The whole of mathematics consists in the organization of a series of aids to the imagination in the process of reasoning.
Alfred North WhiteheadPeople make the mistake of talking about 'natural laws.' There are no natural laws. There are only temporary habits of nature.
Alfred North WhiteheadWe think of the number "five" as applying to appropriate groups of any entities whatsoever - to five fishes, five children, five apples, five days... We are merely thinking of those relationships between those two groups which are entirely independent of the individual essences of any of the members of either group. This is a very remarkable feat of abstraction; and it must have taken ages for the human race to rise to it
Alfred North WhiteheadThe aim of science is to seek the simplest explanation of complex facts. We are apt to fall into the error of thinking that the facts are simple because simplicity is the goal of our quest. The guiding motto in the life of every natural philosopher should be ``Seek simplicity and distrust it.''
Alfred North Whitehead