1.

Record Nr.

UNINA9910781464503321

Autore

Willink Joost

Titolo

The fateful journey : the expedition of Alexine Tinne and Theodor von Heuglin in Sudan (1863-1864) : a study of their travel accounts and ethnographic collections / / Robert Joost Willink [[electronic resource]]

Pubbl/distr/stampa

Amsterdam : , : Amsterdam University Press, 2011

ISBN

1-283-33448-8

9786613334480

90-485-1490-8

Descrizione fisica

1 online resource (455 pages) : digital, PDF file(s)

Disciplina

962.403

Soggetti

Travel / General

Sudan Discovery and exploration

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 22 Feb 2021).

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Frontmatter -- Contents -- Prologue -- Introduction -- Chapter 1. Sudan: the place for adventure, trade and science -- Chapter 2. The White Nile and Khartoum -- Chapter 3. Preparations for the journey -- Chapter 4. To the Bahr el-Ghazal -- Chapter 5. Beyond the Bahr el-Ghazal -- Chapter 6. The reversal of fortune -- Chapter 7. A pause in Cairo -- Chapter 8. After Cairo -- Epilogue -- Appendix 1. The White Nile excursion of the Tinne party -- Appendix 2. Khartoum in the summer of 1862 -- Appendix 3. Khartoum -- Appendix 4. Sudan -- Appendix 5. Letters A. Tinne from Khartoum and Berber -- Appendix 6. Tidings from Cairo -- Appendix 7. Petermann's maps of 1865 and 1869 -- Explanatory notes to the consulted sources -- Acknowledgements -- Source Notes -- Map of Egypt and Sudan -- Catalogue. ethnographic collections -- An account of the description of the Tinne-Heuglin collections 325 Notes Catalogue -- Bibliography -- Index -- Photo credits

Sommario/riassunto

Bold, headstrong, and fabulously wealthy, Dutch traveller Alexine Tinne (1834-1869) made several excursions into the African interior, often accompanied by her mother, at a time when very few European women traveled. 'The Fateful Journey' follows her trip with German zoologist



Theodor von Heuglin, which took them through Egypt and Sudan in search of adventure and unknown regions in Central Africa. Drawing upon four years of research in the Tinne archives, and including never before published correspondence, photographs, and other documents, Robert Joost Willink presents a compelling account of their journey and its tragic ending. This exciting volume not only sheds light on Tinne's life and times, it also offers captivating insights into the world of European adventurers in the 19th century. An enthralling mix of adventure and careful scholarship, 'The Fateful Journey' creates a powerful portrait of Alexine Tinne throughout her life, from her start as a rich heiress in the Netherlands to her end as the intrepid explorer who risked, and lost, everything on a daring, doomed quest.

2.

Record Nr.

UNINA9911007454503321

Autore

Halbeisen Lorenz J

Titolo

Combinatorial Set Theory : With a Gentle Introduction to Forcing / / by Lorenz J. Halbeisen

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025

ISBN

3-031-91752-9

Edizione

[3rd ed. 2025.]

Descrizione fisica

1 online resource (XVII, 616 p.)

Collana

Springer Monographs in Mathematics, , 2196-9922

Disciplina

511.3

Soggetti

Logic, Symbolic and mathematical

Set theory

Discrete mathematics

Mathematical Logic and Foundations

Set Theory

Discrete Mathematics

Teoria combinatòria de conjunts

Forcing (Teoria de models)

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Part I: Preliminary -- 1 The Setting -- 2 First-Order Logic in a Nutshell



-- 3 Axioms of Set Theory -- Part II: Topics in Combinatorial Set Theory -- 4 Overture: Ramsey's Theorem -- 5 Cardinal Relations in ZF Only -- 6 Forms of Choice -- 7 How to Make Two Balls from One -- 8 Models of Set Theory with Atoms -- 9 Thirteen Cardinals and Their Relations -- 10 The Shattering Number Revisited -- 11 Happy Families and Their Relatives -- 12 Coda: A Dual Form of Ramsey’s Theorem -- Part III: From Martin’s Axiom to Cohen’s Forcing -- 13 The Idea of Forcing -- 14 Martin's Axiom -- 15 The Notion of Forcing -- 16 Proving Unprovability -- 17 Models in Which AC Fails -- 18 Combining Forcing Notions -- 19 Models in Which p=c -- 20 Suslin’s Problem -- Part IV: Combinatorics of Forcing Extensions -- 21 Properties of Forcing Extensions -- 22 Cohen Forcing Revisited -- 23 Sacks Forcing -- 24 Silver-Like Forcing Notions -- 25 Miller Forcing -- 26 Mathias Forcing -- 27 Laver Forcing -- 28 How Many Ramsey Ultrafilters Exist? -- 29 Suite.

Sommario/riassunto

This book, now in a revised and extended third edition, provides a comprehensive and accessible introduction to modern axiomatic set theory. After an overview of basic notions in combinatorics and first-order logic, and discussing in great detail the axioms of set theory, the author outlines in the second part the main topics of classical set theory, including Ramsey theory and the axiom of choice. As an application of the axiom of choice, a complete proof of Robinson's construction for doubling a ball by dividing it into only five parts is given. For the new edition, the chapter on permutation models has been extended, and recent results in set theory without the axiom of choice and about cardinal characteristics have been added. The third part explains the sophisticated technique of forcing from scratch, now including more details about iterated forcing. The technique is then used to show that certain statements are neither provable nor disprovable from the axioms of set theory. In particular, it is shown that both Martin's Axiom and Suslin's Hypothesis are independent of the axioms of set theory. The final part, with a new chapter on Laver forcing, is mainly concerned with consistency results obtained by iterations of forcing notions such as Cohen forcing, Sacks forcing, and Mathias forcing. The part begins with an extended chapter on countable support iterations of proper forcing notions, now also including proofs of some preservation theorems such as preservation of properness and of certain ultrafilters. In the following chapters, various consistency results concerning possible relations between cardinal characteristics and the existence of Ramsey ultrafilters are presented. For example, a detailed proof of Shelah’s astonishing construction of a model with finitely many Ramsey ultrafilters is given. Written for graduate students in axiomatic set theory, Combinatorial Set Theory will appeal to all researchers interested in the foundations of mathematics. With extensive reference lists, historical remarks, and related results at the end of the chapters, this book is also suitable for self-study.