Abstract
Abstract The Introduction focuses on the history of philosophy and intersections between philosophy, common sense, natural science, and mathematics, exploring what it means to do philosophy well in practice. How do we confirm that the methods philosophers use are appropriate for answering their questions? How is philosophy related to science? From the ancient Greeks onwards, philosophy included the study of the natural world. Galileo and Newton were scientists, Descartes a mathematician. When natural science and mathematics grew apart and developed their distinct methodologies, why was philosophy not rendered obsolete? What can philosophical methods still do better than scientific and mathematical methods?
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