In 1945 Alonzo Church issued a pair of referee reports in which he anonymously conveyed to Frederic Fitch a surprising proof showing that wherever there is (empirical) ignorance there is also logically unknowable truth. Fitch published this and a generalization of the result in 1963. Ever since, philosophers have been attempting to understand the significance and address the counter-intuitiveness of this, the so-called paradox of knowability.
This collection assembles Church's referee reports, Fitch's 1963 paper, and nineteen new papers on the knowability paradox. The contributors include logicians and philosophers from three continents, many of whom have already made important contributions to the discussion of the problem. The volume contains a general introduction to the paradox and the background literature, and is divided into seven sections that roughly mark the central points of debate. The sections include the history of the paradox, Michael Dummett's constructivism, issues of paraconsistency, developments of modal and temporal logics, Cartesian restricted theories of truth, modal and mathematical fictionalism, and reconsiderations about how, and whether, we ought to construe an anti-realist theory of truth.

Has maths ever made you feel anxious, confused or like you just don't get it? This is an entertaining collection of mathematical games and curiosities for you to astound your family and friends with. You don't have to follow the chapters in a certain order - you can use this book however you would like, whether you want to get creative, play a game or impress your friends with a clever trick. Designed to spark a child's enthusiasm for maths and make learning simple, this book will help children to grasp the fundamental concepts in maths through exploration and play. This book will appeal to all learning styles and abilities but is particularly relevant for those with specific learning difficulties such as dyscalculia. Building self-esteem and promoting a growth mindset, these activities will help readers to effortlessly develop their number skills, empowering even the least confident learner with a deeper understanding of maths.

Dyslexic learner and teacher Alais Winton shows the positives of being dyslexic, and makes learning (and even spelling!) fun, with games and activities to make school learning simple. An inventive and practical book for children aged 7 to 13 who have been identified as having dyslexic tendencies, this book contains practical and creative activities for kids and teens to use, such as Spelling Sculptures and Hear it, Sing it, Beat it! The games and activities use the four different learning styles that work best with dyslexics - thinking in pictures, in movement, in music or socially. With funny cartoons, which appeal to visual thinkers, and a section with advice on how parents and guardians can aid learning, this is an essential toolkit for any dyslexic child.

Experience day-to-day life for a dyslexic kid, including school life, bullying and coping with tests and homework, in this frank and funny diary. Co-authored with a teenage boy with dyslexia and illustrated with cartoons, this is a positive yet honest look at the difficulties of being dyslexic. Using a simple and relatable approach, the authors display the ups and downs of school - and home - life with a reading difficulty, focussing on the sometimes overwhelming experience of being at a bigger school and studying loads of new subjects. Providing tips for what really helps and works based on real-life experience, this fun, accessible book shows teens and tweens with dyslexia that they are far from alone in their experiences.

Dyscalculia is a learning difference affecting the ability to process numbers. This illustrated guide provides children aged 7+ with the tools and confidence to understand the condition, discover helpful techniques, and seek additional support. It guides parents and teachers on how to help at home and at school, and includes an extensive resource list.