The death of the forest is the end of our life.
Topology is precisely the mathematical discipline that allows the passage from local to global.
I believe that proving is not a natural activity for mathematicians.
The purely formal language of geometry describes adequately the reality of space. We might say, in this sense, that geometry is successful magic. I should like to state a converse: is not all magic, to the extent that it is successful, geometry?
Catastrophe Theory is-quite likely-the first coherent attempt (since Aristotelian logic) to give a theory on analogy. When narrow-minded scientists object to Catastrophe Theory that it gives no more than analogies, or metaphors, they do not realise that they are stating the proper aim of Catastrophe Theory, which is to classify all possible types of analogous situations.
All models divide naturally. . . into two a priori parts: one is kinematics, whose aim is to parameterize the forms of the states of the process under consideration, and the other is dynamics, describing the evolution in time of these forms.
If one must choose between rigour and meaning, I shall unhesitatingly choose the latter.
The only failure one man should fear, is the failure to do his best.
Here lies Groucho Marx and Lies and Lies and Lies P. S. He never kissed an ugly girl.
I had an idea for a story about a young woman who was living with people who were different, not just superficially different - such as hair colour, or eye colour, or skin colour - but different in some significant way.
I think that Stevie Nicks is one of the greats. Steve Nicks and Grace Slick and Janis Joplin have the real rock voices, to me.