Axioms
Notation | Schema | Name |
---|---|---|
𝗘𝗙𝗤 | ⊥ ⟶ p | Ex Falso Quodlibet or Law of Explosion |
𝗗𝗡𝗘 | ~~p ⟶ p | Double Negation Elimination |
𝗟𝗘𝗠 | p ⋎ ~p | Law of Excluded Middle |
𝘄𝗟𝗘𝗠 | ~p ⋎ ~~p | Weak Law of Excluded Middle |
𝗣𝗲 | ((p ⟶ q) ⟶ p) ⟶ p | Peirce's Law |
𝗚𝗗 | (p ⟶ q) ⋎ (q ⟶ p) | Gödel-Dummett Axiom |