Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'The Roots of Romanticism' and 'Mathematical Truth'

unexpand these ideas     |    start again     |     specify just one area for these texts


11 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.
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic guides thinking, but it isn't a substitute for it [Rumfitt]
     Full Idea: Logic is part of a normative theory of thinking, not a substitute for thinking.
     From: Ian Rumfitt (The Logic of Boundaryless Concepts [2007], p.13)
     A reaction: There is some sort of logicians' dream, going back to Leibniz, of a reasoning engine, which accepts propositions and outputs inferences. I agree with this idea. People who excel at logic are often, it seems to me, modest at philosophy.
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematical truth is always compromising between ordinary language and sensible epistemology [Benacerraf]
     Full Idea: Most accounts of the concept of mathematical truth can be identified with serving one or another of either semantic theory (matching it to ordinary language), or with epistemology (meshing with a reasonable view) - always at the expense of the other.
     From: Paul Benacerraf (Mathematical Truth [1973], Intro)
     A reaction: The gist is that language pulls you towards platonism, and epistemology pulls you towards empiricism. He argues that the semantics must give ground. He's right.
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Realists have semantics without epistemology, anti-realists epistemology but bad semantics [Benacerraf, by Colyvan]
     Full Idea: Benacerraf argues that realists about mathematical objects have a nice normal semantic but no epistemology, and anti-realists have a good epistemology but an unorthodox semantics.
     From: report of Paul Benacerraf (Mathematical Truth [1973]) by Mark Colyvan - Introduction to the Philosophy of Mathematics 1.2
The platonist view of mathematics doesn't fit our epistemology very well [Benacerraf]
     Full Idea: The principle defect of the standard (platonist) account of mathematical truth is that it appears to violate the requirement that our account be susceptible to integration into our over-all account of knowledge.
     From: Paul Benacerraf (Mathematical Truth [1973], III)
     A reaction: Unfortunately he goes on to defend a causal theory of justification (fashionable at that time, but implausible now). Nevertheless, his general point is well made. Your theory of what mathematics is had better make it knowable.
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
     Full Idea: Vagueness in respect of membership is consistency with determinacy of the set's identity, so long as a set's identity is taken to consist, not in its having such-and-such members, but in its being the extension of a concept.
     From: Ian Rumfitt (The Logic of Boundaryless Concepts [2007], p.5)
     A reaction: I find this view of sets much more appealing than the one that identifies a set with its members. The empty set is less of a problem, as well as non-existents. Logicians prefer the extensional view because it is tidy.
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.
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 / 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.