Template:Logic - Wikipedia

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Overview

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Academic areas	* Argumentation theory Axiology Critical thinking Computability theory Formal semantics History of logic Informal logic Logic in computer science Mathematical logic Mathematics Metalogic Metamathematics Model theory Philosophical logic Philosophy Philosophy of logic Philosophy of mathematics Proof theory Set theory
Foundational concepts	* Abduction Analytic truth Antinomy A priori Deduction Definition Description Entailment Induction Inference Logical consequence Logical form Logical implication Logical truth Name Necessity Meaning Paradox Possible world Presupposition Probability Reason Reasoning Reference Semantics Statement Strict implication Substitution Syntax Truth Truth value Validity

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Critical thinking and Informal logic	* Analysis Ambiguity Argument Belief Bias Credibility Evidence Explanation Explanatory power Fact Fallacy Inquiry Opinion Parsimony Premise Propaganda Prudence Reasoning Relevance Rhetoric Rigor Vagueness
Theories of deduction	* Constructivism Dialetheism Fictionalism Finitism Formalism Intuitionism Logical atomism Logicism Nominalism Platonic realism Pragmatism Realism

[[Template: {{{name}}}\|v]] • [[Template talk: {{{name}}}\|d]] • [{{fullurl:Template: {{{name}}}\|action=edit}} e] Metalogic and metamathematics
* Cantor's theorem Church's theorem Church's thesis Consistency Effective method Foundations of mathematics Gödel's completeness theorem Gödel's incompleteness theorems Soundness Completeness Decidability Interpretation Löwenheim–Skolem theorem Metatheorem Satisfiability Independence Type–token distinction Use–mention distinction

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General	* Formal language Formation rule Formal system Deductive system Formal proof Formal semantics Well-formed formula Set Element Class Classical logic Axiom Natural deduction Rule of inference Relation Theorem Logical consequence Axiomatic system Type theory Symbol Syntax Theory
Traditional logic	* Proposition Inference Argument Validity Cogency Syllogism Square of opposition Venn diagram
Propositional calculus and Boolean logic	* Boolean functions Propositional calculus Propositional formula Logical connectives Truth tables
Predicate	* First-order Quantifiers Predicate Second-order Monadic predicate calculus
Set theory	* Set Empty set Enumeration Extensionality Finite set Function Subset Power set Countable set Recursive set Domain Range Ordered pair Uncountable set
Model theory	* Model Interpretation Non-standard model Finite model theory Truth value Validity
Proof theory	* Formal proof Deductive system Formal system Theorem Logical consequence Rule of inference Syntax
Computability theory	* Recursion Recursive set Recursively enumerable set Decision problem Church–Turing thesis Computable function Primitive recursive function

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Modal logic	* Alethic Axiologic Deontic Doxastic Epistemic Temporal
Intuitionism	* Intuitionistic logic Constructive analysis Heyting arithmetic Intuitionistic type theory Constructive set theory
Fuzzy logic	* Degree of truth Fuzzy rule Fuzzy set Fuzzy finite element Fuzzy set operations
Substructural logic	* Structural rule Relevance logic Linear logic
Paraconsistent logic	* Dialetheism
Description logic	* Ontology Ontology language

[[Template: {{{name}}}\|v]] • [[Template talk: {{{name}}}\|d]] • [{{fullurl:Template: {{{name}}}\|action=edit}} e] Logicians
* Anderson Aristotle Averroes Avicenna Bain Barwise Bernays Boole Boolos Cantor Carnap Church Chrysippus Curry De Morgan Frege Geach Gentzen Gödel Hilbert Kleene Kripke Leibniz Löwenheim Peano Peirce Putnam Quine Russell Schröder Scotus Skolem Smullyan Tarski Turing Whitehead William of Ockham Wittgenstein Zermelo

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Lists

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Topics	* Outline of logic Index of logic articles Mathematical logic Boolean algebra Set theory
Other	* Logicians Rules of inference Paradoxes Fallacies Logic symbols