What happens when machines become more intelligent than humans? One view is that this event will be followed by an explosion to evergreater levels of intelligence, as each generation of machines creates more intelligent machines in turn. This intelligence explosion is now often known as the ‘singularity’. The basic argument here was set out by the statistician I.J. Good in his 1965 article ‘Spe...

We provide a very general result that identifies the essential spectrum of broad classes of operators as exactly equal to the closure of the union of the spectra of suitable limits at infinity. Included is a new result on the essential spectra when potentials are asymptotic to isospectral tori. We also recover with a unified framework the HVZ theorem and Krein’s results on orthogonal polynomial...

We prove a HVZ theorem for a general class of no-pair Hamiltonians describing an atom or positively charged ion with several electrons in the presence of a classical external magnetic field. Moreover, we show that there exist infinitely many eigenvalues below the essential spectrum and that the corresponding eigenfunctions are exponentially localized. The novelty is that the electrostatic and m...

How do individuals who switch between opposing sides develop a sense of commitment to their new groups? Study 1 examined these dynamics in a live-action tag game known as Humans versus Zombies, in which players transitioned from being Human to being Zombie, thus turning against their former fellow Humans. Study 2 examined data from professional basketball players in the NBA who moved to a new t...

Joint activities are ubiquitous in the animal kingdom, but they differ substantially in their underlying psychological states. Humans attribute and share mental states with others in the so-called shared intentionality. Our hypothesis is that our closest nonhuman living relatives also attribute some psychological mechanisms such as perceptions and goals to others, but, unlike humans, they are n...

Emotive virtual agents are seen to be a valuable tool in various research domains, including human studies, training, entertainment, and medicine. However, systems that primarily focus on social-emotional agents are largely domain-focused, or require ample customization to make them usable. The importance of agents that display social emotions and behaviors is underscored by the use of social s...

Humans attend to social cues in order to understand and predict others’ behavior. Facial expressions and gaze direction provide valuable information to infer others’mental states and intentions. The present study examined the mechanism of gaze following in the context of participants’ expectations about successive action steps of an observed actor. We embedded a gaze-cueing manipulation within ...

We consider the future dynamics of a transient phantom dominated phase of the universe in LQC and in the RS braneworld, which both have a non-standard Friedmann equation. We find that for a certain class of potentials, the Hubble parameter oscillates with simple harmonic motion in the LQC case and therefore avoids any future singularity. For more general potentials we find that damping effects ...

One reason why firms exist, this paper argues, is because they are suitable organizations within which cooperative production systems based on human social predispositions can evolve. In addition, we show how an entrepreneur, given these predispositions, can shape human behavior within a firm. To illustrate these processes, we will present a model that depicts how the biased transmission of cul...

An enhanced binding of an N -particle system interacting through a scalar bose field is investigated, where N ≥ 2. It is not assumed that this system has a ground state for a zero coupling. It is shown, however, that there exists a ground state for a sufficiently large values of coupling constants. When the coupling constant is sufficiently large, N particles are bound to each other by the scal...