Conversation so far:
To what degree was his influence on language of thought?
the world is presented in a kaleidoscope flux of impressions which has to be organized by our minds.
What was his influence?
If read superficially, some of Whorf's statements lend themselves to the interpretation that he supported linguistic determinism.
Tell me more about his ideas?
the world is presented in a kaleidoscope flux of impressions which has to be organized by our minds--and this means largely by the linguistic systems of our minds.
Are there any other interesting aspects about this article?
Whorf is writing about the terms in which we speak of the world, not the terms in which we think of it.
What does he say about how we speak of the world?
Whorf noted that to communicate thoughts and experiences with members of a speech community speakers must use the linguistic categories of their shared language.
What were the categories?
categories of their shared language, which requires moulding experiences into the shape of language to speak them.

Question: tell me more about his theory?
Self-contained rewrite: tell me more about categories of shared language theory