display all the ideas for this combination of texts
2 ideas
| 5053 | The instances confirming a general truth are never enough to establish its necessity [Leibniz] |
| Full Idea: All the instances which confirm a general truth, however numerous they may be, are not sufficient to establish the universal necessity of this same truth. | |
| From: Gottfried Leibniz (New Essays on Human Understanding [1704], Pref) | |
| A reaction: This is Leibniz's standardly rationalist view of induction. We can either say that induction is therefore inadequate, or (a better option) that there isn't much evidence for claims of necessity, and they must be treated with caution. |
| 12977 | We will only connect our various definitions of gold when we understand it more deeply [Leibniz] |
| Full Idea: We can define gold as the heaviest metal, or by assaying procedures, but only when men have penetrated more deeply into the nature of things will they be able to see why one belongs with the other. | |
| From: Gottfried Leibniz (New Essays on Human Understanding [1704], 2.31) | |
| A reaction: He mentions that geometry is different, because we do have perfect ideas of things. This is part of Leibniz's optimism about the future of science, in comparison with the surprising pessimism of the empiricists. See Idea 12976 and Idea 12975. |