65 ideas
22223 | Being-in-the-world is projection to possibilities, thrownness among them, and fallenness within them [Heidegger, by Caputo] |
22158 | Pheomenology seeks things themselves, without empty theories, problems and concepts [Heidegger] |
15574 | 'Logos' really means 'making something manifest' [Heidegger, by Polt] |
22289 | Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter] |
15569 | Heidegger says truth is historical, and never absolute [Heidegger, by Polt] |
10183 | An infinite set maps into its own proper subset [Dedekind, by Reck/Price] |
22288 | We have the idea of self, and an idea of that idea, and so on, so infinite ideas are available [Dedekind, by Potter] |
10706 | Dedekind originally thought more in terms of mereology than of sets [Dedekind, by Potter] |
9823 | Numbers are free creations of the human mind, to understand differences [Dedekind] |
10090 | Dedekind defined the integers, rationals and reals in terms of just the natural numbers [Dedekind, by George/Velleman] |
17452 | Ordinals can define cardinals, as the smallest ordinal that maps the set [Dedekind, by Heck] |
7524 | Order, not quantity, is central to defining numbers [Dedekind, by Monk] |
14131 | Dedekind's ordinals are just members of any progression whatever [Dedekind, by Russell] |
14437 | Dedekind's axiom that his Cut must be filled has the advantages of theft over honest toil [Dedekind, by Russell] |
18094 | Dedekind says each cut matches a real; logicists say the cuts are the reals [Dedekind, by Bostock] |
9824 | In counting we see the human ability to relate, correspond and represent [Dedekind] |
9826 | A system S is said to be infinite when it is similar to a proper part of itself [Dedekind] |
13508 | Dedekind gives a base number which isn't a successor, then adds successors and induction [Dedekind, by Hart,WD] |
18096 | Zero is a member, and all successors; numbers are the intersection of sets satisfying this [Dedekind, by Bostock] |
18841 | Categoricity implies that Dedekind has characterised the numbers, because it has one domain [Rumfitt on Dedekind] |
14130 | Induction is proved in Dedekind, an axiom in Peano; the latter seems simpler and clearer [Dedekind, by Russell] |
8924 | Dedekind originated the structuralist conception of mathematics [Dedekind, by MacBride] |
9153 | Dedekindian abstraction talks of 'positions', where Cantorian abstraction talks of similar objects [Dedekind, by Fine,K] |
21897 | Reducing being to the study of beings too readily accepts the modern scientific view [Heidegger, by May] |
15573 | For us, Being is constituted by awareness of other sorts of Being [Heidegger] |
9273 | Heidegger turns to 'Being' to affirm the uniqueness of humans in the world [Heidegger, by Gray] |
22157 | Dasein is a mode of Being distinguished by concern for its own Being [Heidegger] |
8137 | Dasein is ahead of itself in the world, and alongside encountered entities [Heidegger] |
21951 | In company with others one's Dasein dissolves, and even the others themselves dissolve [Heidegger] |
20745 | 'Dasein' expresses not 'what' the entity is, but its being [Heidegger] |
8134 | The word 'dasein' is used to mean 'the manner of Being which man possesses', and also the human creature [Heidegger, by Cooper,DE] |
8135 | 'Dasein' is Being which is laid claim to, and which matters to its owner [Heidegger, by Cooper,DE] |
21948 | Dasein is being which can understand itself, and possess itself in a way allowing authenticity [Heidegger] |
7680 | Ontology is possible only as phenomenology [Heidegger] |
22161 | Readiness-to-hand defines things in themselves ontologically [Heidegger] |
9825 | A thing is completely determined by all that can be thought concerning it [Dedekind] |
15576 | Heidegger seeks a non-traditional concept of essence as 'essential unfolding' [Heidegger, by Polt] |
15578 | Propositions don't provide understanding, because the understanding must come first [Heidegger, by Polt] |
22159 | If we posit 'I' as the starting point, we miss the mind's phenomenal content [Heidegger] |
22160 | Our relationship to a hammer strengthens when we use [Heidegger] |
15580 | There are no raw sense-data - our experiences are of the sound or colour of something [Heidegger] |
3296 | Sense-data are a false objectification of what is essentially subjective [Nagel] |
20749 | Perceived objects always appear in a context [Heidegger] |
22163 | The scandal of philosophy is expecting to prove reality when the prover's Being is vague [Heidegger] |
3295 | Inner v outer brings astonishment that we are a particular person [Nagel] |
21949 | Having thoughts and feelings need engagement in the world [Heidegger, by Wrathall] |
22222 | Dasein finds itself already amongst others [Heidegger, by Caputo] |
8136 | If we work and play with other people, they are bound to be 'Dasein', intelligent agents [Heidegger, by Cooper,DE] |
22164 | When Dasein grasps something it exists externally alongside the thing [Heidegger] |
3293 | If you assert that we have an ego, you can still ask if that future ego will be me [Nagel] |
22162 | There is an everyday self, and an authentic self, when it is grasped in its own way [Heidegger] |
20114 | Everyone is other, and no one is himself [Heidegger] |
3292 | The most difficult problem of free will is saying what the problem is [Nagel] |
15577 | Moods are more fundamentally revealing than theories - as when fear reveals a threat [Heidegger, by Polt] |
9189 | Dedekind said numbers were abstracted from systems of objects, leaving only their position [Dedekind, by Dummett] |
9827 | We derive the natural numbers, by neglecting everything of a system except distinctness and order [Dedekind] |
9979 | Dedekind has a conception of abstraction which is not psychologistic [Dedekind, by Tait] |
20748 | We do not add value to naked things; its involvement is disclosed in understanding it [Heidegger] |
3294 | As far as possible we should become instruments to realise what is best from an eternal point of view [Nagel] |
22166 | Dasein has the potential to be itself, but must be shown this in the midst of ordinariness [Heidegger] |
22165 | Anxiety reveals the possibility and individuality of Dasein [Heidegger] |
21952 | Anxiety about death frees me to live my own life [Heidegger, by Wrathall] |
22224 | Anxiety is the uncanniness felt when constantly fleeing from asserting one's own freedom [Heidegger, by Caputo] |
15572 | Being what it is (essentia) must be conceived in terms of Being (existence) [Heidegger] |
20453 | Heidegger says we must either choose an inauthentic hero, or choose yourself as hero [Heidegger, by Critchley] |