Formal Logic; or, The Calculus of Inference, Necessary and Probable¶
De Morgan, A. (1847). Formal Logic; or, The Calculus of Inference, Necessary and Probable.
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Primes¶
- Duality
- … (doubling the payoff of each result), optimization problems that are hard in primal form can be recast and solved in dual form (where the Lagrangian dual and the LP dual are the canonical industrial cases), logical operations in one vocabulary (∧, ∀) translate mechanically to the other (∨, ∃) via De Morgan's laws
This sourceEstablished the modern symbolic statement of the conjunction/disjunction/negation duality (equivalents had appeared in William of Ockham's fourteenth-century Summa Logicae). Historical survey: Bocheński, A History of Formal Logic (Notre Dame, 1961).
- … (doubling the payoff of each result), optimization problems that are hard in primal form can be recast and solved in dual form (where the Lagrangian dual and the LP dual are the canonical industrial cases), logical operations in one vocabulary (∧, ∀) translate mechanically to the other (∨, ∃) via De Morgan's laws
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