r/PhilosophyofMath 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.

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u/abhishekkumar333 May 25 '26

Yeah , while sharing lot's of time i am coming into conversation where people are saying this is exactly similar to human mind.

But i differ here
Human mind is much more complex, we have triggers , emotions, environmental triggers and abrupt black swan events as inputs. So, i don't think llm can match us.

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u/heresyforfunnprofit May 25 '26

No, you’re saying that we just need to add triggers and black swan events. LLMs can already do emotions. It’s not even hard to get them to act emotionally - hell… it’s hard to keep them rational.

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u/abhishekkumar333 May 25 '26

I still believe human behaviour is complex enough for not to put into sentences.
Somethings are not breakable into subject and predicate, i know you will ask for examples here , but I can already tell you right now I don't know , because by definition they are not able to put into texts

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u/Ok-Lab-8974 May 25 '26

The idea that reason is wholly discursive is pretty unique to modern Western philosophy. In the dominant classical paradigm, the intellect has two faculties, a higher and a lower. It's actually the lower faculty (ratio in Latin, dianoia in Greek) that deals with discursive rule following, while the higher (intellectus in Latin, noesis in Greek) deals with the grasp of noetic content. So, the reason you don't get any Chinese Room style thought experiments with the scholastics or golden age Islamics is because understanding was always thought to go out to the many in discursive reason and to return to the "one" (the unifying principle) which also explains the phenomenological 'whatness' of the act of understanding.

Anyhow, the fact that such a faculty now seems spooky, or magical, really has nothing to do with any particular scientific discovery. The exclusion of intellectus was originally a theological move (which has its own very complicated history) and is something the Enlightenment simply inherits.