The process of induction is the process of assuming the simplest law that can be made to harmonize with our experience.

Logic takes care of itself; all we have to do is to look and see how it does it.

A logical picture of facts is a thought.

Philosophy limits the thinkable and therefore the unthinkable.

Ethics and aesthetics are one.

We regard the photograph, the picture on our wall, as the object itself (the man, landscape, and so on) depicted there. This need not have been so. We could easily imagine people who did not have this relation to such pictures. Who, for example, would be repelled by photographs, because a face without color and even perhaps a face in reduced proportions struck them as inhuman.

Mathematics is a logical method. . . . Mathematical propositions express no thoughts. In life it is never a mathematical proposition which we need, but we use mathematical propositions only in order to infer from propositions which do not belong to mathematics to others which equally do not belong to mathematics.