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I believe that ideas such as absolute certitude, absolute exactness, final truth, etc. are figments of the imagination which should not be admissible in any field of science... This loosening of thinking seems to me to be the greatest blessing which modern science has given to us. For the belief in a single truth and in being the possessor thereof is the root cause of all evil in the world.

There are two objectionable types of believers: those who believe the far-fetched, and those who believe that 'belief' must be discarded and replaced by the 'scientific method.' Between these two extremes there is enough scope for believing the reasonable and reasoning on sound beliefs.

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The scientist's urge to investigate, like the faith of the devout or the inspiration of the artist, is an expression of mankind's longing for something fixed, something at rest in the universal whirl: God, Beauty, Truth. Truth is what the scientist aims at. He finds nothing at rest, nothing enduring, in the universe. Not everything is knowable, still less predictable. But the mind of man is capable of grasping and understanding at least a part of Creation; amid the flight of phenomena stands the immutable pole of law.

To come now to the last point: can we call something with which the concepts of position and motion cannot be associated in the usual way, a thing, or a particle? And if not, what is the reality which our theory has been invented to describe?

The answer to this is no longer physics, but philosophy, and to deal with it thoroughly would mean going far beyond the bounds of this lecture. I have given my views on it elsewhere. Here I will only say that I am emphatically in favour of the retention of the particle idea. Naturally, it is necessary to redefine what is meant. For this, well-developed concepts are available which appear in mathematics under the name of invariants in transformations. Every object that we perceive appears in innumerable aspects. The concept of the object is the invariant of all these aspects. From this point of view, the present universally used system of concepts in which particles and waves appear simultaneously, can be completely justified. The latest research on nuclei and elementary particles has led us, however, to limits beyond which this system of concepts itself does not appear to suffice.

The lesson to be learned from what I have told of the origin of quantum mechanics is that probable refinements of mathematical methods will not suffice to produce a satisfactory theory, but that somewhere in our doctrine is hidden a concept, unjustified by experience, which we must eliminate to open up the road.

I have tried to read philosophers of all ages and have found many illuminating ideas but no steady progress toward deeper knowledge and understanding. Science, however, gives me the feeling of steady progress: I am convinced that theoretical physics is actual philosophy. It has revolutionized fundamental concepts, e.g., about space and time (relativity), about causality (quantum theory), and about substance and matter (atomistics), and it has taught us new methods of thinking (complementarity) which are applicable far beyond physics.

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The dance of atoms, electrons and nuclei, which in all its fury is subject to God's eternal laws, has been entangled with another restless Universe which may well be the Devil's: the human struggle for power and domination, which eventually becomes history. My optimistic enthusiasm about the disinterested search for truth has been severely shaken. I wonder at my simplemindedness when I re-read what I said on the modern fulfilment of the alchemists dream: "Now however, the motive is not the lust for gold, cloaked by the mystery of magic arts, but the scientists' pure curiosity. For it is clear from the beginning that we may not expect wealth too." Gold means power, power to rule and to have a big share in the riches of this world. Modern alchemy is even a short-cut to this end, it provides power directly; a power to dominate and to threaten and hurt on a scale never heard of before. And this power we have actually seen displayed in ruthless acts of warfare, in the devastation of whole cities and the destruction of their population.