| _version_ | 1866902120453636096 |
|---|---|
| author | Balais, Mihai |
| author_facet | Balais, Mihai |
| contents | <p>This paper introduces a mathematical and philosophical framework for understanding <strong>intelligence as surprise</strong>. It defines the value of intelligence (<em>mi</em>) as the capacity of a system to transcend its own limitations through tension between <strong>local subjectivity</strong> (<em>fl</em>, flavor) and <strong>collective rational alignment</strong> (<em>ra</em>). The model is bounded by the relation <em>fl + ra = 1</em> and develops expressions for:</p> <ul> <li> <p><strong>Potential surprise</strong>: the symmetric product of <em>fl</em> and <em>ra</em>, peaking at balance and vanishing at extremes.</p> </li> <li> <p><strong>Realized surprise</strong>: potential multiplied by the magnitude of a rational jump.</p> </li> <li> <p><strong>Biased extensions</strong>: parametric generalizations privileging alignment over subjectivity.</p> </li> <li> <p><strong>Dynamic evolution</strong>: differential equations describing how surprise drives rational coherence against entropic drift.</p> </li> </ul> <p>Worked examples and visualizations illustrate how <em>mi</em> quantifies both the <strong>stored tension</strong> and the <strong>transformative leap</strong> of intelligence. This approach situates intelligence not as computation or prediction alone, but as the crystallization of coherence born from surprise — a formal bridge between <strong>metaphysics, mathematics, and information theory</strong>.</p> <p><strong>Keywords:</strong> intelligence, surprise, rational alignment, information theory, hypergraph, metaphysics, coherence, rational value</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17264421 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Mathematics of Intelligence: Defining Surprise (mi) through Local Flavor (fl) and Rational Alignment (ra) Balais, Mihai <p>This paper introduces a mathematical and philosophical framework for understanding <strong>intelligence as surprise</strong>. It defines the value of intelligence (<em>mi</em>) as the capacity of a system to transcend its own limitations through tension between <strong>local subjectivity</strong> (<em>fl</em>, flavor) and <strong>collective rational alignment</strong> (<em>ra</em>). The model is bounded by the relation <em>fl + ra = 1</em> and develops expressions for:</p> <ul> <li> <p><strong>Potential surprise</strong>: the symmetric product of <em>fl</em> and <em>ra</em>, peaking at balance and vanishing at extremes.</p> </li> <li> <p><strong>Realized surprise</strong>: potential multiplied by the magnitude of a rational jump.</p> </li> <li> <p><strong>Biased extensions</strong>: parametric generalizations privileging alignment over subjectivity.</p> </li> <li> <p><strong>Dynamic evolution</strong>: differential equations describing how surprise drives rational coherence against entropic drift.</p> </li> </ul> <p>Worked examples and visualizations illustrate how <em>mi</em> quantifies both the <strong>stored tension</strong> and the <strong>transformative leap</strong> of intelligence. This approach situates intelligence not as computation or prediction alone, but as the crystallization of coherence born from surprise — a formal bridge between <strong>metaphysics, mathematics, and information theory</strong>.</p> <p><strong>Keywords:</strong> intelligence, surprise, rational alignment, information theory, hypergraph, metaphysics, coherence, rational value</p> |
| title | The Mathematics of Intelligence: Defining Surprise (mi) through Local Flavor (fl) and Rational Alignment (ra) |
| url | https://doi.org/10.5281/zenodo.17264421 |