inductie

Inductie is a Dutch term that can refer to several related concepts in mathematics, physics, and organizational practice. Depending on the context, the core idea is deriving results by stepping from one case to another or by relating a current situation to a preceding one.

In mathematics, wiskundige inductie (mathematical induction) is a proof technique for statements about natural numbers. It rests on two steps: a base case showing the statement holds for an initial value, and an inductive step showing that if it holds for one value k, it also holds for k+1. Together these steps establish the claim for all natural numbers. A classic example is the formula for the sum 1 + 2 + ... + n = n(n+1)/2, which can be proven by induction.

In physics, inductie refers to electromagnetic induction, the generation of electric current in a conductor when the magnetic flux through the circuit changes. Faraday’s law expresses the induced emf as proportional to the rate of change of flux, and Lenz’s law states that the induced current opposes the change. This principle underpins electric generators, transformers, and various induction devices.

In human resources and organizational contexts, induction (inductie) describes the process of introducing a new employee to an organization, including orientation, training, safety briefings, and social integration. A well-designed induction aims to shorten onboarding time, clarify roles, and promote early productivity.

In logic and scientific reasoning, inductive reasoning draws general conclusions from specific observations. Induction provides probable knowledge and supports empirical methods, but it does not guarantee absolute truth.