69 ideas
| 23966 | The personal view can still be objective, so I call sciences 'impersonal', rather than objective [Goldie] |
| 10482 | The logic of ZF is classical first-order predicate logic with identity [Boolos] |
| 10492 | A few axioms of set theory 'force themselves on us', but most of them don't [Boolos] |
| 18192 | Do the Replacement Axioms exceed the iterative conception of sets? [Boolos, by Maddy] |
| 7785 | The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos] |
| 10485 | Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos] |
| 10484 | The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos] |
| 13547 | Limitation of Size is weak (Fs only collect is something the same size does) or strong (fewer Fs than objects) [Boolos, by Potter] |
| 10699 | Does a bowl of Cheerios contain all its sets and subsets? [Boolos] |
| 14249 | Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley] |
| 10225 | Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro] |
| 10830 | Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos] |
| 10736 | Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo] |
| 10780 | Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo] |
| 10829 | A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos] |
| 10697 | Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos] |
| 10832 | '∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos] |
| 13671 | Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro] |
| 10267 | We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro] |
| 10698 | Plural forms have no more ontological commitment than to first-order objects [Boolos] |
| 7806 | Boolos invented plural quantification [Boolos, by Benardete,JA] |
| 10834 | Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos] |
| 13841 | Why should compactness be definitive of logic? [Boolos, by Hacking] |
| 10491 | Infinite natural numbers is as obvious as infinite sentences in English [Boolos] |
| 10483 | Mathematics and science do not require very high orders of infinity [Boolos] |
| 10833 | Many concepts can only be expressed by second-order logic [Boolos] |
| 10490 | Mathematics isn't surprising, given that we experience many objects as abstract [Boolos] |
| 16062 | A necessary relation between fact-levels seems to be a further irreducible fact [Lynch/Glasgow] |
| 16061 | If some facts 'logically supervene' on some others, they just redescribe them, adding nothing [Lynch/Glasgow] |
| 16060 | Nonreductive materialism says upper 'levels' depend on lower, but don't 'reduce' [Lynch/Glasgow] |
| 16064 | The hallmark of physicalism is that each causal power has a base causal power under it [Lynch/Glasgow] |
| 10700 | First- and second-order quantifiers are two ways of referring to the same things [Boolos] |
| 10488 | It is lunacy to think we only see ink-marks, and not word-types [Boolos] |
| 10487 | I am a fan of abstract objects, and confident of their existence [Boolos] |
| 10489 | We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos] |
| 24005 | We know other's emotions by explanation, contagion, empathy, imagination, or sympathy [Goldie] |
| 24006 | Empathy and imagining don't ensure sympathy, and sympathy doesn't need them [Goldie] |
| 23978 | 'Having an emotion' differs from 'being emotional' [Goldie] |
| 23973 | Unlike moods, emotions have specific objects, though the difference is a matter of degree [Goldie] |
| 23974 | Emotional intentionality as belief and desire misses out the necessity of feelings [Goldie] |
| 23972 | A long lasting and evolving emotion is still seen as a single emotion, such as love [Goldie] |
| 23992 | Some Aborigines have fifteen different words for types of fear [Goldie] |
| 23979 | Emotional responses can reveal to us our values, which might otherwise remain hidden [Goldie] |
| 23976 | If we have a 'feeling towards' an object, that gives the recognition a different content [Goldie] |
| 23977 | When actions are performed 'out of' emotion, they appear to be quite different [Goldie] |
| 23980 | It is best to see emotions holistically, as embedded in a person's life narrative [Goldie] |
| 23982 | If emotions are 'towards' things, they can't be bodily feelings, which lack aboutness [Goldie] |
| 24001 | Moods can focus as emotions, and emotions can blur into moods [Goldie] |
| 23968 | If reasons are seen impersonally (as just causal), then feelings are an irrelevant extra [Goldie] |
| 23969 | We have feelings of which we are hardly aware towards things in the world [Goldie] |
| 23984 | An emotion needs episodes of feeling, but not continuously [Goldie] |
| 23970 | Emotions are not avocado pears, with a rigid core and changeable surface [Goldie] |
| 23985 | A basic emotion is the foundation of a hierarchy, such as anger for types of annoyance [Goldie] |
| 23986 | Early Chinese basic emotions: joy, anger, sadness, fear, love, disliking, and liking [Goldie] |
| 23991 | Cross-cultural studies of facial expressions suggests seven basic emotions [Goldie] |
| 23967 | Some emotions are direct responses, and neither rational nor irrational [Goldie] |
| 23971 | Emotional thought is not rational, but it can be intelligible [Goldie] |
| 23975 | Learning an evaluative property like 'dangerous' is also learning an emotion [Goldie] |
| 23983 | We call emotions 'passions' because they are not as controlled as we would like [Goldie] |
| 23999 | Emotional control is hard, but we are responsible for our emotions over long time periods [Goldie] |
| 23994 | Emotions are not easily changed, as new knowledge makes little difference, and akrasia is possible [Goldie] |
| 23998 | Emotional control is less concerned with emotional incidents, and more with emotional tendencies [Goldie] |
| 8693 | An 'abstraction principle' says two things are identical if they are 'equivalent' in some respect [Boolos] |
| 23995 | Akrasia can be either overruling our deliberation, or failing to deliberate [Goldie] |
| 24000 | Justifying reasons say you were right; excusing reasons say your act was explicable [Goldie] |
| 24003 | Character traits are both possession of and lack of dispositions [Goldie] |
| 24002 | We over-estimate the role of character traits when explaining behaviour [Goldie] |
| 24004 | Psychologists suggest we are muddled about traits, and maybe they should be abandoned [Goldie] |
| 23993 | Our capabilities did not all evolve during the hunter gathering period [Goldie] |