formal logic

Interrogative Logic (Erotetic Logic)

Interrogative logic, also known as erotetic logic, is the formal study of questions and reasoning involving them. It explores the…

5 days ago

Intensional Logic

A logic focusing on meaning beyond mere truth values, exploring concepts like belief, necessity, and possibility. It distinguishes between logically…

5 days ago

Induction on Well-Formed Formulas

A formal logic and mathematics proof technique. It verifies properties for basic formulas and ensures they are maintained through operations…

5 days ago

Indirect Proof

An indirect proof, also known as proof by contradiction, involves assuming the opposite of what you want to prove. If…

5 days ago

Inclusive First-Order Logic Explained

Inclusive first-order logic is a flexible variant that permits empty domains, unlike standard first-order logic which mandates at least one…

5 days ago

Understanding Logical Implication

Logical implication connects two statements: if the first (antecedent) is true, the second (consequent) must also be true. It's a…

5 days ago

Generalized Quantifiers: Beyond ‘All’ and ‘Some’

Generalized quantifiers extend logical and linguistic expression beyond basic 'all' or 'some'. They enable nuanced statements about quantities like 'most',…

5 days ago

Formal System

A formal system is a set of symbols and rules for manipulating them, used to derive statements or theorems in…

5 days ago

Formal Logic

Formal logic is the study of inference based solely on logical form, disregarding the interpretation of terms. It focuses on…

5 days ago

First-Order Variables in Logic

First-order variables are placeholders for individuals within a specific domain in first-order logic. They are fundamental to expressing general statements…

5 days ago