A Type 3 seeks to feel valuable through affirmation from others and from the sense of accomplishment of one's own goals.
Type 5's main goal is mastery-- the omnipotence of complete understanding in every situation, through analysis and finding of truth.
The difficulty is, for me, I see the finding of truth and social approval/real world accomplishment as synonymous, in that:
In my opinion, real world accomplishment/results is the only way to objectively prove one's understanding/mastery-- anything less seems hollow/self-serving, to analyze within one's own mind, however solid the chain of logic, may be biased or missing important information. Conversely I also believe that understanding/mastery of the big picture will inevitably lead to social approval/real world accomplishment, in that, if I am not succeeding in life, my understanding of myself and what I should be doing with my life is flawed. My desire to affirm my mastery for myself leads me to appeal to others in order to get real evidence of my understanding, and yet, my desire for real world accomplishments leads me to search for the truth in every situation. Its hard to decipher which desire reflects my ultimate goal in life.
So I was hoping someone could provide some illuminating real world ways to tell whether one is a Type 3 or Type 5 Enneagram.