Comparative Analysis

Measure the semantic "distance" between two concepts to reveal their hidden relationships.

Core Principle: The algorithm of opposition: Two opposing ideas are not a conflict to be won, but a tension to be held and transcended.

Cognitive Architecture: The relationship between two concepts can be understood as the angle between their vectors, measured with cosine similarity. cos(u, v)

Comparison Tool

Enter two concepts to measure their semantic relationship.

Mathematical Summation

The core logic of relational measurement.

Concept Definition

Each concept is first defined as a vector (u and v) in a high-dimensional space using Dimensional Analysis.

Concept A -> u, Concept B -> v

Relational Measurement

The cosine similarity is calculated to measure the angle between the two vectors. A score of 1 means they are identical, 0 means they are unrelated (orthogonal), and -1 means they are opposites.

cos(u, v) = (u ⋅ v) / (||u|| ⋅ ||v||)