"If Terry Pratchett wrote a book about mathematics, it would look uncannily like this" – quoted on the cover of "everything and more, a compact history of ‘infinite’", manages to pack more factual and conceptual mistakes than verbs. A remarkable achievement. 
Still, ‘everything and more’ is very good, and a welcome reminder of how did I read popular science above my academic preparation even when I did have some academic preparation.
The best lessons in this whole book:
  1. the same paradoxes have challenged the whole history of mathematics and philosophy that mathematicians are still grappling with in the 20th century – and so, by induction, in the 21st.
  2. a very good teacher is among the best things that can happen to you. This book is really more a tribute to the author’s teacher than anything else, and that grace flows on to readers.