Arthur M. Young



Chapter I - The fourfold division

Categories of knowing

The four aspects of a situation 

Aristotle's causes


Chapter II - The measure formulae

A mathematical method

The cycle of action

Use of the measure formulae

Categories of knowing represented by the measure formulae

The scientific basis for the human faculties

The learning cycle


Chapter III  - The threefold division 

Examples of the threefold


Chapter IV - Generating other measure formula

Formal device for "reducing" M, L, and T


Chapter V - The rosetta stone of meaning

The four relationships

The four acts

The four states

Illustration from Peirce


Chapter VI - The roots of unity 

Negative and imaginary numbers 

Cube roots and the threefold operator


Chapter VII - Comparison of threefold and fourfold operators

Example from psychology

Constraint and freedom

Order of the realms


A philosophical overview


Chapter VIII - Substance and form

The theory as it applies to nuclear particles 

Form versus substance in science

The threefold operator and the nuclear realm


Chapter IX - Purposive intelligence and the twofold operator

Introduction of the twofold operator

The twofold operator in nature

The emergence of life

The evolution of life - increase of freedom

Categories of life exemplifying the three degrees of freedom


Chapter X - Applications

The fourfold operator 

The threefold operator 

The twofold operator


Chapter XI - The four elements


Chapter XII - Free will

Summary with some emphasis on neglected points


Chapter XIII - Types of philosophy

Earth versus air






Where does it lead?




The Geometry of Meaning