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The infinite / / A.W. Moore
The infinite / / A.W. Moore
Autore Moore A. W. <1956, >
Edizione [2nd ed.]
Pubbl/distr/stampa London ; ; New York : , : Routledge, , 2001
Descrizione fisica 1 online resource (293 p.)
Disciplina 111.6
Collana The problems of philosophy
Soggetto topico Infinite
Metaphysics
Soggetto genere / forma Electronic books.
ISBN 1-138-13389-2
0-585-46480-4
1-280-06999-6
1-134-91214-5
0-203-41588-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; The Infinite; Copyright; Contents; Preface to the Second Edition; Preface; Introduction: Paradoxes of the Infinite; 1 Paradoxes of the infinitely small; 2 Paradoxes of the infinitely big; 3 Paradoxes of the one and the many; 4 Paradoxes of thought about the infinite; Part One: The History; 1. Early Greek Thought; 1 Anaximander and to apeiron; 2 The Pythagoreans; 3 The Eleatics; 4 Plato; 5 Early Greek mathematics; 2. Aristotle; 1 Preliminaries; 2 The problem; 3 The solution: the potential infinite and the actual infinite; 4 Application of the solution; 5 A remaining difficulty
3. Medieval and Renaissance Thought1 The Greek legacy: reactions and developments; 2 Aquinas; 3 Later developments: the mathematically infinite; 4 Nicholas of Cusa. The end of the Renaissance; 4. The Calculus; 1 The fundamental principles of the calculus; 2 A brief history of the calculus; 3 Taking stock; 5. The Rationalists and the Empiricists; 1 The rationalists; 2 The empiricists; 6. Kant; 1 The background: an outline of Kant's philosophy; 2 The metaphysically infinite and the mathematically infinite; 3 The infinitude of the world. The antinomies; 4 The infinitude of reason
7. Post-Kantian Metaphysics of the Infinite1 Hegel; 2 Currents of thought in post-Hegelian metaphysics of the infinite I: the 'metaphysically big'; 3 Currents of thought in post-Hegelian metaphysics of the infinite II: the 'metaphysically small'; 4 Currents of thought in post-Hegelian metaphysics of the infinite III: the existentialists; 5 Nietzsche; 8. The Mathematics of the Infinite, and the Impact of Cantor; 1 Bolzano; 2 Turn-of-the-century work on the foundations of mathematics; 3 The main elements of Cantor's theory. Its early reception; 4 The theory of ordinals. The Burali-Forti paradox
5 Cantor's attitude to the paradoxes6 Later development: axiomatization; 9. Reactions; 1 Intuitionism; 2 Finitism; 3 Wittgenstein; 4 Current thought; Part Two: Infinity Assessed; 10. Transfinite Mathematics; 1 The iterative conception of a set. The paradox of the Set of all Sets; 2 Ordinals as sets; 3 Cardinals. Measuring infinite sets; 4 The continuum hypothesis; 5 Further thoughts on the infinite by addition and the infinite by division; 11. The Löwenheim-Skolem Theorem; 1 An introduction to the Löwenheim-Skolem theorem. Reactions and counter-reactions
2 The solution to Skolem's paradox. Scepticism and relativism3 Scepticism and relativism rebutted; 4 Meaning and understanding. The Löwenheim-Skolem theorem finally defused; 5 A lingering paradox; 12. Gödel's Theorem; 1 Introduction: the Euclidean paradigm; 2 A sketch of the proof of Gödel's theorem; 3 Hilbert's programme; 4 The human mind and computers; 5 Self-consciousness; 6 Meaning and understanding; 13. Saying and Showing; 1 The saying/showing distincton in the Tractatus; 2 The very idea of a saying/showing distinction; 3 Wittgenstein's early views on the infinite
4 The infinite and the ineffable
Record Nr. UNINA-9910451227903321
Moore A. W. <1956, >  
London ; ; New York : , : Routledge, , 2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The infinite / / A.W. Moore
The infinite / / A.W. Moore
Autore Moore A. W. <1956, >
Edizione [2nd ed.]
Pubbl/distr/stampa London ; ; New York : , : Routledge, , 2001
Descrizione fisica 1 online resource (293 p.)
Disciplina 111.6
Collana The problems of philosophy
Soggetto topico Infinite
Metaphysics
ISBN 1-138-13389-2
0-585-46480-4
1-280-06999-6
1-134-91214-5
0-203-41588-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; The Infinite; Copyright; Contents; Preface to the Second Edition; Preface; Introduction: Paradoxes of the Infinite; 1 Paradoxes of the infinitely small; 2 Paradoxes of the infinitely big; 3 Paradoxes of the one and the many; 4 Paradoxes of thought about the infinite; Part One: The History; 1. Early Greek Thought; 1 Anaximander and to apeiron; 2 The Pythagoreans; 3 The Eleatics; 4 Plato; 5 Early Greek mathematics; 2. Aristotle; 1 Preliminaries; 2 The problem; 3 The solution: the potential infinite and the actual infinite; 4 Application of the solution; 5 A remaining difficulty
3. Medieval and Renaissance Thought1 The Greek legacy: reactions and developments; 2 Aquinas; 3 Later developments: the mathematically infinite; 4 Nicholas of Cusa. The end of the Renaissance; 4. The Calculus; 1 The fundamental principles of the calculus; 2 A brief history of the calculus; 3 Taking stock; 5. The Rationalists and the Empiricists; 1 The rationalists; 2 The empiricists; 6. Kant; 1 The background: an outline of Kant's philosophy; 2 The metaphysically infinite and the mathematically infinite; 3 The infinitude of the world. The antinomies; 4 The infinitude of reason
7. Post-Kantian Metaphysics of the Infinite1 Hegel; 2 Currents of thought in post-Hegelian metaphysics of the infinite I: the 'metaphysically big'; 3 Currents of thought in post-Hegelian metaphysics of the infinite II: the 'metaphysically small'; 4 Currents of thought in post-Hegelian metaphysics of the infinite III: the existentialists; 5 Nietzsche; 8. The Mathematics of the Infinite, and the Impact of Cantor; 1 Bolzano; 2 Turn-of-the-century work on the foundations of mathematics; 3 The main elements of Cantor's theory. Its early reception; 4 The theory of ordinals. The Burali-Forti paradox
5 Cantor's attitude to the paradoxes6 Later development: axiomatization; 9. Reactions; 1 Intuitionism; 2 Finitism; 3 Wittgenstein; 4 Current thought; Part Two: Infinity Assessed; 10. Transfinite Mathematics; 1 The iterative conception of a set. The paradox of the Set of all Sets; 2 Ordinals as sets; 3 Cardinals. Measuring infinite sets; 4 The continuum hypothesis; 5 Further thoughts on the infinite by addition and the infinite by division; 11. The Löwenheim-Skolem Theorem; 1 An introduction to the Löwenheim-Skolem theorem. Reactions and counter-reactions
2 The solution to Skolem's paradox. Scepticism and relativism3 Scepticism and relativism rebutted; 4 Meaning and understanding. The Löwenheim-Skolem theorem finally defused; 5 A lingering paradox; 12. Gödel's Theorem; 1 Introduction: the Euclidean paradigm; 2 A sketch of the proof of Gödel's theorem; 3 Hilbert's programme; 4 The human mind and computers; 5 Self-consciousness; 6 Meaning and understanding; 13. Saying and Showing; 1 The saying/showing distincton in the Tractatus; 2 The very idea of a saying/showing distinction; 3 Wittgenstein's early views on the infinite
4 The infinite and the ineffable
Record Nr. UNINA-9910784077903321
Moore A. W. <1956, >  
London ; ; New York : , : Routledge, , 2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Noble in reason, infinite in faculty : themes and variations in Kant's moral and religious philosophy / / A.W. Moore
Noble in reason, infinite in faculty : themes and variations in Kant's moral and religious philosophy / / A.W. Moore
Autore Moore A. W. <1956, >
Pubbl/distr/stampa London ; ; New York : , : Routledge, , 2003
Descrizione fisica xx, 249 p
Disciplina 170/.92
Collana International library of philosophy
Soggetto topico Ethics, Modern - 18th century
Free will and determinism - History - 18th century
Religion - Philosophy - History - 18th century
Soggetto genere / forma Electronic books.
ISBN 1-280-07140-0
0-203-46009-X
1-134-61968-5
0-415-20822-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- First theme : morality -- First set of variations -- Second theme : freedom -- Second set of variations -- Third theme : religion -- Third set of variations.
Record Nr. UNINA-9910455709603321
Moore A. W. <1956, >  
London ; ; New York : , : Routledge, , 2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Noble in reason, infinite in faculty : themes and variations in Kant's moral and religious philosophy / / A.W. Moore
Noble in reason, infinite in faculty : themes and variations in Kant's moral and religious philosophy / / A.W. Moore
Autore Moore A. W. <1956, >
Pubbl/distr/stampa London ; ; New York : , : Routledge, , 2003
Descrizione fisica xx, 249 p
Disciplina 170/.92
Collana International library of philosophy
Soggetto topico Ethics, Modern - 18th century
Free will and determinism - History - 18th century
Religion - Philosophy - History - 18th century
ISBN 1-134-61967-7
1-280-07140-0
0-203-46009-X
1-134-61968-5
0-415-20822-X
Classificazione 08.38
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- First theme : morality -- First set of variations -- Second theme : freedom -- Second set of variations -- Third theme : religion -- Third set of variations.
Record Nr. UNINA-9910780117403321
Moore A. W. <1956, >  
London ; ; New York : , : Routledge, , 2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui