70 ideas
| 9641 | Definitions should be replaceable by primitives, and should not be creative [Brown,JR] |
| Full Idea: The standard requirement of definitions involves 'eliminability' (any defined terms must be replaceable by primitives) and 'non-creativity' (proofs of theorems should not depend on the definition). | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 7) | |
| A reaction: [He cites Russell and Whitehead as a source for this view] This is the austere view of the mathematician or logician. But almost every abstract concept that we use was actually defined in a creative way. |
| 9634 | Set theory says that natural numbers are an actual infinity (to accommodate their powerset) [Brown,JR] |
| Full Idea: The set-theory account of infinity doesn't just say that we can keep on counting, but that the natural numbers are an actual infinite set. This is necessary to make sense of the powerset of ω, as the set of all its subsets, and thus even bigger. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 5) | |
| A reaction: I don't personally find this to be sufficient reason to commit myself to the existence of actual infinities. In fact I have growing doubts about the whole role of set theory in philosophy of mathematics. Shows how much I know. |
| 9613 | Naïve set theory assumed that there is a set for every condition [Brown,JR] |
| Full Idea: In the early versions of set theory ('naïve' set theory), the axiom of comprehension assumed that for any condition there is a set of objects satisfying that condition (so P(x)↔x∈{x:P(x)}), but this led directly to Russell's Paradox. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 2) | |
| A reaction: How rarely any philosophers state this problem clearly (as Brown does here). This is incredibly important for our understanding of how we classify the world. I'm tempted to just ignore Russell, and treat sets in a natural and sensible way. |
| 9615 | Nowadays conditions are only defined on existing sets [Brown,JR] |
| Full Idea: In current set theory Russell's Paradox is avoided by saying that a condition can only be defined on already existing sets. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 2) | |
| A reaction: A response to Idea 9613. This leaves us with no account of how sets are created, so we have the modern notion that absolutely any grouping of daft things is a perfectly good set. The logicians seem to have hijacked common sense. |
| 9617 | The 'iterative' view says sets start with the empty set and build up [Brown,JR] |
| Full Idea: The modern 'iterative' concept of a set starts with the empty set φ (or unsetted individuals), then uses set-forming operations (characterized by the axioms) to build up ever more complex sets. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 2) | |
| A reaction: The only sets in our system will be those we can construct, rather than anything accepted intuitively. It is more about building an elaborate machine that works than about giving a good model of reality. |
| 9642 | A flock of birds is not a set, because a set cannot go anywhere [Brown,JR] |
| Full Idea: Neither a flock of birds nor a pack of wolves is strictly a set, since a flock can fly south, and a pack can be on the prowl, whereas sets go nowhere and menace no one. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 7) | |
| A reaction: To say that the pack menaced you would presumably be to commit the fallacy of composition. Doesn't the number 64 have properties which its set-theoretic elements (whatever we decide they are) will lack? |
| 9605 | If a proposition is false, then its negation is true [Brown,JR] |
| Full Idea: The law of excluded middle says if a proposition is false, then its negation is true | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 1) | |
| A reaction: Surely that is the best statement of the law? How do you write that down? ¬(P)→¬P? No, because it is a semantic claim, not a syntactic claim, so a truth table captures it. Semantic claims are bigger than syntactic claims. |
| 21597 | Logical connectives have the highest precision, yet are infected by the vagueness of true and false [Russell, by Williamson] |
| Full Idea: Russell says the best chance of avoiding vagueness are the logical connectives. ...But the vagueness of 'true' and 'false' infects the logical connectives too. All words are vague. Russell concludes that all language is vague. | |
| From: report of Bertrand Russell (Vagueness [1923]) by Timothy Williamson - Vagueness 2.4 | |
| A reaction: This relies on the logical connectives being defined semantically, in terms of T and F, but that is standard. Presumably the formal uninterpreted syntax is not vague. |
| 9649 | Axioms are either self-evident, or stipulations, or fallible attempts [Brown,JR] |
| Full Idea: The three views one could adopt concerning axioms are that they are self-evident truths, or that they are arbitrary stipulations, or that they are fallible attempts to describe how things are. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch.10) | |
| A reaction: Presumably modern platonists like the third version, with others choosing the second, and hardly anyone now having the confidence to embrace the first. |
| 9638 | Berry's Paradox finds a contradiction in the naming of huge numbers [Brown,JR] |
| Full Idea: Berry's Paradox refers to 'the least integer not namable in fewer than nineteen syllables' - a paradox because it has just been named in eighteen syllables. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 5) | |
| A reaction: Apparently George Boolos used this quirky idea as a basis for a new and more streamlined proof of Gödel's Theorem. Don't tell me you don't find that impressive. |
| 9604 | Mathematics is the only place where we are sure we are right [Brown,JR] |
| Full Idea: Mathematics seems to be the one and only place where we humans can be absolutely sure that we got it right. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 1) | |
| A reaction: Apart from death and taxes, that is. Personally I am more certain of the keyboard I am typing on than I am of Pythagoras's Theorem, but the experts seem pretty confident about the number stuff. |
| 9622 | 'There are two apples' can be expressed logically, with no mention of numbers [Brown,JR] |
| Full Idea: 'There are two apples' can be recast as 'x is an apple and y is an apple, and x isn't y, and if z is an apple it is the same as x or y', which makes no appeal at all to mathematics. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 4) | |
| A reaction: He cites this as the basis of Hartry Field's claim that science can be done without numbers. The logic is ∃x∃y∀z(Ax&Ay&(x¬=y)&(Az→z=x∨z=y)). |
| 9648 | π is a 'transcendental' number, because it is not the solution of an equation [Brown,JR] |
| Full Idea: The number π is not only irrational, but it is also (unlike √2) a 'transcendental' number, because it is not the solution of an algebraic equation. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch.10) | |
| A reaction: So is that a superficial property, or a profound one? Answers on a post card. |
| 9621 | Mathematics represents the world through structurally similar models. [Brown,JR] |
| Full Idea: Mathematics hooks onto the world by providing representations in the form of structurally similar models. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 4) | |
| A reaction: This is Brown's conclusion. It needs notions of mapping, one-to-one correspondence, and similarity. I like the idea of a 'model', as used in both logic and mathematics, and children's hobbies. The mind is a model-making machine. |
| 9646 | There is no limit to how many ways something can be proved in mathematics [Brown,JR] |
| Full Idea: I'm tempted to say that mathematics is so rich that there are indefinitely many ways to prove anything - verbal/symbolic derivations and pictures are just two. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 9) | |
| A reaction: Brown has been defending pictures as a form of proof. I wonder how long his list would be, if we challenged him to give more details? Some people have very low standards of proof. |
| 9647 | Computers played an essential role in proving the four-colour theorem of maps [Brown,JR] |
| Full Idea: The celebrity of the famous proof in 1976 of the four-colour theorem of maps is that a computer played an essential role in the proof. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch.10) | |
| A reaction: The problem concerns the reliability of the computers, but then all the people who check a traditional proof might also be unreliable. Quis custodet custodies? |
| 9643 | Set theory may represent all of mathematics, without actually being mathematics [Brown,JR] |
| Full Idea: Maybe all of mathematics can be represented in set theory, but we should not think that mathematics is set theory. Functions can be represented as order pairs, but perhaps that is not what functions really are. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 7) | |
| A reaction: This seems to me to be the correct view of the situation. If 2 is represented as {φ,{φ}}, why is that asymmetrical? The first digit seems to be the senior and original partner, but how could the digits of 2 differ from one another? |
| 9644 | When graphs are defined set-theoretically, that won't cover unlabelled graphs [Brown,JR] |
| Full Idea: The basic definition of a graph can be given in set-theoretic terms,...but then what could an unlabelled graph be? | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 7) | |
| A reaction: An unlabelled graph will at least need a verbal description for it to have any significance at all. My daily mood-swings look like this.... |
| 9625 | To see a structure in something, we must already have the idea of the structure [Brown,JR] |
| Full Idea: Epistemology is a big worry for structuralists. ..To conjecture that something has a particular structure, we must already have conceived of the idea of the structure itself; we cannot be discovering structures by conjecturing them. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 4) | |
| A reaction: This has to be a crucial area of discussion. Do we have our heads full of abstract structures before we look out of the window? Externalism about the mind is important here; mind and world are not utterly distinct things. |
| 9628 | Sets seem basic to mathematics, but they don't suit structuralism [Brown,JR] |
| Full Idea: Set theory is at the very heart of mathematics; it may even be all there is to mathematics. The notion of set, however, seems quite contrary to the spirit of structuralism. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 4) | |
| A reaction: So much the worse for sets, I say. You can, for example, define ordinality in terms of sets, but that is no good if ordinality is basic to the nature of numbers, rather than a later addition. |
| 9606 | The irrationality of root-2 was achieved by intellect, not experience [Brown,JR] |
| Full Idea: We could not discover irrational numbers by physical measurement. The discovery of the irrationality of the square root of two was an intellectual achievement, not at all connected to sense experience. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 1) | |
| A reaction: Brown declares himself a platonist, and this is clearly a key argument for him, and rather a good one. Hm. I'll get back to you on this one... |
| 9612 | There is an infinity of mathematical objects, so they can't be physical [Brown,JR] |
| Full Idea: A simple argument makes it clear that all mathematical arguments are abstract: there are infinitely many numbers, but only a finite number of physical entities, so most mathematical objects are non-physical. The best assumption is that they all are. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 2) | |
| A reaction: This, it seems to me, is where constructivists score well (cf. Idea 9608). I don't have an infinity of bricks to build an infinity of houses, but I can imagine that the bricks just keep coming if I need them. Imagination is what is unbounded. |
| 9610 | Numbers are not abstracted from particulars, because each number is a particular [Brown,JR] |
| Full Idea: Numbers are not 'abstract' (in the old sense, of universals abstracted from particulars), since each of the integers is a unique individual, a particular, not a universal. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 2) | |
| A reaction: An interesting observation which I have not seen directly stated before. Compare Idea 645. I suspect that numbers should be thought of as higher-order abstractions, which don't behave like normal universals (i.e. they're not distributed). |
| 9620 | Empiricists base numbers on objects, Platonists base them on properties [Brown,JR] |
| Full Idea: Perhaps, instead of objects, numbers are associated with properties of objects. Basing them on objects is strongly empiricist and uses first-order logic, whereas the latter view is somewhat Platonistic, and uses second-order logic. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 4) | |
| A reaction: I don't seem to have a view on this. You can count tomatoes, or you can count red objects, or even 'instances of red'. Numbers refer to whatever can be individuated. No individuation, no arithmetic. (It's also Hume v Armstrong on laws on nature). |
| 9639 | Does some mathematics depend entirely on notation? [Brown,JR] |
| Full Idea: Are there mathematical properties which can only be discovered using a particular notation? | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 6) | |
| A reaction: If so, this would seem to be a serious difficulty for platonists. Brown has just been exploring the mathematical theory of knots. |
| 9629 | For nomalists there are no numbers, only numerals [Brown,JR] |
| Full Idea: For the instinctive nominalist in mathematics, there are no numbers, only numerals. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 5) | |
| A reaction: Maybe. A numeral is a specific sign, sometimes in a specific natural language, so this seems to miss the fact that cardinality etc are features of reality, not just conventions. |
| 9630 | The most brilliant formalist was Hilbert [Brown,JR] |
| Full Idea: In mathematics, the most brilliant formalist of all was Hilbert | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 5) | |
| A reaction: He seems to have developed his fully formalist views later in his career. See Mathematics|Basis of Mathematic|Formalism in our thematic section. Kreisel denies that Hilbert was a true formalist. |
| 9608 | There are no constructions for many highly desirable results in mathematics [Brown,JR] |
| Full Idea: Constuctivists link truth with constructive proof, but necessarily lack constructions for many highly desirable results of classical mathematics, making their account of mathematical truth rather implausible. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 2) | |
| A reaction: The tricky word here is 'desirable', which is an odd criterion for mathematical truth. Nevertheless this sounds like a good objection. How flexible might the concept of a 'construction' be? |
| 9645 | Constructivists say p has no value, if the value depends on Goldbach's Conjecture [Brown,JR] |
| Full Idea: If we define p as '3 if Goldbach's Conjecture is true' and '5 if Goldbach's Conjecture is false', it seems that p must be a prime number, but, amazingly, constructivists would not accept this without a proof of Goldbach's Conjecture. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 8) | |
| A reaction: A very similar argument structure to Schrödinger's Cat. This seems (as Brown implies) to be a devastating knock-down argument, but I'll keep an open mind for now. |
| 9619 | David's 'Napoleon' is about something concrete and something abstract [Brown,JR] |
| Full Idea: David's painting of Napoleon (on a white horse) is a 'picture' of Napoleon, and a 'symbol' of leadership, courage, adventure. It manages to be about something concrete and something abstract. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 3) | |
| A reaction: This strikes me as the germ of an extremely important idea - that abstraction is involved in our perception of the concrete, so that they are not two entirely separate realms. Seeing 'as' involves abstraction. |
| 9051 | Since natural language is not precise it cannot be in the province of logic [Russell, by Keefe/Smith] |
| Full Idea: Russell takes it that logic assumes precision, and since natural language is not precise it cannot be in the province of logic at all. | |
| From: report of Bertrand Russell (Vagueness [1923]) by R Keefe / P Smith - Intro: Theories of Vagueness §1 | |
| A reaction: I find this view congenial. It seems to me that the necessary prelude to logic is to do everything you can to eliminate ambiguity and vagueness from the sentences at issue. We want the proposition, or logical form. If there isn't one, forget it? |
| 9054 | Vagueness is only a characteristic of representations, such as language [Russell] |
| Full Idea: Vagueness and precision alike are characteristics which can only belong to a representation, of which language is an example. | |
| From: Bertrand Russell (Vagueness [1923], p.62) | |
| A reaction: Russell was the first to tackle the question of vagueness, and he may have got it right. If we are unable to decide which set an object belongs in (red or orange) that is a problem for our conceptual/linguistic scheme. The object still has a colour! |
| 20043 | Evolutionary explanations look to the past or the group, not to the individual [Stout,R] |
| Full Idea: In evolutionary explanations you may explain a population trait in terms of what it is for the sake of an individual, or explain it in terms of what it was for the sake of in earlier generations, but never in terms of what the trait is for the sake of. | |
| From: Rowland Stout (Action [2005], 2 'Functions') | |
| A reaction: So my ears are for the sake of my ability to hear, but that does not explain why I have ears. Should we say there is 'impersonal teleology' here, but no 'personal teleology'? Interesting. |
| 20058 | Not all explanation is causal. We don't explain a painting's beauty, or the irrationality of root-2, that way [Stout,R] |
| Full Idea: Not all explanation is causal. Explaining the beauty of a painting is not explaining why something happened. or why a move in chess is illegal, or why the square root of two is not a rational number. | |
| From: Rowland Stout (Action [2005], 5 'Argument') | |
| A reaction: It is surely plausible that the illegality of the chess move is caused (or 'determined', as I prefer to say) by the laws created for chess. The painting example seems right, though; what determined its configuration (think Pollock!) does not explain it. |
| 9611 | 'Abstract' nowadays means outside space and time, not concrete, not physical [Brown,JR] |
| Full Idea: The current usage of 'abstract' simply means outside space and time, not concrete, not physical. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 2) | |
| A reaction: This is in contrast to Idea 9609 (the older notion of being abstracted). It seems odd that our ancestors had a theory about where such ideas came from, but modern thinkers have no theory at all. Blame Frege for that. |
| 9609 | The older sense of 'abstract' is where 'redness' or 'group' is abstracted from particulars [Brown,JR] |
| Full Idea: The older sense of 'abstract' applies to universals, where a universal like 'redness' is abstracted from red particulars; it is the one associated with the many. In mathematics, the notion of 'group' or 'vector space' perhaps fits this pattern. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 2) | |
| A reaction: I am currently investigating whether this 'older' concept is in fact dead. It seems to me that it is needed, as part of cognitive science, and as the crucial link between a materialist metaphysic and the world of ideas. |
| 9640 | A term can have not only a sense and a reference, but also a 'computational role' [Brown,JR] |
| Full Idea: In addition to the sense and reference of term, there is the 'computational' role. The name '2' has a sense (successor of 1) and a reference (the number 2). But the word 'two' has little computational power, Roman 'II' is better, and '2' is a marvel. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 6) | |
| A reaction: Very interesting, and the point might transfer to natural languages. Synonymous terms carry with them not just different expressive powers, but the capacity to play different roles (e.g. slang and formal terms, gob and mouth). |
| 20035 | Philosophy of action studies the nature of agency, and of deliberate actions [Stout,R] |
| Full Idea: The philosophy of action is concerned with the nature of agency: what it is to be a full-blown agent, and what it is to realise one's agency in acting deliberately on things. | |
| From: Rowland Stout (Action [2005], 1 'Being') | |
| A reaction: 'Full-blown' invites the question of whether there could be a higher level of agency, beyond the capacity of human beings. Perhaps AI should design a theoretical machine that taps into those higher levels, if we can conceive of them. Meta-coherence! |
| 20084 | Agency is causal processes that are sensitive to justification [Stout,R] |
| Full Idea: My conclusion is that wherever you can identify causal processes that are sensitive to the recommendations of systems of justification, there you have found agency. | |
| From: Rowland Stout (Action [2005], 9b 'Conclusion') | |
| A reaction: [the last paragraph of his book] Justification seems an awfully grand notion for a bee pollinating a flower, and I don't see human action as profoundly different. A reason might be a bad justification, but it might not even aspire to be a justification. |
| 20061 | Mental states and actions need to be separate, if one is to cause the other [Stout,R] |
| Full Idea: If psychological states and action results cannot be identified independently of one another, then it does not make sense to describe one as causing the other. | |
| From: Rowland Stout (Action [2005], 5 'Conclusion') | |
| A reaction: This summarises a widely cited unease about the causal theory of action. Any account in action theory will need to separate out some components and explain their interrelation. Otherwise actions are primitives, and we can walk away. |
| 20079 | Are actions bodily movements, or a sequence of intention-movement-result? [Stout,R] |
| Full Idea: Are actions identical with bodily movements? Or are they identical with sequences of things starting inside the agent's mind with their intentions, going through their body movements and finishing with the external results being achieved? | |
| From: Rowland Stout (Action [2005], 9 'What is action') | |
| A reaction: If bodily movements are crucial, this presumably eliminates speech acts. Speech or writing may involve some movement, but the movement is almost irrelevant to the nature of the action. Telepathy would do equally well. |
| 20080 | If one action leads to another, does it cause it, or is it part of it? [Stout,R] |
| Full Idea: When we do one action 'by' doing another, either the first action causes the process of the second, or the first action is part of the process of the second | |
| From: Rowland Stout (Action [2005], 9 'What is by') | |
| A reaction: Stout says the second view is preferable, because pressing a switch does not cause my action of turning on the light (though it does cause the light to come on). |
| 20059 | I do actions, but not events, so actions are not events [Stout,R] |
| Full Idea: I do not do an event; I do an action; so actions are not events. | |
| From: Rowland Stout (Action [2005], 5 'Are actions') | |
| A reaction: Sounds conclusive, but it places a lot of weight on the concepts of 'I' and 'do', which leaves room for some discussion. This point is opposed to the causal theory of action, because causation concerns events. |
| 20081 | Bicycle riding is not just bodily movement - you also have to be on the bicycle [Stout,R] |
| Full Idea: You do not ride a bicycle just by moving your body in a certain way. You have to be on the bicycle to move in the right sort of way | |
| From: Rowland Stout (Action [2005], 9 'Are body') | |
| A reaction: My favourite philosophical ideas are simple and conclusive. He also observes that walking involves the ground being walked on. In complex actions 'feedback' with the environment is involved. |
| 20044 | The rationalistic approach says actions are intentional when subject to justification [Stout,R] |
| Full Idea: The rationalistic approach to agency says that what characterises intentional action is that it is subject to justification. | |
| From: Rowland Stout (Action [2005], 2 'Conclusion') | |
| A reaction: [Anscombe is the chief articulator of this view] This seems to incorporate action into an entirely intellectual and even moral framework. |
| 20039 | The causal theory says that actions are intentional when intention (or belief-desire) causes the act [Stout,R] |
| Full Idea: The causal theory of action asserts that what characterises intentional action is the agent's intentions, or perhaps their beliefs and desires, causing their behaviour in the appropriate way. | |
| From: Rowland Stout (Action [2005], 1 'Outline') | |
| A reaction: The agent's intentions are either sui generis (see Bratman), or reducible to beliefs and desires (as in Hume). The classic problem for the causal theory is said to be 'deviant causal chains'. |
| 20047 | Deciding what to do usually involves consulting the world, not our own minds [Stout,R] |
| Full Idea: In the vast majority of actions you need to look outwards to work out what you should do. An exam invigilator should consult the clock to design when to end the exam, not her state of mind. | |
| From: Rowland Stout (Action [2005], 3 'The belief-') | |
| A reaction: Stout defends externalist intentions. I remain unconvinced. It is no good looking at a clock if you don't form a belief about what it says, and the belief is obviously closer than the clock to the action. Intellectual virtue requires checking the facts. |
| 20065 | Should we study intentions in their own right, or only as part of intentional action? [Stout,R] |
| Full Idea: Should we try to understand what it is to have an intention in terms of what it is to act intentionally, or should we try to understand what it is to have an intention independently of what it is to act intentionally? | |
| From: Rowland Stout (Action [2005], 7 'Acting') | |
| A reaction: Since you can have an intention to act, and yet fail to act, it seems possible to isolate intentions, but not to say a lot about them. Intention may be different prior to actions, and during actions. Early Davidson offered the derived view. |
| 20067 | You can have incompatible desires, but your intentions really ought to be consistent [Stout,R] |
| Full Idea: Intentions are unlike desires. You can simultaneously desire two things that you know are incompatible. But when you form intentions you are embarking on a course of action, and there is a much stronger requirement of consistency. | |
| From: Rowland Stout (Action [2005], 7 'Relationship') | |
| A reaction: I'm not sure why anyone would identify intentions with desires. I would quite like to visit Japan, but have no current intention of doing so. I assume that the belief-plus-desire theory doesn't deny that an uninteresting intention is also needed. |
| 20078 | The normativity of intentions would be obvious if they were internal promises [Stout,R] |
| Full Idea: One way to incorporate this [normative] feature of intentions would be to treat them like internal promises. | |
| From: Rowland Stout (Action [2005], 8 'Intention') | |
| A reaction: Interesting. The concept of a promise is obviously closely linked to an intention. If you tell your companion exactly where you intend your golf ball to land, you can thereby be held accountable, in a manner resembling a promise (but not a promise). |
| 20036 | Intentional agency is seen in internal precursors of action, and in external reasons for the act [Stout,R] |
| Full Idea: It is plausible that we find something characteristic of intentional agency when we look inward to the mental precursors of actions, and also when we look outward, to the sensitivity of action to what the environment gives us reasons to do. | |
| From: Rowland Stout (Action [2005], 1 'How') | |
| A reaction: This is Stout staking a claim for his partly externalist view of agency. I warm less and less to the various forms of externalism. How often does the environment 'give us reasons' to do things? How can we act, without internalising those reasons? |
| 20066 | Speech needs sustained intentions, but not prior intentions [Stout,R] |
| Full Idea: The intentional action of including the word 'big' in a sentence does not require a prior intention to say it. What is required is that you say it with the intention of saying it. | |
| From: Rowland Stout (Action [2005], 7 'Relationship') | |
| A reaction: This seems right, but makes it a lot harder to say what an intention is, and to separate it out for inspection. You can't speak a good English sentence while withdrawing the intention involved. |
| 20073 | Bratman has to treat shared intentions as interrelated individual intentions [Stout,R] |
| Full Idea: Bratman has to construe what we think of as shared intentions as not literally involving shared intentions, but as involving interrelating of individual intentions. | |
| From: Rowland Stout (Action [2005], 7 'Conclusion') | |
| A reaction: Stout rejects this, for an account based on adaptability of behaviour. To me, naturalism and sparse ontology favour Bratman (1984) . I like my idea that shared intentions are conditional individual intentions. If the group refuses, I drop the intention. |
| 20069 | A request to pass the salt shares an intention that the request be passed on [Stout,R] |
| Full Idea: When one person says to another 'please pass the salt', and the other engages with this utterance and understands it, they share the intention that this request is passed from the first person to the second. | |
| From: Rowland Stout (Action [2005], 7 'Shared') | |
| A reaction: Simple and intriguing. We form an intention, and then ask someone else to take over our intention. When the second person takes over the intention, I give up the intention to acquire the salt, because it is on its way. It's political. |
| 20070 | An individual cannot express the intention that a group do something like moving a piano [Stout,R] |
| Full Idea: It is unnatural to describe an individual as intending that the group do something together. ...What could possibly express my intention that we move the piano upstairs? | |
| From: Rowland Stout (Action [2005], 7 'Shared') | |
| A reaction: Two possible answers: it makes sense if I have great authority within the group. 'I'm going to move the piano - you take that end'. Or, such expressions are implicitly conditional - 'I intend to move the piano (if you will also intend it)'. |
| 20071 | An intention is a goal to which behaviour is adapted, for an individual or for a group [Stout,R] |
| Full Idea: An individual intention is a goal to which an individual's behaviour adapts. A shared intention is a goal to which a group of people's behaviour collectively adapts. | |
| From: Rowland Stout (Action [2005], 7 'Shared') | |
| A reaction: This is part of Stout's externalist approach to actions. One would have thought that an intention was a state of mind, not a goal in the world. The individual's goal can be psychological, but a group's goal has to be an abstraction. |
| 20038 | If the action of walking is just an act of will, then movement of the legs seems irrelevant [Stout,R] |
| Full Idea: If volitionism identifies the action with an act of will, this has the unpalatable consequence (for a Cartesian dualist) that walking does not happen in the material world. It would be the same act of walking if you had no legs, or no body at all. | |
| From: Rowland Stout (Action [2005], 1 'Volitionism') | |
| A reaction: Is this attacking a caricature version of volitionism? Descartes would hardly subscribe to the view that no legs are needed for walking. If my legs spasmodically move without an act of will, we typically deny that this is an action. |
| 20050 | Most philosophers see causation as by an event or state in the agent, rather than the whole agent [Stout,R] |
| Full Idea: Most philosophers are uneasy with understanding the causal aspect of actions in terms of an 'agent' making something happen. They prefer to think of some event in the agent, or state of the agent, making something happen. | |
| From: Rowland Stout (Action [2005], 4 'The causal') | |
| A reaction: There is a bit of a regress if you ask what caused the event or state of affairs. It is tempting to stop the buck at the whole agent, or else carry the reduction on down to neurons, physics and the outside world. |
| 20052 | If you don't mention an agent, you aren't talking about action [Stout,R] |
| Full Idea: Once you lose the agent from an account of action it stops being an account of action at all. | |
| From: Rowland Stout (Action [2005], 4 'Agent') | |
| A reaction: [he refers to Richard Taylor 1966] This could be correct without implying that agents offer a unique mode of causation. The concept of 'agent' is reducible. |
| 20077 | If you can judge one act as best, then do another, this supports an inward-looking view of agency [Stout,R] |
| Full Idea: Weakness of will is a threat to the outward-looking approach to agency. It seems you can hold one thing to be the thing to do, and at the same time do something else. Many regard this as a decisive reason to follow a more inward-looking approach. | |
| From: Rowland Stout (Action [2005], 8 'Weakness') | |
| A reaction: It hadn't struck me before that weakness of will is a tool for developing an accurate account of what is involved in normal agency. Some facts that guide action are internal to the agent, such as greed for sugary cakes. |
| 20049 | Maybe your emotions arise from you motivations, rather than being their cause [Stout,R] |
| Full Idea: Instead of assuming that your motivation depends on your emotional state, we might say that your emotional state depends on how you are motivated to act. | |
| From: Rowland Stout (Action [2005], 3 'Emotions') | |
| A reaction: [He says this move is made by Kant, Thomas Nagel and McDowell] Stout favours the view that it is external facts which mainly give rise to actions, and presumably these facts are intrinsically motivating, prior to any emotions. I don't disagree. |
| 20046 | For an ascetic a powerful desire for something is a reason not to implement it [Stout,R] |
| Full Idea: If wanting something most were the same as having the most powerful feelings about it, then as an ascetic (rejecting what you most powerfully desire), your wanting most to eat a bun would be your reason for not eating the bun. | |
| From: Rowland Stout (Action [2005], 3 'The belief-') | |
| A reaction: This sounds like reason overruling desire, but the asceticism can always be characterised as a meta-desire. |
| 20060 | Beliefs, desires and intentions are not events, so can't figure in causal relations [Stout,R] |
| Full Idea: Beliefs, desires and intentions are states of mind rather than events, but events are the only things that figure in causal relations. | |
| From: Rowland Stout (Action [2005], 5 'Do beliefs') | |
| A reaction: This is exactly why we have the concept of 'the will' - because it is a mental state to which we attribute active causal powers. We then have to explain how this 'will' is related to the other mental states (which presume motivate or drive it?). |
| 20055 | A standard view says that the explanation of an action is showing its rational justification [Stout,R] |
| Full Idea: The idea running through the work of Aristotle, Kant, Anscombe and Davidson is that explanation of action involves justifying that action or making it rationally intelligible. | |
| From: Rowland Stout (Action [2005], 5 'Psychological') | |
| A reaction: Stout goes on to say that instead you could give the 'rationalisation' of the action, which is psychological facts which explain the action, without justifying it. The earlier view may seem a little optimistic and intellectualist. |
| 20056 | In order to be causal, an agent's reasons must be internalised as psychological states [Stout,R] |
| Full Idea: It is widely accepted that to get involved in the causal process of acting an agent's reasons must be internalised as psychological states. | |
| From: Rowland Stout (Action [2005], 5 'Psychological') | |
| A reaction: This doesn't say whether the 'psychological states' have to be fully conscious. That seems unlikely, given the speed with which we perform some sequences of actions, such as when driving a car, or playing a musical instrument. |
| 20053 | An action is only yours if you produce it, rather than some state or event within you [Stout,R] |
| Full Idea: For action to be properly yours it must be you who is the causal originator of the action, rather than some state or event within you. | |
| From: Rowland Stout (Action [2005], 4 'Agent') | |
| A reaction: [He invokes Chisholm 1966] The idea here is that we require not only 'agent causation', but that the concept of agent must include free will. It seems right we ought to know whether or not an action is 'mine'. Nothing too fancy is needed for this! |
| 20048 | There may be a justification relative to a person's view, and yet no absolute justification [Stout,R] |
| Full Idea: In a relativistic notion of justification, in a particular system, there is a reason for a vandal to smash public property, even though, using an absolute conception of justification, there is no reason for him to do so. | |
| From: Rowland Stout (Action [2005], 3 'The difference') | |
| A reaction: I suppose Kantians would say that the aim of morality is to make your personal (relative) justification coincide with what seems to be the absolute justification. |
| 20068 | Describing a death as a side-effect rather than a goal may just be good public relations [Stout,R] |
| Full Idea: The real signficance of the doctrine of double effect can be public relations. You can put a better spin on an action by describing a death as an unfortunate collateral consequence, rather than as a goal of the action | |
| From: Rowland Stout (Action [2005], 7 'Doctrine') | |
| A reaction: The problem is that it the principle is usually invoked in situations where it is not clear where some bad effect is intended, and it is very easy to lie in such situations. In football, we can never quite decide whether a dangerous tackle was intended. |
| 9635 | Given atomism at one end, and a finite universe at the other, there are no physical infinities [Brown,JR] |
| Full Idea: There seem to be no actual infinites in the physical realm. Given the correctness of atomism, there are no infinitely small things, no infinite divisibility. And General Relativity says that the universe is only finitely large. | |
| From: James Robert Brown (Philosophy of Mathematics [1999], Ch. 5) | |
| A reaction: If time was infinite, you could travel round in a circle forever. An atom has size, so it has a left, middle and right to it. Etc. They seem to be physical, so we will count those too. |
| 20083 | Aristotelian causation involves potentiality inputs into processes (rather than a pair of events) [Stout,R] |
| Full Idea: In the Aristotelian approach to causation (unlike the Humean approach, involving separate events), A might cause B by being an input into some process (realisation of potentiality) that results in B. | |
| From: Rowland Stout (Action [2005], 9 'Trying') | |
| A reaction: Stout relies quite heavily on this view for his account of human action. I like processes, so am sympathetic to this view. If there are two separate events, it is not surprising that Hume could find nothing to bridge the gap between them. |