24 ideas
| 3798 | An overexamined life is as bad as an unexamined one [Dennett] |
| Full Idea: The unexamined life may not be worth living, but the overexamined life is nothing to write home about either. | |
| From: Daniel C. Dennett (Elbow Room: varieties of free will [1984], §4.2) | |
| A reaction: Presumably he means a life which is all theory and no practice. Compare Idea 343. |
| 3801 | Rationality requires the assumption that things are either for better or worse [Dennett] |
| Full Idea: We must assume that something matters - that some things are for better and some things are for worse, for without that our assumed rationality would have nothing on which to get a purchase. | |
| From: Daniel C. Dennett (Elbow Room: varieties of free will [1984], §7.1) | |
| A reaction: It does seem that rationality wouldn't exist as an activity without some value to motivate it. |
| 10017 | Truth in a model is more tractable than the general notion of truth [Hodes] |
| Full Idea: Truth in a model is interesting because it provides a transparent and mathematically tractable model - in the 'ordinary' rather than formal sense of the term 'model' - of the less tractable notion of truth. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.131) | |
| A reaction: This is an important warning to those who wish to build their entire account of truth on Tarski's rigorously formal account of the term. Personally I think we should start by deciding whether 'true' can refer to the mental state of a dog. I say it can. |
| 10018 | Truth is quite different in interpreted set theory and in the skeleton of its language [Hodes] |
| Full Idea: There is an enormous difference between the truth of sentences in the interpreted language of set theory and truth in some model for the disinterpreted skeleton of that language. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.132) | |
| A reaction: This is a warning to me, because I thought truth and semantics only entered theories at the stage of 'interpretation'. I must go back and get the hang of 'skeletal' truth, which sounds rather charming. [He refers to set theory, not to logic.] |
| 10015 | Higher-order logic may be unintelligible, but it isn't set theory [Hodes] |
| Full Idea: Brand higher-order logic as unintelligible if you will, but don't conflate it with set theory. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.131) | |
| A reaction: [he gives Boolos 1975 as a further reference] This is simply a corrective, because the conflation of second-order logic with set theory is an idea floating around in the literature. |
| 10011 | Identity is a level one relation with a second-order definition [Hodes] |
| Full Idea: Identity should he considered a logical notion only because it is the tip of a second-order iceberg - a level 1 relation with a pure second-order definition. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984]) |
| 10016 | When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes] |
| Full Idea: A model is created when a language is 'interpreted', by assigning non-logical terms to objects in a set, according to a 'true-in' relation, but we must bear in mind that this 'interpretation' does not associate anything like Fregean senses with terms. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.131) | |
| A reaction: This seems like a key point (also made by Hofweber) that formal accounts of numbers, as required by logic, will not give an adequate account of the semantics of number-terms in natural languages. |
| 10027 | Mathematics is higher-order modal logic [Hodes] |
| Full Idea: I take the view that (agreeing with Aristotle) mathematics only requires the notion of a potential infinity, ...and that mathematics is higher-order modal logic. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984]) | |
| A reaction: Modern 'modal' accounts of mathematics I take to be heirs of 'if-thenism', which seems to have been Russell's development of Frege's original logicism. I'm beginning to think it is right. But what is the subject-matter of arithmetic? |
| 10026 | Arithmetic must allow for the possibility of only a finite total of objects [Hodes] |
| Full Idea: Arithmetic should be able to face boldly the dreadful chance that in the actual world there are only finitely many objects. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.148) | |
| A reaction: This seems to be a basic requirement for any account of arithmetic, but it was famously a difficulty for early logicism, evaded by making the existence of an infinity of objects into an axiom of the system. |
| 10021 | It is claimed that numbers are objects which essentially represent cardinality quantifiers [Hodes] |
| Full Idea: The mathematical object-theorist says a number is an object that represents a cardinality quantifier, with the representation relation as the entire essence of the nature of such objects as cardinal numbers like 4. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984]) | |
| A reaction: [compressed] This a classic case of a theory beginning to look dubious once you spell it our precisely. The obvious thought is to make do with the numerical quantifiers, and dispense with the objects. Do other quantifiers need objects to support them? |
| 10022 | Numerical terms can't really stand for quantifiers, because that would make them first-level [Hodes] |
| Full Idea: The dogmatic Frege is more right than wrong in denying that numerical terms can stand for numerical quantifiers, for there cannot be a language in which object-quantifiers and objects are simultaneously viewed as level zero. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.142) | |
| A reaction: Subtle. We see why Frege goes on to say that numbers are level zero (i.e. they are objects). We are free, it seems, to rewrite sentences containing number terms to suit whatever logical form appeals. Numbers are just quantifiers? |
| 10023 | Talk of mirror images is 'encoded fictions' about real facts [Hodes] |
| Full Idea: Talk about mirror images is a sort of fictional discourse. Statements 'about' such fictions are not made true or false by our whims; rather they 'encode' facts about the things reflected in mirrors. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.146) | |
| A reaction: Hodes's proposal for how we should view abstract objects (c.f. Frege and Dummett on 'the equator'). The facts involved are concrete, but Hodes is offering 'encoding fictionalism' as a linguistic account of such abstractions. He applies it to numbers. |
| 3802 | Why pronounce impossible what you cannot imagine? [Dennett] |
| Full Idea: You say you cannot imagine that p, and therefore declare that p is impossible. Mightn't that be hubris? | |
| From: Daniel C. Dennett (Elbow Room: varieties of free will [1984], §7.3) |
| 3795 | Causal theories require the "right" sort of link (usually unspecified) [Dennett] |
| Full Idea: In causal theories of knowledge and reference, the causal chain between object and thought must be of the "right" sort - the nature of rightness to be specified later, typically. | |
| From: Daniel C. Dennett (Elbow Room: varieties of free will [1984], §3.3 n14) | |
| A reaction: This is now the standard objection to a purely causal account of reference. Which of the many causal chains causes the meaning? Knowledge of maths is a further problem for it. |
| 3797 | I am the sum total of what I directly control [Dennett] |
| Full Idea: Control is the ultimate criterion of the self: I am the sum total of the parts I control directly. | |
| From: Daniel C. Dennett (Elbow Room: varieties of free will [1984], §4.2) | |
| A reaction: This looks awfully like a flagrant self-contradiction, and I think it is. It seems pretty obvious that there is at least a distinction between the bit or bits that do the controlling, and the bits that get controlled. |
| 3800 | You can be free even though force would have prevented you doing otherwise [Dennett, by PG] |
| Full Idea: If a brain implant would compel you to perform an action which you in fact freely choose, then you are free, but couldn't have done otherwise. | |
| From: report of Daniel C. Dennett (Elbow Room: varieties of free will [1984], §6.1) by PG - Db (ideas) |
| 3803 | Can we conceive of a being with a will freer than our own? [Dennett] |
| Full Idea: Can I even conceive of beings whose wills are freer than our own? | |
| From: Daniel C. Dennett (Elbow Room: varieties of free will [1984], §7.3) |
| 3791 | Awareness of thought is a step beyond awareness of the world [Dennett] |
| Full Idea: The creature who is not only sensitive to patterns in its environment, but also sensitive to patterns in its own reactions to patterns in its environment, has taken a major step. | |
| From: Daniel C. Dennett (Elbow Room: varieties of free will [1984], §2.2) |
| 3794 | Foreknowledge permits control [Dennett] |
| Full Idea: Foreknowledge is what permits control. | |
| From: Daniel C. Dennett (Elbow Room: varieties of free will [1984], §3.2) |
| 3796 | The active self is a fiction created because we are ignorant of our motivations [Dennett] |
| Full Idea: Faced with our inability to 'see' where the centre or source of our free actions is,…we exploit the gaps in our self-knowledge by filling it with a mysterious entity, the unmoved mover, the active self. | |
| From: Daniel C. Dennett (Elbow Room: varieties of free will [1984], §4.1) | |
| A reaction: I am convinced that there is no such things as free will; its origins are to be found in religion, where it is a necessary feature of a very supreme God. I don't believe for a moment that we need to believe in free will. |
| 20034 | Intentions must be mutually consistent, affirm appropriate means, and fit the agent's beliefs [Bratman, by Wilson/Schpall] |
| Full Idea: Bratman's three main norms of intention are 'internal consistency' (between a person's intentions), 'means-end coherence' (the means must fit the end), and 'consistency with the agent's beliefs' (especially intending to do and believing you won't do). | |
| From: report of Michael Bratman (Intention, Plans, and Practical Reason [1987]) by Wilson,G/Schpall,S - Action 4 | |
| A reaction: These are controversial, but have set the agenda for modern non-reductive discussions of intention. |
| 20033 | Intentions are normative, requiring commitment and further plans [Bratman, by Wilson/Schpall] |
| Full Idea: Intentions involve normative commitments. We settle on intended courses, if there is no reason to reconsider them, and intentions put pressure on us to form further intentions in order to more efficiently coordinate our actions. | |
| From: report of Michael Bratman (Intention, Plans, and Practical Reason [1987]) by Wilson,G/Schpall,S - Action 4 | |
| A reaction: [a compression of their summary] This distinguishes them from beliefs and desires, which contain no such normative requirements, even though they may point that way. |
| 20026 | Intention is either the aim of an action, or a long-term constraint on what we can do [Bratman, by Wilson/Schpall] |
| Full Idea: We need to distinguish intention as an aim or goal of actions, and intentions as a distinctive state of commitment to future action, a state that results from and subsequently constrains our practical endeavours as planning agents. | |
| From: report of Michael Bratman (Intention, Plans, and Practical Reason [1987]) by Wilson,G/Schpall,S - Action 2 | |
| A reaction: I'm not sure how distinct these are, given the obvious possibility of intermediate stages, and the embracing of any available short-cut. If I could mow my lawn with one blink, I'd do it. |
| 20032 | Bratman rejected reducing intentions to belief-desire, because they motivate, and have their own standards [Bratman, by Wilson/Schpall] |
| Full Idea: Bratman motivated the idea that intentions are psychologically real and not reducible to desire-belief complexes by observing that they are motivationally distinctive, and subject to their own unique standards of rational appraisal. | |
| From: report of Michael Bratman (Intention, Plans, and Practical Reason [1987]) by Wilson,G/Schpall,S - Action 4 | |
| A reaction: If I thought my belief was a bit warped, and my desire morally corrupt, my higher self might refuse to form an intention. If so, then Bratman is onto something. But maybe my higher self has its own beliefs and desires. |