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Gödel’s incompleteness theorems, free will and mathematical thought

SOLOMON FEFERMAN

in Free Will and Modern Science

Published in print:
2011
Published Online:
January 2013
ISBN:
9780197264898
eISBN:
9780191754074
Item type:
chapter
Publisher:
British Academy
DOI:
10.5871/bacad/9780197264898.003.0007
Subject:
Philosophy, Philosophy of Mind

The determinism-free will debate is perhaps as old as philosophy itself and has been engaged in from a great variety of points of view including those of scientific, theological, and logical ... More


The Transaction-Cost Approach

Pol Antràs

in Global Production: Firms, Contracts, and Trade Structure

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691168272
eISBN:
9781400873746
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691168272.003.0006
Subject:
Economics and Finance, Macro- and Monetary Economics

This chapter develops a transaction-cost model of the internalization decision of multinational firms. A key organizational decision of firms is the extent of control that firms choose to exert over ... More


The Property-Rights Approach

Pol Antràs

in Global Production: Firms, Contracts, and Trade Structure

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691168272
eISBN:
9781400873746
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691168272.003.0007
Subject:
Economics and Finance, Macro- and Monetary Economics

This chapter turns to the property-rights theory of the firm, which arguably constitutes the most compelling and influential theory of the firm explaining in a unified framework both the benefits as ... More


Gödel's Theorem

Graham Priest

in In Contradiction

Published in print:
2006
Published Online:
May 2007
ISBN:
9780199263301
eISBN:
9780191718823
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199263301.003.0004
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter presents an argument for dialetheism which draws on Gödel's first incompleteness theorem. This is a non-constructive argument, which does not produce dialetheias explicitly, but shows ... More


Saving Truth From Paradox

Hartry Field

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199230747
eISBN:
9780191710933
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230747.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

The book is an opinionated survey of philosophical work on paradoxes of truth and of related notions, such as property-instantiation, with occasional forays into related topics such as vagueness, the ... More


Are Supervaluational and Revision Theories Self‐Undermining?

Hartry Field

in Saving Truth From Paradox

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199230747
eISBN:
9780191710933
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230747.003.0013
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter is concerned with the extent to which supervaluation and revision theories can declare that their rules all preserve truth. The extent varies from one such theory to another, but none ... More


Validity, Truth‐Preservation, and the Second Incompleteness Theorem

Hartry Field

in Saving Truth From Paradox

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199230747
eISBN:
9780191710933
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230747.003.0020
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter begins with a survey of possible responses to the Curry paradox, and argues that the one offered by the theory of Chapters 15 through 18 is least disruptive of ordinary reasoning. Based ... More


Paraconsistent Dialetheism and Soundness

Hartry Field

in Saving Truth From Paradox

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199230747
eISBN:
9780191710933
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230747.003.0027
Subject:
Philosophy, Logic/Philosophy of Mathematics

Priest has argued that his dialetheic theories declare themselves sound and in this regard are better than non-dialetheic theories. This chapter shows this to be unfounded. Indeed, dialetheic ... More


The past is another country: is evidence for prehistoric, historical, and present-day extinction really comparable?

Samuel T. Turvey and Joanne H. Cooper

in Holocene Extinctions

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199535095
eISBN:
9780191715754
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535095.003.0010
Subject:
Biology, Evolutionary Biology / Genetics

Our understanding of Late Quaternary ecosystems and the timing and causation of prehistoric extinctions is based almost entirely on studies of the recent fossil record. However, palaeontological and ... More


Singularities

Yvonne Choquet-Bruhat

in General Relativity and the Einstein Equations

Published in print:
2008
Published Online:
May 2009
ISBN:
9780199230723
eISBN:
9780191710872
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230723.003.0013
Subject:
Mathematics, Applied Mathematics

This chapter presents a computable sufficient condition for the future causal completeness of a spacetime, and then a sufficient condition for its future or null incompleteness. It gives the ... More


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