17 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. |
| 17884 | 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) |
| 17893 | '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) |
| 17894 | 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) |
| 17890 | 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] |
| 17887 | 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. |
| 17891 | 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) |
| 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. |
| 7294 | No crime and no punishment without a law [Roman law] |
| Full Idea: An ancient principle of Roman law states, nullum crimen et nulla poene sine lege, - there is no crime and no punishment without a law. | |
| From: [Roman law] (Roman Law [c.100]), quoted by A.C. Grayling - Among the Dead Cities Ch.6 | |
| A reaction: That there is no 'punishment' without law seems the basis of civilization. Suppose a strong person imposed firm punishment in order to forestall more brutal revenge by others? What motivates the creation of criminal laws? |