On Formally Undecidable Propositions of Principia Mathematica and Related Systems
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The Scottish Question
EN NW EB DL
ISBN: 9780191002366 bzw. 0191002364, in Englisch, OUP Oxford, neu, E-Book, elektronischer Download.
Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Despatched same working day before 3pm.
Over half a century ago, a leading commentator suggested that Scotland was very unusual in being a country which was, in some sense at least, a nation but in no sense a state.He asked whether something 'so anomalous' could continue to exist in the modern world.The Scottish Question considers how Scotland has retained its sense of self, and how the country has changed against a backdrop of fundamental changes in society, economy, and the role of the stateover the course of the union. The Scottish Question has been a shifting mix of linked issues and concerns including national identity; Scotland's constitutional status and structures of government; Scotland's distinctive party politics; and everyday public policy.In this volume, James Mitchell explores how these issues have interacted against a backdrop of these changes.He concludes that while the independence referendum may prove an important event, there can be no definitive answer to the Scottish Question. The Scottish Question offers a fresh interpretation of what has made Scotland distinctive and how this changed over time, drawing on an array of primary and secondary sources.It challenges a number of myths, including how radical Scottish politics has been, and suggests that an oppositional political culture was one of the most distinguishing features of Scottish politics in the twentieth century.A Scottish lobby, consisting of public and private bodies, became adept in making thecase for more resources from the Treasury without facing up to some of Scotland's most deep-rooted problems.
Over half a century ago, a leading commentator suggested that Scotland was very unusual in being a country which was, in some sense at least, a nation but in no sense a state.He asked whether something 'so anomalous' could continue to exist in the modern world.The Scottish Question considers how Scotland has retained its sense of self, and how the country has changed against a backdrop of fundamental changes in society, economy, and the role of the stateover the course of the union. The Scottish Question has been a shifting mix of linked issues and concerns including national identity; Scotland's constitutional status and structures of government; Scotland's distinctive party politics; and everyday public policy.In this volume, James Mitchell explores how these issues have interacted against a backdrop of these changes.He concludes that while the independence referendum may prove an important event, there can be no definitive answer to the Scottish Question. The Scottish Question offers a fresh interpretation of what has made Scotland distinctive and how this changed over time, drawing on an array of primary and secondary sources.It challenges a number of myths, including how radical Scottish politics has been, and suggests that an oppositional political culture was one of the most distinguishing features of Scottish politics in the twentieth century.A Scottish lobby, consisting of public and private bodies, became adept in making thecase for more resources from the Treasury without facing up to some of Scotland's most deep-rooted problems.
2
On Formally Undecidable Propositions of Principia Mathematica and Related Systems (2012)
EN NW EB
ISBN: 9780486158402 bzw. 0486158403, in Englisch, Dover Publications, neu, E-Book.
Lieferung aus: Niederlande, Direct beschikbaar.
bol.com.
In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt an... In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics. The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument. This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite. Productinformatie:Taal: Engels;Formaat: ePub met kopieerbeveiliging (DRM) van Adobe;Bestandsgrootte: 1.56 MB;Kopieerrechten: Het kopiëren van (delen van) de pagina's is niet toegestaan ;Printrechten: Het printen van de pagina's is niet toegestaan;Voorleesfunctie: De voorleesfunctie is uitgeschakeld;Geschikt voor: Alle e-readers te koop bij bol.com (of compatible met Adobe DRM). Telefoons/tablets met Google Android (1.6 of hoger) voorzien van bol.com boekenbol app. PC en Mac met Adobe reader software;ISBN10: 0486158403;ISBN13: 9780486158402; Engels | Ebook | 2012.
bol.com.
In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt an... In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics. The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument. This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite. Productinformatie:Taal: Engels;Formaat: ePub met kopieerbeveiliging (DRM) van Adobe;Bestandsgrootte: 1.56 MB;Kopieerrechten: Het kopiëren van (delen van) de pagina's is niet toegestaan ;Printrechten: Het printen van de pagina's is niet toegestaan;Voorleesfunctie: De voorleesfunctie is uitgeschakeld;Geschikt voor: Alle e-readers te koop bij bol.com (of compatible met Adobe DRM). Telefoons/tablets met Google Android (1.6 of hoger) voorzien van bol.com boekenbol app. PC en Mac met Adobe reader software;ISBN10: 0486158403;ISBN13: 9780486158402; Engels | Ebook | 2012.
3
On Formally Undecidable Propositions of Principia Mathematica and Related Systems
DE NW EB
ISBN: 9780486158402 bzw. 0486158403, in Deutsch, Dover Publications, Vereinigtes Königreich Großbritannien und Nordirland, neu, E-Book.
Lieferung aus: Schweiz, zzgl. Versandkosten, Sofort per Download lieferbar.
On Formally Undecidable Propositions of Principia Mathematica and Related Systems, In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.
On Formally Undecidable Propositions of Principia Mathematica and Related Systems, In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.
4
The Scottish Question
EN NW EB DL
ISBN: 9780191002366 bzw. 0191002364, in Englisch, OUP Oxford, neu, E-Book, elektronischer Download.
Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Despatched same working day before 3pm.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
5
On Formally Undecidable Propositions of Principia Mathematica and Related Systems
EN NW EB DL
ISBN: 9780486158402 bzw. 0486158403, in Englisch, Dover Publications, Vereinigtes Königreich Großbritannien und Nordirland, neu, E-Book, elektronischer Download.
Lieferung aus: Deutschland, zzgl. Versandkosten.
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