13 ideas
| 6253 | Reason is our power of finding out true propositions [Hutcheson] |
| Full Idea: Reason is our power of finding out true propositions. | |
| From: Francis Hutcheson (Treatise 4: The Moral Sense [1728], §I) | |
| A reaction: This strikes me as a very good definition. I don't see how you can define reason without mentioning truth, and you can't believe in reason if you don't believe in truth. The concept of reason entails the concept of a good reason. |
| 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) |
| 16755 | The possible Aristotelian view that forms are real and active principles is clearly wrong [Fine,K, by Pasnau] |
| Full Idea: Aristotle seems to have a possible basis for the belief [in individual forms], namely that forms are real and active principles in the world, which is denied by any right-minded modern. | |
| From: report of Kit Fine (A Puzzle Concerning Matter and Form [1994], p.19) by Robert Pasnau - Metaphysical Themes 1274-1671 24.3 n8 | |
| A reaction: Pasnau says this is the view of forms promoted by the scholastics, whereas Aristotle's own view should be understood as 'metaphysical'. |
| 6256 | Can't the moral sense make mistakes, as the other senses do? [Hutcheson] |
| Full Idea: Can there not be a right and wrong state of our moral sense, as there is in our other senses? | |
| From: Francis Hutcheson (Treatise 4: The Moral Sense [1728], §IV) | |
| A reaction: Hutcheson replies by saying something like they are both fully reliable in normal conditions. It remains, though, a very good question for the intuitionist to face, as the moral sense is supposed to be direct and reliable, but how do you check? |
| 6252 | Happiness is a pleasant sensation, or continued state of such sensations [Hutcheson] |
| Full Idea: In the following discourse, happiness denotes pleasant sensation of any kind, or continued state of such sensations. | |
| From: Francis Hutcheson (Treatise 4: The Moral Sense [1728], Intro) | |
| A reaction: This is a very long way from Greek eudaimonia. Hutcheson seems to imply that I would be happy if I got high on drugs after my family had just burnt to death. Socrates points out that scratching an itch is a very pleasant sensation (Idea 132). |
| 6257 | You can't form moral rules without an end, which needs feelings and a moral sense [Hutcheson] |
| Full Idea: What rule of actions can be formed, without relation to some end proposed? Or what end can be proposed, without presupposing instincts, desires, affections, or a moral sense, it will not be easy to explain. | |
| From: Francis Hutcheson (Treatise 4: The Moral Sense [1728], §IV) | |
| A reaction: We have no reason to think that 'instincts, desires and affections' will give us the remotest guidance on how to behave morally well (though we would expect them to aid our survival). How could a moral sense give a reason, without spotting a rule? |
| 6254 | We are asked to follow God's ends because he is our benefactor, but why must we do that? [Hutcheson] |
| Full Idea: The reasons assigned for actions are such as 'It is the end proposed by the Deity'. But why do we approve concurring with the divine ends? The reason is given 'He is our benefactor', but then, for what reason do we approve concurrence with a benefactor? | |
| From: Francis Hutcheson (Treatise 4: The Moral Sense [1728], §I) | |
| A reaction: Characteristic of what MacIntyre calls the 'Enlightenment Project', which is the application of Cartesian scepticism to proving the foundations of morals. Proof beyond proof is continually demanded. If you could meet God, you would obey without question. |
| 6255 | Why may God not have a superior moral sense very similar to ours? [Hutcheson] |
| Full Idea: Why may not the Deity have something of a superior kind, analogous to our moral sense, essential to him? | |
| From: Francis Hutcheson (Treatise 4: The Moral Sense [1728], §I) | |
| A reaction: This is Plato's notion of the gods, as beings who are profoundly wise, and understand all the great moral truths, but are not the actual originators of those truths. The idea that God creates morality actually serves to undermine morality. |