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All the ideas for 'fragments/reports', 'The Roots of Romanticism' and 'Philosophy of Arithmetic'

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16 ideas

1. Philosophy / B. History of Ideas / 5. Later European Thought
Romanticism is the greatest change in the consciousness of the West [Berlin]
     Full Idea: Romanticism seems to me the greatest single shift in the consciousness of the West that has occurred.
     From: Isaiah Berlin (The Roots of Romanticism [1965], Ch.1)
     A reaction: Far be it from me to challenge Berlin on such things, but I think that the scientific revolution of the seventeenth century (though acting more slowly and less dramatically than romanticism) may well be more significant in the long run. Ideas filter down.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
0 is not a number, as it answers 'how many?' negatively [Husserl, by Dummett]
     Full Idea: Husserl contends that 0 is not a number, on the grounds that 'nought' is a negative answer to the question 'how many?'.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894], p.144) by Michael Dummett - Frege philosophy of mathematics Ch.8
     A reaction: I seem to be in a tiny minority in thinking that Husserl may have a good point. One apple is different from one orange, but no apples are the same as no oranges. That makes 0 a very peculiar number. See Idea 9838.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
Multiplicity in general is just one and one and one, etc. [Husserl]
     Full Idea: Multiplicity in general is no more than something and something and something, etc.; ..or more briefly, one and one and one, etc.
     From: Edmund Husserl (Philosophy of Arithmetic [1894], p.85), quoted by Gottlob Frege - Review of Husserl's 'Phil of Arithmetic'
     A reaction: Frege goes on to attack this idea fairly convincingly. It seems obvious that it is hard to say that you have seventeen items, if the only numberical concept in your possession is 'one'. How would you distinguish 17 from 16? What makes the ones 'multiple'?
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
Husserl said counting is more basic than Frege's one-one correspondence [Husserl, by Heck]
     Full Idea: Husserl famously argued that one should not explain number in terms of equinumerosity (or one-one correspondence), but should explain equinumerosity in terms of sameness of number, which should be characterised in terms of counting.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: [Heck admits he hasn't read the Husserl] I'm very sympathetic to Husserl, though nearly all modern thinking favours Frege. Counting connects numbers to their roots in the world. Mathematicians seem oblivious of such things.
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Husserl identifies a positive mental act of unification, and a negative mental act for differences [Husserl, by Frege]
     Full Idea: Husserl identifies a 'unitary mental act' where several contents are connected or related to one another, and also a difference-relation where two contents are related to one another by a negative judgement.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894], p.73-74) by Gottlob Frege - Review of Husserl's 'Phil of Arithmetic' p.322
     A reaction: Frege is setting this up ready for a fairly vicious attack. Where Hume has a faculty for spotting resemblances, it is not implausible that we should also be hard-wired to spot differences. 'You look different; have you changed your hair style?'
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
We clarify concepts (e.g. numbers) by determining their psychological origin [Husserl, by Velarde-Mayol]
     Full Idea: Husserl said that the clarification of any concept is made by determining its psychological origin. He is concerned with the psychological origins of the operation of calculating cardinal numbers.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894]) by Victor Velarde-Mayol - On Husserl 2.2
     A reaction: This may not be the same as the 'psychologism' that Frege so despised, because Husserl is offering a clarification, rather than the intrinsic nature of number concepts. It is not a theory of the origin of numbers.
18. Thought / E. Abstraction / 8. Abstractionism Critique
Psychologism blunders in focusing on concept-formation instead of delineating the concepts [Dummett on Husserl]
     Full Idea: Husserl substitutes his account of the process of concept-formation for a delineation of the concept. It is above all in making this substitution that psychologism is objectionable (and Frege opposed it so vehemently).
     From: comment on Edmund Husserl (Philosophy of Arithmetic [1894]) by Michael Dummett - Frege philosophy of mathematics Ch.2
     A reaction: While this is a powerful point which is a modern orthodoxy, it hardly excludes a study of concept-formation from being of great interest for other reasons. It may not appeal to logicians, but it is crucial part of the metaphysics of nature.
Husserl wanted to keep a shadowy remnant of abstracted objects, to correlate them [Dummett on Husserl]
     Full Idea: Husserl saw that abstracted units, though featureless, must in some way retain their distinctness, some shadowy remnant of their objects. So he wanted to correlate like-numbered sets, not just register their identity, but then abstractionism fails.
     From: comment on Edmund Husserl (Philosophy of Arithmetic [1894]) by Michael Dummett - Frege philosophy of mathematics Ch.12
     A reaction: Abstractionism is held to be between the devil and the deep blue sea, of depending on units which are identifiable, when they are defined as devoid of all individuality. We seem forced to say that the only distinction between them is countability.
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Most Enlightenment thinkers believed that virtue consists ultimately in knowledge [Berlin]
     Full Idea: What is common to most of the main thinker of the Enlightenment is the view that virtue consists ultimately in knowledge.
     From: Isaiah Berlin (The Roots of Romanticism [1965], Ch.2)
     A reaction: I have always found this view (which seems to originate with Socrates) rather sympathetic. What is so frustrating about cheerful optimists who smoke cigarettes is not the weakness of will or strong desires, but their apparent failure of understanding.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
The goal is rationality in the selection of things according to nature [Diogenes of Babylon, by Blank]
     Full Idea: Diogenes of Babylon defined the goal to be rationality in the selection and rejection of the things according to nature.
     From: report of Diogenes (Bab) (fragments/reports [c.180 BCE]) by D.L. Blank - Diogenes of Babylon
     A reaction: This captures the central Stoic idea quite nicely. 'Live according to nature', but this always meant 'live according to reason', because that is (as Aristotle had taught) the essence of our nature. This only makes sense if reason and nature coincide.
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
The good is what is perfect by nature [Diogenes of Babylon, by Blank]
     Full Idea: Diogenes of Babylon defined the good as what is perfect by nature.
     From: report of Diogenes (Bab) (fragments/reports [c.180 BCE]) by D.L. Blank - Diogenes of Babylon
     A reaction: This might come close to G.E. Moore's Ideal Utilitarianism, but its dependence on the rather uneasy of concept of 'perfection' makes it questionable. Personally I find it appealing. I wish we had Diogenes' explanation.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
If we are essentially free wills, authenticity and sincerity are the highest virtues [Berlin]
     Full Idea: Since (for romantics) we are wills, and we must be free, in the Kantian sense, controllable motives count more than consequences, and the greatest virtue of all is what existentialists call 'authenticity' and what romantics called 'sincerity'.
     From: Isaiah Berlin (The Roots of Romanticism [1965], Ch.6)
     A reaction: The case of the sincere or authentic Nazi shows the problems with this. However, I agree that sincerity is a key virtue, perhaps the crucial preliminary to all the other virtues. It is hard to imagine a flow of other virtues from an insincere person.
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Justice is a disposition to distribute according to desert [Diogenes of Babylon, by Blank]
     Full Idea: Diogenes of Babylon defined justice as the disposition which distributes to everyone what he deserves.
     From: report of Diogenes (Bab) (fragments/reports [c.180 BCE]) by D.L. Blank - Diogenes of Babylon
     A reaction: The questions that arise would be 'what does a new-born baby deserve?', and 'what do animals deserve?', and 'does the lowest and worst of criminals deserve anything at all?'
23. Ethics / D. Deontological Ethics / 2. Duty
The Greeks have no notion of obligation or duty [Berlin]
     Full Idea: There is an absence among the Greeks of a notion of obligation, and hence of duty, which is difficult to grasp for people who read the Greeks through spectacles partly affected by the jews.
     From: Isaiah Berlin (The Roots of Romanticism [1965], Ch.1)
     A reaction: This doesn't quite fit early section of 'Republic', in which morality is a mutual agreement not to do harm. Presumably the Greek word 'deon' refers to what needs to be done, rather than to anyone's obligation to do it(?). Contracts need duty? Cf. 4133
23. Ethics / F. Existentialism / 1. Existentialism
Central to existentialism is the romantic idea that there is nothing to lean on [Berlin]
     Full Idea: The central sermon of existentialism is essentially a romantic one, namely, that there is in the world nothing to lean on.
     From: Isaiah Berlin (The Roots of Romanticism [1965], Ch.6)
     A reaction: He tracks this back to Kant's view that our knowledge of the world arises out of our own minds. So what is there to lean on? Rational consistency? Natural human excellence? God? Pleasure? Anonymous duty? I like the second one.
29. Religion / B. Monotheistic Religion / 2. Judaism
Judaism and Christianity views are based on paternal, family and tribal relations [Berlin]
     Full Idea: The notion from which both Judaism and Christianity to a large degree sprang is the notion of family life, the relations of father and son, perhaps the relations of members of a tribe to one another.
     From: Isaiah Berlin (The Roots of Romanticism [1965], Ch.1)
     A reaction: He compares this with Plato's mathematical view of reality. Key stories would be Abraham and Isaac, and Jesus being the 'son' of God, which both touch the killing of the child. Berlin means that the universe is explained this way.