[Verse 1]
They built a theory of conscious minds
With phi that measures integration's strength
But when you try to calculate the signs
The math explodes beyond computational length
NP-hard complexity consumes
Every circuit, every neural weave
What sounds profound in lecture rooms
Becomes intractable when you believe
[Chorus]
Phi's a phantom, hard to catch
Definitions shift and bend
Structural features shouldn't match
What consciousness should comprehend
Multiple ways to slice the code
Makes falsification fade
Down this integration road
Truth gets lost in math's parade
[Verse 2]
The unfolding argument reveals the flaw
Irrelevant structures drive the score
A simple grid might break the law
Of intuition's common core
High-phi systems, strange and lean
Could claim awareness through design
While complex brains remain unseen
Behind approximation's line
[Chorus]
Phi's a phantom, hard to catch
Definitions shift and bend
Structural features shouldn't match
What consciousness should comprehend
Multiple ways to slice the code
Makes falsification fade
Down this integration road
Truth gets lost in math's parade
[Bridge]
Phenomenology and phi dance apart
No derivation links the two
An assertion from the start
That correlation must be true
But when your theory can't be wrong
Because the measures bend and sway
The scientific method's song
Gets drowned in computational gray
[Verse 3]
Reductio whispers through the night
When photodiodes gain a soul
And simple circuits claim the right
To conscious experience's role
The counterintuitive maze
Where grids outshine a thinking brain
Should give us pause before we praise
Integration's complex chain
[Verse 4]
The axioms sound reasonable at first
Until you trace their implications through
Information integration, unrehearsed
Leads to consciousness in systems we never knew
From networks built of basic gates
To structures with no mind at all
The theory's reach overinflates
Beyond where common sense would call
[Chorus]
Phi's a phantom, hard to catch
Definitions shift and bend
Structural features shouldn't match
What consciousness should comprehend
Multiple ways to slice the code
Makes falsification fade
Down this integration road
Truth gets lost in math's parade
[Outro]
So when you hear of phi's bright promise
Remember computation's wall
The minuses hide beneath the gloss
Of theories that explain it all