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Known as Hilbert's program, it sought to provide an unshakable foundation for all of mathematics. Things seemed to be proceeding well until young Kurt G del stunned the world by proving that Hilbert's goals were unobtainable, that contradiction was part of the warp and weave of any mathematical system. Yet what at the time seemed to be a fatal blow to mathematical consistency now forms the basis of modern logic. G del's incompleteness theorems are often misunderstood to be a statement of the limits of mathematical reasoning, but in truth they strengthen mathematics, building it up to be more powerful than what had come before. In this third book in the Math Girls series, join Miruka and friends as they tackle the basics of modern logic, learning such topics as the Peano axioms, set theory, and diagonalization, leading up to an in-depth exploration of G del's famous theorems. 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It's famous, I continued, because it's so basic that anyone can grasp it, but it took centuries for mathematicians to prove it's true* * * With a note scratched in the margin of a book in the 1600s, Fermat put in action centuries of effort spent deciphering this enigmaIt would take 358 years and the formation of entirely new schools of mathematics to provide a conclusive solution to what is now recognized.  \u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52594010095889,"sku":"NLS9780983951339","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52740884234513,"sku":"NIN9780983951339","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780983951339.jpg?v=1761068679"},{"product_id":"math-girls-talk-about-equations-graphs-book-hiroshi-yuki-9781939326225","title":"Math Girls Talk about Equations \u0026 Graphs","description":"From the author of Math Girls comes an exciting new series for learning and reviewing important skills for taking on advanced mathematics  This first volume, Math Girls Talk About Equations and Graphs, develops topics such as using variables in equations, polynomials, setting up systems of equations, proportions and inverse proportions, the relation between equations and their graphs, parabolas, intersections, and tangent lines. These topics are introduced through conversations between the characters from Math Girls, offering a fun way to learn this serious content. Each chapter comes with review problems and answers, and an appendix gives more challenging, open-ended problems for learners wanting to push the limits of their understanding. This book is most suited to middle- or high-school students who have learned basic algebra, or older readers who want to brush up on forgotten math skills. This series came about through requests from readers who enjoyed the excitement of learning aspects of the Math Girls series, but found themselves unprepared to keep up with the mathematical content. We hope that the books in this series will help young mathematicians firm up vital math skills that will allow them to excel in more advanced studies.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52686754513169,"sku":"NLS9781939326225","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52757017821457,"sku":"NIN9781939326225","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781939326225.jpg?v=1762328792"}],"url":"https:\/\/www.worldofbooks.com\/en-ie\/collections\/author-books-by-hiroshi-yuki.oembed?page=3","provider":"World of Books ","version":"1.0","type":"link"}