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Weak Mathematical Induction

Weak induction proves a statement for natural numbers by assuming it's true for the immediately preceding case. This contrasts with…

2 weeks ago

Vel: Understanding Inclusive Disjunction in Logic

Vel, the Latin word for 'or', represents the logical symbol ∨. It denotes an inclusive disjunction, meaning the entire statement…

2 weeks ago

Variable Assignment in Formal Logic

A variable assignment, sometimes called a variable assignment function, is a crucial interpretation in formal languages for first-order or higher-order…

2 weeks ago

Truth Tables: Understanding Logical Statements

A truth table systematically displays the truth value of a compound statement for all possible truth combinations of its individual…

2 weeks ago

Translation Lemma: A Key Concept in Sm n Theorem

The translation lemma is a crucial synonym for the Sm n theorem, facilitating proofs in probability theory and statistical mechanics…

2 weeks ago

Subjunctive Conditional Statements

Explore hypothetical situations and their consequences with subjunctive conditionals. These statements describe what would be true if a contrary-to-fact antecedent…

2 weeks ago

Strict Conditional

A strict conditional is a logical implication where the truth of the antecedent necessitates the truth of the consequent. It's…

2 weeks ago

Square of Opposition

The Square of Opposition illustrates logical relations between A, E, I, and O categorical propositions. It details contradictions, contraries, subcontraries,…

2 weeks ago

Skolemization in First-Order Logic

Skolemization is a crucial technique in first-order logic for eliminating existential quantifiers. It involves introducing Skolem functions to preserve logical…

2 weeks ago

Sequent Calculus: A Formal System for Logical Deduction

Sequent calculus is a formal system for logical entailments, representing deductions as sequences of formulas. It emphasizes structural rules, providing…

2 weeks ago