Reasoning
The lenses
The analysis lenses are how a subject is seen. Each sits on one universal axis and is listed with the fields of mathematics it draws on, the surfaces and detectors it feeds and the test surfaces that see through it.
structure
- Nature: arrangement
- Universal axis: arrangement
time
- Nature: time
- Universal axis: dynamics
space
- Nature: location
- Universal axis: arrangement
statistical
- Nature: distribution
- Universal axis: abstraction
frequency
- Nature: recurrence
- Universal axis: dynamics
sequential
- Nature: order
- Universal axis: dynamics
relation
- Nature: relationships
- Universal axis: interaction
behavior
- Nature: action
- Universal axis: interaction
function
- Nature: purpose
- Universal axis: abstraction
meaning
- Nature: meaning
- Universal axis: abstraction
cause
- Nature: cause
- Universal axis: interaction
prediction
- Nature: expectation
- Universal axis: abstraction
anomaly
- Nature: exception
- Universal axis: abstraction
change
- Nature: development
- Universal axis: dynamics
fractal
- Nature: self-similarity
- Universal axis: abstraction
transformation
- Nature: transformation
- Universal axis: dynamics
invariant
- Nature: invariance
- Universal axis: arrangement
optimization
- Nature: selection
- Universal axis: abstraction
complexity
- Nature: difficulty
- Universal axis: abstraction