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All the ideas for 'Philosophy of Mathematics', 'A World of Dispositions' and 'Straw Dogs'

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15 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Human knowledge may not produce well-being; the examined life may not be worth living [Gray]
     Full Idea: Human knowledge is one thing, human well-being another. There is no predetermined harmony between the two. The examined life may not be worth living.
     From: John Gray (Straw Dogs [2002], 1.9)
     A reaction: John Gray has set himself up as the Eeyore of modern times, but this point may obviously be correct. Presumably Socrates meant that the examined life was better even if the result was less 'well-being'. Even Gray doesn't want a lobotomy.
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
     Full Idea: Definitions are called 'predicative', and are considered sound, if they only refer to entities which exist independently from the defined collection.
     From: Leon Horsten (Philosophy of Mathematics [2007], §2.4)
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
     Full Idea: If a theory has, up to isomorphism, exactly one model, then it is said to be 'categorical'.
     From: Leon Horsten (Philosophy of Mathematics [2007], §5.2)
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
     Full Idea: Mathematicians are uncomfortable with computerised proofs because a 'good' proof should do more than convince us that a certain statement is true. It should also explain why the statement in question holds.
     From: Leon Horsten (Philosophy of Mathematics [2007], §5.3)
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
     Full Idea: The notion of an ordinal number is a set-theoretic, and hence non-arithmetical, concept.
     From: Leon Horsten (Philosophy of Mathematics [2007], §2.3)
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / e. Dispositions as potential
All structures are dispositional, objects are dispositions sets, and events manifest dispositions [Fetzer]
     Full Idea: I propose a dispositional ontology for the physical world, according to which a) every structural property is a dispositional one, b) a physical object is an ordered set of dispositions, and c) every event manifests a dispositional property of the world.
     From: J.H. Fetzer (A World of Dispositions [1977], Intro)
     A reaction: Mumford says this is consistent with ontology as a way of describing the world, rather than being facts about the world. I like Fetzer's sketch, which sounds to have a lot in common with 'process philosophy'.
9. Objects / C. Structure of Objects / 1. Structure of an Object
All events and objects are dispositional, and hence all structural properties are dispositional [Fetzer]
     Full Idea: Every atomic event in the world's history is a manifestation of some dispositional property of the world and every physical object is an instantiation of some set of dispositions; hence, every structural property is dispositional in kind.
     From: J.H. Fetzer (A World of Dispositions [1977], 5)
     A reaction: I quite like this drastic view, but there remains the intuition that there must always be something which has the disposition. That may be because I have not yet digested the lessons of modern physics.
13. Knowledge Criteria / C. External Justification / 9. Naturalised Epistemology
Knowledge does not need minds or nervous systems; it is found in all living things [Gray]
     Full Idea: Knowledge does not need minds, or even nervous systems. It is found in all living things.
     From: John Gray (Straw Dogs [2002], 2.10)
     A reaction: I consider it a misnomer to call such things 'knowledge', for which I have much higher standards. Gray is talking about 'information'. Knowledge needs reasons, and possibility of error, not just anticipatory behaviour.
16. Persons / F. Free Will / 5. Against Free Will
The will hardly ever does anything; most of our life just happens to us [Gray]
     Full Idea: We think our actions express our decisions, but in nearly all of our life, willing decides nothing. We cannot wake up or fall asleep, remember or forget our dreams, summon or banish our thoughts, by deciding to do so.
     From: John Gray (Straw Dogs [2002], 2.12)
     A reaction: Gray's point does not rule out occasional total control over mental life, but his point is important. The traditional picture is of a life controlled, so the will is seen as at the centre of a person, but it just isn't the case.
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Nowadays we identify the free life with the good life [Gray]
     Full Idea: We do not value freedom more than people did in earlier times, but we have identified the good life with the chosen life.
     From: John Gray (Straw Dogs [2002], 3.13)
     A reaction: Interesting. This is Enlightenment liberalism gradually filtering down into common consciousness, especially via the hegemony of American culture. I sympathise the Gray; don't get me wrong, but I think freedom is overrated.
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
Kinds are arrangements of dispositions [Fetzer]
     Full Idea: Kinds of things are specific arrangements of dispositions.
     From: J.H. Fetzer (A World of Dispositions [1977], 2)
     A reaction: A 'disposition' doesn't seem quite the right word for what is basic to the physical world, though Harré and Madden make a good case for the 'fields' of physic being understood in that way. I prefer 'power', though that doesn't solve anything.
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
Lawlike sentences are general attributions of disposition to all members of some class [Fetzer]
     Full Idea: Lawlike sentences are conceived as logically general dispositional statements attributing permanent dispositional properties to every member of a reference class. ...Their basic form is that of subjunctive generalizations.
     From: J.H. Fetzer (A World of Dispositions [1977], 3)
     A reaction: I much prefer talk of 'lawlike sentences' to talk of 'laws'. At least they imply that the true generalisations about nature are fairly fine-grained. Why not talk of 'generalisations' instead of 'laws'? Fetzer wants dispositions to explain everything.
27. Natural Reality / G. Biology / 4. Ecology
Over forty percent of the Earth's living tissue is human [Gray]
     Full Idea: Humans co-opt over forty per cent of the Earth's living tissue.
     From: John Gray (Straw Dogs [2002], 4.15)
     A reaction: If you add our domestic animals, I understand that the figure goes up to 95 per cent! I take this to be virtually the only significant ecological fact - population, population, population. Why are there so many cars? So many carbon footprints?
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Without Christianity we lose the idea that human history has a meaning [Gray]
     Full Idea: For Christians, it is because they occur in history that the lives of humans have a meaning that the lives of other animals do not. ..If we truly leave Christianity behind, we must give up the idea that human history has a meaning.
     From: John Gray (Straw Dogs [2002], 2.3)
     A reaction: Interesting. Compare the dispute between 'whig' and 'tory' historians, the former of whom believe that history is going somewhere.
What was our original sin, and how could Christ's suffering redeem it? [Gray]
     Full Idea: No one can say what was humankind's original sin, and no one understands how the suffering of Christ can redeem it.
     From: John Gray (Straw Dogs [2002], 4.1)
     A reaction: This nicely articulates a problem that has half bothered me, but I have never put into words. I always assumed Eve committed the sin, and Adam cops the blame for not controlling his woman. Dying for our sins has always puzzled me.