52 ideas
13786 | Wisdom is called 'beautiful', because it performs fine works [Plato] |
13780 | Good people are no different from wise ones [Plato] |
21955 | My dogmatic slumber was first interrupted by David Hume [Kant] |
16931 | Metaphysics is generating a priori knowledge by intuition and concepts, leading to the synthetic [Kant] |
13778 | A dialectician is someone who knows how to ask and to answer questions [Plato] |
13776 | Truths say of what is that it is, falsehoods say of what is that it is not [Plato] |
17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
13777 | A name is a sort of tool [Plato] |
13790 | A name-giver might misname something, then force other names to conform to it [Plato] |
13791 | Things must be known before they are named, so it can't be the names that give us knowledge [Plato] |
13789 | Anyone who knows a thing's name also knows the thing [Plato] |
17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
16918 | Mathematics cannot proceed just by the analysis of concepts [Kant] |
16919 | Geometry rests on our intuition of space [Kant] |
16930 | Geometry is not analytic, because a line's being 'straight' is a quality [Kant] |
16920 | Numbers are formed by addition of units in time [Kant] |
16929 | 7+5 = 12 is not analytic, because no analysis of 7+5 will reveal the concept of 12 [Kant] |
17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
16910 | Mathematics can only start from an a priori intuition which is not empirical but pure [Kant] |
16917 | All necessary mathematical judgements are based on intuitions of space and time [Kant] |
16928 | Mathematics cannot be empirical because it is necessary, and that has to be a priori [Kant] |
2063 | How can beauty have identity if it changes? [Plato] |
13775 | We only succeed in cutting if we use appropriate tools, not if we approach it randomly [Plato] |
13787 | Doesn't each thing have an essence, just as it has other qualities? [Plato] |
11833 | The substance, once the predicates are removed, remains unknown to us [Kant] |
13774 | Things don't have every attribute, and essence isn't private, so each thing has an essence [Plato] |
13772 | Is the being or essence of each thing private to each person? [Plato] |
13788 | If we made a perfect duplicate of Cratylus, there would be two Cratyluses [Plato] |
21957 | 'Transcendental' concerns how we know, rather than what we know [Kant] |
16923 | I admit there are bodies outside us [Kant] |
21441 | 'Transcendental' is not beyond experience, but a prerequisite of experience [Kant] |
16916 | A priori synthetic knowledge is only of appearances, not of things in themselves [Kant] |
16915 | A priori intuitions can only concern the objects of our senses [Kant] |
16914 | A priori intuition of objects is only possible by containing the form of my sensibility [Kant] |
21447 | I can make no sense of the red experience being similar to the quality in the object [Kant] |
16924 | I count the primary features of things (as well as the secondary ones) as mere appearances [Kant] |
16913 | I can't intuit a present thing in itself, because the properties can't enter my representations [Kant] |
16925 | Appearance gives truth, as long as it is only used within experience [Kant] |
16911 | Intuition is a representation that depends on the presence of the object [Kant] |
13792 | There can't be any knowledge if things are constantly changing [Plato] |
13781 | Soul causes the body to live, and gives it power to breathe and to be revitalized [Plato] |
16912 | Some concepts can be made a priori, which are general thoughts of objects, like quantity or cause [Kant] |
16926 | Analytic judgements say clearly what was in the concept of the subject [Kant] |
16927 | Analytic judgement rests on contradiction, since the predicate cannot be denied of the subject [Kant] |
13785 | 'Arete' signifies lack of complexity and a free-flowing soul [Plato] |
16922 | Space must have three dimensions, because only three lines can meet at right angles [Kant] |
16921 | If all empirical sensation of bodies is removed, space and time are still left [Kant] |
13779 | The natural offspring of a lion is called a 'lion' (but what about the offspring of a king?) [Plato] |
13783 | Even the gods love play [Plato] |