Generator
syllogism
A generator in the logic library, called 7 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.
syllogism 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: "count"
show: "argument"
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 form valid without existential import is valid with it ×1
- every letter in the set expression names a drawn curve ×1
- fifteen forms are valid with no assumption that anything exists ×1
- nine more become valid once every term is assumed non-empty ×1
- the form is three mood letters and a figure number, like AAA-1 ×1
- there are 256 syllogistic forms — four figures and sixty-four moods ×1
- twenty-four forms are valid in the traditional list ×1
- two circles realise all four patterns ×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.