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Liberalism is one of the most central and pervasive political theories and ideologies, yet it is subject to different interpretations as well as misappropriations. Its history carries a crucial heritage of civilized thinking, of political practice, and of philosophical-ethical creativity. This Very Short Introduction unpacks the concept of liberalism and its various interpretations through three diverse approaches. Looking at its historical and
...The variety of the mycological world is far greater than most people imagine. Tens of thousands of fungal species have been described and many more are known only from the abundance of their genes in soil and water. Fungi are hugely important as agents of wood decay in forests, and, as parasites, they have caused the deaths of millions of people by ravaging crops and reshaping natural ecosystems. Fungi perform a variety of essential functions in
...How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting mainly of the study of permutations and combinations,
...Physics, the fundamental science of matter and energy, encompasses all levels of nature from the subatomic to the cosmic, and underlies much of the technology around us. Understanding the physics of our universe is an essential aspect of humanity's quest to understand our environment and our place within it. Doing physics enables us to explore the interaction between environment and human society, and can help us to work towards the future sustainability
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