19 ideas
21054 | Reason enables the unbounded extension of our rules and intentions [Kant] |
13886 | Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C] |
9845 | We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege] |
10019 | Only what is logically complex can be defined; what is simple must be pointed to [Frege] |
9390 | Logic guides thinking, but it isn't a substitute for it [Rumfitt] |
9886 | Cardinals say how many, and reals give measurements compared to a unit quantity [Frege] |
9889 | Real numbers are ratios of quantities [Frege, by Dummett] |
10553 | A number is a class of classes of the same cardinality [Frege, by Dummett] |
10020 | Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege] |
9887 | Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett] |
8751 | Only applicability raises arithmetic from a game to a science [Frege] |
9891 | The first demand of logic is of a sharp boundary [Frege] |
9389 | Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt] |
21053 | The manifest will in the world of phenomena has to conform to the laws of nature [Kant] |
9890 | The modern account of real numbers detaches a ratio from its geometrical origins [Frege] |
11846 | If we abstract the difference between two houses, they don't become the same house [Frege] |
21055 | Our aim is a constitution which combines maximum freedom with strong restraint [Kant] |
21056 | The vitality of business needs maximum freedom (while avoiding harm to others) [Kant] |
21057 | The highest ideal of social progress is a universal cosmopolitan existence [Kant] |