- Von Neumann paradox (Wikipedia)
In mathematics, the von Neumann paradox, named after John von Neumann, is the idea that one can break a planar figure such as the unit square into sets of points and subject each set to an area-preserving affine transformation such that the result is two planar figures of the same size as the original. This was proved in 1929 by John von Neumann, assuming the axiom of choice. It is based on the earlier Banach–Tarski paradox, which is in turn based on the Hausdorff paradox.
- Budapest (Wikipedia)
Budapest is the capital and most populous city of Hungary. It is the ninth-largest city in the European Union by population within city limits and it was the largest city on the Danube river; today it is the second largest one. The city has an estimated population of 1,752,286 over a land area of about 525 square kilometres (203 square miles). Budapest, which is both a city and municipality, forms the centre of the Budapest metropolitan area, which has an area of 7,626 square kilometres (2,944 square miles) and a population of 3,303,786. It is a primate city, constituting 33% of the population of Hungary.
- Oskar Morgenstern (Wikipedia)
Oskar Morgenstern (January 24, 1902 – July 26, 1977) was a German-born economist. In collaboration with mathematician John von Neumann, he founded the mathematical field of game theory as applied to the social sciences and strategic decision-making (see von Neumann–Morgenstern utility theorem).
- John “Johnny” von Neumann (/vɒn ˈnɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn ˈjaːnoʃ ˈlɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, engineer and polymath. He was regarded as having perhaps the widest coverage of any mathematician of his time and was said to be “the last representative of the great mathematicians who were equally at home in both pure and applied mathematics”. He integrated pure and applied sciences.
