This was tried. It was called APL.
http://en.wikipedia.org/wiki/APL_%28programming_language%29
It was very, very clever.
It was so clever hardly anyone understood it, and it's (mostly) forgotten.
Having said that - I kind of agree. It seems like most languages are attempts to:
1. Create a human-readable text-based representation of symbolic logic.
2. Chunk the symbolic logic in (hopefully) useful ways.
3. Cross-correlate symbolic levels, so at one extreme you have actual bytes in physical memory, at the other you have arbitrarily complex symbolic data structures.
4. Build simple error checking into the language so it's impossible to write obvious nonsense. (This includes, but isn't limited to, all type systems.)
5. Constrain the operations that are possible for similar reasons. ('State' etc.)
This is all more or less taken for granted. I'm not sure it should be. Basically it's a bottom-up approach to language design - reduce operations to binary algebra, add constraints.
But top-down languages like Prolog and (kind of...) Erlang try to do interesting, powerful, things, and have at least a few features that Just Work.
So I think the top-down approach is underexplored. There's a sweet spot between top-down simplicity, expressiveness with minimal cognitive load, and processing efficiency.
It's unlikely current syntax conventions are close to it.
I think most people know that languages are different points on various trade-off scales, so there will never be one single best language.
But more variety might not be a bad thing.