Quantitative Aspect : of a general education

 Quantitative Aspect : 

• ... of a general education syllabus - these are often piecemeal, and ineloquent in describing how the "whole thing" works. Here is a sketch of what should be done.

Foundation 1.

• Age 0 to 8. Ontology of speech and text, from Natural language to Formal language. Predicate logic. First-order logic. Second-order logic. Just do it in plain English. Don't talk about maths.

Foundation 2.

• Age 9 to 12. Maths. Reiterate on the 0-1-2-order logics under the lens of Set theory and Type theory. Abstract data structures. Arithmetic to factorials, and polynomials. Basic probability. Build some toys. Learn all about spreadsheets as calculators, and notebooks as visualisers. Revise 1.

Foundation 3.

• Age 13 to 15. Machinery. NAND gates to von Neuman architecture. Introduce Combinatory logic. Introduce Lambda calculus. Execute basic arithmetic in Assembly language. Introduction to build tools and editors. Practice memory management. Build more toys. Infinitesimal calculus and linear equations. Revise 1,2.

Foundation 4.

• North of 15. Matrix math. Multivariable calculus. Software architecture. Introduction to fullstack deployments. Statistics as an introduction to economics.

This sounds like a lot, but it's not really. The material is often unnecessarily convoluted. We need terser syllabi, that cuts to the chase. We need tools that adequately outsource memory requirements. And we need a framework for managing an army of human and machine administrators, to facilitate this.