Article: In a famous paper of 1936 with Garrett Birkhoff, the first work ever to introduce quantum logics, von Neumann and Birkhoff first proved that quantum mechanics requires a propositional calculus substantially different from all classical logics and rigorously isolated a new algebraic structure for quantum logics. The concept of creating a propositional calculus for quantum logic was first outlined in a short section in von Neumann's 1932 work, but in 1936, the need for the new propositional calculus was demonstrated through several proofs. For example, photons cannot pass through two successive filters that are polarized perpendicularly (e.g., one horizontally and the other vertically), and therefore, a fortiori, it cannot pass if a third filter polarized diagonally is added to the other two, either before or after them in the succession, but if the third filter is added in between the other two, the photons will, indeed, pass through. This experimental fact is translatable into logic as the non-commutativity of conjunction . It was also demonstrated that the laws of distribution of classical logic,  and , are not valid for quantum theory.

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


Article: Following years of mistreatment, the Taínos began to adopt suicidal behaviors, with women aborting or killing their infants and men jumping from the cliffs or ingesting untreated cassava, a violent poison. Eventually, a Taíno Cacique named Enriquillo managed to hold out in the Baoruco Mountain Range for thirteen years, causing serious damage to the Spanish, Carib-held plantations and their Indian auxiliaries. Hearing of the seriousness of the revolt, Emperor Charles V (also King of Spain) sent captain Francisco Barrionuevo to negotiate a peace treaty with the ever-increasing number of rebels. Two months later, after consultation with the Audencia of Santo Domingo, Enriquillo was offered any part of the island to live in peace.

Question: What did Taínos women start doing to their infants?
Ans: aborting or killing


Article: Lemi Ponifasio is a director and choreographer who is prominent internationally with his dance Company MAU. Neil Ieremia's company Black Grace has also received international acclaim with tours to Europe and New York. Hip hop has had a significant impact on Samoan culture. According to Katerina Martina Teaiwa, PhD from the University of Hawaii at Manoa, "Hip hop culture in particular is popular amongst Samoan youth." Like very many other countries, hip hop music is popular. In addition, the integration of hip hop elements into Samoan tradition also "testifies to the transferability of the dance forms themselves," and to the "circuits through which people and all their embodied knowledge travel." Dance both in its traditional form and its more modern forms has remained a central cultural currency to Samoans, especially youths.

Question: What professor at the University in Hawaii at Manoa wrote about the relationships between hip hop, dance, and traditional Samoan culture?
Ans: Katerina Martina Teaiwa


Article: Following the Norman Conquest in 1066, Southampton became the major port of transit between the then capital of England, Winchester, and Normandy. Southampton Castle was built in the 12th century and by the 13th century Southampton had become a leading port, particularly involved in the import of French wine in exchange for English cloth and wool.

Question: During the 13th century, what did Southampton get in trade for English cloth and wool?
Ans:
French wine