law of numbers

The "law of numbers" in philosophy, particularly as explored by Pythagoras, posits that "all things are numbers". This means the fundamental essence and structure of reality can be understood through numerical relationships. This idea emerged independently and later influenced thinkers like Plato.1

In statistics, the law of large numbers, first proved by Jakob Bernoulli, states that as the number of trials in a random event increases, the average outcome will approach the theoretical mean. This provides a formal structure for inferring probabilities from observed data.23

Philosophically, the nature of numbers themselves has been debated, with views ranging from abstract objects to logical constructs. Some theories, like physicalism, suggest mathematics describes concrete physical objects.45