The cognitive function that looks for the precision of words and thoughts is called "Introverted Thinking" (Ti). It is one of the eight cognitive functions described in Carl Jung's theory of personality typology and forms a key component of the Myers-Briggs Type Indicator (MBTI).
People who have a dominant or highly developed Introverted Thinking function tend to be analytical, logical, and focused on accuracy and precision. They are naturally drawn to examining ideas, concepts, and information in a systematic and critical manner. Ti users often enjoy clarifying language, refining definitions, and ensuring that their thoughts and ideas are coherent and internally consistent.
Introverted Thinking is often associated with the MBTI types INTP (Introverted, Intuitive, Thinking, Perceiving) and ISTP (Introverted, Sensing, Thinking, Perceiving). However, it's important to note that everyone uses all eight cognitive functions to some degree, with each person having a unique preference or order of dominance for these functions. Additionally, other personality models like the Big Five or the Enneagram may describe similar traits or tendencies related to precision and analytical thinking.