48 ideas
6928 | Only that which can be an object of religion is an object of philosophy [Feuerbach] |
6918 | Philosophy should not focus on names, but on the determined nature of things [Feuerbach] |
6904 | Modern philosophy begins with Descartes' abstraction from sensation and matter [Feuerbach] |
6931 | Empiricism is right about ideas, but forgets man himself as one of our objects [Feuerbach] |
6933 | The laws of reality are also the laws of thought [Feuerbach] |
22289 | Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter] |
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] |
7524 | Order, not quantity, is central to defining numbers [Dedekind, by Monk] |
17452 | Ordinals can define cardinals, as the smallest ordinal that maps the set [Dedekind, by Heck] |
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] |
6919 | Absolute thought remains in another world from being [Feuerbach] |
19457 | Being is what is undetermined, and hence indistinguishable [Feuerbach] |
6920 | Being posits essence, and my essence is my being [Feuerbach] |
6921 | Particularity belongs to being, whereas generality belongs to thought [Feuerbach] |
6926 | The only true being is of the senses, perception, feeling and love [Feuerbach] |
9825 | A thing is completely determined by all that can be thought concerning it [Dedekind] |
6908 | Consciousness is absolute reality, and everything exists through consciousness [Feuerbach] |
6932 | Ideas arise through communication, and reason is reached through community [Feuerbach] |
6935 | In man the lowest senses of smell and taste elevate themselves to intellectual acts [Feuerbach] |
6925 | The new philosophy thinks of the concrete in a concrete (not a abstract) manner [Feuerbach] |
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] |
6924 | Plotinus was ashamed to have a body [Feuerbach] |
6927 | If you love nothing, it doesn't matter whether something exists or not [Feuerbach] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
6934 | Man is not a particular being, like animals, but a universal being [Feuerbach] |
6936 | The essence of man is in community, but with distinct individuals [Feuerbach] |
6913 | God's existence cannot be separated from essence and concept, which can only be thought as existing [Feuerbach] |
6903 | If God is only an object for man, then only the essence of man is revealed in God [Feuerbach] |
6923 | God is what man would like to be [Feuerbach] |
6911 | God is for us a mere empty idea, which we fill with our own ego and essence [Feuerbach] |
6902 | Catholicism concerns God in himself, Protestantism what God is for man [Feuerbach] |
6905 | Absolute idealism is the realized divine mind of Leibnizian theism [Feuerbach] |