Today, the scientific community comprehensively accepts the viewpoint of interpreting micro phenomena by probability. Here, we argue that probability is not the instinct of reality but merely caused by how the micro phenomena are measured by us. By tracing back to the very beginning, today’s cognition originates from an interpreting difficulty when we try to measure micro phenomena: we cannot simultaneously measure the conjunctive properties of micro phenomena. Logically speaking, there are two possible causes that can lead to this consequence, which are not only the relation between conjunctive properties, but also whether we could really measure them ‘simultaneously’. If the reason is attributed to the former possible cause, we would inevitably follow the path of Heisenberg’s uncertainty relation and build the current quantum mechanical system. In this paper, we instead focus on the latter possible cause and find that although the current time measure precision seems to be quite high, it leads to various ‘irrational’ measure results on micro phenomena.