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All the ideas for 'On the Question of Absolute Undecidability', 'works' and 'Person and Object'

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40 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Many philosophers aim to understand metaphysics by studying ourselves [Chisholm]
     Full Idea: Leibniz, Reid, Brentano and others have held that, by considering certain obvious facts about ourselves, we can arrive at an understanding of the general principles of metaphysics. The present book is intended to confirm that view.
     From: Roderick Chisholm (Person and Object [1976], Intro 1)
     A reaction: I sympathise, but don't really agree. I see metaphysics as a process of filtering ourselves out of the picture, leaving an account of how things actually are.
1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
I use variables to show that each item remains the same entity throughout [Chisholm]
     Full Idea: My use of variables is not merely pedantic; it indicates that the various items on our list pertain to one and the same entity throughout.
     From: Roderick Chisholm (Person and Object [1976], Intro 2)
     A reaction: I am one of those poor souls who finds modern analytic philosophy challenging simply because I think in terms of old fashioned words, instead of thinking like mathematicians and logicians. This is a nice defence of their approach.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
     Full Idea: There are many coherent stopping points in the hierarchy of increasingly strong mathematical systems, starting with strict finitism, and moving up through predicativism to the higher reaches of set theory.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], Intro)
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
     Full Idea: Roughly speaking, 'reflection principles' assert that anything true in V [the set hierarchy] falls short of characterising V in that it is true within some earlier level.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 2.1)
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
     Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
     Full Idea: Some of the standard large cardinals (in order of increasing (logical) strength) are: inaccessible, Mahlo, weakly compact, indescribable, Erdös, measurable, strong, Wodin, supercompact, huge etc. (...and ineffable).
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
     A reaction: [I don't understand how cardinals can have 'logical strength', but I pass it on anyway]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
     Full Idea: To the extent that we are justified in accepting Peano Arithmetic we are justified in accepting its consistency, and so we know how to expand the axiom system so as to overcome the limitation [of Gödel's Second Theorem].
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.1)
     A reaction: Each expansion brings a limitation, but then you can expand again.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
     Full Idea: The arithmetical instances of undecidability that arise at one stage of the hierarchy are settled at the next.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Events are states of affairs that occur at certain places and times [Chisholm]
     Full Idea: We will restrict events to those states of affairs which occur at certain places and times.
     From: Roderick Chisholm (Person and Object [1976], 4.6)
     A reaction: If I say 'the bomb may explode sometime', that doesn't seem to refer to an event. Philosophers like Chisholm bowl along, defining left, right and centre, and never seem to step back from their system and ask obvious critical questions.
7. Existence / D. Theories of Reality / 9. States of Affairs
The mark of a state of affairs is that it is capable of being accepted [Chisholm]
     Full Idea: We will say that the mark of a state of affairs is the fact that it is capable of being accepted.
     From: Roderick Chisholm (Person and Object [1976], 4.2)
     A reaction: I find this a quite bewildering proposal. It means that it is impossible for there to be a state of affairs which is beyond human conception, but why commit to that?
A state of affairs pertains to a thing if it implies that it has some property [Chisholm]
     Full Idea: A state of affairs pertains to a thing if it implies the thing to have a certain property.
     From: Roderick Chisholm (Person and Object [1976], 1.4)
     A reaction: For this to work, we must include extrinsic and relational properties, and properties which are derived from mere predication. I think this is bad metaphysics, and leads to endless confusions.
I propose that events and propositions are two types of states of affairs [Chisholm]
     Full Idea: I will propose that events are said to constitute one type of states of affairs, and propositions another
     From: Roderick Chisholm (Person and Object [1976], 4.1)
     A reaction: I would much prefer to distinguish between the static and the dynamic, so we have a static or timeless state of affairs, and a dynamic event or process. Propositions I take to be neither. He really means 'facts', which subsume the whole lot.
8. Modes of Existence / B. Properties / 1. Nature of Properties
Some properties can never be had, like being a round square [Chisholm]
     Full Idea: There are properties which nothing can possibly have; an example is the property of being both round and square.
     From: Roderick Chisholm (Person and Object [1976], 4.2)
     A reaction: This is a rather bizarre Meinongian claim. For a start it sounds like two properties not one. Is there a property of being both 'over here' and 'over there'? We might say the round-square property must exist, for God to fail to implement it (?)
Some properties, such as 'being a widow', can be seen as 'rooted outside the time they are had' [Chisholm]
     Full Idea: Some properties may be said to be 'rooted outside the times at which they are had'. Examples are the property of being a widow and the property of being a future President.
     From: Roderick Chisholm (Person and Object [1976], 3.4)
     A reaction: This is the sort of mess you when you treat the category in which an object belongs as if it was one of its properties. We categorise because of properties.
8. Modes of Existence / B. Properties / 10. Properties as Predicates
If some dogs are brown, that entails the properties of 'being brown' and 'being canine' [Chisholm]
     Full Idea: The state of affairs which is some dogs being brown may be said to entail (make it necessarily so) the property of 'being brown', as well as the properties of 'being canine' and 'being both brown and canine'.
     From: Roderick Chisholm (Person and Object [1976], 1.4)
     A reaction: And the property of 'being such that it is both brown and canine and brown or canine'. Etc. This is dangerous nonsense. Making all truths entail the existence of some property means we can no longer get to grips with real properties.
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Maybe we can only individuate things by relating them to ourselves [Chisholm]
     Full Idea: It may well be that the only way we have, ultimately, of individuating anything is to relate it uniquely to ourselves.
     From: Roderick Chisholm (Person and Object [1976], 1.5)
     A reaction: I'm guessing that Chisholm is thinking of 'ourselves' as meaning just himself, but I'm thinking this is plausible if he means the human community. I doubt whether there is much a philosopher can say on individuation that is revealing or precise.
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
Being the tallest man is an 'individual concept', but not a haecceity [Chisholm]
     Full Idea: Being the tallest man and being President of the United States are 'individual concepts', but not haecceities.
     From: Roderick Chisholm (Person and Object [1976], 1.4)
     A reaction: Chisholm introduces this term, to help him explain his haecceity more clearly. (His proposal on that adds a lot of fog to this area of metaphysics).
A haecceity is a property had necessarily, and strictly confined to one entity [Chisholm]
     Full Idea: An individual essence or haecceity is a narrower type of individual concept. This is a property which is had necessarily, and which it is impossible for any other thing to have.
     From: Roderick Chisholm (Person and Object [1976], 1.4)
     A reaction: [Apologies to Chisholm for leaving out the variables from his definition of haecceity. See Idea 15802] See also Idea 15805. The tallest man is unique, but someone else could become the tallest man. No one else could acquire 'being Socrates'.
9. Objects / C. Structure of Objects / 7. Substratum
A peach is sweet and fuzzy, but it doesn't 'have' those qualities [Chisholm]
     Full Idea: Our idea of a peach is not an idea of something that 'has' those particular qualities, but the concrete thing that 'is' sweet and round and fuzzy.
     From: Roderick Chisholm (Person and Object [1976], 1.6)
     A reaction: This is the beginnings of his 'adverbial' account of properties, with which you have to sympathise. It tries to eliminate the possibility of some propertyless thing, to which properties can then be added, like sprinkling sugar on it.
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
If x is ever part of y, then y is necessarily such that x is part of y at any time that y exists [Chisholm, by Simons]
     Full Idea: Chisholm has an axiom: if x is a proper part of y, then necessarily if y exists then x is part of it. If x is ever part of y, they y is necessarily such that x is part of y at any time that y exists.
     From: report of Roderick Chisholm (Person and Object [1976], p.149) by Peter Simons - Parts 5.3
     A reaction: This is Chisholm's notorious mereological essentialism, that all parts are necessary, and change of part means change of thing. However, it looks to me more like a proposal about what properties are necessary, not what are essential.
9. Objects / D. Essence of Objects / 3. Individual Essences
A traditional individual essence includes all of a thing's necessary characteristics [Chisholm]
     Full Idea: According to the traditional account of individual essence, each thing has only one individual essence and it includes all the characteristics that the thing has necessarily.
     From: Roderick Chisholm (Person and Object [1976], 1.4)
     A reaction: Chisholm is steeped in medieval theology, but I don't think this is quite what Aristotle meant. Everyone nowadays has to exclude the 'trivial' necessary properties, for a start. But why? I'm contemplating things which survive the loss of their essence.
9. Objects / E. Objects over Time / 7. Intermittent Objects
Intermittence is seen in a toy fort, which is dismantled then rebuilt with the same bricks [Chisholm, by Simons]
     Full Idea: Chisholm poses the problem of intermittence with the case of a toy fort which is built from toy bricks, taken apart, and then reassembled with the same bricks in the same position.
     From: report of Roderick Chisholm (Person and Object [1976], p.90) by Peter Simons - Parts 5.3
     A reaction: You could strengthen the case, or the problem, by using those very bricks to build a ship during the interval. Or building a fort with a different design. Most people would be happy to say that same object (token) has been rebuilt.
9. Objects / F. Identity among Objects / 5. Self-Identity
The property of being identical with me is an individual concept [Chisholm]
     Full Idea: I wish to urge that the property of being identical with me is an individual concept.
     From: Roderick Chisholm (Person and Object [1976], 1.4)
     A reaction: I can just about live with the claim (for formal purposes) that I am identical with myself, but I strongly resist my then having a 'property' consisting of 'being identical with myself' (or 'not being identical with somone else' etc.).
9. Objects / F. Identity among Objects / 9. Sameness
There is 'loose' identity between things if their properties, or truths about them, might differ [Chisholm]
     Full Idea: I suggest that there is a 'loose' sense of identity that is consistent with saying 'A has a property that B does not have', or 'some things are true of A but not of B'.
     From: Roderick Chisholm (Person and Object [1976], 3.2)
     A reaction: He is trying to explicate Bishop Butler's famous distinction between 'strict and philosophical' and 'loose and popular' senses. We might want to claim that the genuine identity relation is the 'loose' one (pace the logicians and mathematicians).
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
Belief is no more rational than is tasting and smelling [Hamann]
     Full Idea: Belief happens as little in terms of reasons as tasting and smelling.
     From: J.G. Hamann (works [1770], v2:74), quoted by Andrew Bowie - Introduction to German Philosophy
     A reaction: That is one idea definitively expressed! I take it as only a partial truth. Beliefs happen as a result of observation and experience. But someone can draw our attention to something (and we can hunt it out ourselves), which is giving a reason for belief.
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
Do sense-data have structure, location, weight, and constituting matter? [Chisholm]
     Full Idea: Does a red sense-datum or appearance have a back side as well as a front? Where is it located? Does it have any weight? What is it made of?
     From: Roderick Chisholm (Person and Object [1976], 1.8)
     A reaction: A reductive physicalist like myself is not so troubled by questions like this, which smack of Descartes's non-spatial argument for dualism.
12. Knowledge Sources / B. Perception / 8. Adverbial Theory
'I feel depressed' is more like 'he runs slowly' than like 'he has a red book' [Chisholm]
     Full Idea: The sentences 'I feel depressed' and 'I feel exuberant' are related in the way in which 'He runs slowly' and 'He runs swiftly' are related, and not in the way in which 'He has a red book' and 'He has a brown book' are related.
     From: Roderick Chisholm (Person and Object [1976], 1.8)
     A reaction: Ducasse 1942 and Chisholm 1957 seem to be the sources of the adverbial theory. I gather Chisholm gave it up late in his career. The adverbial theory seems sort of right, but it doesn't illuminate what is happening.
If we can say a man senses 'redly', why not also 'rectangularly'? [Chisholm]
     Full Idea: If we say a man 'senses redly', may we also say that he 'senses rhomboidally' or 'senses rectangularly'? There is no reason why not.
     From: Roderick Chisholm (Person and Object [1976], 1.8)
     A reaction: This is Chisholm replying to one of the best known objections to the adverbial theory. Can we sense 'wobblyrhomboidallywithpinkdots-ly'? Can we perceive 'landscapely'? The problem is bigger than he thinks.
So called 'sense-data' are best seen as 'modifications' of the person experiencing them [Chisholm]
     Full Idea: We may summarise my way of looking at appearing by saying that so-called appearances or sense-data are 'affections' or 'modifications' of the person who is said to experience them.
     From: Roderick Chisholm (Person and Object [1976], 1.8)
     A reaction: Hm. That seems to transfer the ontological problem of the redness of the tomato from the tomato to the perceiver, but leave the basic difficulty untouched. I think we need to pull apart the intrinsic and subjective ingredients here.
14. Science / D. Explanation / 1. Explanation / a. Explanation
Explanations have states of affairs as their objects [Chisholm]
     Full Idea: I suggest that states of affairs constitute the objects of the theory of explanation.
     From: Roderick Chisholm (Person and Object [1976], 4.4)
     A reaction: It is good to ask what the constituents of a theory of explanation might be. He has an all-embracing notion of state of affairs, whereas I would say that events and processes are separate. See Idea 15828.
16. Persons / B. Nature of the Self / 3. Self as Non-physical
I am picked out uniquely by my individual essence, which is 'being identical with myself' [Chisholm]
     Full Idea: What picks me out uniquely, without relating me to some other being? It can only be the property of 'being me' or 'being identical with myself', which can only be an individual essence or haecceity, a property I cannot fail to have.
     From: Roderick Chisholm (Person and Object [1976], 1.5)
     A reaction: Only a philosopher (and a modern analytic one at that) would imagine that this was some crucial insight into how we know our own identities.
16. Persons / C. Self-Awareness / 3. Limits of Introspection
Sartre says the ego is 'opaque'; I prefer to say that it is 'transparent' [Chisholm]
     Full Idea: Sartre says the ego is 'opaque'; I would think it better to say that the ego is 'transparent'.
     From: Roderick Chisholm (Person and Object [1976], 1.8)
     A reaction: Insofar as we evidently have a self, I would say it is neither. It is directly experienced, through willing, motivation, and mental focus.
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
People use 'I' to refer to themselves, with the meaning of their own individual essence [Chisholm]
     Full Idea: Each person uses the first person pronoun to refer to himself, and in such a way that its reference (Bedeutung) is to himself and its intention (Sinn) is his own individual essence.
     From: Roderick Chisholm (Person and Object [1976], 1.5)
     A reaction: I think this is exactly right, and may be the basis of the way we essentialise in our understanding of the rest of reality. I have a strong notion of what is essential in me and what is not.
16. Persons / E. Rejecting the Self / 1. Self as Indeterminate
Bad theories of the self see it as abstract, or as a bundle, or as a process [Chisholm]
     Full Idea: Some very strange theories of the self suggest it is an abstract object, such as a class, or a property, or a function. Some theories imply that I am a collection, or a bundle, or a structure, or an event, or a process (or even a verb!).
     From: Roderick Chisholm (Person and Object [1976], Intro 4)
     A reaction: I certainly reject the abstract lot, but the second lot doesn't sound so silly to me, especially 'structure' and 'process'. I don't buy the idea that the Self is an indivisible monad. It is a central aspect of brain process - the prioritiser of thought.
16. Persons / F. Free Will / 5. Against Free Will
Determinism claims that every event has a sufficient causal pre-condition [Chisholm]
     Full Idea: Determinism is the proposition that, for every event that occurs, there occurs a sufficient causal condition of that event.
     From: Roderick Chisholm (Person and Object [1976], 2.2)
     A reaction: You need an ontology of events to put it precisely this way. Doesn't it also work the other way: that there is an event for every sufficient causal condition? The beginning and the end of reality pose problems.
20. Action / C. Motives for Action / 5. Action Dilemmas / c. Omissions
There are mere omissions (through ignorance, perhaps), and people can 'commit an omission' [Chisholm]
     Full Idea: If a man does not respond to a greeting, if he was unaware that he was addressed then his failure to respond may be a mere omission. But if he intended to snub the man, then he could be said to have 'committed the omission'.
     From: Roderick Chisholm (Person and Object [1976], 2.6)
     A reaction: Chisholm has an extensive knowledge of Catholic theology. These neat divisions are subject to vagueness and a continuum of cases in real life.
26. Natural Theory / A. Speculations on Nature / 1. Nature
The concept of physical necessity is basic to both causation, and to the concept of nature [Chisholm]
     Full Idea: It is generally agreed, I think, that the concept of physical necessity, or a law of nature, is fundamental to the theory of causation and, more generally, to the concept of nature.
     From: Roderick Chisholm (Person and Object [1976], 2.3)
     A reaction: This seems intuitively right, but we might be able to formulate a concept of nature that had a bit less necessity in it, especially if we read a few books on quantum theory first.
26. Natural Theory / C. Causation / 2. Types of cause
Some propose a distinct 'agent causation', as well as 'event causation' [Chisholm]
     Full Idea: Sometimes a distinction is made between 'event causation' and 'agent causation' and it has been suggested that there is an unbridgeable gap between the two.
     From: Roderick Chisholm (Person and Object [1976], 2.5)
     A reaction: Nope, don't buy that. I connect it with Davidson's 'anomalous monism', that tries to combine one substance with separate laws of action. The metaphysical price for such a theory is too high to pay.
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
A 'law of nature' is just something which is physically necessary [Chisholm]
     Full Idea: When we say something is 'physically necessary' we can replace it with 'law of nature'.
     From: Roderick Chisholm (Person and Object [1976], 2.2)
     A reaction: [plucked out of context even more than usual!] This is illuminating about what contemporary philosophers (such as Armstrong) seem to mean by a law of nature. It is not some grand equation, but a small local necessary connection.
28. God / A. Divine Nature / 2. Divine Nature
God is not a mathematician, but a poet [Hamann, by Berlin]
     Full Idea: Hamann's fundamental doctrine was that God was not a geometer, not a mathematician, but a poet.
     From: report of J.G. Hamann (works [1770]) by Isaiah Berlin - The Roots of Romanticism Ch.3
     A reaction: [This idea is wonderfully expressed by D.H.Lawrence in his poem 'Red Geranium and Godly Mignonette]. The idea becomes attractive when you ask whether God would need to do mathematics.