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12978 | A perfect idea of an object shows that the object is possible [Leibniz] |
Full Idea: One mark of a perfect idea is that it shows conclusively that the object is possible. | |
From: Gottfried Leibniz (New Essays on Human Understanding [1704], 2.31) | |
A reaction: Subtle but nice. My favourite example would be that the perfect idea of a bonfire on the Moon shows that it is not possible. Essence reveals necessity, as Aristotle and Kit Fine claim. A perfect idea has a single definition. |
17079 | Proofs of necessity come from the understanding, where they have their source [Leibniz] |
Full Idea: The fundamental proof of necessary truths comes from the understanding alone, and other truths come from experience or from observations of the senses. Our mind is capable of knowing truths of both sorts, but it is the source of the former. | |
From: Gottfried Leibniz (New Essays on Human Understanding [1704], 1.01) | |
A reaction: Interesting because it not only spells out that necessary truths are known a priori, but also explicitly says that the understanding is the 'source' of the truths, or at least the source of their proofs. He also says possibilities derive from essences. |