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I am not a mathematician and I can't speak to the likelihood of a mathematical revolution, but as a programmer with interest in theoretical computer science and I found the HoTT book to be extremely useful. Prior to last year there were very few available and approachable resources for learning HoTT. Papers on the subject were hard to find and harder to understand for someone not in the field. Because of this, any textbook is a huge step forward for me even if it doesn't have mass appeal because it allows people who aren't directly researching HoTT to become familiar with the ideas and results and find further references to previous work. These people in turn can educate others who might be computationally or mathematically inclined and interested in the benefits of HoTT such as better interactive theorem proving, but don't have specific interest in type theory, category theory, or homotopy theory and therefore find existing resources difficult to understand.



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