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On Advaita

Srinivasa Rao

in Advaita: A Contemporary Critique

Published in print:
2011
Published Online:
September 2012
ISBN:
9780198079811
eISBN:
9780199081707
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198079811.003.0019
Subject:
Philosophy, General

The term Advaita which literally means non-duality, is a denial only of the ultimacy of duality and difference. It only means that there is no difference which is so radical, ultimate and fundamental ... More


Advaita: A Contemporary Critique

Srinivasa Rao

Published in print:
2011
Published Online:
September 2012
ISBN:
9780198079811
eISBN:
9780199081707
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198079811.001.0001
Subject:
Philosophy, General

The book proposes a contemporary framework for critiquing Advaita and formulating its basic thesis in a more logical and convincing way. Any proper theory in philosophy and science has to follow from ... More


On Ignorance

Srinivasa Rao

in Advaita: A Contemporary Critique

Published in print:
2011
Published Online:
September 2012
ISBN:
9780198079811
eISBN:
9780199081707
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198079811.003.0008
Subject:
Philosophy, General

No one believes that he does not know himself or the world around him because everyone is familiar with both these. Therefore the question naturally arises as to what exactly is meant by the ... More


Seeing Differently

Srinivasa Rao

in Advaita: A Contemporary Critique

Published in print:
2011
Published Online:
September 2012
ISBN:
9780198079811
eISBN:
9780199081707
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198079811.003.0011
Subject:
Philosophy, General

If our perceptions are different, the objects we perceive in them are also not necessarily different because the very same object may come to be perceived differently, for example, a rope as a snake. ... More


The Nature of the World

Srinivasa Rao

in Advaita: A Contemporary Critique

Published in print:
2011
Published Online:
September 2012
ISBN:
9780198079811
eISBN:
9780199081707
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198079811.003.0014
Subject:
Philosophy, General

The world is described in Advaita as anātman which is sadasadvilaksana in nature. But as a positive entity different in its basic nature from the Self, it leads to a logically unavoidable dualism ... More


Baudelaire's Prose Poems: The Practice and Politics of Irony

Sonya Stephens

Published in print:
1999
Published Online:
October 2011
ISBN:
9780198158776
eISBN:
9780191673351
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198158776.001.0001
Subject:
Literature, European Literature, Poetry

The aim of this book is to offer a new reading of Baudelaire's Petits Poèmes en Prose that demonstrates the significance of ironic otherness for the theory and functioning of the work and for the ... More


Derived Categories of Coherent Sheaves

D. Huybrechts

in Fourier-Mukai Transforms in Algebraic Geometry

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199296866
eISBN:
9780191711329
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296866.003.0003
Subject:
Mathematics, Geometry / Topology

The discussion of the previous chapter is applied to the derived category of the abelian category of coherent sheaves. The Serre functor is introduced, and particular spanning classes are ... More


Duality

Ben Brubaker, Daniel Bump, and Solomon Friedberg

in Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory (AM-175)

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691150659
eISBN:
9781400838998
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691150659.003.0003
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter shows that the boxing and circling decorations of the BZL patterns are in a sense dual to each other. The circling and boxing rules seem quite different from each other, but they are ... More


Results of Goursat-Kolchin-Ribet Type

Nicholas M. Katz

in Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153308
eISBN:
9781400842704
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153308.003.0014
Subject:
Mathematics, Number Theory

This chapter takes up the proofs of Theorems 13.1–13.5. Suppose we are given some number r ≤ 2 of objects N₁; N₂, Nᵣ in Garith of some common “dimension” d ≤ 1. Suppose they are all ι‎-pure of weight ... More


1522–1526: Unrest

Gregory B. Graybill

in Evangelical Free Will: Phillipp Melanchthon's Doctrinal Journey on the Origins of Faith

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199589487
eISBN:
9780191594588
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199589487.003.0005
Subject:
Religion, Church History

The Wittenberg Unrest of 1521–2 caused Melanchthon to emphasize civil freedom, although he still maintained the spiritual bondage of the will. This new emphasis occurred in tandem with the ... More


THE PARTIAL ORDER OF GRAPHS AND HOMOMORPHISMS

Pavol Hell and Jaroslav Nešetřil

in Graphs and Homomorphisms

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198528173
eISBN:
9780191713644
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528173.003.0003
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter considers the order homomorphisms induce on the set of all cores; this order is rich enough to represent all countable partial orders. Antichains in the homomorphism order are discussed, ... More


DUALITY

Steve Awodey

in Category Theory

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198568612
eISBN:
9780191717567
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568612.003.0003
Subject:
Mathematics, Algebra

Examples of definitions and statements which exhibit a kind of ‘duality’, such as initial and terminal object and epimorphisms and monomorphisms have been shown. This chapter now considers this ... More


FUNCTORS AND NATURALITY

Steve Awodey

in Category Theory

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198568612
eISBN:
9780191717567
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568612.003.0007
Subject:
Mathematics, Algebra

This chapter develops a general theory for functors. Topics discussed include category of categories, representable structure, stone duality, naturality, examples of natural transformations, ... More


 Fighting It Out

Ken Binmore

in Playing for Real: Game Theory

Published in print:
2007
Published Online:
May 2007
ISBN:
9780195300574
eISBN:
9780199783748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195300574.003.0007
Subject:
Economics and Finance, Microeconomics

This chapter describes the theory of two-person, zero-sum games invented by John Von Neumann in 1928. It begins with an application to the computation of economic shadow prices. It shows that a ... More


Operator spaces

David P. Blecher and Christian Le Merdy

in Operator Algebras and Their Modules: An operator space approach

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198526599
eISBN:
9780191712159
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526599.003.0001
Subject:
Mathematics, Pure Mathematics

This chapter presents some background results about operator spaces and establishes some notations which will be used throughout this book. It can serve as a mini-course on the basics of operator ... More


Some ‘extremal theory’

David P. Blecher and Christian Le Merdy

in Operator Algebras and Their Modules: An operator space approach

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198526599
eISBN:
9780191712159
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526599.003.0004
Subject:
Mathematics, Pure Mathematics

Many problems in functional analysis are best addressed via extreme points. Extreme points, particularly in the guise of the Choquet or Shilov boundaries, play a substantial role in the theory of ... More


PHASE-TYPE QUEUES

D. A. Bini, G. Latouche, and B. Meini

in Numerical Methods for Structured Markov Chains

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198527688
eISBN:
9780191713286
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527688.003.0005
Subject:
Mathematics, Numerical Analysis

In this chapter a series of processes with a variety of transition structures are considered and their analysis is presented in a unifying manner. These processes are grouped under the generic name ... More


Linear Programming

S. N. Afriat

in Logic of Choice and Economic Theory

Published in print:
1987
Published Online:
November 2003
ISBN:
9780198284611
eISBN:
9780191595844
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198284616.003.0026
Subject:
Economics and Finance, Microeconomics

This is the third of five chapters on optimal programming (the typical mathematics of economics) and related issues as related to choice making. It discusses linear programming, which might appear to ... More


POINCARÉ DUALITY

Andrew Ranicki

in Algebraic and Geometric Surgery

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198509240
eISBN:
9780191708725
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509240.003.0004
Subject:
Mathematics, Geometry / Topology

Poincaré duality is an isomorphism between the homology and cohomology of a manifold. The chapter introduces the basic duality and the universal Poincaré duality for non-simply-connected manifolds ... More


POINCARÉ COMPLEXES AND SPHERICAL FIBRATIONS

Andrew Ranicki

in Algebraic and Geometric Surgery

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198509240
eISBN:
9780191708725
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509240.003.0009
Subject:
Mathematics, Geometry / Topology

A Poincaré complex is a space with Poincaré duality. Spherical fibrations are the homotopy theoretic analogues of vector bundles. The Spivak normal fibration is the homotopy theoretic analogue of the ... More


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