50 ideas
22216 | Phenomenology studies different types of correlation between consciousness and its objects [Husserl, by Bernet] |
21217 | Phenomenology needs absolute reflection, without presuppositions [Husserl] |
22218 | There can only be a science of fluctuating consciousness if it focuses on stable essences [Husserl, by Bernet] |
22217 | Phenomenology aims to validate objects, on the basis of intentional intuitive experience [Husserl, by Bernet] |
22219 | Husserl saw transcendental phenomenology as idealist, in its construction of objects [Husserl, by Bernet] |
22204 | Start philosophising with no preconceptions, from the intuitively non-theoretical self-given [Husserl] |
22207 | Epoché or 'bracketing' is refraining from judgement, even when some truths are certain [Husserl] |
22208 | 'Bracketing' means no judgements at all about spatio-temporal existence [Husserl] |
22210 | After everything is bracketed, consciousness still has a unique being of its own [Husserl] |
22215 | Phenomenology describes consciousness, in the light of pure experiences [Husserl] |
22289 | Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter] |
22201 | The use of mathematical-style definitions in philosophy is fruitless and harmful [Husserl] |
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] |
22209 | Our goal is to reveal a new hidden region of Being [Husserl] |
22211 | As a thing and its perception are separated, two modes of Being emerge [Husserl] |
22202 | The World is all experiencable objects [Husserl] |
22213 | Absolute reality is an absurdity [Husserl] |
9825 | A thing is completely determined by all that can be thought concerning it [Dedekind] |
21218 | The sense of anything contingent has a purely apprehensible essence or Eidos [Husserl] |
19263 | Imagine an object's properties varying; the ones that won't vary are the essential ones [Husserl, by Vaidya] |
21220 | The physical given, unlike the mental given, could be non-existing [Husserl] |
22205 | Feelings of self-evidence (and necessity) are just the inventions of theory [Husserl] |
21221 | Direct 'seeing' by consciousness is the ultimate rational legitimation [Husserl] |
22220 | The phenomena of memory are given in the present, but as being past [Husserl, by Bernet] |
22206 | Natural science has become great by just ignoring ancient scepticism [Husserl] |
22221 | We know another's mind via bodily expression, while also knowing it is inaccessible [Husserl, by Bernet] |
22212 | Pure consciousness is a sealed off system of actual Being [Husserl] |
22214 | We never meet the Ego, as part of experience, or as left over from experience [Husserl] |
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] |
22203 | Only facts follow from facts [Husserl] |
467 | A virtue is a combination of intelligence, strength and luck [Ion] |