[Verse 1] Deep in cerebral tissue lies a mathematical scheme Six layers stacked in columns, each a computational dream Pyramidal neurons firing in recurrent cascade flows Local gradients descending where the learning signal goes Biologically constrained but elegant in design These mini-networks process what your senses help define [Chorus] Cortical columns computing, distributing the load Small recurrent networks running biological code Composable and addressable, they work in harmony The mathematics of the mind, neuronal geometry Column by column, layer by layer Processing patterns everywhere [Verse 2] Part two reveals the magic of compositional might Projections weave between them like synaptic satellite Shared representational space where information flows Locally-aligned objectives, how the greater pattern grows Each column talks to others through axonal highways Building complex computations in a thousand different ways [Chorus] Cortical columns computing, distributing the load Small recurrent networks running biological code Composable and addressable, they work in harmony The mathematics of the mind, neuronal geometry Column by column, layer by layer Processing patterns everywhere [Verse 3] Selective addressability through sparse dimensional keys High-dimensional broadcast signals floating on the breeze Long-range projections seeking matches for their tune Thalamic gates controlling when the networks can commune Oscillations synchronizing, neuromodulators dance Only matching patterns get their computational chance [Verse 4] From sensory cortex parsing visual scenes so bright To prefrontal regions planning future moves just right Each columnar processor specialized for its domain Yet sharing common principles through evolution's gain Inhibitory circuits sculpting signals clean and clear While excitatory loops maintain what we hold dear [Bridge] From micro to macro, the architecture scales Each column a processor where biology never fails Gradient-based learning in wetware so refined The distributed masterpiece we call the human mind [Chorus] Cortical columns computing, distributing the load Small recurrent networks running biological code Composable and addressable, they work in harmony The mathematics of the mind, neuronal geometry Column by column, layer by layer Processing patterns everywhere [Outro] In cortical columns, mathematics comes alive Where neural computation helps consciousness thrive
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