Proof in Specialist Maths - Explaining the Basics

This video introduces the Logic and Proof concepts in VCE Specialist Mathematics (2023 - 2027):
• conjecture - making a statement to be proved or disproved
• implications, equivalences and if and only if statements
• natural deduction and proof techniques: direct proofs using a sequence of direct implications, proof by cases, proof by contradiction, and proof by contrapositive
• quantifiers ‘for all’ and ‘there exists’, examples and counter-examples
• proof by mathematical induction.
Music:
The Success by Keys of Moon | / keysofmoon
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Warm Memories - Emotional Inspiring Piano by Keys of Moon | / keysofmoon
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