For things remain possible, even if God does not choose them. Indeed, even if God does not will something to exist, it is possible for it to exist, since, by its nature, it could exist if God were to will it to exist.
Gottfried LeibnizThe pleasure we obtain from music comes from counting, but counting unconsciously. Music is nothing but unconscious arithmetic.
Gottfried LeibnizIt is a good thing to proceed in order and to establish propositions. This is the way to gain ground and to progress with certainty.
Gottfried LeibnizThere are also two kinds of truths, those of reasoning and those of fact. Truths of reasoning are necessary and their opposite is impossible, and those of fact are contingent and their opposite is possible. When a truth is necessary its reason can be found by analysis, resolving it into more simple ideas and truths until we reach those which are primitive.
Gottfried Leibniz