Generator
ordinal
A generator in the logic library, called 8 times across 1 essays. Below: what it draws at its defaults and at each mode an essay asks for, what it checks while drawing, and everywhere it is used.
ordinal is one function. Everything below came out of it during this
build, at parameters taken from the essays rather than invented for this page — so a figure
here is the same figure a reader meets in an essay, and if the generator changes, this page
changes with it.
At its defaults
show: "goodstein"
What it checks while it draws
Collected by running the family and recording what it asserted, not written here. The count is how many separate times the claim was put to the test while these drawings were made.
- a limit mark is where the marks before it pile up ×1
- between one and five order types are drawn ×1
- every limit mark has marks before it ×1
- nothing sits between the pile-up and the limit it accumulates at ×1
- the marks along each line strictly increase ×1
- the number of steps shown is a whole number between 3 and 12 ×1
- the number of ticks per block is a whole number between 4 and 14 ×1
- the ordinal beside each term is strictly smaller than the one before it ×1
- the starting value is a whole number between 2 and 6 ×1
Where it is called
Changing this generator changes every figure on this list. That is what makes the list worth publishing rather than keeping in a check script.