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The Worldview of Personalism: Origins and Early Development

Jan Olof Bengtsson

Published in print:
2006
Published Online:
January 2007
ISBN:
9780199297191
eISBN:
9780191711374
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199297191.001.0001
Subject:
Philosophy, Philosophy of Religion

The book challenges the current view that personalism is primarily an early 20th-century phenomenon. The established definitions of personalism, mainly in terms of the American school of B. P. Bowne, ... More


The Principle of Individuation

Jacqueline Mariña

in Transformation of the Self in the thought of Schleiermacher

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199206377
eISBN:
9780191709753
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199206377.003.0003
Subject:
Religion, Philosophy of Religion

This chapter examines the grounds for the younger Schleiermacher's claim in Spinozism that there are no genuine individuals. Making extensive use of Kant's philosophy, Schleiermacher defends ... More


On the Stochastic Burgers Equation and Some Applications to Turbulence and Astrophysics

A.D. Neate and A. Truman

in Analysis and Stochastics of Growth Processes and Interface Models

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199239252
eISBN:
9780191716911
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199239252.003.0013
Subject:
Mathematics, Probability / Statistics, Analysis

This chapter summarises a selection of results on the inviscid limit of the stochastic Burgers equation emphasising geometric properties of the caustic, Maxwell set and Hamilton-Jacobi level surfaces ... More


Orthogonal Procrustes problems

J. C. Gower and G. B. Dijksterhuis

in Procrustes Problems

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198510581
eISBN:
9780191708961
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198510581.003.0004
Subject:
Mathematics, Probability / Statistics

This chapter discusses the principal forms of T, specifically the case where T is an orthogonal matrix Q; then X1 and X2 must have the same number of columns P. ... More


SOME HOMOGENIZATION PROBLEMS

Andrea Braides

in Gamma-Convergence for Beginners

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198507840
eISBN:
9780191709890
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507840.003.0004
Subject:
Mathematics, Applied Mathematics

Homogenization problems for a general class of integrals are solved by a direct approach. Different homogenization formulas are given, both in an asymptotic form and as a cell problem (in the convex ... More


STRUCTURED INVERSE EIGENVALUE PROBLEMS

Moody T. Chu and Gene H. Golub

in Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566649
eISBN:
9780191718021
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566649.003.0004
Subject:
Mathematics, Applied Mathematics

The feasibility conditions for a physical system often mandate specific structural stipulations on the inverse problems. This chapter focuses on eight selected structures: Jacobi matrices, Toeplitz ... More


Reinhold's First Letters on Kant

Karl Ameriks

in Kant and the Historical Turn: Philosophy as Critical Interpretation

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199205349
eISBN:
9780191709272
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199205349.003.0008
Subject:
Philosophy, History of Philosophy

This chapter explains how Reinhold's Letters took the form of a ‘short’ Critique, which immediately after its publication was much more influential than the complex details of Kant's lengthy ... More


The Hamilton-Jacobi Equation and Weak KAM Theory

Alfonso Sorrentino

in Action-minimizing Methods in Hamiltonian Dynamics (MN-50): An Introduction to Aubry-Mather Theory

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691164502
eISBN:
9781400866618
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691164502.003.0005
Subject:
Mathematics, Applied Mathematics

This chapter describes another interesting approach to the study of invariant sets provided by the so-called weak KAM theory, developed by Albert Fathi. This approach can be considered as the ... More


Lessing's “Spinozism”

Toshimasa Yasukata

in Lessing's Philosophy of Religion and the German Enlightenment

Published in print:
2003
Published Online:
November 2003
ISBN:
9780195144949
eISBN:
9780199834891
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195144945.003.0008
Subject:
Religion, Philosophy of Religion

Argues the question of Lessing's alleged “Spinozism.” The discussion shows that Lessing's hen kai pan [One and All] signifies not a Spinozistic pantheism but a panentheism of spiritualistic stamp. It ... More


Conclusion

Thomas Holden

in Spectres of False Divinity: Hume's Moral Atheism

Published in print:
2010
Published Online:
May 2010
ISBN:
9780199579945
eISBN:
9780191722776
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199579945.003.0008
Subject:
Philosophy, History of Philosophy, Philosophy of Religion

This concluding chapter summarizes Hume's overall case for divine amorality and assesses the significance of his commitment to moral atheism, both for our wider understanding of his theoretical and ... More


Krylov Subspace Methods: Principles and Analysis

Jörg Liesen and Zdenek Strakos

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199655410
eISBN:
9780191744174
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199655410.001.0001
Subject:
Mathematics, Applied Mathematics, Algebra

This book offers a detailed treatment of the mathematical theory of Krylov subspace methods with focus on solving systems of linear algebraic equations. Starting from the idea of projections, Krylov ... More


Faith and Freedom: Moses Mendelssohn's Theological-Political Thought

Michah Gottlieb

Published in print:
2011
Published Online:
May 2011
ISBN:
9780195398946
eISBN:
9780199894499
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195398946.001.0001
Subject:
Religion, Judaism, Philosophy of Religion

Moses Mendelssohn (1729–1786) is often considered the founder of modern Jewish philosophy or even of modern Judaism. For many, Mendelssohn's commitment to enlightened values appeared to be ... More


Peirce, Hegel, and the Category of Firstness

Robert Stern

in Hegelian Metaphysics

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199239108
eISBN:
9780191716942
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199239108.003.0011
Subject:
Philosophy, General

This chapter concerns Peirce's claim that Hegel neglected to give sufficient weight to what Peirce called ‘Firstness’, by which Peirce meant immediacy or individuality. Peirce's concerns are compared ... More


Generalities

Adam M. Bincer

in Lie Groups and Lie Algebras: A Physicist's Perspective

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199662920
eISBN:
9780191745492
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199662920.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Generalities refers to the definition of basic concepts. The goal here is to define group, field, vector space and algebra. The chapter starts with the definitions of associativity, identity, inverse ... More


Either/Or: Jacobi's Attack on the Moderate Enlightenment

Michah Gottlieb

in Faith and Freedom: Moses Mendelssohn's Theological-Political Thought

Published in print:
2011
Published Online:
May 2011
ISBN:
9780195398946
eISBN:
9780199894499
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195398946.003.0004
Subject:
Religion, Judaism, Philosophy of Religion

This chapter analyzes of Jacobi's critique of Mendelssohn's moderate religious enlightenment. For Jacobi, the very structure of reason is inimical to freedom and undermines individuality since reason ... More


Enlightenment Reoriented: Mendelssohn's Pragmatic Religious Idealism

Michah Gottlieb

in Faith and Freedom: Moses Mendelssohn's Theological-Political Thought

Published in print:
2011
Published Online:
May 2011
ISBN:
9780195398946
eISBN:
9780199894499
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195398946.003.0005
Subject:
Religion, Judaism, Philosophy of Religion

Mendelssohn sees Jacobi's favoring of republicanism as a rhetorical subterfuge aimed at promoting religious despotism. For Mendelssohn, Jacobi's rejection of the authority of reason in metaphysics ... More


The rigid body

S. G. Rajeev

in Advanced Mechanics: From Euler's Determinism to Arnold's Chaos

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199670857
eISBN:
9780191775154
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199670857.003.0005
Subject:
Physics, Atomic, Laser, and Optical Physics

In this chapter, the moment of inertia is defined and Euler's equations for the rigid body are derived. They can be solved in terms of Jacobi elliptic functions.


Hamilton–Jacobi theory

S. G. Rajeev

in Advanced Mechanics: From Euler's Determinism to Arnold's Chaos

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199670857
eISBN:
9780191775154
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199670857.003.0009
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter derives the Hamilton-Jacobi equation. Euler's two centre problem is solved by using separation of variables in the elliptical co-ordinate system. The connection to the eikonal equation ... More


The three body problem

S. G. Rajeev

in Advanced Mechanics: From Euler's Determinism to Arnold's Chaos

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199670857
eISBN:
9780191775154
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199670857.003.0011
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter derives the consequences of scale invariance in the three body problem. Jacobi co-ordinates are introduced. The orbits are geodesics in a certain metric. The three body problem with ... More


The restricted three body problem

S. G. Rajeev

in Advanced Mechanics: From Euler's Determinism to Arnold's Chaos

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199670857
eISBN:
9780191775154
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199670857.003.0012
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter includes a detailed study of the three body problem where one of the bodies is infinitesimal and the other two are in circular motion. This applies to the Sun-Jupiter-Asteroid, ... More


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