[Verse 1] In the world of math there's a mystery to solve Every theorem's like a case that we must resolve We're detectives with our logic tools in hand Gathering clues to help us understand What do we know and what can we deduce? Every statement has to have its proper use [Chorus] AND gathers evidence piece by piece OR shows the paths that never cease NOT eliminates what can't be true IF-THEN follows leads right through IF AND ONLY IF delivers the verdict clear Logic is our detective gear [Verse 2] Start with premises, the facts that we can trust Build our argument with reasoning robust Each connection has to link from step to step No assumptions that we haven't properly kept Like a story with beginning, middle, end Every proof must on solid logic depend [Chorus] AND gathers evidence piece by piece OR shows the paths that never cease NOT eliminates what can't be true IF-THEN follows leads right through IF AND ONLY IF delivers the verdict clear Logic is our detective gear [Bridge] When we say "and" we need both things to hold When we say "or" just one makes us bold Negation flips the truth around Implication shows what can be found Biconditional means they're the same In this mathematical detective game [Verse 3] Every proof tells its story arc so clean From hypothesis to what the facts all mean We eliminate the false, embrace what's right Following clues until we see the light The narrative unfolds with perfect flow From what we assume to what we come to know [Final Chorus] AND gathers evidence piece by piece OR shows the paths that never cease NOT eliminates what can't be true IF-THEN follows leads right through IF AND ONLY IF delivers the verdict clear Logic is our detective gear Mathematics made crystal clear
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