How does certainty enter into the mind?

TL;DR

This paper explores how certainty arises in the mind through a new observation system that uses regions to handle infinities, linking mathematical concepts to decision-making and the collapse of mental states.

Contribution

It introduces a novel observation system substituting regions for infinitesimals, providing a framework for understanding certainty and decision-making in the mind.

Findings

Infinities in physics and math are linked to decision difficulties.

A region-based observation system offers a consistent mental model.

Wave function collapse is modeled as a classification process.

Abstract

Any problem is concerned with the mind, but what do minds make a decision on? Here we show that there are three conditions for the mind to make a certain answer. We found that some difficulties in physics and mathematics are in fact introduced by infinity, which can not be rightly expressed by minds. Based on this point, we suggest a general observation system, where we use region (a type of infinity) to substitute for infinitesimal (another type of infinity) and thus get a consistent image with the mind. Furthermore, we declare that without world pictures we can never have ideas to any expressive events, which is the primary condition for a wave function like mind to collapse to a series of numbers. A following observation by expanding algorithm brings the final collapse: classifying the numbers and coming up with a certain yes or no answer.