In 1600, the Catholic Inquisition condemned the philosopher and cosmologist Giordano Bruno for heresy, and he was then burned alive in the Campo de’ Fiori in Rome. Historians, scientists, and philosophical scholars have traditionally held that Bruno’s theological beliefs led to his execution, denying any link between his study of the nature of the universe and his trial. But in Burned Alive, Alberto A. Martínez draws on new evidence to claim that Bruno’s cosmological beliefs—that the stars are suns surrounded by planetary worlds like our own, and that the Earth moves because it has a soul—were indeed the primary factor in his condemnation.

Linking Bruno’s trial to later confrontations between the Inquisition and Galileo in 1616 and 1633, Martínez shows how some of the same Inquisitors who judged Bruno challenged Galileo. In particular, one clergyman who authored the most critical reports used by the Inquisition to condemn Galileo in 1633 immediately thereafter wrote an unpublished manuscript in which he denounced Galileo and other followers of Copernicus for their beliefs about the universe: that many worlds exist and that the Earth moves because it has a soul. Challenging the accepted history of astronomy to reveal Bruno as a true innovator whose contributions to the science predate those of Galileo, this book shows that is was cosmology, not theology, that led Bruno to his death.

In this follow-up to his popular Science Secrets, Alberto A. Martínez discusses various popular myths from the history of mathematics: that Pythagoras proved the hypotenuse theorem, that Archimedes figured out how to test the purity of a gold crown while he was in a bathtub, that the Golden Ratio is in nature and ancient architecture, that the young Galois created group theory the night before the pistol duel that killed him, and more. Some stories are partly true, others are entirely false, but all show the power of invention in history. Pythagoras emerges as a symbol of the urge to conjecture and “fill in the gaps” of history. He has been credited with fundamental discoveries in mathematics and the sciences, yet there is nearly no evidence that he really contributed anything to such fields at all. This book asks: how does history change when we subtract the many small exaggerations and interpolations that writers have added for over two thousand years?

The Cult of Pythagoras is also about invention in a positive sense. Most people view mathematical breakthroughs as “discoveries” rather than invention or creativity, believing that mathematics describes a realm of eternal ideas. But mathematicians have disagreed about what is possible and impossible, about what counts as a proof, and even about the results of certain operations. Was there ever invention in the history of concepts such as zero, negative numbers, imaginary numbers, quaternions, infinity, and infinitesimals?

Martínez inspects a wealth of primary sources, in several languages, over a span of many centuries. By exploring disagreements and ambiguities in the history of the elements of mathematics, The Cult of Pythagoras dispels myths that obscure the actual origins of mathematical concepts. Martínez argues that an accurate history that analyzes myths reveals neglected aspects of mathematics that can encourage creativity in students and mathematicians.

Was Darwin really inspired by Galápagos finches? Did Einstein’s wife secretly contribute to his theories? Did Franklin fly a kite in a thunderstorm? Did a falling apple lead Newton to universal gravity?  Did Galileo drop objects from the Leaning Tower of Pisa? Did Einstein really believe in God?
       Science Secrets answers these questions and many others. It is a unique study of how myths evolve in the history of science. Some tales are partly true, others are mostly false, yet all illuminate the tension between the need to fairly describe the past and the natural desire to fill in the blanks.
      Energetically narrated, Science Secrets pits famous myths against extensive research from primary sources in order to accurately portray important episodes in the sciences. Alberto A. Martínez analyzes how such myths grow and rescues neglected facts that are more captivating than famous fictions. Moreover, he shows why opinions that were once secret and seemingly impossible are now scientifically compelling. The book includes new findings related to the Copernican revolution, alchemy, Pythagoras, young Einstein, and other events and figures in the history of science.