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Conjectural history is a type of historiography isolated in the 1790s by Dugald Stewart, who termed it "theoretical or conjectural history," as prevalent in the historians and early social scientists of the Scottish Enlightenment. As Stewart saw it, such history makes space for speculation about causes of events, by postulating natural causes ...
Present-day Baja California of Mexico was misrepresented in early maps as an island.This example c. 1650. Restored. The first European explorers, flying the flags of Spain and of England, sailed along the coast of California from the early 16th century to the mid-18th century, but no European settlements were established.
Historical method is the collection of techniques and guidelines that historians use to research and write histories of the past. Secondary sources, primary sources and material evidence such as that derived from archaeology may all be drawn on, and the historian's skill lies in identifying these sources, evaluating their relative authority, and combining their testimony appropriately in order ...
Anderson's theorem (real analysis) Andreotti–Frankel theorem (algebraic geometry) Angle bisector theorem (Euclidean geometry) Ankeny–Artin–Chowla theorem (number theory) Anne's theorem ; Apéry's theorem (number theory) Apollonius's theorem (plane geometry) Appell–Humbert theorem (complex manifold) Arakelyan's theorem (complex analysis)
The 1562 map of the Americas, created by Spanish cartographer Diego Gutiérrez, which applied the name California for the first time.. California was the name given to a mythical island populated only by beautiful Amazon warriors, as depicted in Greek myths, using gold tools and weapons in the popular early 16th-century romance novel Las Sergas de Esplandián (The Adventures of Esplandián) by ...
It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The Pythagoreans are credited with the first proof of the Pythagorean theorem, [44] though the statement of the theorem has a long history, and with the proof of the existence of irrational numbers.
In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. [1] [2] [3] Some conjectures, such as the Riemann hypothesis or Fermat's conjecture (now a theorem, proven in 1995 by Andrew Wiles), have shaped much of mathematical history as new areas of mathematics are developed in order to ...
In proof by exhaustion, the conclusion is established by dividing it into a finite number of cases and proving each one separately. The number of cases sometimes can become very large. For example, the first proof of the four color theorem was a proof by exhaustion with 1,936 cases. This proof was controversial because the majority of the cases ...