Have science and religion been fundamentally at war throughout history? Are they incompatible? Has religion always held back scientific progress? These views may seem intuitive but few historians would defend them. Professor Peter Harrison looks at the complexity of science-religion interactions, including the cases of Galileo and Darwin, and considers how we frame the debate.

Today, we think of scientists and philosophers as distinct, but it wasn’t always this way. Back when the Royal Society was founded in the 1660s, figures like Newton, Descartes and Boyle all thought of themselves as ‘natural philosophers’. Justin E. H. Smith, professor of philosophy at the Université de Paris, introduces us to what he sees as the real history of philosophy.

Why should we be interested in the history of mathematics? Mathematics, like painting, music, literature, has a long history, says Robin Wilson. Indeed, it’s longer than most, since the first writing is believed to be numerical. Mathematics is also multicultural, with its historical origins in Africa, the Middle East and Asia.

The astronomy professor says the process of scientific discovery can be slow and messy – but that reading about some of the extraordinary personalities involved brings the history alive

Modern science emerged only when it became acceptable to ask any question about anything – and that required erosion of traditional hierarchies, says the science writer