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In mathematics, ideas are supposedly not accepted as fact until they have been rigorously proved. However, there have been some ideas that were fairly accepted in the past but which were subsequently shown to be false. The following list is meant to serve as a repository for compiling a list of such ideas.
Wikiquote is one of few online quotation collections that provides the opportunity for visitors to contribute [6] and the very few which strive to provide exact sources for each quotation as well as corrections of misattributed quotations. Wikiquote pages are cross-linked to articles about the notable personalities on Wikipedia.
Many mathematics journals ask authors of research papers and expository articles to list subject codes from the Mathematics Subject Classification in their papers. The subject codes so listed are used by the two major reviewing databases, Mathematical Reviews and Zentralblatt MATH .
Rigor is a cornerstone quality of mathematics, and can play an important role in preventing mathematics from degenerating into fallacies. well-behaved An object is well-behaved (in contrast with being Pathological ) if it satisfies certain prevailing regularity properties, or if it conforms to mathematical intuition (even though intuition can ...
The last words attributed to Archimedes (paraphrased from Valerius Maximus' Memorable Doings and Sayings). During the raid of Syracuse by the Romans, Archimedes was busy drawing mathematical circles. He was eventually attacked and killed by a Roman soldier as he was too engrossed in thought to obey the soldier's orders.
List of mathematical series; List of set identities and relations; List of alternative set theories; List of set theory topics; List of types of sets; List of shapes with known packing constant; List of solids derived from the sphere; List of mathematical spaces; List of spherical symmetry groups; List of textbooks in thermodynamics and ...
AMS: Mathematics Books Online — a small collection of online books; EMIS ELibM: Links to Mathematical Monographs and Lecture Notes — links to other resources; Alex Stefanov's list of textbooks, lecture notes and tutorials in mathematics — a comprehensive list of free books of mathematics, organised by subject; includes the AMS books
This is a list of axioms as that term is understood in mathematics. In epistemology , the word axiom is understood differently; see axiom and self-evidence . Individual axioms are almost always part of a larger axiomatic system .