In class theories such as Von Neumann – Bernays – Gödel set theory and Morse – Kelley set theory, there is a possible axiom called the axiom of global choice which is stronger than the axiom of choice for sets because it also applies to proper classes.

Basic theories, such as arithmetic, real analysis and complex analysis are often introduced non-axiomatically, but implicitly or explicitly there is generally an assumption that the axioms being used are the axioms of Zermelo – Fraenkel set theory with choice, abbreviated ZFC, or some very similar system of axiomatic set theory like Von Neumann – Bernays – Gödel set theory, a conservative extension of ZFC.

Von Neumann wrote the first array-sorting program ( merge sort ) in 1945, during the building of the first stored-program computer .< sup > p.

Pfanzagl's axiomatization was endorsed by Oskar Morgenstern: " Von Neumann and I have anticipated " the question whether probabilities " might, perhaps more typically, be subjective and have stated specifically that in the latter case axioms could be found from which could derive the desired numerical utility together with a number for the probabilities ( cf.

Von Neumann machines differ in having a memory in which they store their operating instructions and data.

The modern computer, or Von Neumann machine, would play a central role in cognitive science, both as a metaphor for the mind, and as a tool for investigation.

Some argue that the concept of the collapse of a " real " wave function was introduced by Heisenberg and later developed by John Von Neumann in 1932.

Von Neumann himself used the term Universal Constructor.

As a serious proposal, it was first suggested by mathematician John Von Neumann in the late 1940s when he proposed a kinematic self-reproducing automaton model as a thought experiment.

See Von Neumann, J., 1966, The Theory of Self-reproducing Automata, A. Burks, ed., Univ.

The design could be modified to build Von Neumann probes to explore the galaxy.

The movie Screamers, based on Dick's short story Second Variety, features a group of robot weapons created by mankind to act as Von Neumann devices / berserkers.

In 1968, just before he published the first volume, Knuth accepted a job working on problems for the National Security Agency ( NSA ) through their FFRDC the Institute for Defense Analyses ( IDA ) Communications Research Division situated at the time on the Princeton campus in the Von Neumann building as stated in his cumulae vitae.

In work on Zermelo – Fraenkel set theory, the notion of class is informal, whereas other set theories, such as Von Neumann – Bernays – Gödel set theory, axiomatize the notion of " class ", e. g., as entities that are not members of another entity.

In September 2011 researchers also proved that a quantum computer can be made with a Von Neumann architecture ( separation of RAM ).

* Von Neumann machine

* Mathematics: Von Neumann universe

As far as computer security is concerned, reasoning about the security properties of a computer system requires being able to make sound assumptions about what it can, and more importantly, cannot do ; however, barring any reason to believe otherwise, a computer is able to do everything that a general Von Neumann machine can.

Von Neumann machine may refer to:.

* Von Neumann architecture, a conceptual model of a computer architecture

** Von Neumann probes, hypothetical space probes capable of self-replication

Von Neumann used 10 digit numbers, but the process was the same.

Von Neumann was aware of this, but he found the approach sufficient for his purposes, and was worried that mathematical " fixes " would simply hide errors rather than remove them.

Von Neumann judged hardware random number generators unsuitable, for, if they did not record the output generated, they could not later be tested for errors.

Both Von Neumann as well as various degrees of Harvard architectures are used.

This event became known as Von Bredow's Death Ride after the brigade commander Adalbert von Bredow ; it would be used in the following decades to argue that massed cavalry charges still had a place on the modern battlefield.

Von Neumann's original proof used Brouwer's fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathematical economics.

Von Harbou became a passionate member of the Nazi Party in 1933.

Von Sydow was raised as a Lutheran and later became an agnostic.

The Lamella system ( also known as the Von Roll system ) was developed by the Von Roll company after the rolled steel rails used in the Strub system became unavailable.

In 1958 AMBA's scientific and engineering staff, including Von Braun and Arthur Rudolph, were transferred to the newly created NASA, and the facilities on the southern half of Redstone Arsenal became Marshall Space Flight Center.

Von Tilzer became one of the best known Tin Pan Alley songwriters.

Jimmy Wallington became the show's announcer for most of its life with Allen as the feature ( he succeeded George Burns and Gracie Allen sidekick Harry Von Zell ), though for a brief spell during its second season the announcer was budding radio personality and future television legend Arthur Godfrey.

Von Däniken withdrew from school, and became apprenticed to a Swiss hotelier.

Von Papen remained under indictment on these charges until he became Chancellor of Germany in 1932, at which time the charges were dropped.

Von Below became upset, told Hartmann it was Hitler's and ordered him to put it back.

Richards became fascinated with history and discovered the time travel technology created by one of his ancestors, Victor Von Doom.

Von Braun was the NSI's first president, but shortly became chairman, with journalist and former ABC-TV 20 / 20 host Hugh Downs as president.

Von Renteln became a staff leader of the German Labor Front.

Almost by accident, she became a hero by defending the people of her city from Von Reichter's malevolent plans, often carried out by his cloned " son " José.

As a result of these multiple catastrophes, attendance in both Dallas and Fort Worth plummeted ; according to some former WCCW wrestlers, many fans became disillusioned with the Von Erichs as the supposedly " clean-living " brothers ' drug use became harder to cover up, and they frequently no-showed cards the promotion booked in smaller towns.

When it became clear that Von Beltz's personal injury lawsuit would exceed all available primary insurance coverage, the production's excess insurer, Interstate Fire ( a subsidiary of Hollywood's favorite insurer, Fireman's Fund Insurance Company ) sued Von Beltz and her employer, Stuntman Inc., for a declaratory judgment that Von Beltz's lawsuit was not covered under its policy.

Von Rosen's own flying career started as a mechanic and then pilot in a traveling aerial circus, where he became a skilled aerobatic pilot, which served him well later in life.

Many alumni became educators and itinerate clinicians caught up in the art of inspiring younger players ( Mike Vax, The Baron Jon Von Ohlen, Chuck Carter, and Richard Torres ).

The games featured several minor hits before they became popular such as " C ' mon C ' mon " by The Von Bondies which is also used as the theme song for the TV show Rescue Me.

Soon the band changed their individual stage names to suit their new direction: Nagash became " Lex Icon ", Blackheart became " Psy Coma ", and Hellhammer became " Von Blomberg ".