quadrivium—mathematics, including astronomy. Hence, the medieval analogs of scientists were often either philosophers or mathematicians. Knowledge of plants and animals was broadly the province of physicians. Middle Ages Science in medieval Islam generated some new modes of developing natural knowledge, although still within the bounds of existing social roles such as philosopher and mathematician. Many proto-scientists from the Islamic Golden Age are considered polymaths, in part because of the lack of anything corresponding to modern scientific disciplines. Many of these early polymaths were also religious priests and theologians: for example, Alhazen and al-Biruni were mutakallimiin; the physician Avicenna was a hafiz; the physician Ibn al-Nafis was a hafiz, muhaddith and ulema; the botanist Otto Brunfels was a theologian and historian of Protestantism; the astronomer and physician Nicolaus Copernicus was a priest. During the Italian Renaissance scientists like Leonardo da Vinci, Michelangelo, Galileo Galilei and Gerolamo Cardano have been considered as the most recognizable polymaths. Renaissance During the Renaissance, Italians made substantial contributions in science. Leonardo da Vinci made significant discoveries in paleontology and anatomy. The Father of modern Science, Galileo Galilei, made key improvements on the thermometer and telescope which allowed him to observe and clearly describe the solar system. Descartes was not only a pioneer of analytic geometry but formulated a theory of mechanics and advanced ideas about the origins of animal movement and perception. Vision interested the physicists Young and Helmholtz, who also studied optics, hearing and music. Newton extended Descartes's mathematics by inventing calculus (at the same time as Leibniz). He provided a comprehensive formulation of classical mechanics and investigated light and optics. Fourier founded a new branch of mathematics — infinite, periodic series — studied heat flow and infrared radiation, and discovered the greenhouse effect. Girolamo Cardano, Blaise Pascal Pierre de Fermat, Von Neumann, Turing, Khinchin, Markov and Wiener, all mathematicians, made major contributions to science and probability theory, including the ideas behind computers, and some of the foundations of statistical mechanics and quantum mechanics. Many mathematically inclined scientists, including Galileo, were also musicians. There are many compelling stories in medicine and biology, such as the development of ideas about the circulation of blood from Galen to Harvey. Some scholars and historians attributes Christianity to having contributed to the rise of the Scientific Revolution. Age of Enlightenment During the age of Enlightenment, Luigi Galvani, the pioneer of the bioelectromagnetics, discovered the animal electricity. He discovered that