EO in his foot note on last page of the Eliphas Levi’s Paradoxes of the Highest Science says:
Let your exact science, so proud of her achievements and discoveries, remember that the grandest hypotheses - I mean those that have now become facts and undeniable truths - have all been guessed, were the results of spontaneous inspiration (or intuition) - never those of scientific induction.
Newton did not discover the law of Gravitation, that Law discovered him, dropping a visiting card as it were on his nose. Whence these sudden inspirations, these sudden rents of the veil of gross matter?
The physical Law of Archimedes was not accumulated little by little - it sprang into existence suddenly - so suddenly indeed that the Philosopher who was enjoying his bath at the time, sprang out of it and rushed about the streets of Syracuse like a madman, shouting, “Eureka, Eureka”.
Time and again, it has been mentioned in Theosophical literature that real secrets cannot be put into words. They have to be discovered by each one of us. We are all educated life long in following a system which takes you step by step. This we tend to apply to matters of spirit. Since some of the above instances show that spontaneous inspiration or intuition is what can really help us. Let us look at some pointers.
Beliefs, especially blind beliefs cloud our vision does not allow us to see truths even they are in front of us. Beliefs are one of the most difficult impediments to deal with. It was significant that one of the Adepts commented that A P Sinnett had no beliefs. That may be one of the reasons that the Adepts took the trouble to exchange correspondence with him. The next major component seem to be us and the world.
Levi states - When the world shall have learnt to love, the world will be saved. EO comments -
That is to say when love of self shall have given place to love of neighbor and of *all* neighbors.
This is nothing but Brotherhood which is the lynch pin of theosophy. The primary focus for most of us is ourself to the exclusion of rest of Humanity. That again acts as an impediment to inspiration or intuition.
Jiddu Krishnamurti, presenting this from another angle, has suggested that we should be very observant of what goes on within ourself including our thoughts and emotions etc. When such observation takes place, we are oblivious to our beliefs and self-centeredness.
Taking an overall view of the landscape can lead each one of us to discover spontaneously an understanding of ourself and our relationship to the world. This may be a lot better than any system we may come across.