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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. 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 unproven statement 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_Euclid's_Elements.jpg?width=300.
- Mathematical_proof wikiPageExternalLink Logic.
- Mathematical_proof wikiPageExternalLink 9404236.
- Mathematical_proof wikiPageExternalLink profmat.pdf.
- Mathematical_proof wikiPageExternalLink proof.pdf.
- Mathematical_proof wikiPageExternalLink planetmath.org.
- Mathematical_proof wikiPageExternalLink lamport-how-to-write.pdf.
- Mathematical_proof wikiPageExternalLink lamport-how-to-write.
- Mathematical_proof wikiPageExternalLink comparison.pdf.
- Mathematical_proof wikiPageExternalLink WhatIsProof.shtml.
- Mathematical_proof wikiPageExternalLink index.shtml.
- Mathematical_proof wikiPageExternalLink proofgoldberger.pdf.
- Mathematical_proof wikiPageExternalLink index.html.
- Mathematical_proof wikiPageExternalLink www.proofwiki.org.
- Mathematical_proof wikiPageExternalLink proofs.html.
- Mathematical_proof wikiPageID "82285".
- Mathematical_proof wikiPageRevisionID "606037040".
- Mathematical_proof hasPhotoCollection Mathematical_proof.
- Mathematical_proof id "p/p075430".
- Mathematical_proof title "Proof theory".
- Mathematical_proof subject Category:Mathematical_logic.
- Mathematical_proof subject Category:Mathematical_proofs.
- Mathematical_proof subject Category:Mathematical_terminology.
- Mathematical_proof subject Category:Sources_of_knowledge.
- Mathematical_proof type Place.
- Mathematical_proof type Wikidata:Q532.
- Mathematical_proof type Place.
- Mathematical_proof type Location.
- Mathematical_proof comment "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.".
- Mathematical_proof label "Beweis (Mathematik)".
- Mathematical_proof label "Demostración matemática".
- Mathematical_proof label "Dimostrazione matematica".
- Mathematical_proof label "Dowód (matematyka)".
- Mathematical_proof label "Démonstration".
- Mathematical_proof label "Mathematical proof".
- Mathematical_proof label "Prova matemática".
- Mathematical_proof label "Wiskundig bewijs".
- Mathematical_proof label "Математическое доказательство".
- Mathematical_proof label "برهان رياضي".
- Mathematical_proof label "証明".
- Mathematical_proof label "證明".
- Mathematical_proof sameAs Matematický_důkaz.
- Mathematical_proof sameAs Beweis_(Mathematik).
- Mathematical_proof sameAs Μαθηματική_απόδειξη.
- Mathematical_proof sameAs Demostración_matemática.
- Mathematical_proof sameAs Démonstration.
- Mathematical_proof sameAs Pembuktian_matematika.
- Mathematical_proof sameAs Dimostrazione_matematica.
- Mathematical_proof sameAs 証明.
- Mathematical_proof sameAs 증명_(수학).
- Mathematical_proof sameAs Wiskundig_bewijs.
- Mathematical_proof sameAs Dowód_(matematyka).
- Mathematical_proof sameAs Prova_matemática.
- Mathematical_proof sameAs m.0l46k.
- Mathematical_proof sameAs Q11538.
- Mathematical_proof sameAs Q11538.
- Mathematical_proof wasDerivedFrom Mathematical_proof?oldid=606037040.
- Mathematical_proof depiction Oxyrhynchus_papyrus_with_Euclid's_Elements.jpg.
- Mathematical_proof isPrimaryTopicOf Mathematical_proof.
