The syllogism of necessity shifts its middle term across categorical, hypothetical, and disjunctive forms.

Evidence

This syllogism has the universal as its middle term … posited as essentially determinate within itself. Initially (1) the particular is the mediating determination, in the sense of the determinate genus or species, – this is the case in the categorical syllogism. Then it is (2) the singular in the sense of immediate being, so that it is both mediating and mediated – in the hypothetical syllogism. (3) The mediating universal is also posited as the totality of its particularizations and as a singular particular [or as] excluding singularity – in the disjunctive syllogism. — Catherine Malabou, The Future of Hegel, 678

Categorization

• DEFINE: Defines the three stages of the syllogism of necessity in Hegel’s logic.
• XREF: connects to: Categorical, hypothetical, and disjunctive propositions differ by how they present conditions — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 951; A disjunctive syllogism requires mutually exclusive and collectively exhaustive alternatives — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 945

Broader Connections

• Categorical, hypothetical, and disjunctive propositions differ by how they present conditions #expands (0.85) — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 951
• A disjunctive syllogism requires mutually exclusive and collectively exhaustive alternatives #expands (0.80) — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 945