61 ideas
7834 | Great philosophies are confessions by the author, growing out of moral intentions [Nietzsche] |
6211 | Laughter is a sudden glory in realising the infirmity of others, or our own formerly [Hobbes] |
7080 | Metaphysics divided the old unified Greek world into two [Nietzsche, by Critchley] |
11090 | Why do we want truth, rather than falsehood or ignorance? The value of truth is a problem [Nietzsche] |
17749 | Post proved the consistency of propositional logic in 1921 [Walicki] |
17765 | Propositional language can only relate statements as the same or as different [Walicki] |
17764 | Boolean connectives are interpreted as functions on the set {1,0} [Walicki] |
17752 | The empty set is useful for defining sets by properties, when the members are not yet known [Walicki] |
17753 | The empty set avoids having to take special precautions in case members vanish [Walicki] |
17759 | Ordinals play the central role in set theory, providing the model of well-ordering [Walicki] |
17741 | To determine the patterns in logic, one must identify its 'building blocks' [Walicki] |
17747 | A 'model' of a theory specifies interpreting a language in a domain to make all theorems true [Walicki] |
17748 | The L-S Theorem says no theory (even of reals) says more than a natural number theory [Walicki] |
17761 | A compact axiomatisation makes it possible to understand a field as a whole [Walicki] |
17763 | Axiomatic systems are purely syntactic, and do not presuppose any interpretation [Walicki] |
17758 | Ordinals are transitive sets of transitive sets; or transitive sets totally ordered by inclusion [Walicki] |
17755 | Ordinals are the empty set, union with the singleton, and any arbitrary union of ordinals [Walicki] |
17756 | The union of finite ordinals is the first 'limit ordinal'; 2ω is the second... [Walicki] |
17760 | Two infinite ordinals can represent a single infinite cardinal [Walicki] |
17757 | Members of ordinals are ordinals, and also subsets of ordinals [Walicki] |
17762 | In non-Euclidean geometry, all Euclidean theorems are valid that avoid the fifth postulate [Walicki] |
17754 | Inductive proof depends on the choice of the ordering [Walicki] |
7079 | Nietzsche resists nihilism through new values, for a world of becoming, without worship [Nietzsche, by Critchley] |
17742 | Scotus based modality on semantic consistency, instead of on what the future could allow [Walicki] |
2878 | We see an approximation of a tree, not the full detail [Nietzsche] |
20140 | We shouldn't object to a false judgement, if it enhances and preserves life [Nietzsche] |
2877 | Morality becomes a problem when we compare many moralities [Nietzsche] |
20355 | The ranking of a person's innermost drives reveals their true nature [Nietzsche] |
2291 | A thought comes when 'it' wants, not when 'I' want [Nietzsche] |
2871 | Wanting 'freedom of will' is wanting to pull oneself into existence out of the swamp of nothingness by one's own hair [Nietzsche] |
6213 | A man cannot will to will, or will to will to will, so the idea of a voluntary will is absurd [Hobbes] |
6208 | Conceptions and apparitions are just motion in some internal substance of the head [Hobbes] |
20381 | It is psychology which reveals the basic problems [Nietzsche] |
2860 | The most boring and dangerous of all errors is Plato's invention of pure spirit and goodness [Nietzsche] |
1568 | Nietzsche felt that Plato's views downgraded the human body and its brevity of life [Nietzsche, by Roochnik] |
2883 | Noble people see themselves as the determiners of values [Nietzsche] |
23440 | Nietzsche's judgement of actions by psychology instead of outcome was poisonous [Foot on Nietzsche] |
2875 | That which is done out of love always takes place beyond good and evil [Nietzsche] |
2868 | Nature is totally indifferent, so you should try to be different from it, not live by it [Nietzsche] |
6209 | There is no absolute good, for even the goodness of God is goodness to us [Hobbes] |
2882 | Morality originally judged people, and actions only later on [Nietzsche] |
2872 | In the earliest phase of human history only consequences mattered [Nietzsche] |
6210 | Life has no end (not even happiness), because we have desires, which presuppose a further end [Hobbes] |
2885 | The noble soul has reverence for itself [Nietzsche] |
20134 | Moralities extravagantly address themselves to 'all', by falsely generalising [Nietzsche] |
2881 | Virtue has been greatly harmed by the boringness of its advocates [Nietzsche] |
20382 | The four virtues are courage, insight, sympathy, solitude [Nietzsche] |
2879 | In ancient Rome pity was considered neither good nor bad [Nietzsche] |
2859 | The idea of the categorical imperative is just that we should all be very obedient [Nietzsche] |
2884 | The morality of slaves is the morality of utility [Nietzsche] |
2880 | The greatest possibilities in man are still unexhausted [Nietzsche] |
2876 | The thought of suicide is a great reassurance on bad nights [Nietzsche] |
7078 | The freedom of the subject means the collapse of moral certainty [Nietzsche, by Critchley] |
2874 | Man is the animal whose nature has not yet been fixed [Nietzsche] |
6869 | Nietzsche thinks the human condition is to overcome and remake itself [Nietzsche, by Ansell Pearson] |
20137 | The great person engages wholly with life, and is happy to endlessly relive the life they created [Nietzsche] |
20139 | Only aristocratic societies can elevate the human species [Nietzsche] |
20373 | A healthy aristocracy has no qualms about using multitudes of men as instruments [Nietzsche] |
22394 | Democracy diminishes mankind, making them mediocre and lowering their value [Nietzsche] |
6212 | Lust involves pleasure, and also the sense of power in pleasing others [Hobbes] |
2867 | Christianity is Platonism for the people [Nietzsche] |