35 ideas
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] |
23853 | Truth is not a object we love - it is the radiant manifestation of reality [Weil] |
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] |
23855 | Creation produced a network or web of determinations [Weil] |
9891 | The first demand of logic is of a sharp boundary [Frege] |
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] |
23848 | The aesthete's treatment of beauty as amusement is sacreligious; beauty should nourish [Weil] |
23854 | Beauty is the proof of what is good [Weil] |
23837 | Respect is our only obligation, which can only be expressed through deeds, not words [Weil] |
23844 | The most important human need is to have multiple roots [Weil] |
23838 | The need for order stands above all others, and is understood via the other needs [Weil] |
23836 | Obligations only bind individuals, not collectives [Weil] |
23840 | A citizen should be able to understand the whole of society [Weil] |
23843 | Even the poorest should feel collective ownership, and participation in grand display [Weil] |
23846 | Culture is an instrument for creating an ongoing succession of teachers [Weil] |
23839 | A lifelong head of society should only be a symbol, not a ruler [Weil] |
23842 | Party politics in a democracy can't avoid an anti-democratic party [Weil] |
23847 | Socialism tends to make a proletariat of the whole population [Weil] |
23845 | The capitalists neglect the people and the nation, and even their own interests [Weil] |
23841 | By making money the sole human measure, inequality has become universal [Weil] |
23835 | People have duties, and only have rights because of the obligations of others to them [Weil] |
23852 | To punish people we must ourselves be innocent - but that undermines the desire to punish [Weil] |
23850 | The soldier-civilian distinction should be abolished; every citizen is committed to a war [Weil] |
23851 | Education is essentially motivation [Weil] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
23849 | Religion should quietly suffuse all human life with its light [Weil] |