Possibly a useful spectrum along which to order and analyze tools for thought:

- binary
*(yes or no, true or false, 0 or 1)* - sets
*(non-ordered collections of stuff — data, hypotheses, plans, whatever — where an item***is**or**is not**a member) - partially-ordered sets
*(where some — but perhaps not all! — items can be compared with each other and put into a relationship like before-after, lower-higher, worse-better, etc.)* - ordered sets
*(with a strict sequence but no quantitative values — "ordinals")* - numerical values
*(assigned ratings that show meaningful gradations in quantity, size, whatever — "cardinals", upon which mathematical operations can be performed)* - numerical ranges
*(where each item's value may have an associated uncertainty or variance — plus generalizations thereof, beyond simple "error bars")* - continuous variables
*(smoothly-changing values upon which rates-of-change and other transformations may be computed)* - functions
*(mappings — general relationships between numbers, whether discrete or continuous)* - meta-functions
*(functions of functions — a step into transcendence, tools to make tools (to make ...), and beyond ...)*

... and how could this schema be further extended — perhaps into more than one dimension? *Hmmmmmmmmm ...!*

*(cf. Thinking Environments (1999-04-07), Thinking Tools Examples (1999-04-08), Thinking Tools Goals (1999-04-09), ...)* - * ^z* - 2017-04-06