Outline of Logic - Concepts of Logic

Concepts of Logic

  • Deductive reasoning –
  • Inductive reasoning –
  • Abductive reasoning –

Mathematical logic –

  • Proof theory –
  • Set theory –
  • Formal system –
    • Predicate logic –
      • Predicate –
      • Higher-order logic –
    • Propositional calculus –
      • Proposition –
  • Boolean algebra –
    • Boolean logic –
    • Truth value –
    • Venn diagram –
    • Pierce's law –
  • Aristotelian logic –
  • Non-Aristotelian logic –
  • Informal logic –
  • Fuzzy logic –
  • Infinitary logic –
    • Infinity –
  • Categorical logic –
  • College logic –
  • Linear logic –
  • Metalogic –
  • Ordered logic –
  • Temporal logic –
  • Sequential logic –
  • Provability logic –
    • Interpretability logic –
      • Interpretability –
  • Quantum logic –
  • Relevant logic –
  • Consequent –
  • Affirming the consequent –
  • Antecedent –
  • Denying the antecedent –
  • Theorem –
  • Axiom –
  • Axiomatic system –
  • Axiomatization –
  • Conditional proof –
  • Invalid proof –
  • Degree of truth –
  • Truth –
  • Truth condition –
  • Truth function –
  • Double negative –
    • Double negative elimination –
  • Fallacy –
    • Existential fallacy –
    • Logical fallacy –
    • Syllogistic fallacy –
  • Type theory –
  • Game theory –
  • Game semantics –
  • Rule of inference –
  • Inference procedure –
  • Inference rule –
  • Introduction rule –
  • Law of excluded middle –
  • Law of non-contradiction –
  • Logical constant –
    • Logical connective –
    • Quantifier –
  • Logic gate –
    • Boolean Function –
  • Tautology –
  • Logical assertion –
  • Logical conditional –
  • Logical biconditional –
  • Logical equivalence –
  • Logical AND –
  • Negation –
  • Logical OR –
  • Logical NAND –
  • Logical NOR –
  • Contradiction –
  • Logicism –
  • Polysyllogism –
  • Syllogism –
  • Hypothetical syllogism –
  • Major premise –
  • Minor premise –
  • Term –
  • Singular term –
  • Major term –
  • Middle term –
  • Quantification –
  • Plural quantification –
  • Logical argument –
    • Validity –
    • Soundness –
  • Inverse (logic) –
  • Non sequitur –
  • Tolerance –
  • Satisfiability –
  • Logical language –
  • Paradox –
  • Polish notation –
  • Principia Mathematica –
  • Quod erat demonstrandum –
  • Reductio ad absurdum –
  • Rhetoric –
  • Self-reference –
  • Necessary and sufficient –
  • Sufficient condition –
  • Nonfirstorderizability –
  • Occam's Razor –
  • Socratic dialoge –
  • Socratic method –
  • Argument form –
  • Logic programming –
  • Unification –

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