praeclarum theorema

Contents

TranslingualEdit

EtymologyEdit

So named by G.W. Leibniz in his unpublished papers of 1690 (later published as Leibniz: Logical Papers in 1966), meaning "splendid theorem" in Latin.

NounEdit

praeclarum theorema

  1. (logic) The following theorem of propositional calculus: (A → B) ∧ (C → D) → (A ∧ C → B ∧ D). [1] [2] [3] [4]
    The praeclarum theorema can be seen to correspond with the rule   of linear logic; given two sequents   and   one may infer (through the said rule) that  . Then one may further infer, through the rule  , that  .

See alsoEdit

ReferencesEdit

  1. ^ http://planetmath.org/encyclopedia/PraeclarumTheorema.html
  2. ^ http://www.proofwiki.org/wiki/Praeclarum_Theorema
  3. ^ http://mally.stanford.edu/cm/leibniz/ (Proposition 10)
  4. ^ Theorem prth698 at Metamath Proof Explorer