Gottfried Leibniz: Possibility

Gottfried Leibniz was German mathematician and philosopher. Explore interesting quotes on possibility.
Gottfried Leibniz: 58   quotes 8   likes

“Now, as there is an infinity of possible universes in the Ideas of God, and as only one of them can exist, there must be a sufficient reason for God's choice, which determines him toward one rather than another. And this reason can be found only in the fitness, or the degrees of perfection, that these worlds contain, since each possible thing has the right to claim existence in proportion to the perfection it involves.”

Gottfried Leibniz

Or, comme il y a une infinité d'univers possibles dans les idées de Dieu, et qu'il n'en peut exister qu'un seul, il faut qu'il y ait une raison suffisante du choix de Dieu qui le détermine à l'un plutôt qu'à l'autre. Et cette raison ne peut se trouver que dans la convenance, dans les degrés de perfection que ces mondes contiennent, chaque possible ayant droit de prétendre à l'existence à mesure de la perfection qu'il enveloppe.
La monadologie (53 & 54).
The Monadology (1714)

God , World , Idea , Universe

“Everything that is possible demands to exist.”

Gottfried Leibniz

Omne possibile exigit existere.
De veritatibus primis (1686)

“As regards the objection that possibles are independent of the decrees of God I grant it of actual decrees (although the Cartesians do not at all agree to this), but I maintain that the possible individual concepts involve certain possible free decrees; for example, if this world was only possible, the individual concept of a particular body in this world would involve certain movements as possible, it would also involve the laws of motion, which are the free decrees of God; but these, also, only as possibilities. Because, as there are an infinity of possible worlds, there are also an infinity of laws, certain ones appropriate to one; others, to another, and each possible individual of any world involves in its concept the laws of its world.”

Gottfried Leibniz

Gottfried Leibniz (May, 1686) as quoted in George R. Montgomery, Tr., "Correspondence between Leibniz and Arnauld," Leibniz: Discourse on metaphysics; correspondence with Arnauld, and Monadology https://books.google.com/books?id=5-IeAQAAMAAJ (1916) VIII, p. 108

God , World , Law

“There are two kinds of truths: those of reasoning and those of fact. The truths of reasoning are necessary and their opposite is impossible; the truths of fact are contingent and their opposites are possible.”

Gottfried Leibniz

Il y a aussi deux sortes de vérités, celles de Raisonnement et celle de Fait. Les vérités de Raisonnement sont nécessaires et leur opposé est impossible, et celles de Fait sont contingentes et leur opposé est possible.
La monadologie (33).
The Monadology (1714)

Truth