Habituation and Novelty

Beginning in infancy and throughout the life span, humans are motivated by newness, change, and excitement. Habituation, the tendency to lose interest in a repeated event and gain interest in a new one, is one of the most fundamental human reflexes. If the thermostat were to suddenly turn the air conditioning on, you would hear the loud humming sound begin, but within minutes you couldn’t even hear it if you tried. Habituation, a fundamental property of the nervous system, provides mechanis...

 Ways of Being "Good at Math"

It’s a common misconception that someone who’s good at math is someone who can compute quickly and accurately. But mathematics is a broad discipline, and there are many ways to be smart in math. Some students are good at seeing relationships among numbers, quantities, or objects. Others may be creative problem solvers, able to come up with nonroutine ways to approach an unfamiliar problem. Still others may be good at visually representing relationships or problems or translating from one ...

 Ada Lovelace Describes the Analytical Engine

The distinctive characteristic of the Analytical Engine, and that which has rendered it possible to endow mechanism with such extensive faculties as bid fair to make this engine the executive right-hand of abstract algebra, is the introduction into it of the principle which Jacquard devised for regulating, by means of punched cards, the most complicated pattems in the fabrication of brocaded stuffs. It is in this that the distinction between the two engines lies. Nothing of the sort exists in...

 Mathematics as Magic

Who ... is not familiar with Maxwell's memoirs on his dynamical theory of gases? ... from one side enter the equations of state; from the other side, the equations of motion in a central field. Ever higher soars the chaos of formulae. Suddenly we hear, as from kettle drums, the four beats 'put n=5.' The evil spirit v vanishes; and ... that which had seemed insuperable has been overcome as if by a stroke of magic ... One result after another follows in quick succession till at last ... we arri...

 The Instinct to Command Others is the "Devil" of History

The instinct to command others, in its primitive essence, is a carnivorous, altogether bestial and savage instinct. Under the influence of the mental development of man, it takes on a somewhat more ideal form and becomes somewhat ennobled, presenting itself as the instrument of reason and the devoted servant of that abstraction, or political fiction, which is called the public good. But in its essence it remains just as baneful, and it becomes even more so when, with the application of scienc...