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Common knowledge (logic) Common knowledge is a special kind of knowledge for a group of agents. There is common knowledge of p in a group of agents G when all the agents in G know p, they all know that they know p, they all know that they all know that they know p, and so on ad infinitum. [1] It can be denoted as .
Traditionally, born in the purple [1] (sometimes "born to the purple") was a category of members of royal families born during the reign of their parent. This notion was later loosely expanded to include all children born of prominent or high-ranking parents. [2] The parents must be prominent at the time of the child's birth so that the child ...
Game theory offers two strategies for this game that rely on different principles: the expected utility principle and the strategic dominance principle. The problem is called a paradox because two analyses that both sound intuitively logical give conflicting answers to the question of what choice maximizes the player's payout.
Psychoanalysis is a constitutive element of critical theory. Adorno read Sigmund Freud's work early on, although, unlike Horkheimer, he never underwent analysis. He first read Freud while working on his initial (withdrawn) habilitation thesis, The Concept of the Unconscious in the Transcendental Theory of Mind (1927). In it Adorno argued that ...
Life and education Family background Von Neumann was born in Budapest, Kingdom of Hungary (then part of the Austro-Hungarian Empire), on December 28, 1903, to a wealthy, non-observant Jewish family. His birth name was Neumann János Lajos. In Hungarian, the family name comes first, and his given names are equivalent to John Louis in English. He was the eldest of three brothers; his two younger ...
Paradox. A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. [1] [2] It is a statement that, despite apparently valid reasoning from true or apparently true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion. [3] [4] A paradox usually involves ...
In probability theory, the birthday problem asks for the probability that, in a set of n randomly chosen people, at least two will share a birthday. The birthday paradox refers to the counterintuitive fact that only 23 people are needed for that probability to exceed 50%. The birthday paradox is a veridical paradox: it seems wrong at first ...
The Red Queen's hypothesis is a hypothesis in evolutionary biology proposed in 1973, that species must constantly adapt, evolve, and proliferate in order to survive while pitted against ever-evolving opposing species. The hypothesis was intended to explain the constant (age-independent) extinction probability as observed in the paleontological ...