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The Structure of Models of Peano Arithmetic

Roman Kossak and James Schmerl

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198568278
eISBN:
9780191718199
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568278.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This book gives an account of the present state of research on lattices of elementary substructures and automorphisms of nonstandard models of arithmetic. Major representation theorems are proved, ... More


Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap

Michael Potter

Published in print:
2002
Published Online:
May 2007
ISBN:
9780199252619
eISBN:
9780191712647
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199252619.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

This book is a critical examination of the astonishing progress made in the philosophical study of the properties of the natural numbers from the 1880s to the 1930s. It reassesses the brilliant ... More


Truthmakers

David M. Armstrong

in Sketch for a Systematic Metaphysics

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199590612
eISBN:
9780191723391
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199590612.003.0008
Subject:
Philosophy, Philosophy of Mind, Metaphysics/Epistemology

The notion of a truthmaker is introduced, and the importance of the notion for metaphysics is stressed. Russell was a pioneer. All truth is a matter of correspondence of a proposition to reality, so ... More


The Concept of an Object in Formal Ontology

E. J. Lowe

in The Four-Category Ontology: A Metaphysical Foundation for Natural Science

Published in print:
2005
Published Online:
May 2006
ISBN:
9780199254392
eISBN:
9780191603600
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199254397.003.0005
Subject:
Philosophy, Metaphysics/Epistemology

The formal ontological concept of an object is explicated and contrasted with that of a property. F. P. Ramsey’s objections to this distinction are challenged. The sense in which objects possess an ... More


Ramsey's Problem and its Solution

E. J. Lowe

in The Four-Category Ontology: A Metaphysical Foundation for Natural Science

Published in print:
2005
Published Online:
May 2006
ISBN:
9780199254392
eISBN:
9780191603600
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199254397.003.0007
Subject:
Philosophy, Metaphysics/Epistemology

F. P. Ramsey’s objections to the universal/particular distinction, especially as advocated by Bertrand Russell, are examined in depth and rebutted. At the same time, certain important lessons are ... More


Consumption En Route: The Second Turnpike Theorem

Michio Morishima

in Theory of Economic Growth

Published in print:
1969
Published Online:
November 2003
ISBN:
9780198281641
eISBN:
9780191596667
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198281641.003.0013
Subject:
Economics and Finance, Development, Growth, and Environmental

Chapter 10 was concerned with the Final State Turnpike Theorem on the assumptions that consumption of each good per worker is fixed throughout the planning period and that the authorities try to ... More


The Practical Turn: Pragmatism in Britain in the Long Twentieth Century

Cheryl Misak and Huw Price (eds)

Published in print:
2017
Published Online:
May 2018
ISBN:
9780197266168
eISBN:
9780191865237
Item type:
book
Publisher:
British Academy
DOI:
10.5871/bacad/9780197266168.001.0001
Subject:
Philosophy, General

The pragmatist approach to philosophical problems focuses on the role of disputed notions—for example, truth, value, causation, probability, necessity—in our practices. The insight at the heart of ... More


EPISTEMIC CAUSALITY

Jon Williamson

in Bayesian Nets and Causality: Philosophical and Computational Foundations

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198530794
eISBN:
9780191712982
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530794.003.0009
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter develops an epistemic theory of causality. The origins of such a theory may be found in the writings of Kant and Ramsey. According to the epistemic theory, we think in terms of cause and ... More


ω1-LIKE MODELS

Roman Kossak and James H. Schmerl

in The Structure of Models of Peano Arithmetic

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198568278
eISBN:
9780191718199
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568278.003.0010
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter presents several constructions of ω1-like models with interesting second order properties. The list includes: recursively saturated rather classless models, rigid recursively saturated ... More


Ramsey

Michael Potter

in Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap

Published in print:
2002
Published Online:
May 2007
ISBN:
9780199252619
eISBN:
9780191712647
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199252619.003.0009
Subject:
Philosophy, Logic/Philosophy of Mathematics

Frank Ramsey was involved in preparing the English translation of the Tractatus as an undergraduate at Cambridge. He developed an account of the theory of types which avoided the difficulties ... More


Conclusion

Michael Potter

in Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap

Published in print:
2002
Published Online:
May 2007
ISBN:
9780199252619
eISBN:
9780191712647
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199252619.003.0013
Subject:
Philosophy, Logic/Philosophy of Mathematics

This concluding chapter summarizes the discussion in the preceding chapters. The book sought an answer to the question: can we give an account of arithmetic which does not make it depend for its ... More


HOW TO CONTROL TYPES

Roman Kossak and James H. Schmerl

in The Structure of Models of Peano Arithmetic

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198568278
eISBN:
9780191718199
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568278.003.0005
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter makes use of an induced version of Ramsey's Theorem to prove several results: the Abramson-Harrington theorem on omitting large indiscernible sets and Hanf numbers for models of ... More


The Ramsey Rule

Christian Gollier

in Pricing the Planet's Future: The Economics of Discounting in an Uncertain World

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691148762
eISBN:
9781400845408
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691148762.003.0002
Subject:
Economics and Finance, Development, Growth, and Environmental

This chapter presents the main argument in favor of a positive discount rate. In a growing economy, future generations will consume more goods and services than we do. In this context, investing for ... More


Ramsey on truth and meaning

Ian Rumfitt

in Episteme, etc.: Essays in Honour of Jonathan Barnes

Published in print:
2011
Published Online:
May 2012
ISBN:
9780199696482
eISBN:
9780191738036
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199696482.003.0011
Subject:
Philosophy, Ancient Philosophy, Logic/Philosophy of Mathematics

This chapter develops F. P. Ramsey's theory of truth. Everyone knows that Ramsey had a theory of truth. Rather fewer people know that the theory came in two significantly different versions, and that ... More


Optimal Commodity Taxation

Chris Jones

in Applied Welfare Economics

Published in print:
2005
Published Online:
July 2005
ISBN:
9780199281978
eISBN:
9780191602535
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199281971.003.0009
Subject:
Economics and Finance, Public and Welfare

Rules for setting Ramsey (1927) optimal commodity taxes are derived in this chapter using the conventional welfare analysis presented in Ch. 6. When these tax rules apply, Diamond and Mirrlees (1971) ... More


Maurice Frank Wiles 1923–2005

Rowan Williams and Frances Young

in Proceedings of the British Academy, Volume 153 Biographical Memoirs of Fellows, VII

Published in print:
2008
Published Online:
January 2012
ISBN:
9780197264348
eISBN:
9780191734250
Item type:
chapter
Publisher:
British Academy
DOI:
10.5871/bacad/9780197264348.003.0015
Subject:
History, Historiography

Maurice Frank Wiles (1923–2005), a Fellow of the British Academy, was an Anglican theologian who was able within that tradition to develop the field of ‘doctrinal criticism’. He began his career ... More


Ramsey's Dialetheism

Vann McGee

in The Law of Non-Contradiction

Published in print:
2004
Published Online:
May 2010
ISBN:
9780199265176
eISBN:
9780191713989
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199265176.003.0018
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

For accommodating defective utterances within compositional semantics, truth-value gaps (Kleene's 3-valued logic) and gluts (Priest's LP) are equally efficient, but in terms of classical logic gaps ... More


MOLECULAR-BEAM MAGNETIC RESONANCE METHODS

Norman F. Ramsey

in Molecular Beams

Published in print:
1986
Published Online:
September 2007
ISBN:
9780198520214
eISBN:
9780191706325
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198520214.003.0005
Subject:
Physics, Atomic, Laser, and Optical Physics

A brief history of early magnetic resonance methods is given. In 1938, Rabi published the description of the first successful magnetic resonance experiment which he had used with collaborators to ... More


Economics and Politics of Excise Taxation *

Sijbren Cnossen

in Theory and Practice of Excise Taxation: Smoking, Drinking, Gambling, Polluting, and Driving

Published in print:
2005
Published Online:
October 2005
ISBN:
9780199278596
eISBN:
9780191602856
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199278598.003.0001
Subject:
Economics and Finance, Financial Economics

Excise taxes, broadly defined, are important revenue instruments. Their distinguishing features are selectivity in coverage, discrimination in intent, and often some form of quantitative measurement ... More


Simultaneous Optimization of Population and Capital

Michio Morishima

in Theory of Economic Growth

Published in print:
1969
Published Online:
November 2003
ISBN:
9780198281641
eISBN:
9780191596667
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198281641.003.0016
Subject:
Economics and Finance, Development, Growth, and Environmental

The problem of optimum savings has been discussed by Ramsey on the assumption of a constant population and later by a number of economists on the more general assumption that the labour force expands ... More


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