[Verse 1]
When logic flips the universal claim
"Not all cats purr" becomes the game
Something exists that breaks the mold
One silent feline breaks the hold
Negation turns the whole around
Where exceptions can be found
[Chorus]
Flip the not, switch the sign
Universal becomes existential line
Not for all means one breaks free
Not exists means none you'll see
Quantifiers dance and trade their place
When negation shows its face
[Verse 2]
"Nothing glows" means every single thing
Stays dark without that golden ring
But swap the order, change the rule
Nested quantifiers play by different tool
For every x there's bigger y
Depends on what you specify
[Chorus]
Flip the not, switch the sign
Universal becomes existential line
Not for all means one breaks free
Not exists means none you'll see
Quantifiers dance and trade their place
When negation shows its face
[Bridge]
Order matters when they nest
First you pick, then I suggest
But if I claim one works for all
That's a much more daring call
Real numbers have no ceiling height
But no single peak in sight
[Verse 3]
De Morgan's laws in logic dress
Transform the mess to something less
Parentheses protect the scope
While negation cuts the rope
Every statement has its twin
When the opposite walks in
[Chorus]
Flip the not, switch the sign
Universal becomes existential line
Not for all means one breaks free
Not exists means none you'll see
Quantifiers dance and trade their place
When negation shows its face
[Outro]
Mathematics speaks in precise tongue
Where every symbol must be sung
In perfect order, clear and true
Negation's magic waits for you