Hence the ill effects of wrongly directed thought are in some degree mitigated in the great mass of mankind, and many causes are in operation to give a right direction to their thoughts, though the thinkers themselves are ignorant of what thought-power is. To give a right direction to the thoughts of ignorant thinkers is the purpose of much religious teaching, which these uninstructed ones must accept by faith in bare authority because they are unable to realise its true import. But notwithstanding the aids thus afforded to mankind, the general stream of unregulated thought cannot but have an adverse tendency, and hence the great object to which the instructed mind directs its power is to free itself from the entanglements of disordered thought, and to help others to do the same. To escape from this entanglement is to attain perfect Liberty, which is perfect Power. VI The entanglement from which we need to escape has its origin in the very same principle which gives rise to liberty and power. It is the same principle applied under inverted conditions. And here I would draw particular attention to the law that any sequence followed out in an inverted order must produce an inverted result, for this goes a long way to explain many of the problems of life. The physical world affords endless examples of the working of "inversion." In the dynamo the sequence commences with mechanical force which is ultimately transformed into the subtler power of electricity; but invert this order, commence by generating electricity, and it becomes converted into mechanical force, as in the motor. In the one order the rotation of a wheel produces electricity, and in the opposite order electricity produces the rotation of a wheel. Or to exhibit the same principle in the simplest arithmetical form, if 10÷2=5 then 10÷5=2. "Inversion" is a factor of the greatest magnitude and has to be reckoned with; but I must content myself here with only indicating the general principle that the same power is capable of producing diametrically opposite effects if it be applied under opposite conditions, a truth which the so-called "magicians" of the middle ages expressed by two triangles placed inversely to one another. We are apt to fall into the mistake of supposing that results of opposite character require powers of opposite character to produce them, and our conceptions of things in general become much simplified when we recognise that this is not the case, but that the same power will produce opposite results as it starts from opposite poles.