68 ideas
| 23966 | The personal view can still be objective, so I call sciences 'impersonal', rather than objective [Goldie] |
| 9641 | Definitions should be replaceable by primitives, and should not be creative [Brown,JR] |
| 9634 | Set theory says that natural numbers are an actual infinity (to accommodate their powerset) [Brown,JR] |
| 9613 | Naïve set theory assumed that there is a set for every condition [Brown,JR] |
| 9615 | Nowadays conditions are only defined on existing sets [Brown,JR] |
| 9617 | The 'iterative' view says sets start with the empty set and build up [Brown,JR] |
| 9642 | A flock of birds is not a set, because a set cannot go anywhere [Brown,JR] |
| 9605 | If a proposition is false, then its negation is true [Brown,JR] |
| 9649 | Axioms are either self-evident, or stipulations, or fallible attempts [Brown,JR] |
| 9638 | Berry's Paradox finds a contradiction in the naming of huge numbers [Brown,JR] |
| 9604 | Mathematics is the only place where we are sure we are right [Brown,JR] |
| 9622 | 'There are two apples' can be expressed logically, with no mention of numbers [Brown,JR] |
| 9648 | π is a 'transcendental' number, because it is not the solution of an equation [Brown,JR] |
| 9621 | Mathematics represents the world through structurally similar models. [Brown,JR] |
| 9646 | There is no limit to how many ways something can be proved in mathematics [Brown,JR] |
| 9647 | Computers played an essential role in proving the four-colour theorem of maps [Brown,JR] |
| 9643 | Set theory may represent all of mathematics, without actually being mathematics [Brown,JR] |
| 9644 | When graphs are defined set-theoretically, that won't cover unlabelled graphs [Brown,JR] |
| 9625 | To see a structure in something, we must already have the idea of the structure [Brown,JR] |
| 9628 | Sets seem basic to mathematics, but they don't suit structuralism [Brown,JR] |
| 9606 | The irrationality of root-2 was achieved by intellect, not experience [Brown,JR] |
| 9612 | There is an infinity of mathematical objects, so they can't be physical [Brown,JR] |
| 9610 | Numbers are not abstracted from particulars, because each number is a particular [Brown,JR] |
| 9620 | Empiricists base numbers on objects, Platonists base them on properties [Brown,JR] |
| 9639 | Does some mathematics depend entirely on notation? [Brown,JR] |
| 9629 | For nomalists there are no numbers, only numerals [Brown,JR] |
| 9630 | The most brilliant formalist was Hilbert [Brown,JR] |
| 9608 | There are no constructions for many highly desirable results in mathematics [Brown,JR] |
| 9645 | Constructivists say p has no value, if the value depends on Goldbach's Conjecture [Brown,JR] |
| 9619 | David's 'Napoleon' is about something concrete and something abstract [Brown,JR] |
| 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] |
| 9611 | 'Abstract' nowadays means outside space and time, not concrete, not physical [Brown,JR] |
| 9609 | The older sense of 'abstract' is where 'redness' or 'group' is abstracted from particulars [Brown,JR] |
| 9640 | A term can have not only a sense and a reference, but also a 'computational role' [Brown,JR] |
| 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] |
| 9635 | Given atomism at one end, and a finite universe at the other, there are no physical infinities [Brown,JR] |
| 23993 | Our capabilities did not all evolve during the hunter gathering period [Goldie] |
| 1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |