Principle conditioning

TL;DR

This paper explores the concept of conditioning in probability theory for non-simultaneously measurable events, proposing a new framework of conditional states as convex combinations of special states.

Contribution

It introduces a novel approach to define conditional states for non-measurable events using convex combinations, extending traditional probability conditioning.

Findings

Defines conditional states as convex combinations of special states

Addresses conditioning for non-simultaneously measurable events

Extends the theoretical framework of probability conditioning

Abstract

The definition of the conditional probability is very important in the theory of the probability. This definition is based on the fact, that random events can be simultaneously measurable. This paper deal with the problem of conditioning for such random events, which are not simultaneously measurable. This paper defines conditional states as convex combination of special states.