Combining Texts

All the ideas for 'Philosophy of Mathematics', 'A World of Dispositions' and 'Intro to Classical Chinese Philosophy'

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11 ideas

1. Philosophy / B. History of Ideas / 2. Ancient Thought
The Dao (Way) first means the road, and comes to mean the right way to live [Norden]
     Full Idea: The 'Dao' (tr 'Way) has five meanings: 1) path or road, 2) mode of doing something, 3) account of how to do something, 4) the right way to live, and 5) the ultimate metaphysical entity responsible for nature, and how it should be.
     From: Bryan van Norden (Intro to Classical Chinese Philosophy [2011], 1.III)
     A reaction: [compressed] So it is essentially metaphorical, just like the English 'way to do a thing'. Number 5 seems a rather large leap from the others, and most discussion seems to centre on number 4. The Chinese hoped for consensus on the Dao.
1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
The hermeneutic circle is either within the text, or between text and biased reader [Norden]
     Full Idea: The first type of hermeneutic circle operates inside the text, studying relationships between sentences. …The second type is between the text and the reader, …who brings assumptions about what it means.
     From: Bryan van Norden (Intro to Classical Chinese Philosophy [2011], App A.I)
     A reaction: The first kind is an essential aspect of reading well. Readers are biased, but I get very tired of those who do nothing but search for bias, and ignore the truth a text has to offer. If everything is bias, intellectual life is dead.
Heremeneutics is either 'faith' (examining truth) or 'suspicion' (looking for hidden motives) [Norden]
     Full Idea: A 'hermeneutics of faith' treat a text as a candidate for truth. ….A 'hermeneutics of suspicion' looks not for truth but for explanations of why someone makes certain claims, …particularly to serve their ulterior interests.
     From: Bryan van Norden (Intro to Classical Chinese Philosophy [2011], App I.1)
     A reaction: As far as I can see, the suspicious approach was a legitimate development in sociology, which studies the sources of ideas, but is absurdly offered by some philosophers as a total replacement of the faith approach.
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.
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.