4725 Mastering Mathematical Proofs Contraposition vs Contradiction
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=mogEzWao_xE
In this tutorial, I dissect two different approaches to proving mathematical statements - by contraposition and by contradiction. Using an example involving even integers, I start by employing contraposition. I let N be an arbitrary even integer and work through the algebra to establish that N squared is even. Following this, I switch gears and delve into proof by contradiction. I assume the existence of an integer N such that N squared is odd while N is even, and proceed to unravel the consequences of this assumption. By juxtaposing these two proof techniques, this tutorial enhances your toolkit for tackling mathematical theorems. • #mathProofs #proofByContradiction #contraposition #evenIntegers #algebra #mathTutorial #discreteMathematics #learningMath #mathEducation #theoremProofs #logicalReasoning #mathLogic #proofTechniques #integers #mathematicalArguments #criticalThinking #mathematicalStatements #mathTools #algebraicManipulation #evenNumbers #oddNumbers
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