The companion volume to 'Goddesses in Everywoman' reveals the powerful inner patterns, or archetypes, that shape men's personalities, careers, and personal relationships - offering a insights into Greek mythology, Jungian archetypal psychology, and into themselves and the people in their lives.
This is the New York Times bestselling debut novel by the author of the Folio Prize shortlisted The Flamethrowers. It is a New York Times bestseller. It is the finalist for the National Book Award in Fiction. Fidel and Raul Castro are in the hills, descending only to burn sugarcane plantations and recruit rebels. Rachel K is in Havana's Cabaret Tokio, entangled with a French agitator trying to escape his shameful past. Everly and K.C. are growing up in the dying days of a crumbling US colony, about to discover the cruelty and violence that have created their childhood idyll.
Sarah Agnes Prine begins her diary in 1881 when her father decides to move the whole family - and their horse ranch - from Arizona Territory to Texas, where life will be easier. Sarah, at seventeen, is a tomboy: though she longs to be educated, gracious and beautiful like other women. But when the family sets out on the wagon trail and disasters strike in rapid succession, Sarah turns out to be the only thing that keeps them from certain death. Sarah stays brave, strong and determined through everything that befalls her. But she longs to be loved, like any other woman, and she is to meet her destiny in Captain Jack Elliot.
In this book from the critically acclaimed, multimillion-copy bestselling Little People, BIG DREAMS series, discover the life of Alan Turing, the genius code cracker and father of theoretical computer science and artificial intelligence. Alan grew up in England, where his best friends were numbers and a little boy called Christopher. When his young friend died, Alan retreated to the world of numbers and codes, where he discovered how to crack the code of the Nazi Enigma machine.This moving book features stylish and quirky illustrations and extra facts at the back, including a biographical timeline with historical photos and a detailed profile of the brilliant mathematician's life. Little People, BIG DREAMS is a bestselling series of books and educational games that explore the lives of outstanding people, from designers and artists to scientists and activists. All of them achieved incredible things, yet each began life as a child with a dream.This empowering series offers inspiring messages to children of all ages, in a range of formats. The board books are told in simple sentences, perfect for reading aloud to babies and toddlers. The hardback versions present expanded stories for beginning readers.Boxed gift sets allow you to collect a selection of the books by theme. Paper dolls, learning cards, matching games and other fun learning tools provide even more ways to make the lives of these role models accessible to children. Inspire the next generation of outstanding people who will change the world with Little People, BIG DREAMS!
PART I. ELEMENTARY MATHEMATICAL LOGICCHAPTER I. THE PROPOSITIONAL CALCULUS 1. Linguistic considerations: formulas 2. "Model theory: truth tables,validity " 3. "Model theory: the substitution rule, a collection of valid formulas" 4. Model theory: implication and equivalence 5. Model theory: chains of equivalences 6. Model theory: duality 7. Model theory: valid consequence 8. Model theory: condensed truth tables 9. Proof theory: provability and deducibility 10. Proof theory: the deduction theorem 11. "Proof theory: consistency, introduction and elimination rules" 12. Proof theory: completeness 13. Proof theory: use of derived rules 14. Applications to ordinary language: analysis of arguments 15. Applications to ordinary language: incompletely stated arguments CHAPTER II. THE PREDICATE CALCULUS 16. "Linguistic considerations: formulas, free and bound occurrences of variables" 17. "Model theory: domains, validity" 18. Model theory: basic results on validity 19. Model theory: further results on validity 20. Model theory: valid consequence 21. Proof theory: provability and deducibility 22. Proof theory: the deduction theorem 23. "Proof theory: consistency, introduction and elimination rules" 24. "Proof theory: replacement, chains of equivalences" 25. "Proof theory: alterations of quantifiers, prenex form" 26. "Applications to ordinary language: sets, Aristotelian categorical forms" 27. Applications to ordinary language: more on translating words into symbolsCHAPTER III. THE PREDICATE CALCULUS WITH EQUALITY 28. "Functions, terms" 29. Equality 30. "Equality vs. equivalence, extensionality" 31. DescriptionsPART II. MATHEMATICAL LOGIC AND THE FOUNDATIONS OF MATHEMATICSCHAPTER IV. THE FOUNDATIONS OF MATHEMATICS 32. Countable sets 33. Cantor's diagonal method 34. Abstract sets 35. The paradoxes 36. Axiomatic thinking vs. intuitive thinking in mathematics 37. "Formal systems, metamathematics" 38. Formal number theory 39. Some other formal systemsCHAPTER V. COMPUTABILITY AND DECIDABILITY 40. Decision and computation procedures 41. "Turing machines, Church's thesis" 42. Church's theorem (via Turing machines) 43. Applications to formal number theory: undecidability (Church) and incompleteness (Gödel's theorem) 44. Applications to formal number theory: consistency proofs (Gödel's second theorem) 45. "Application to the predicate calculus (Church, Turing)" 46. "Degrees of unsolvability (Post), hierarchies (Kleene, Mostowski)." 47. Undecidability and incompleteness using only simple consistency (Rosser)CHAPTER VI. THE PREDICATE CALCULUS (ADDITIONAL TOPICS) 48. Gödel's completeness theorem: introduction 49. Gödel's completeness theorem: the basic discovery 50. "Gödel's completeness theorem with a Gentzen-type formal system, the Löwenheim-Skolem theorem" 51. Gödel's completeness theorem (with a Hilbert-type formal system) 52. "Gödel's completeness theorem, and the Löwenheim-Skolem theorem, in the predicate calculus with equality" 53. Skolen's paradox and nonstandard models of arithmetic 54. Gentzen's theorem 55. "Permutability, Herbrand's theorem" 56. Craig's interpolation theorem 57. "Beth's theorem on definability, Robinson's consistency theorem"BIBLIOGRAPHYTHEOREM AND LEMMA NUMBERS: PAGESLIST OF POSTULATESSYMBOLS AND NOTATIONSINDEX
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Suurepärane. See on iPhone 14 Plus. • Imeilusalt vastupidav lennukiklassi alumiinium • Erk Super Retina XDR ekraan • Valikus viis fantastilist värvi • Ceramic Shield on tugevam kui ükski teine nutitelefoni klaas • Purjetab läbi veepritsmete tänu veekindlusele
Suurepärane. See on iPhone 14 Plus. • Imeilusalt vastupidav lennukiklassi alumiinium • Erk Super Retina XDR ekraan • Valikus viis fantastilist värvi • Ceramic Shield on tugevam kui ükski teine nutitelefoni klaas • Purjetab läbi veepritsmete tänu veekindlusele
Suurepärane. See on iPhone 14 Plus. • Imeilusalt vastupidav lennukiklassi alumiinium • Erk Super Retina XDR ekraan • Valikus viis fantastilist värvi • Ceramic Shield on tugevam kui ükski teine nutitelefoni klaas • Purjetab läbi veepritsmete tänu veekindlusele
Suurepärane. See on iPhone 14 Plus. • Imeilusalt vastupidav lennukiklassi alumiinium • Erk Super Retina XDR ekraan • Valikus viis fantastilist värvi • Ceramic Shield on tugevam kui ükski teine nutitelefoni klaas • Purjetab läbi veepritsmete tänu veekindlusele
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