The Metaphysics Of Quantities

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The Metaphysics Of Quantities

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Author : J. E. Wolff
language : en
Publisher: Oxford University Press, USA
Release Date : 2020-05-28

The Metaphysics Of Quantities written by J. E. Wolff and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-28 with Philosophy categories.

What are physical quantities, and in particular, what makes them quantitative? This book articulates and defends an original answer to this important, insufficiently understood question through the novel position of substantival structuralism. This position argues that quantitativeness is an irreducible feature of attributes, and quantitative attributes are best understood as substantival structured spaces. The book first explores what it means for an attribute to be quantitative, and what metaphysical implications a commitment to quantitative attributes has. It then sets the stage to address the metaphysical and ontological consequences of the existence of quantitative attributes.

The Metaphysical Principles Of The Infinitesimal Calculus

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Author : René Guénon
language : en
Publisher: Sophia Perennis
Release Date : 2003

The Metaphysical Principles Of The Infinitesimal Calculus written by René Guénon and has been published by Sophia Perennis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

Guénon's early and abiding interest in mathematics, like that of Plato, Pascal, Leibnitz, and many other metaphysicians of note, runs like a scarlet thread throughout his doctrinal studies. In this late text published just five years before his death, Guénon devotes an entire volume to questions regarding the nature of limits and the infinite with respect to the calculus both as a mathematical discipline and as symbolism for the initiatic path. This book therefore extends and complements the geometrical symbolism he employs in other works, especially The Symbolism of the Cross, The Multiple States of the Being, and Symbols of Sacred Science. According to Guénon, the concept 'infinite number' is a contradiction in terms. Infinity is a metaphysical concept at a higher level of reality than that of quantity, where all that can be expressed is the indefinite, not the infinite. But although quantity is the only level recognized by modern science, the numbers that express it also possess qualities, their quantitative aspect being merely their outer husk. Our reliance today on a mathematics of approximation and probability only further conceals the 'qualitative mathematics' of the ancient world, which comes to us most directly through the Pythagorean-Platonic tradition.

The Metaphysics Of Quantum Theory

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Author : Henry Krips
language : en
Publisher: Oxford University Press, USA
Release Date : 1987

The Metaphysics Of Quantum Theory written by Henry Krips and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Language Arts & Disciplines categories.

This book outlines the contours of the debate between Bohr's "orthodox" and Einstein's "realist" explanation of quantum theory, presenting a revised interpretation that resolves most of the paradoxes associated with quantum theory.

Attempt To Introduce The Concept Of Negative Quantities Into World Wisdom

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Author : Immanuel Kant
language : en
Publisher: Newcomb Livraria Press
Release Date :

Attempt To Introduce The Concept Of Negative Quantities Into World Wisdom written by Immanuel Kant and has been published by Newcomb Livraria Press this book supported file pdf, txt, epub, kindle and other format this book has been release on with Philosophy categories.

A new 2024 translation of "Attempt to Introduce the Concept of Negative Quantities into World Wisdom" from the original German manuscript first published in 1763. The original German title is "Versuch den Begriff der negativen Größen in die Weltweisheit einzuführen". This new edition contains an afterword by the translator, a timeline of Kant's life and works, and a helpful index of Kant's key concepts and intellectual rivals. This translation is designed for readability, rendering Kant's enigmatic German into the simplest equivalent possible, and removing the academic footnotes to make this critically important historical text as accessible as possible to the modern reader. The early sections of the treatise discuss the utility of mathematical methods in philosophical reasoning, emphasizing the potential of mathematical concepts, such as negative quantities, to enhance metaphysical understanding. Kant critically evaluates existing philosophical methods and proposes the integration of mathematical precision into philosophical discourse. Kant delves into the mathematical understanding of negative numbers and explores their philosophical implications, arguing for their relevance beyond mere mathematical operations. The paper presents a detailed exploration of how negative quantities, understood mathematically, can contribute to a more nuanced understanding of metaphysical concepts. The paper also discusses the opposition between logical and real oppositions, drawing parallels and distinctions between mathematical and philosophical reasoning. Kant emphasizes the importance of considering both types of opposition in understanding philosophical problems, and argues that the concept of negative quantities offers a novel way of approaching these problems.

Reflexions On The Metaphysical Principles Of The Infinitesimal Analysis

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Author : Lazare Carnot
language : en
Publisher:
Release Date : 1832

Reflexions On The Metaphysical Principles Of The Infinitesimal Analysis written by Lazare Carnot and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1832 with Calculus categories.

The Tools Of Metaphysics And The Metaphysics Of Science

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Author : Theodore Sider
language : en
Publisher: Oxford University Press
Release Date : 2020-02-19

The Tools Of Metaphysics And The Metaphysics Of Science written by Theodore Sider and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-19 with Philosophy categories.

Metaphysics is sensitive to the conceptual tools we choose to articulate metaphysical problems. Those tools are a lens through which we view metaphysical problems, and the same problems will look different when we change the lens. In this book, Theodore Sider identifies how the shift from modal to "postmodal" conceptual tools in recent years has affected the metaphysics of science and mathematics. He highlights, for instance, how the increased consideration of concepts of ground, essence, and fundamentality has transformed the debate over structuralism in many ways. Sider then examines three structuralist positions through a postmodal lens. First, nomic essentialism, which says that scientific properties are secondary and lawlike relationships among them are primary. Second, structuralism about individuals, a general position of which mathematical structuralism and structural realism are instances, which says that scientific and mathematical objects are secondary and the pattern of relations among them is primary. And third, comparativism about quantities, which says that particular values of scientific quantities, such as having exactly 1000g mass, are secondary, and quantitative relations, such as being-twice-as-massive-as, are primary. Sider concludes these discussions by considering the meta-question of when theories are equivalent and how that impacts the debate over structuralism.

Knowledge And The Philosophy Of Number

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Author : Keith Hossack
language : en
Publisher: Bloomsbury Publishing
Release Date : 2020-02-20

Knowledge And The Philosophy Of Number written by Keith Hossack and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-20 with Mathematics categories.

If numbers were objects, how could there be human knowledge of number? Numbers are not physical objects: must we conclude that we have a mysterious power of perceiving the abstract realm? Or should we instead conclude that numbers are fictions? This book argues that numbers are not objects: they are magnitude properties. Properties are not fictions and we certainly have scientific knowledge of them. Much is already known about magnitude properties such as inertial mass and electric charge, and much continues to be discovered. The book says the same is true of numbers. In the theory of magnitudes, the categorial distinction between quantity and individual is of central importance, for magnitudes are properties of quantities, not properties of individuals. Quantity entails divisibility, so the logic of quantity needs mereology, the a priori logic of part and whole. The three species of quantity are pluralities, continua and series, and the book presents three variants of mereology, one for each species of quantity. Given Euclid's axioms of equality, it is possible without the use of set theory to deduce the axioms of the natural, real and ordinal numbers from the respective mereologies of pluralities, continua and series. Knowledge and the Philosophy of Number carries out these deductions, arriving at a metaphysics of number that makes room for our a priori knowledge of mathematical reality.

Reflexions On The Metaphysical Principles Of The Infinitesimal Analysis Translated By The Rev W R Browell

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Author : Lazare Nicolas Marguerite CARNOT (Count.)
language : en
Publisher:
Release Date : 1832

Reflexions On The Metaphysical Principles Of The Infinitesimal Analysis Translated By The Rev W R Browell written by Lazare Nicolas Marguerite CARNOT (Count.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1832 with categories.

The Metaphysics Of Aristotle

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Author : Aristotle
language : en
Publisher:
Release Date : 1801

The Metaphysics Of Aristotle written by Aristotle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1801 with First philosophy categories.

The Metaphysics Of Aristotle Literally Translated From The Greek With Notes Analysis Questions And Index By The Rev John H M Mahon

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Author : Aristotle
language : en
Publisher:
Release Date : 1857

The Metaphysics Of Aristotle Literally Translated From The Greek With Notes Analysis Questions And Index By The Rev John H M Mahon written by Aristotle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1857 with categories.