Combining Philosophers

Ideas for Hermarchus, Gottfried Leibniz and Nuel D. Belnap

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7 ideas

2. Reason / D. Definition / 1. Definitions
'Nominal' definitions just list distinguishing characteristics [Leibniz]
     Full Idea: A 'nominal' definition is nothing more than an enumeration of the sufficient distinguishing characteristics.
     From: Gottfried Leibniz (Reflections on Knowledge, Truth and Ideas [1684], p.284)
     A reaction: Not wholly clear. Are these actual distinguishing characteristics, or potential ones? Could DNA be part of a human's nominal definition (for an unidentified corpse, perhaps).
2. Reason / D. Definition / 3. Types of Definition
A nominal definition is of the qualities, but the real definition is of the essential inner structure [Leibniz]
     Full Idea: The essence of gold is what constitutes it and gives it the sensible qualities which let us recognize it and which make its nominal definition; but if we could explain this structure or inner constitution we would possess the real, causal definition.
     From: Gottfried Leibniz (New Essays on Human Understanding [1704], 3.03)
     A reaction: This is the view which I am championing, particularly in the role of explanation in the whole game. Explanation and understanding are the hallmarks of the discovery of a real essence. However, a falsehood may explain things well. Tricky.
2. Reason / D. Definition / 4. Real Definition
Definitions can only be real if the item is possible [Leibniz]
     Full Idea: Definitions to my mind are real, when one knows that the thing defined is possible; otherwise they are only nominal, and one must not rely on them.
     From: Gottfried Leibniz (Letters to Antoine Arnauld [1686], 1686.07.4/14 XI)
     A reaction: It is interesting that things do not have to actual to have real definitions. For Leibniz, what is possible will exist in the mind of God. For me what is possible will exist in the potentialities of the powers of what is actual.
One essence can be expressed by several definitions [Leibniz]
     Full Idea: Although a thing has only one essence, this can be expressed by several definitions.
     From: Gottfried Leibniz (New Essays on Human Understanding [1704], 3.03)
     A reaction: See Idea 12976 and Idea 12977 for a view which seems to conflict with this. He seemed to imply that once you identify the essence, the definitions converge, with multiple definitions being symptomatic of imperfect ideas of things.
If our ideas of a thing are imperfect, the thing can have several unconnected definitions [Leibniz]
     Full Idea: The result of having an imperfect idea of something is that the same subject admits of several mutually independent definitions: we shall sometimes be unable to derive one from another, or see in advance that they must belong to a single subject.
     From: Gottfried Leibniz (New Essays on Human Understanding [1704], 2.31)
     A reaction: See Idea 12975 for imperfect ideas of things. Obviously the idea is that perfect knowledge will converge on a single definition, which will pinpoint the essence of a thing, and then all explanations will flow. A nice addition to the Aristotelian view.
Real definitions, unlike nominal definitions, display possibilities [Leibniz]
     Full Idea: The real definition displays the possibility of the definiendum, and the nominal definition does not.
     From: Gottfried Leibniz (New Essays on Human Understanding [1704], 3.03)
     A reaction: This, I take it, is because the real definition indicates the actual powers of the thing, and not just the superficial characteristics. Is knowledge of powers identical with knowledge of possibilities?
2. Reason / D. Definition / 5. Genus and Differentia
Genus and differentia might be swapped, and 'rational animal' become 'animable rational' [Leibniz]
     Full Idea: The genus can very often be turned into the differentia, ...so that in place of saying that man is a 'reasonable animal' we could, if language permitted, say that man is an 'animable rational', a rational substance with animal nature.
     From: Gottfried Leibniz (New Essays on Human Understanding [1704], 3.03)
     A reaction: This is a very telling point which rather undermines any dogmatic approach to what Aristotle says about these sorts of definitions. I don't find this account of definitions very helpful anyway. Leibniz links it to the order of cataloguing.