PERIODIC TABLE OF ARGUMENTS

By Jean Hubert M. Wagemans — Last updated on September 13, 2026

Argument from division

You reason downward from a whole to its parts: what is true of the whole is claimed for each part in it. The argument works by treating every part as sharing the character of the whole, so that a quality of the whole must be found in each of its parts. It can be attacked by showing that a whole can be excellent overall while one of its parts is weak, or that a part can lack a quality the whole owes to the rest of its parts.

Example

All the faculties of the University of Amsterdam are excellent because the University of Amsterdam is excellent

Standardised form

All the faculties of the University of Amsterdam (a) are excellent (X) because the University of Amsterdam (b) is excellent (X).

Transformations applied: none — the example is already in canonical form.

Triadic structure of the argument from division example: conclusion, premise and lever

Classification

The subjects differ and the predicate is the same, so the argument form is beta (a is X because b is X).

The conclusion is about all the faculties of the university (u) and the premise about all the faculties making up the university (u), so the argument substance is uu.

The keyword A PART OF describes the relationship between subjects a and b. The argument lever can thus be formulated as “All the faculties of the University of Amsterdam (a) are a PART of the University of Amsterdam (b)”.

Not to be confused with

  • Argument from composition — The same relationship run the other way, from the parts up to the whole. COMPOSED OF
  • Argument from totality — The conclusion is one member of the collection, not the complete set of parts. su
  • Argument from genus — The premise is a wider kind and the conclusion a narrower kind, not a thing and its components. BELONGS TO THE GENUS OF

Source

Source not yet recorded.

Notes

One could argue that “the University of Amsterdam” is a singular statement (s). In the context of the argument it is a cognitive shorthand for “all the faculties of the University of Amsterdam”, so the subject type is universal (u). See also the argument from composition. One could imagine a similar type with a particular statement (p) as conclusion: “Most of the faculties of the University of Amsterdam are excellent (p) because the University of Amsterdam is excellent (u)”. Since the substance is pu, that type belongs to a different group of the Beta Quadrant.