Nothing is accomplished all at once, and it is one of my great maxims, and one of the most completely verified, that Nature makes no leaps: a maxim which I have called the law of continuity.

I do not conceive of any reality at all as without genuine unity.

Nothing is more important than to see the sources of invention which are, in my opinion more interesting than the inventions themselves.

Music is a secret and unconscious mathematical problem of the soul.

When a truth is necessary, the reason for it can be found by analysis, that is, by resolving it into simpler ideas and truths until the primary ones are reached. It is this way that in mathematics speculative theorems and practical canons are reduced by analysis to definitions, axioms and postulates.

Indeed in general I hold that there is nothing truer than happiness, and nothing happier and sweeter than truth.

The dot was introduced as a symbol for multiplication by Leibniz. On July 29, 1698, he wrote in a letter to Johann Bernoulli: "I do not like X as a symbol for multiplication, as it is easily confounded with x.