Question: What properties determine dimension in lattice theory?
Answer: conserved by perspective mappings ("perspectivities") and ordered by inclusion

Question: Who wrote that "John von Neumann's brilliant mind blazed over lattice theory like a meteor?"
Answer: Garrett Birkhoff

Question: What type of axioms were used by von Neumann in his lattice work?
Answer: novel axioms

Question: How long was von Neumann's lattice theory paper?
Answer: 140 pages

Question: In what room did von Neumann often write at home?
Answer: living room writing-table

Question: Who established the framework for quantum mechanics?
Answer: Von Neumann

Question: What paper did von Neumann produce in 1932?
Answer: Mathematical Foundations of Quantum Mechanics

Question: What von Neumann work preceded the axiomatiztion of quatum mechanics?
Answer: axiomatization of set theory

Question: What are the physics of quantum mechanics?
Answer: mathematics of Hilbert spaces and linear operators acting on them

Question: What is the uncertainty principle?
Answer: determination of the position of a particle prevents the determination of its momentum and vice versa

Question: The physics of quantum mechanics included special cases for what work?
Answer: formulations of both Heisenberg and Schrödinger

Question: Von Neumann's abstract treatment allowed him to work on what foundational issue?
Answer: determinism versus non-determinism

Question: What was John Bell's argument?
Answer: proof contained a conceptual error and was therefore invalid

Question: What did Jeffrey Bub argue in 2010?
Answer: Bell had misconstrued von Neumann's proof

Question: Did von Neumann rule hidden variable theories?
Answer: von Neumann did not claim that his proof completely ruled out hidden variable theories

Question: What results came from von Neumann's deep analysis of the measurement problem?
Answer: physical universe could be made subject to the universal wave function

Question: What "outside of calculation" variable could initiate collapse in von Neumann's conclusion?
Answer: consciousness of the experimenter

Question: Were von Neumann's conclusions of collapse of entire universe cause accepted widely?
Answer: Von Neumann–Wigner interpretation never gained acceptance amongst the majority of physicists

Question: With whom did von Neuman work on a paper in 1936 that introduce quantum logic?
Answer: Garrett Birkhoff

Question: What concept was created for quatum logic?
Answer: propositional calculus

Question: What is the difference of logic in quantum theory?
Answer: laws of distribution of classical logic,  and , are not valid for quantum theory

Question: What year was game theory established?
Answer: 1928

Question: What discipline is game theory derived from?
Answer: mathematical discipline.

Question: what are the possible strategies in minimax theory?
Answer: a pair of strategies for both players that allows each to minimize his maximum losses

Question: What must a player consider when determining every possible strategy?
Answer: all the possible responses of his adversary.

Question: What is the difference of quantum disjunction from classic?
Answer: can be true even when both of the disjuncts are false

Question: What is frequently the case in quantum mechanics when a pair of alternatives are semantically determinate?
Answer: each of its members are necessarily indeterminate

Question: How can quantum disjuction be illustrated?
Answer: illustrated by a simple example

Question: What is optimal strategy?
Answer: minimize the maximum loss for each player

Question: What von Neumann work was published in 1944?
Answer: Theory of Games and Economic Behavior

Question: Who was co-author with von Neman on the Theory of Games and Economic Behavior?
Answer: Oskar Morgenstern

Question: How did von Neumann raise the level of economics?
Answer: several stunning publications

Question: What did von Neumann prove with his model of expanding economy?
Answer: uniqueness of an equilibrium using his generalization of the Brouwer fixed-point theorem

Question: What did von Neumann consider for his model of expanding economy?
Answer: matrix pencil  A − λB with nonnegative matrices A and B

Question: In von Neumann's model what does p represent?
Answer: p represents the prices of the goods

Question: In von Neumann's model what does q represent?
Answer: q represents the "intensity" at which the production process would run

Question: What is the rate of qrowth equal to?
Answer: rate of growth equals the interest rate

Question: Was the economic model successful?
Answer: proving that the growth rate equals the interest rate were remarkable achievements, even for von Neumann

Question: What were von Neumann's model an example of?
Answer: viewed as a special case of linear programming

Question: What was the significance of von Neumann's model of expanding economy?
Answer: unique in having made significant contributions to economic theory itself.

Question: What ideas were utilized in von Neumann's ecocomic model?
Answer: fixed-point theorems, linear inequalities, complementary slackness, and saddlepoint duality

Question: When did von Neumann's interest in economics begin?
Answer: When lecturing at Berlin in 1928 and 1929

Question: What economist did von Neumann get to know that spurred the interest in economics?
Answer: Nicholas Kaldor

Question: In who's book did von Neuman find errors in the author's equations?
Answer: Léon Walras

Question: What was the new method of linear programming that von Neumann suggested?
Answer: homogeneous linear system of Gordan

Question: What did von Neuman's method use?
Answer: pivoting algorithm between simplices

Question: What was von Neumann's method known to be the first of?
Answer: algorithm was the first interior point method of linear programming.

Question: When did von NEumann establish mean square ratio?
Answer: 1941

Question: How has mean square ratio been applied?
Answer: Durbin–Watson statistic

Question: what does null hypothesis test against?
Answer: alternative that they follow a stationary first order autoregression

Question: The algorithm defining artificial viscosity is a fundamental contribution to what area?
Answer: numerical hydrodynamics

Question: What did the math of artificial viscosity do?
Answer: smoothed the shock transition without sacrificing basic physics

Question: What was the problem of computers solving fluid dynamics?
Answer: they tried to put too many computational grid points at regions of sharp discontinuity (shock waves)

Question: What principal contribution did von Neumann make to atomic bomb?
Answer: concept and design of the explosive lenses needed to compress the plutonium core

Question: Did von Nemann think that the atomic bomb design was not workable?
Answer: he was one of its most persistent proponents, encouraging its continued development

Question: What additional ideas did von Neumann contribute to Atomic bomb?
Answer: more powerful shaped charges and less fissionable material to greatly increase the speed of "assembly"

Question: what change was made when shortage of uranium 235 was apparent?
Answer: implosive lens project was greatly expanded

Question: What was the tolerance limit for implosion "edge effect"?
Answer: not depart by more than 5% from spherical symmetry

Question: Who constructed Trinity bomb?
Answer: George Kistiakowsky

Question: In what year was Trinity bomb completed?
Answer: 1945

Question: What other people worked with von Neumann on target selection?
Answer: four other scientists and various military personnel

Question: What role did von Neuman play in the selection of targets?
Answer: oversaw computations

Question: What was von Neumann's first choice for target city?
Answer: Kyoto

Question: Who dismissed von Neuamann's primary target city?
Answer: Secretary of War Henry L. Stimson.

Question: On what day was the first atomic blast?
Answer: July 16, 1945