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Record Nr. |
UNINA9910780054903321 |
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Autore |
Grattan-Guinness I |
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Titolo |
The search for mathematical roots, 1870-1940 [[electronic resource] ] : logics, set theories and the foundations of mathematics from Cantor through Russell to Gödel / / I. Grattan-Guinness |
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Pubbl/distr/stampa |
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Princeton, N.J., : Princeton University Press, c2000 |
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ISBN |
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9786613017758 |
1-283-01775-X |
1-4008-2404-4 |
1-4008-1430-8 |
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Edizione |
[Course Book] |
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Descrizione fisica |
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1 online resource (705 p.) |
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Classificazione |
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Disciplina |
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Soggetti |
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Arithmetic - Foundations - History - 19th century |
Arithmetic - Foundations - History - 20th century |
Set theory - History - 19th century |
Set theory - History - 20th century |
Logic, Symbolic and mathematical - History - 19th century |
Logic, Symbolic and mathematical - History - 20th century |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. [594]-669) and index. |
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Nota di contenuto |
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Front matter -- CONTENTS -- CHAPTER 1. Explanations -- CHAPTER 2. Preludes: Algebraic Logic and Mathematical Analysis up to 1870 -- CHAPTER 3. Cantor: Mathematics as Mengenlehre -- CHAPTER 4. Parallel Processes in Set Theory, Logics and Axiomatics, 1870's-1900's -- CHAPTER 5. Peano: the Formulary of Mathematics -- CHAPTER 6. Russell's Way In: From Certainty to Paradoxes, 1895-1903 -- CHAPTER 7. Russell and Whitehead Seek the Principia Mathematica, 1903-1913 -- CHAPTER 8. The Influence and Place of Logicism, 1910-1930 -- CHAPTER 9. Postludes: Mathematical Logic and Logicism in the 1930's -- CHAPTER 10. The Fate of the Search -- CHAPTER 11. Transcription of Manuscripts -- BIBLIOGRAPHY -- INDEX |
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Sommario/riassunto |
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While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the |
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first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). ? This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930's immigration of Carnap and GödeI. Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians, and philosophers--especially those interested in the historical interaction between these disciplines--this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since. |
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2. |
Record Nr. |
UNINA9911040909703321 |
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Autore |
Vaschetto Luis M |
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Titolo |
Transposable Elements, Transcriptomics, and Diseases / / edited by Luis M. Vaschetto |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
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ISBN |
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Edizione |
[1st ed. 2025.] |
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Descrizione fisica |
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1 online resource (631 pages) |
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Collana |
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Epigenetics and Human Health, , 2191-2270 ; ; 14 |
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Disciplina |
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Soggetti |
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Epigenetics |
Medical genetics |
Cytology |
Diseases |
Medical Genetics |
Mechanisms of Disease |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Chapter 1. Transposable Elements and Genome Evolution in Vertebrates -- Chapter 2. Transposable Elements and Gene Duplication -- Chapter 3. Transposable Elements and their Roles in Genome Architecture -- Chapter 4. Epigenetic Control of Transposable Elements -- Chapter 5. Transposable Element-Derived Non-coding RNAs -- Chapter 6. Transposable Elements: The Role of the piRNA Pathway -- Chapter 7. The Role of Transposable Elements in Development -- Chapter 8. The Impact of Transposable Elements on Immune Pathways -- Chapter 9. Transposable Elements and Hereditary Diseases -- Chapter 10. Transposable Elements in Cancer -- Chapter 11. Transposable Elements as Drivers of Age-Related Neurodegenerative Disease -- Chapter 12. Retrotransposons: Silent Architects of Vascular Aging and Disease -- Chapter 13. The Role of Transposable Elements in Therapeutics. |
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Sommario/riassunto |
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Transposable elements (TEs) are mobile DNA sequences once referred to as "selfish DNA". While they have contributed significantly to genome evolution, their movement can often disrupt genes and lead to disease. To counteract this, organisms have developed post-transcriptional, |
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transcriptional, and epigenetic mechanisms to control TE activity. This book explores the complex interplay between mobile genetic elements and human health, providing a comprehensive overview of TE biology, their modes of action, and the strategies employed to suppress their movement, and offering valuable insights into potential therapeutic interventions targeting TE-related diseases. In particular, the book reviews how TEs affect gene expression and contribute to diseases such as cancer, neurodegenerative diseases, and inherited disorders. Other topics include TE polymorphisms, epigenetic control, co-opted functions, non-coding RNAs, and their roles in environmental stress and immune pathways. Providing a comprehensive reference on the subject, this book is intended for researchers and advanced students in genetics and related disciplines. . |
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