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- Mathematical_proof abstract "In mathematics, a proof is a deductive argument for a mathematical statement. In the argument, other previously established statements, such as theorems, can be used. In principle, a proof can be traced back to self-evident or assumed statements, known as axioms, along with accepted rules of inference. Axioms may be treated as conditions that must be met before the statement applies. Proofs are examples of deductive reasoning and are distinguished from inductive or empirical arguments; a proof must demonstrate that a statement is always true (occasionally by listing all possible cases and showing that it holds in each), rather than enumerate many confirmatory cases. An unproved proposition that is believed true is known as a conjecture.Proofs employ logic but usually include some amount of natural language which usually admits some ambiguity. In fact, the vast majority of proofs in written mathematics can be considered as applications of rigorous informal logic. Purely formal proofs, written in symbolic language instead of natural language, are considered in proof theory. The distinction between formal and informal proofs has led to much examination of current and historical mathematical practice, quasi-empiricism in mathematics, and so-called folk mathematics (in both senses of that term). The philosophy of mathematics is concerned with the role of language and logic in proofs, and mathematics as a language.".
- Mathematical_proof thumbnail Oxyrhynchus_papyrus_with_Euclids_Elements.jpg?width=300.
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- Mathematical_proof wikiPageWikiLink Al-Karaji.
- Mathematical_proof wikiPageWikiLink Algebra.
- Mathematical_proof wikiPageWikiLink Analytic–synthetic_distinction.
- Mathematical_proof wikiPageWikiLink Argument.
- Mathematical_proof wikiPageWikiLink Argument-deduction-proof_distinctions.
- Mathematical_proof wikiPageWikiLink Aristotle.
- Mathematical_proof wikiPageWikiLink Arithmetic.
- Mathematical_proof wikiPageWikiLink Arithmetic_progression.
- Mathematical_proof wikiPageWikiLink Automated_theorem_proving.
- Mathematical_proof wikiPageWikiLink Axiom.
- Mathematical_proof wikiPageWikiLink Axiomatic_system.
- Mathematical_proof wikiPageWikiLink Baruch_Spinoza.
- Mathematical_proof wikiPageWikiLink Bayes_theorem.
- Mathematical_proof wikiPageWikiLink Bayesian_inference.
- Mathematical_proof wikiPageWikiLink Bayesian_probability.
- Mathematical_proof wikiPageWikiLink Bijective_proof.
- Mathematical_proof wikiPageWikiLink Binomial_theorem.
- Mathematical_proof wikiPageWikiLink Category:Mathematical_logic.
- Mathematical_proof wikiPageWikiLink Category:Mathematical_proofs.
- Mathematical_proof wikiPageWikiLink Category:Mathematical_terminology.
- Mathematical_proof wikiPageWikiLink Category:Sources_of_knowledge.
- Mathematical_proof wikiPageWikiLink Certainty.
- Mathematical_proof wikiPageWikiLink Chaotic_series.
- Mathematical_proof wikiPageWikiLink Closure_(mathematics).
- Mathematical_proof wikiPageWikiLink Cogito_ergo_sum.
- Mathematical_proof wikiPageWikiLink Collatz_conjecture.
- Mathematical_proof wikiPageWikiLink Complex_analysis.
- Mathematical_proof wikiPageWikiLink Conjecture.
- Mathematical_proof wikiPageWikiLink Constructive_proof.
- Mathematical_proof wikiPageWikiLink Contraposition.
- Mathematical_proof wikiPageWikiLink Coprime_integers.
- Mathematical_proof wikiPageWikiLink Cosmology.
- Mathematical_proof wikiPageWikiLink Counterexample.
- Mathematical_proof wikiPageWikiLink Cryptography.
- Mathematical_proof wikiPageWikiLink Data.
- Mathematical_proof wikiPageWikiLink Data_analysis.
- Mathematical_proof wikiPageWikiLink Deductive_reasoning.
- Mathematical_proof wikiPageWikiLink Distributive_property.
- Mathematical_proof wikiPageWikiLink Double_counting_(proof_technique).
- Mathematical_proof wikiPageWikiLink Empirical_evidence.
- Mathematical_proof wikiPageWikiLink Eponym.
- Mathematical_proof wikiPageWikiLink Euclid.
- Mathematical_proof wikiPageWikiLink Euclidean_geometry.
- Mathematical_proof wikiPageWikiLink Euclids_Elements.
- Mathematical_proof wikiPageWikiLink Eudoxus_of_Cnidus.
- Mathematical_proof wikiPageWikiLink Evidence.
- Mathematical_proof wikiPageWikiLink Existence_theorem.
- Mathematical_proof wikiPageWikiLink Experiment.
- Mathematical_proof wikiPageWikiLink Experimental_mathematics.
- Mathematical_proof wikiPageWikiLink Formal_language.
- Mathematical_proof wikiPageWikiLink Formal_proof.
- Mathematical_proof wikiPageWikiLink Foundations_of_mathematics.
- Mathematical_proof wikiPageWikiLink Four_color_theorem.
- Mathematical_proof wikiPageWikiLink Fractal.
- Mathematical_proof wikiPageWikiLink Geometry.
- Mathematical_proof wikiPageWikiLink Gottfried_Wilhelm_Leibniz.
- Mathematical_proof wikiPageWikiLink Gottlob_Frege.
- Mathematical_proof wikiPageWikiLink Greek_mathematics.
- Mathematical_proof wikiPageWikiLink Gxc3xb6dels_incompleteness_theorems.
- Mathematical_proof wikiPageWikiLink Immanuel_Kant.
- Mathematical_proof wikiPageWikiLink Independence_(mathematical_logic).
- Mathematical_proof wikiPageWikiLink Inductive_reasoning.
- Mathematical_proof wikiPageWikiLink Infinite_set.
- Mathematical_proof wikiPageWikiLink Informal_logic.
- Mathematical_proof wikiPageWikiLink Information.
- Mathematical_proof wikiPageWikiLink Integer.
- Mathematical_proof wikiPageWikiLink Iraqis.
- Mathematical_proof wikiPageWikiLink Irrational_number.
- Mathematical_proof wikiPageWikiLink John_Wiley_&_Sons.
- Mathematical_proof wikiPageWikiLink Joseph_Liouville.
- Mathematical_proof wikiPageWikiLink Language_of_mathematics.
- Mathematical_proof wikiPageWikiLink Language_of_thought_hypothesis.
- Mathematical_proof wikiPageWikiLink Latin.
- Mathematical_proof wikiPageWikiLink Liouville_number.
- Mathematical_proof wikiPageWikiLink List_of_incomplete_proofs.
- Mathematical_proof wikiPageWikiLink List_of_long_mathematical_proofs.
- Mathematical_proof wikiPageWikiLink List_of_mathematical_proofs.
- Mathematical_proof wikiPageWikiLink List_of_statements_undecidable_in_ZFC.
- Mathematical_proof wikiPageWikiLink Logic.
- Mathematical_proof wikiPageWikiLink Material_conditional.
- Mathematical_proof wikiPageWikiLink Mathematical_beauty.
- Mathematical_proof wikiPageWikiLink Mathematical_fallacy.
- Mathematical_proof wikiPageWikiLink Mathematical_folklore.
- Mathematical_proof wikiPageWikiLink Mathematical_induction.
- Mathematical_proof wikiPageWikiLink Mathematical_object.
- Mathematical_proof wikiPageWikiLink Mathematical_physics.
- Mathematical_proof wikiPageWikiLink Mathematical_practice.
- Mathematical_proof wikiPageWikiLink Mathematical_statistics.
- Mathematical_proof wikiPageWikiLink Mathematics.
- Mathematical_proof wikiPageWikiLink Mathematics_and_plausible_reasoning.
- Mathematical_proof wikiPageWikiLink Mathematics_in_medieval_Islam.
- Mathematical_proof wikiPageWikiLink Missing_square_puzzle.
- Mathematical_proof wikiPageWikiLink Natural_language.