60 ideas
| 1597 | Thales was the first western thinker to believe the arché was intelligible [Roochnik on Thales] |
| 20455 | Philosophy really got started as the rival mode of discourse to tragedy [Critchley] |
| 20446 | Philosophy begins in disappointment, notably in religion and politics [Critchley] |
| 6848 | Humour is practically enacted philosophy [Critchley] |
| 6847 | Humour can give a phenomenological account of existence, and point to change [Critchley] |
| 7068 | If infatuation with science leads to bad scientism, its rejection leads to obscurantism [Critchley] |
| 6844 | Scientism is the view that everything can be explained causally through scientific method [Critchley] |
| 20449 | Science gives us an excessively theoretical view of life [Critchley] |
| 7075 | To meet the division in our life, try the Subject, Nature, Spirit, Will, Power, Praxis, Unconscious, or Being [Critchley] |
| 7069 | The French keep returning, to Hegel or Nietzsche or Marx [Critchley] |
| 6835 | German idealism aimed to find a unifying principle for Kant's various dualisms [Critchley] |
| 6837 | Since Hegel, continental philosophy has been linked with social and historical enquiry. [Critchley] |
| 6836 | Continental philosophy fights the threatened nihilism in the critique of reason [Critchley] |
| 6838 | Continental philosophy is based on critique, praxis and emancipation [Critchley] |
| 6845 | Continental philosophy has a bad tendency to offer 'one big thing' to explain everything [Critchley] |
| 6846 | Phenomenology is a technique of redescription which clarifies our social world [Critchley] |
| 20448 | Phenomenology uncovers and redescribes the pre-theoretical layer of life [Critchley] |
| 9935 | Mathematical truth is always compromising between ordinary language and sensible epistemology [Benacerraf] |
| 13412 | Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf] |
| 13413 | We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf] |
| 9912 | There are no such things as numbers [Benacerraf] |
| 9901 | Numbers can't be sets if there is no agreement on which sets they are [Benacerraf] |
| 13411 | If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf] |
| 9151 | Benacerraf says numbers are defined by their natural ordering [Benacerraf, by Fine,K] |
| 13891 | To understand finite cardinals, it is necessary and sufficient to understand progressions [Benacerraf, by Wright,C] |
| 17904 | A set has k members if it one-one corresponds with the numbers less than or equal to k [Benacerraf] |
| 17906 | To explain numbers you must also explain cardinality, the counting of things [Benacerraf] |
| 9898 | We can count intransitively (reciting numbers) without understanding transitive counting of items [Benacerraf] |
| 17903 | Someone can recite numbers but not know how to count things; but not vice versa [Benacerraf] |
| 9897 | The application of a system of numbers is counting and measurement [Benacerraf] |
| 9900 | For Zermelo 3 belongs to 17, but for Von Neumann it does not [Benacerraf] |
| 9899 | The successor of x is either x and all its members, or just the unit set of x [Benacerraf] |
| 8697 | Disputes about mathematical objects seem irrelevant, and mathematicians cannot resolve them [Benacerraf, by Friend] |
| 8304 | No particular pair of sets can tell us what 'two' is, just by one-to-one correlation [Benacerraf, by Lowe] |
| 9906 | If ordinal numbers are 'reducible to' some set-theory, then which is which? [Benacerraf] |
| 13415 | An adequate account of a number must relate it to its series [Benacerraf] |
| 9907 | If any recursive sequence will explain ordinals, then it seems to be the structure which matters [Benacerraf] |
| 9908 | The job is done by the whole system of numbers, so numbers are not objects [Benacerraf] |
| 9909 | The number 3 defines the role of being third in a progression [Benacerraf] |
| 9911 | Number words no more have referents than do the parts of a ruler [Benacerraf] |
| 8925 | Mathematical objects only have properties relating them to other 'elements' of the same structure [Benacerraf] |
| 9938 | How can numbers be objects if order is their only property? [Benacerraf, by Putnam] |
| 9910 | Number-as-objects works wholesale, but fails utterly object by object [Benacerraf] |
| 17927 | Realists have semantics without epistemology, anti-realists epistemology but bad semantics [Benacerraf, by Colyvan] |
| 9936 | The platonist view of mathematics doesn't fit our epistemology very well [Benacerraf] |
| 9903 | Number words are not predicates, as they function very differently from adjectives [Benacerraf] |
| 9904 | The set-theory paradoxes mean that 17 can't be the class of all classes with 17 members [Benacerraf] |
| 9905 | Identity statements make sense only if there are possible individuating conditions [Benacerraf] |
| 3013 | Nothing is stronger than necessity, which rules everything [Thales, by Diog. Laertius] |
| 20454 | Wallace Stevens is the greatest philosophical poet of the twentieth century in English [Critchley] |
| 20456 | Interesting art is always organised around ethical demands [Critchley] |
| 20447 | The problems is not justifying ethics, but motivating it. Why should a self seek its good? [Critchley] |
| 7067 | Food first, then ethics [Critchley] |
| 6843 | Perceiving meaninglessness is an achievement, which can transform daily life [Critchley] |
| 20452 | Anarchism used to be libertarian (especially for sexuality), but now concerns responsibility [Critchley] |
| 20450 | The state, law, bureaucracy and capital are limitations on life, so I prefer federalist anarchism [Critchley] |
| 20451 | Belief that humans are wicked leads to authoritarian politics [Critchley] |
| 1494 | Thales said water is the first principle, perhaps from observing that food is moist [Thales, by Aristotle] |
| 1713 | Thales must have thought soul causes movement, since he thought magnets have soul [Thales, by Aristotle] |
| 1742 | Thales said the gods know our wrong thoughts as well as our evil actions [Thales, by Diog. Laertius] |