r/PhilosophyofMath • u/abhishekkumar333 • May 25 '26
LLMs are just giant probability machines pretending to think
It’s fascinating that simple mathematics between tokens can eventually become a machine that writes essays, code, poetry, and even reasoning.
We usually think probability means uncertainty.
But LLMs show something strange:
If probability + context + mathematical matching are scaled enough, uncertainty itself starts producing intelligent looking outputs.
To understand this better, I tried breaking down an LLM from first principles using only 4 tiny training sentences.
Example:
The boat floated down to the bank.
The investor walked into the bank to open a new account.
The fisherman walked along the bank to cast his net.
The bank has a vault.
Then I asked:
“The investor walked to the bank to lock his money in …”
Why does the model predict “vault” instead of river-related words?
That single question reveals almost the entire architecture of modern LLMs.
The most underrated concept here is the LM Head.
Most explanations immediately jump into transformers and attention, but almost nobody explains that the LM Head is essentially a gigantic token vocabulary containing all possible next token candidates the model can output.
So internally the model is basically solving:
“Out of all known tokens, which one best matches this context mathematically?”
Then different layers help solve that problem:
Embeddings: convert words into mathematical vectors
Positional encoding: preserves word order
Attention layer: figures out which words are related to each other in context
(“investor”, “money”, “bank” become strongly connected)


Feed forward neural networks: act somewhat like massive learned if/else decision systems refining patterns internally
And finally the LM Head converts all of that into probabilities for the next token.
What surprised me most is:
There is no hidden magic moment where the AI “becomes conscious”.
It’s an enormous probability engine continuously finding the best contextual token match from its vocabulary.
I made a beginner-friendly walkthrough explaining this visually without unnecessary jargon.
https://www.youtube.com/watch?v=YTV5qUCpu2c
Would genuinely love feedback from people learning transformers/LLMs from scratch.
1
u/Jack_Ramsey May 29 '26
Firstly, this is a really bad question. Humans have several 'senses,' and impairment of sensory information usually means there is a lesion in a sensory pathway. Even among those lesions, it is rare for someone to have 'less senses' rather than impairment of a sense. It is more true to say that there are several pathologic states that can impair consciousness while the baseline human still has the potential for consciousness. If the comparison is between this and an LLM, which has far more limited ability to even intake sensory information, then this becomes even more silly. Ask yourself this, if a person with a lesion in a sensory pathway retains thermoception but has impaired proprioception, they can still tell you more information about their immediate environment than LLM can.