Medieval renaissances in the context of "Renaissance of the 12th century"

Science is a systematic discipline that builds and organises knowledge in the form of testable hypotheses and predictions about the universe. Modern science is typically divided into two – or three – major branches: the natural sciences, which study the physical world, and the social sciences, which study individuals and societies. While referred to as the formal sciences, the study of logic, mathematics, and theoretical computer science are typically regarded as separate because they rely on deductive reasoning instead of the scientific method as their main methodology. Meanwhile, applied sciences are disciplines that use scientific knowledge for practical purposes, such as engineering and medicine.

The history of science spans the majority of the historical record, with the earliest identifiable predecessors to modern science dating to the Bronze Age in Egypt and Mesopotamia (c. 3000–1200 BCE). Their contributions to mathematics, astronomy, and medicine entered and shaped the Greek natural philosophy of classical antiquity and later medieval scholarship, whereby formal attempts were made to provide explanations of events in the physical world based on natural causes; while further advancements, including the introduction of the Hindu–Arabic numeral system, were made during the Golden Age of India and Islamic Golden Age. The recovery and assimilation of Greek works and Islamic inquiries into Western Europe during the Renaissance revived natural philosophy, which was later transformed by the Scientific Revolution that began in the 16th century as new ideas and discoveries departed from previous Greek conceptions and traditions. The scientific method soon played a greater role in the acquisition of knowledge, and in the 19th century, many of the institutional and professional features of science began to take shape, along with the changing of "natural philosophy" to "natural science".

The Carolingian Renaissance was the first of three medieval renaissances, a period of cultural activity in the Carolingian Empire. Charlemagne's reign led to an intellectual revival beginning in the 8th century and continuing throughout the 9th century, taking inspiration from ancient Roman and Greek culture and the Christian Roman Empire of the 4th century. The period saw an increase of literature, writing, visual arts, architecture, music, jurisprudence, liturgical reforms, and scriptural studies. Carolingian schools were effective centers of education, and they served generations of scholars by producing editions and copies of the classics, both Christian and pagan.

The movement occurred mostly during the reigns of Carolingian rulers Charlemagne and Louis the Pious. It was supported by the scholars of the court, notably Alcuin of York. Charlemagne's Admonitio generalis (789) and Epistola de litteris colendis served as manifestos. Alcuin wrote on subjects ranging from grammar and biblical exegesis to arithmetic and astronomy. He also collected rare books, which formed the nucleus of the library at York Cathedral. His enthusiasm for learning made him an effective teacher. Alcuin writes: