Combining Texts

Ideas for 'Topics', 'Human Nature' and 'Higher-Order Logic'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts


9 ideas

2. Reason / D. Definition / 1. Definitions
There can't be one definition of two things, or two definitions of the same thing [Aristotle]
     Full Idea: There cannot possibly be one definition of two things, or two definitions of the same thing.
     From: Aristotle (Topics [c.331 BCE], 154a11)
     A reaction: The second half of this is much bolder and more controversial, and plenty of modern thinkers would flatly reject it. Are definitions contextual, that is, designed for some specific human purpose. Must definitions be of causes?
Definitions are easily destroyed, since they can contain very many assertions [Aristotle]
     Full Idea: A definition is the easiest of all things to destroy; for, since it contains many assertions, the opportunities which it offers are very numerous, and the more abundant the material, the more quickly the reasoning can set to work.
     From: Aristotle (Topics [c.331 BCE], 155a03)
     A reaction: I quote this to show that Aristotle expected many definitions to be very long affairs (maybe even of book length?)
2. Reason / D. Definition / 5. Genus and Differentia
We describe the essence of a particular thing by means of its differentiae [Aristotle]
     Full Idea: We usually isolate the appropriate description of the essence of a particular thing by means of the differentiae which are peculiar to it.
     From: Aristotle (Topics [c.331 BCE], 108b05)
     A reaction: I take this to be important for showing the definition is more than mere categorisation. A good definition homes in the particular, by gradually narrowing down the differentiae.
The differentia indicate the qualities, but not the essence [Aristotle]
     Full Idea: No differentia indicates the essence [ti estin], but rather some quality, such as 'pedestrian' or 'biped'.
     From: Aristotle (Topics [c.331 BCE], 122b17)
     A reaction: We must disentangle this, since essence is what is definable, and definition seems to give us the essence, and yet it appears that definition only requires genus and differentia. Differentiae seem to be both generic and fine-grained. See Idea 12280!
In definitions the first term to be assigned ought to be the genus [Aristotle]
     Full Idea: In definitions the first term to be assigned ought to be the genus.
     From: Aristotle (Topics [c.331 BCE], 132a12)
     A reaction: We mustn't be deluded into thinking that nothing else is required. I take the increasing refinement of differentiae to be where the real action is. The genus gives you 70% of the explanation.
The genera and the differentiae are part of the essence [Aristotle]
     Full Idea: The genera and the differentiae are predicated in the category of essence.
     From: Aristotle (Topics [c.331 BCE], 153a19)
     A reaction: The definition is words, and the essence is real, so our best definition might not fully attain to the essence. Aristotle has us reaching out to the world through our definitions.
Differentia are generic, and belong with genus [Aristotle]
     Full Idea: The differentia, being generic in character, should be ranged with the genus.
     From: Aristotle (Topics [c.331 BCE], 101b18)
     A reaction: This does not mean that naming the differentia amounts to mere classification. I presume we can only state individual differences by using a language which is crammed full of universals.
'Genus' is part of the essence shared among several things [Aristotle]
     Full Idea: A 'genus' is that which is predicated in the category of essence of several things which differ in kind.
     From: Aristotle (Topics [c.331 BCE], 102a32)
     A reaction: Hence a genus is likely to be expressed by a universal, a one-over-many. A particular will be a highly individual collection of various genera, but what ensures the uniqueness of each thing, if they are indiscernible?
2. Reason / D. Definition / 6. Definition by Essence
The definition is peculiar to one thing, not common to many [Aristotle]
     Full Idea: The definition ought to be peculiar to one thing, not common to many.
     From: Aristotle (Topics [c.331 BCE], 149b24)
     A reaction: I take this to be very important, against those who think that definition is no more than mere categorisation. To explain, you must get down to the level of the individual. We must explain that uniquely docile tiger.