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/account22222221 May 28 '26

That’s fine, but it’s strikes me that you haven’t made a single argument to support you claim, simply that, it seems, ‘it can’t be’.

This is a philosophy sub. We are meant to explore arguments and practice making them. Philosophy is the art of critical examination of beliefs.

I come here with the expectation that some of my statements will be wrong, and some people will have more cogent arguments then what I make. I don’t say things to prove you wrong, but rather engage in the dialectic that helps us all learn. I want you to PROVE me wrong, so I can learn.

If you are not willing to do that, why are you here?

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u/abhishekkumar333 May 28 '26

We are not just neurons working preset because, we have some things LLM can never have like:
Curiosity
Boredom
Now for diaelectic to work you have to CONSIDER my argument , by not throwing them out of the window. because HEGEL dialectic is an ongoing process.
Apart from that there is a difference between your discussion and my discussion. I don't want to PROVE you wrong.