Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Direct_proof> ?p ?o }
Showing triples 1 to 75 of
75
with 100 triples per page.
- Direct_proof abstract "In mathematics and logic, a direct proof is a way of showing thetruth or falsehood of a given statement by a straightforward combination ofestablished facts, usually axioms, existing lemmas and theorems, without making any further assumptions. In order to directly prove a conditional statement of the form \"If p, then q\", it suffices to consider the situations in which the statement p is true. Logical deduction is employed to reason from assumptions to conclusion. The type of logic employed is almost invariably first-order logic, employing the quantifiers for all and there exists. Common proof rules used are modus ponens and universal instantiation.In contrast, an indirect proof may begin with certain hypothetical scenarios and then proceed to eliminate the uncertainties in each of these scenarios until an inescapable conclusion is forced. For example, instead of showing directly p ⇒ q, one proves its contrapositive ~q ⇒ ~p (one assumes ~q and shows that it leads to ~p). Since p ⇒ q and ~q ⇒ ~p are equivalent by the principle of transposition (see law of excluded middle), p ⇒ q is indirectly proved. Proof methods that are not direct include proof by contradiction, including proof by infinite descent. Direct proof methods include proof by exhaustion and proof by induction.".
- Direct_proof thumbnail Geometric_Constructions.png?width=300.
- Direct_proof wikiPageExternalLink BookOfProof.
- Direct_proof wikiPageExternalLink Direct.pdf.
- Direct_proof wikiPageExternalLink higher_math_online.
- Direct_proof wikiPageExternalLink section02.01.html.
- Direct_proof wikiPageExternalLink proofs.direct.html.
- Direct_proof wikiPageExternalLink proofs.html.
- Direct_proof wikiPageID "238676".
- Direct_proof wikiPageLength "7495".
- Direct_proof wikiPageOutDegree "35".
- Direct_proof wikiPageRevisionID "698038226".
- Direct_proof wikiPageWikiLink Analogy.
- Direct_proof wikiPageWikiLink Axiom.
- Direct_proof wikiPageWikiLink Category:Logical_truth.
- Direct_proof wikiPageWikiLink Category:Mathematical_proofs.
- Direct_proof wikiPageWikiLink Circle.
- Direct_proof wikiPageWikiLink Comparison.
- Direct_proof wikiPageWikiLink Contraposition.
- Direct_proof wikiPageWikiLink Egyptians.
- Direct_proof wikiPageWikiLink Euclidean_geometry.
- Direct_proof wikiPageWikiLink First-order_logic.
- Direct_proof wikiPageWikiLink Geometry.
- Direct_proof wikiPageWikiLink Greeks.
- Direct_proof wikiPageWikiLink Law_of_excluded_middle.
- Direct_proof wikiPageWikiLink Lemma_(mathematics).
- Direct_proof wikiPageWikiLink Logic.
- Direct_proof wikiPageWikiLink Material_conditional.
- Direct_proof wikiPageWikiLink Mathematical_induction.
- Direct_proof wikiPageWikiLink Mathematics.
- Direct_proof wikiPageWikiLink Modus_ponens.
- Direct_proof wikiPageWikiLink Parity_(mathematics).
- Direct_proof wikiPageWikiLink Phenomenology_(philosophy).
- Direct_proof wikiPageWikiLink Proof_by_contradiction.
- Direct_proof wikiPageWikiLink Proof_by_exhaustion.
- Direct_proof wikiPageWikiLink Proof_by_infinite_descent.
- Direct_proof wikiPageWikiLink Rectangle.
- Direct_proof wikiPageWikiLink Theorem.
- Direct_proof wikiPageWikiLink Transposition_(logic).
- Direct_proof wikiPageWikiLink Triangle.
- Direct_proof wikiPageWikiLink Trigonometry.
- Direct_proof wikiPageWikiLink Truth.
- Direct_proof wikiPageWikiLink Universal_instantiation.
- Direct_proof wikiPageWikiLink File:Diagram_of_Pythagoras_Theorem_simplified.png.
- Direct_proof wikiPageWikiLink File:Geometric_Constructions.png.
- Direct_proof wikiPageWikiLink File:Math_Derivation.png.
- Direct_proof wikiPageWikiLinkText "Direct proof".
- Direct_proof wikiPageWikiLinkText "direct proof".
- Direct_proof wikiPageUsesTemplate Template:Cite_book.
- Direct_proof wikiPageUsesTemplate Template:Reflist.
- Direct_proof wikiPageUsesTemplate Template:Unicode.
- Direct_proof subject Category:Logical_truth.
- Direct_proof subject Category:Mathematical_proofs.
- Direct_proof hypernym Way.
- Direct_proof type Concept.
- Direct_proof type Proof.
- Direct_proof type Theorem.
- Direct_proof comment "In mathematics and logic, a direct proof is a way of showing thetruth or falsehood of a given statement by a straightforward combination ofestablished facts, usually axioms, existing lemmas and theorems, without making any further assumptions. In order to directly prove a conditional statement of the form \"If p, then q\", it suffices to consider the situations in which the statement p is true. Logical deduction is employed to reason from assumptions to conclusion.".
- Direct_proof label "Direct proof".
- Direct_proof sameAs Q3240280.
- Direct_proof sameAs Demostració_per_deducció.
- Direct_proof sameAs Přímý_důkaz.
- Direct_proof sameAs اثبات_مستقیم.
- Direct_proof sameAs Директен_доказ.
- Direct_proof sameAs Dowód_wprost.
- Direct_proof sameAs Prova_direta.
- Direct_proof sameAs m.01jm50.
- Direct_proof sameAs සෘජු_සාධනය.
- Direct_proof sameAs Direct_proof.
- Direct_proof sameAs Priamy_dôkaz.
- Direct_proof sameAs Direkt_bevis.
- Direct_proof sameAs Q3240280.
- Direct_proof wasDerivedFrom Direct_proof?oldid=698038226.
- Direct_proof depiction Geometric_Constructions.png.
- Direct_proof isPrimaryTopicOf Direct_proof.