أينشتاين مصر (10) || شرح ال Discrete Math - Proof Methods

A mathematical proof is an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference. Proofs are examples of exhaustive deductive reasoning which establish logical certainty, to be distinguished from empirical arguments or non-exhaustive inductive reasoning which establish "reasonable expectation". Presenting many cases in which the statement holds is not enough for a proof, which must demonstrate that the statement is true in all possible cases. An unproven proposition that is believed to be true is known as a conjecture, or a hypothesis if frequently used as an assumption for further mathematical work. ---------------------------------------------------- Methods of Proof :- Direct proof. Proof by mathematical induction. Proof by contraposition. Proof by contradiction. Proof by construction. Proof by exhaustion. Probabilistic proof. Combinatorial proof ---------------------------------------- #Mathematical_Proof #Proof_Methods #Direct_Proof #Indirect_Proof --------------------------------------------- لمتابعة سلسة شرح الهياكل المتقطعة Discrete Math كاملة من رابط قائمة التشغيل :    • أينشتاين مصر || Discrete Mathematics(CS201...   ╔═.♥. ════════════════════════════════════╗ ＳＵＢＳＣＲＩＢＥ | ＬＩＫＥ | ＣＯＭＭＥＮＴ | ＳＨＡＲＥ | ► Subscribe إشترك ✔    / @einshtenmisr   لاتنسوا الاشتـــــــراك في القنــــاة ✔ ولايـك للفيديو ✔ مشاهدة طيبة أعزائي الكرام ╚══════.♥. ═════════════════════════ #أينشتاين_مصر #Einshten_Mahmoud_Alyosify   / mahmoudalyosify     / mahmoudalyosify   G-email:[email protected] Yahoo :[email protected]