Introduction
Genetic Epistemology
The Period of Sensorimotor Intelligence [ o to 2 years of age]
The Period of Preparation for and Organization of Concrete Operations [3 to 11 years of age]
The Period of Formal Operations [11 to 15 years of age]
Definition of Important Concepts of Logico-Mathematical Structures
Elementary Groupements of Classes and Relations (Simple Classification and Seriation)
Propositional Structures (Lattice and the Group INCR)
The Musical Child
I - The Sensorimotor and Auditive Period [0 to 2 years of age]
II - Pre-operational Musical Period [2 to 7 years of age]
III - Concrete Musical Period [7 to 11 years of age]
IV - Propositional or Formal Musical Period [11 to 15 years of age]
The Logical Musical Thinking
Definition
The System of Propositions NRCI (Commutative Group)
The Abstract Group of Transformations
The Virtual Tone System (VTS)
Structured Wholes (Structure d’ensemble)
The 24 Tone System
The Representation of Musical Reality
Action — Space — Geometry / Time — Movement — Speed
Conclusion
Appendix
The Growth of Musical Intelligence writings are a branch of Epistemology of Musicophysics. In addition,
the writings represent an integration of some of the aspects of the Transpositional Theory from Nuclear
Music with the Theory of Genetic Epistemology (the child’s apprehension of reality) from the Developmental
Psychology of Jean Piaget and his group.