Combining Texts

All the ideas for 'The Value of Science', 'A Short History of Ethics' and 'Axiomatic Thought'

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18 ideas

1. Philosophy / B. History of Ideas / 4. Early European Thought
In the Reformation, morality became unconditional but irrational, individually autonomous, and secular [MacIntyre]
     Full Idea: Three concepts about morality emerge from the Reformation period: that moral rules are unconditional demands that lack rational justification; that moral agents are sovereign in choices; and that secular powers have their own norms and justifications.
     From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch.10)
     A reaction: I get the impression that a rather frank admission of the role of self-interest emerged at that time as well. It is only in the late seventeenth century that the possibility of a secular altruism begins to be investigated. But there's Shakespeare...
1. Philosophy / B. History of Ideas / 5. Later European Thought
The Levellers and the Diggers mark a turning point in the history of morality [MacIntyre]
     Full Idea: The Levellers and the Diggers mark a turning point in the history of morality.
     From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch.11)
     A reaction: John Lilburne, the Leveller, 'Free-Born John', was the most important of them. They mainly fought for rights of religious conscience, but it quickly escalated into a demand for economic and social rights. It spread to France and the United States.
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The facts of geometry, arithmetic or statics order themselves into theories [Hilbert]
     Full Idea: The facts of geometry order themselves into a geometry, the facts of arithmetic into a theory of numbers, the facts of statics, electrodynamics into a theory of statics, electrodynamics, or the facts of the physics of gases into a theory of gases.
     From: David Hilbert (Axiomatic Thought [1918], [03])
     A reaction: This is the confident (I would say 'essentialist') view of axioms, which received a bit of a setback with Gödel's Theorems. I certainly agree that the world proposes an order to us - we don't just randomly invent one that suits us.
Axioms must reveal their dependence (or not), and must be consistent [Hilbert]
     Full Idea: If a theory is to serve its purpose of orienting and ordering, it must first give us an overview of the independence and dependence of its propositions, and second give a guarantee of the consistency of all of the propositions.
     From: David Hilbert (Axiomatic Thought [1918], [09])
     A reaction: Gödel's Second theorem showed that the theory can never prove its own consistency, which made the second Hilbert requirement more difficult. It is generally assumed that each of the axioms must be independent of the others.
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
To decide some questions, we must study the essence of mathematical proof itself [Hilbert]
     Full Idea: It is necessary to study the essence of mathematical proof itself if one wishes to answer such questions as the one about decidability in a finite number of operations.
     From: David Hilbert (Axiomatic Thought [1918], [53])
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert]
     Full Idea: The linearity of the equation of the plane and of the orthogonal transformation of point-coordinates is completely adequate to produce the whole broad science of spatial Euclidean geometry purely by means of analysis.
     From: David Hilbert (Axiomatic Thought [1918], [05])
     A reaction: This remark comes from the man who succeeded in producing modern axioms for geometry (in 1897), so he knows what he is talking about. We should not be wholly pessimistic about Hilbert's ambitious projects. He had to dig deeper than this idea...
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Number theory just needs calculation laws and rules for integers [Hilbert]
     Full Idea: The laws of calculation and the rules of integers suffice for the construction of number theory.
     From: David Hilbert (Axiomatic Thought [1918], [05])
     A reaction: This is the confident Hilbert view that the whole system can be fully spelled out. Gödel made this optimism more difficult.
15. Nature of Minds / A. Nature of Mind / 2. Psuche
When Aristotle speaks of soul he means something like personality [MacIntyre]
     Full Idea: When Aristotle speaks of the soul we could very often retain his meaning by speaking of personality.
     From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch. 7)
     A reaction: MacIntyre contrasts this strongly with Plato's dualist view. Famously Aristotle thinks the soul is the 'form' of the body, but this implies that he also includes the higher-level functions of the body. Soul is character?
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Sophists don't distinguish a person outside one social order from someone outside all order [MacIntyre]
     Full Idea: The sophist tradition failed to distinguish the difference between the concept of a man who stands outside and is able to question the conventions of some one given social order, and the concept of a man who stands outside social life as such.
     From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch. 3)
     A reaction: A very nice distinction. Compare foreigners in Athens with Diogenes of Sinope, who renounced all cities. This is the germ of MacIntyre's view that morality is essentially dependent on some sort of social order. He is a reviver of virtue theory.
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
The value/fact logical gulf is misleading, because social facts involve values [MacIntyre]
     Full Idea: One reason why it is highly misleading to talk of a logical gulf between value and fact....is that we cannot characterize the social life of a tribe in their factual terms and escape their evaluations.
     From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch.10)
     A reaction: Personally I like the objection that facts about functions cannot avoid the value of good functions, but this is very good. It is much better than simply trying to find a specific counterexample, such as facts about promises. Values just are facts.
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
'Happiness' is a bad translation of 'eudaimonia', which includes both behaving and faring well [MacIntyre]
     Full Idea: The name 'eudaimonia' is badly but inevitably translated by 'happiness', badly because it includes both the notion of behaving well and the notion of faring well.
     From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch. 7)
     A reaction: This seems to imply that it does not include the notion of feeling good. Aristotle, however, concludes that pleasure is part of eudaimonia. I take our 'happiness' to be an internal notion, while the Greek word is an external notion.
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
'Dikaiosune' is justice, but also fairness and personal integrity [MacIntyre]
     Full Idea: The Greek 'dikaiosune' is inadequately translated as 'justice', but also as any other word; it combines the notion of fairness in externals with that of personal integrity in a way that no English word does.
     From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch. 1)
     A reaction: 'Dikaiosune' is said to be the main topic of Plato's 'Republic'. Plato seems to have meant it to cover whatever makes a good character. Justice in behaviour presumably flows from internal justice of character (which is, roughly, inner harmony).
23. Ethics / D. Deontological Ethics / 2. Duty
My duties depend on my identity, which depends on my social relations [MacIntyre]
     Full Idea: I cannot answer the question 'What ought I to do?' until I have answered the question 'Who am I?', and any answer to this question will specify my place in a nexus of social relationships.
     From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch.13)
     A reaction: This is the beginning of the modern critique of deontological ethics coming from revived virtue theory. As it stands, MacIntyre's idea sounds contractual, but I think he intends it in a more organic way. I am a fan.
24. Political Theory / A. Basis of a State / 3. Natural Values / a. Natural freedom
I am naturally free if I am not tied to anyone by a contract [MacIntyre]
     Full Idea: The essence of the claim to natural rights is that no one has a right against me unless he can cite some contract, my consent to it, and his performance of his obligations under it.
     From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch.11)
     A reaction: This has become the foundation of western democracy, and the rebellious teenager's charter. Children have not consented to a contract with their parents. Close and loving relationships cease to be contractual.
25. Social Practice / C. Rights / 1. Basis of Rights
Fans of natural rights or laws can't agree on what the actual rights or laws are [MacIntyre]
     Full Idea: It is notorious that adherents of theories about natural rights or natural laws offer lists of rights or laws which differ in substance from each other.
     From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch.17)
     A reaction: There seems to have been a consensus early on that self-defence was a natural right, but divergence presumably occurs when you get bolder and more complex. There is a lot of divergence over which is Shakespeare's best play.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert]
     Full Idea: By pushing ahead to ever deeper layers of axioms ...we also win ever-deeper insights into the essence of scientific thought itself, and become ever more conscious of the unity of our knowledge.
     From: David Hilbert (Axiomatic Thought [1918], [56])
     A reaction: This is the less fashionable idea that scientific essentialism can also be applicable in the mathematic sciences, centring on the project of axiomatisation for logic, arithmetic, sets etc.
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré]
     Full Idea: In Poincaré's view, we try to construct a language within which the brute facts of experience are expressed as comprehensively and as elegantly as possible. The job of science is the forging of a language precisely suited to that purpose.
     From: report of Henri Poincaré (The Value of Science [1906], Pt III) by Rom Harré - Laws of Nature 2
     A reaction: I'm often struck by how obscure and difficult our accounts of self-evident facts can be. Chairs are easy, and the metaphysics of chairs is hideous. Why is that? I'm a robust realist, but I like Poincaré's idea. He permits facts.
29. Religion / B. Monotheistic Religion / 5. Bible
The Bible is a story about God in which humans are incidental characters [MacIntyre]
     Full Idea: The Bible is a story about God in which human beings appear as incidental characters.
     From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch. 9)
     A reaction: Very illuminating. He creates man, is betrayed by man, drowns him and starts again, sends a redeemer who gets murdered, and finally enlightens a small band who continue the uphill struggle to promote God's way. What next?