"The strange family resemblance of all Indian, Greek, and German philosophizing is explained easily enough. Where there is affinity of languages, it cannot fail, owing to the common philosophy of grammar - I mean, owing to the unconscious domination and guidance by similar grammatical functions - that everything is prepared at the outset for a similar developmnent and sequence of philosophical systems; just as the way seems barred against certain other possibilities of world-interpretation. It is highly probable that philosophers within the domain of the Ural-Altaic languages (where the concept of the subject is least developed) look otherwise "into the world", and will be found on paths of thought different from those of the Indo-Germanic peoples and the Muslims [...]" (Walter Kaufman's translation)If a community's grammar really does affect its worldview, two centuries of speculation have hardly brought us any nearer to proving it, much less figuring out how. The commonsense converse, that a community's worldview affects its grammar, is rather better supported. But this idea's attraction for intellectuals, I think, is basically technological: it holds out the promise of being able to change the way people think "just" by changing the way they talk, as envisioned for Newspeak and Láadan. Ironically, it's observably true that imposing a new language on a previously monolingual community usually implies major changes in the way they think - that's what happens when you introduce compulsory schooling - but that has less to do with the language than with the institutions diffusing it.
The technological question remains, then: can we redesign some aspects of our language to help us think more effectively?
For grammar, the answer is not obvious. For the lexicon, however, the answer is yes, and we do it all the time. If something seems to need a name, we give it one - "mouse" or "selfie". Sometimes we choose a name that transparently encodes an property of this item that's particularly important to remember - "henbane" or "fool's gold". Ask any taxonomist whether the existence and form of a name matters, or any mathematician whether all notations are equal.
But this isn't actually the shortcut that some science fiction would have us believe. Many readers probably know that "henbane" is some kind of plant, but couldn't identify it if it was sitting in front of them, much less take advantage of knowing the name to prevent some unfortunate fowl's death. Understanding a given domain requires you to have words for the items signified by its technical vocabulary, but the most important part of that is learning to identify and think about the referents. Hundreds of New Age texts attest to the fact that you can use the vocabulary of quantum mechanics without understanding the first thing about it.
This points the way towards a solution, but not a very linguistic one: If you want to make your language better for thinking with, then first learn to perceive and think about the world more clearly yourself, and then share what you learn (and the labels you've given to it) with other interested speakers. Make a point of spotting and labelling relevant differences between things or situations, and involve yourself in a wider range of situations than you're used to. A sign is a link between word and world - between the set of all possible combinations of phonemes, meaningless in themselves, and the set of everything the speaker has some idea how to recognise. Expanding the former is meaningless unless you're expanding the latter.