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All the ideas for 'fragments/reports', 'Essence, Necessity and Explanation' and 'Elements of Intuitionism'

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12 ideas

2. Reason / D. Definition / 4. Real Definition
A successful Aristotelian 'definition' is what sciences produces after an investigation [Koslicki]
     Full Idea: My current use of the Aristotelian term 'definition' is intended to correspond to what is typically accessible to a scientist only at the end of a successful investigation into the nature of a particular phenomenon.
     From: Kathrin Koslicki (Essence, Necessity and Explanation [2012], 13.3.1)
     A reaction: It is crucial to understand that Aristotle's definitions could be several hundred pages long. It has nothing to do with dictionary definitions. He proposes 'nominal' and 'real' definitions.
2. Reason / D. Definition / 6. Definition by Essence
Essences cause necessary features, and definitions describe those necessary features [Koslicki]
     Full Idea: Since essences cause the other necessary features of a thing, so definitions, as the linguistic correlates of essences, explain, together with other axioms, the propositions describing those necessary features.
     From: Kathrin Koslicki (Essence, Necessity and Explanation [2012], 13.3.1)
     A reaction: This is nice and clear. Definitions are NOT essences - they are the linguistic correlates of essences, and mirror those essences. The necessary features are not the only things needing explanation. That picture is too passive.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]
     Full Idea: The platonist destroys the whole essence of infinity, which lies in the conception of a structure which is always in growth, precisely because the process of construction is never completed.
     From: Michael Dummett (Elements of Intuitionism [1977], p.57), quoted by Thomas J. McKay - Plural Predication
     A reaction: I don't warm to intuitionism, but I warm to this conception of infinity. Completed infinities are convenient reifications for mathematicians.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]
     Full Idea: For an intuitionist a mathematical statement is rendered true or false by a proof or disproof, that is, by a construction, and constructions are effected in time.
     From: Michael Dummett (Elements of Intuitionism [1977], p.336), quoted by Shaughan Lavine - Understanding the Infinite VI.2
     A reaction: Lavine is quoting this to draw attention to the difficulties of thinking of it as all taking place 'in time', especially when dealing with infinities.
9. Objects / D. Essence of Objects / 1. Essences of Objects
An essence and what merely follow from it are distinct [Koslicki]
     Full Idea: We can distinguish (as Aristotle and Fine do) between what belongs to the essence of an object, and what merely follows from the essence of an object.
     From: Kathrin Koslicki (Essence, Necessity and Explanation [2012], 13.1)
     A reaction: This can help to clarify the confusions that result from treating necessary properties as if they were essential.
9. Objects / D. Essence of Objects / 3. Individual Essences
Individuals are perceived, but demonstration and definition require universals [Koslicki]
     Full Idea: Individual instances of a kind of phenomenon, in Aristotle's view, can only be perceived through sense-perception; but they are not the proper subject-matter of scientific demonstration and definition.
     From: Kathrin Koslicki (Essence, Necessity and Explanation [2012], 13.3.1)
     A reaction: A footnote (11) explains that this is because they involve syllogisms, which require universals. I take Aristotle, and anyone sensible, to rest on individual essences, but inevitably turn to generic essences when language becomes involved.
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
If an object exists, then its essential properties are necessary [Koslicki]
     Full Idea: If an object has a certain property essentially, then it follows that the object has the property necessarily (if it exists).
     From: Kathrin Koslicki (Essence, Necessity and Explanation [2012], 13.2)
     A reaction: She is citing Fine, who says that the converse (necessity implying essence) is false. I agree with that. I also willing to challenge the first bit. I suspect an object can retain identity and lose essence. Coma patient; broken clock; aged athlete.
14. Science / A. Basis of Science / 2. Demonstration
In demonstration, the explanatory order must mirror the causal order of the phenomena [Koslicki]
     Full Idea: Demonstration encompasses more than deductive entailment, in that the explanatory order of priority represented in a successful demonstration must mirror precisely the causal order of priority present in the phenomena in question.
     From: Kathrin Koslicki (Essence, Necessity and Explanation [2012], 13.1)
     A reaction: She is referring to Aristotle's 'Posterior Analytics'. Put so clearly this sounds like an incredibly useful concept in discussing how we present good modern scientific explanations. Reinstating Aristotle is a major priority for philosophy!
In a demonstration the middle term explains, by being part of the definition [Koslicki]
     Full Idea: In a proper demonstrative argument, the middle term must be explanatory of the conclusion, in a very specific sense: the middle term must state what properly belongs to the definition of the kind of phenomenon in question.
     From: Kathrin Koslicki (Essence, Necessity and Explanation [2012], 13.3.1)
     A reaction: So 'All men are mortal, S is a man, so S is mortal'. The middle term is 'man', which gives a generic explanation for why S is mortal. Explanation as categorisation? I don't think this is the whole story of Aristotelian explanation.
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Greek uses the same word for 'cause' and 'explanation' [Koslicki]
     Full Idea: The Greek does not disambiguate between 'cause' and 'explanation', since the same terms ('aitia' and 'aition') can be translated in both ways.
     From: Kathrin Koslicki (Essence, Necessity and Explanation [2012], 13.3.1 n15)
     A reaction: This is essential information if we are to understand Aristotle's Four Causes, which are quite baffling if we take 'causes' in the modern way. The are the Four Modes of Explanation.
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Discovering the Aristotelian essence of thunder will tell us why thunder occurs [Koslicki]
     Full Idea: Both the question 'what is thunder?', and the question 'why does thunder occur?', for Aristotle, are answered simultaneously, once it has been discovered what the essence of thunder it, i.e. what it is to be thunder.
     From: Kathrin Koslicki (Essence, Necessity and Explanation [2012], 13.3.1 n10)
     A reaction: I take this idea to be pretty much the whole story about essences.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?