Ch. 1. Introduction. 1.1. A mathematical theory of mind? 1.2. Substance and change -- ch. 2. Creating thoughts: algebra of thinking. 2.1. What we shall do. 2.2. Judging a mind model. 2.3. Mental architecture. 2.4. An algebra of human thought. 2.5. Some thoughts in Goethe -- ch. 3. A mind equation. 3.1. Personality profile. 3.2. Mental dynamics. 3.3. Personality profiles in literature. 3.4. Trajectories in mind space. 3.5. Dynamics with simple moves. 3.6. Mental dynamics with composite moves. 3.7. A calculus of thinking. 3.8. Birth and death of thoughts -- ch. 4. Building a GOLEM, a thinking machine. 4.1. Data structures for the mind. 4.2. Program hierarchy for the mind. 4.3. Putting it all together. 4.4. A GOLEM alive? 4.5. Drivers. 4.6. Judging the behavior of GOLEM. 4.7. Not yet implemented. 4.8. LEGACY. 4.9. Assembling mental pattern parameters. 4.10. Running the LEGACY -- ch. 5. As thinking develops. 5.1. Changes in personality parameter. 5.2. Development of a young mind. 5.3. GOLEM evolves -- ch. 6. MIND and brain. 6.1. Connect to the brain? 6.2. A network example. 6.3. Examples. 6.4. Multi-level architecture -- ch. 7. Reflections. 7.1. Generalities on PoT. 7.2. Substance in PoT. 7.3. Change in PoT -- ch. 8. Doubts and certainties