over millennia have turned number into the foundation-stone of human claims to knowledge and certainty.But the book is also a philosophical and poetic exhortation to take responsibility for that history, for the knowledge it has produced, and for the many aspects of the world and of humanity that it ignores or endangers.To understand what can be counted and what can't is to embrace the ethics of purposeful knowing"--

Philosophy of Arithmetic

Philosophy of Arithmetic PDF Author: Edmund Husserl
Publisher: Springer Science & Business Media
ISBN: 9401000603
Category : Mathematics
Languages : en
Pages : 558

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Book Description
This volume is a window on a period of rich and illuminating philosophical activity that has been rendered generally inaccessible by the supposed "revolution" attributed to "Analytic Philosophy" so-called. Careful exposition and critique is given to every serious alternative account of number and number relations available at the time.

The Social Life of Numbers

The Social Life of Numbers PDF Author: Gary Urton
Publisher: University of Texas Press
ISBN: 0292786840
Category : Social Science
Languages : en
Pages : 294

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Book Description
Unraveling all the mysteries of the khipu--the knotted string device used by the Inka to record both statistical data and narrative accounts of myths, histories, and genealogies--will require an understanding of how number values and relations may have been used to encode information on social, familial, and political relationships and structures. This is the problem Gary Urton tackles in his pathfinding study of the origin, meaning, and significance of numbers and the philosophical principles underlying the practice of arithmetic among Quechua-speaking peoples of the Andes. Based on fieldwork in communities around Sucre, in south-central Bolivia, Urton argues that the origin and meaning of numbers were and are conceived of by Quechua-speaking peoples in ways similar to their ideas about, and formulations of, gender, age, and social relations. He also demonstrates that their practice of arithmetic is based on a well-articulated body of philosophical principles and values that reflects a continuous attempt to maintain balance, harmony, and equilibrium in the material, social, and moral spheres of community life.

Introduction to Mathematical Philosophy

Introduction to Mathematical Philosophy PDF Author: Bertrand Russell
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 224

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Book Description


Lectures on the Philosophy of Mathematics

Lectures on the Philosophy of Mathematics PDF Author: Joel David Hamkins
Publisher: MIT Press
ISBN: 0262542234
Category : Mathematics
Languages : en
Pages : 350

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Book Description
An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.

Philosophy of Mathematics

Philosophy of Mathematics PDF Author: Øystein Linnebo
Publisher: Princeton University Press
ISBN: 069120229X
Category : Mathematics
Languages : en
Pages : 214

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Book Description
A sophisticated, original introduction to the philosophy of mathematics from one of its leading thinkers Mathematics is a model of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic, accessible introduction to the field that is trying to answer that question: the philosophy of mathematics. Øystein Linnebo, one of the world's leading scholars on the subject, introduces all of the classical approaches to the field as well as more specialized issues, including mathematical intuition, potential infinity, and the search for new mathematical axioms. Sophisticated but clear and approachable, this is an essential book for all students and teachers of philosophy and of mathematics.

The Reality of Numbers

The Reality of Numbers PDF Author: John Bigelow
Publisher: Oxford University Press on Demand
ISBN: 9780198249573
Category : History
Languages : en
Pages : 193

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Book Description
This book casts new light on mathematics through its consideration of metaphysical materialism. The author identifies natural, real and imaginary numbers and sets with specified physical properties and relations. However sets are construed numbers are not sets. Sets are important simply because they instantiate all the numbers and all the other properties and relations studied in mathematics. Set theory tempts us into misunderstanding the nature of mathematics; Bigelow challenges the myth that mathematicalobjects can be defined into existence. By reconstruing numbers as real, non-linguistic, physical properties or relations, mathematics can be drawn back from its sterile, abstract exile into the midst of the physical world to which we belong.

The Real Jouissance of Uncountable Numbers

The Real Jouissance of Uncountable Numbers PDF Author: Raul Moncayo
Publisher: Routledge
ISBN: 0429921993
Category : Psychology
Languages : en
Pages : 189

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Book Description
Lacan critiqued imaginary intuition for confusing direct perception with unconscious pre-conceptions about people and the world. The emphasis on description goes hand in hand with a rejection of theory and the science of the unconscious and a belief in the naive self-transparency of the world. At the same time, knowing in and of the Real requires a place beyond thinking, multi-valued forms of logic, mathematical equations, and different conceptions of causality, acausality, and chance. This book explores some of the mathematical problems raised by Lacan's use of numbers and the interconnection between mathematics and psychoanalytic ideas. Within any system, mathematical or otherwise, there are holes, or acausal cores and remainders of indecidability. It is this senseless point of non-knowledge that makes change, and the emergence of the new, possible within a system. This book differentiates between two types of void, and aligns them with the Lacanian concepts of a true and a false hole and the psychoanalytic theory of primary repression.

The Philosophy Book

The Philosophy Book PDF Author: DK
Publisher: Penguin
ISBN: 1465441069
Category : Philosophy
Languages : en
Pages : 772

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Book Description
Discover how our big social, political and ethical ideas are formed with The Philosophy Book. Part of the fascinating Big Ideas series, this book tackles tricky topics and themes in a simple and easy to follow format. Learn about Philosophy in this overview guide to the subject, great for beginners looking to learn and experts wishing to refresh their knowledge alike! The Philosophy Book brings a fresh and vibrant take on the topic through eye-catching graphics and diagrams to immerse yourself in. This captivating book will broaden your understanding of Philosophy, with: - Key quotes from more than 100 of the great thinkers of philosophy - Packed with facts, charts, timelines and graphs to help explain core concepts - A visual approach to big subjects with striking illustrations and graphics throughout - Easy to follow text makes topics accessible for people at any level of understanding The Philosophy Book is the perfect introduction to philosophy, aimed at adults with an interest in the subject and students wanting to gain more of an overview. Here you'll discover how key concepts in philosophy have shaped our world, with authoritative articles that explore big ideas. Learn about everyone who's contributed to the flow of world philosophy, from antiquity to the modern age, through superb mind maps explaining the line of thought. Your Philosophical Questions, Simply Explained If you thought it was difficult to learn philosophy and its many concepts, The Philosophy Book presents the key ideas in a clear layout. Find out what philosophers thought about the nature of reality, and the fundamental questions we ask ourselves; What is the meaning of life? What is the Universe made of? And work your way through the different branches of philosophy such as metaphysics and ethics, from ancient and modern thinkers. The Big Ideas Series With millions of copies sold worldwide, The Philosophy Book is part of the award-winning Big Ideas series from DK. The series uses striking graphics along with engaging writing, making big topics easy to understand.