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Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras , and with the construction of spaces which are locally presented by noncommutative algebras of functions (possibly in some generalized sense).
Noncommutative geometry
Zermelo–Fraenkel set theory
In mathematics, Zermelo–Fraenkel set theory with the axiom of choice , named after mathematicians Ernst Zermelo and Abraham Fraenkel and commonly abbreviated ZFC , is one of several axiomatic systems that were proposed in the early twentieth century to formulate a theory of sets without the paradoxes of naive set theory such as Russell's paradox .Russell's paradox
In the foundations of mathematics , Russell's paradox (also known as Russell's antinomy ), discovered by Bertrand Russell in 1901, showed that the naive set theory created by Georg Cantor leads to a contradiction.Naive set theory is one of several theories of sets used in the discussion of the foundations of mathematics . [ 1 ] Unlike axiomatic set theories, which are defined using a formal logic, naive set theory is defined informally, in natural language. It describes the aspects of mathematical sets familiar in discrete mathematics (for example Venn diagrams and symbolic reasoning about their Boolean algebra ), and suffices for the everyday usage of set theory concepts in contemporary mathematics.
Naive set theory
In mathematics , twistor space is the complex vector space of solutions of the twistor equation .
Twistor space
Roger Penrose
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MrCreepyPasta
Mayo v. Prometheus: Natural Process + Known Elements = Normally No Patent
by Dennis Crouch Mayo Collaborative Services v. Prometheus Labs., Inc.2012 March 12 - The Scale of the Universe Interactive
Discover the cosmos! Each day a different image or photograph of our fascinating universe is featured, along with a brief explanation written by a professional astronomer. 2012 March 12T he Bible tells us that God created Adam and Eve just a few thousand years ago, by some fundamentalist interpretations. Science informs us that this is mere fiction and that man is a few million years old, and that civilization just tens of thousands of years old.

