![]() ![]() Metamath is not tied to any particular set of axioms, instead, axioms are defined in a database.We believe that it provides about the simplest possible framework that allows essentially all of mathematics to be expressed with absolute rigor. The Metamath language is extremely simple, with an almost total absence of hard-wired syntax.Here are some distinctive traits of Metamath: Metamath is probably unlike anything you have encountered. Hopefully it willĪmuse you, amaze you, and possibly enlighten you in its own special way. Through Metamath you can see mathematics developed in completeĭetail from first principles, with absolute rigor, in a way We have databases for several axiomatic systems.Ĭertainty, and the elimination of human error. FilipĮnables you to state a collection of axioms (assumptions), theorems, and proofs List, open problems, other downloads, and miscellany. User-contributed proof verifiers, Metamath 100 ZFC axioms, connecting the two approaches. Starts with HOL (also called simple type theory) and derives equivalents to Over 23,000 proofs.ĭerives mathematics from a constructive point of view, starting fromĬonstructs mathematics from scratch, starting from Constructs mathematics from scratch, starting from Rigorously verifying, archiving, and presenting mathematical proofs. ![]() Metamath is a simple and flexible computer-processable language that supports ![]()
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