79 ideas
19441 | All philosophies presuppose their historical moment, and arise from it [Feuerbach] |
19456 | Philosophy is distinguished from other sciences by its complete lack of presuppositions [Feuerbach] |
19442 | I don't study Plato for his own sake; the primary aim is always understanding [Feuerbach] |
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] |
19444 | Each proposition has an antithesis, and truth exists as its refutation [Feuerbach] |
19445 | A dialectician has to be his own opponent [Feuerbach] |
15924 | Predicative definitions are acceptable in mathematics if they distinguish objects, rather than creating them? [Zermelo, by Lavine] |
19443 | Truth forges an impersonal unity between people [Feuerbach] |
17608 | We take set theory as given, and retain everything valuable, while avoiding contradictions [Zermelo] |
17607 | Set theory investigates number, order and function, showing logical foundations for mathematics [Zermelo] |
10870 | ZFC: Existence, Extension, Specification, Pairing, Unions, Powers, Infinity, Choice [Zermelo, by Clegg] |
13012 | Zermelo published his axioms in 1908, to secure a controversial proof [Zermelo, by Maddy] |
17609 | Set theory can be reduced to a few definitions and seven independent axioms [Zermelo] |
9565 | Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara] |
3339 | For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn] |
17832 | Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M] |
13017 | Zermelo introduced Pairing in 1930, and it seems fairly obvious [Zermelo, by Maddy] |
13028 | Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy] |
13015 | Zermelo used Foundation to block paradox, but then decided that only Separation was needed [Zermelo, by Maddy] |
13020 | The Axiom of Separation requires set generation up to one step back from contradiction [Zermelo, by Maddy] |
13486 | Not every predicate has an extension, but Separation picks the members that satisfy a predicate [Zermelo, by Hart,WD] |
17626 | The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo] |
13487 | In ZF, the Burali-Forti Paradox proves that there is no set of all ordinals [Zermelo, by Hart,WD] |
15897 | Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine] |
18178 | For Zermelo the successor of n is {n} (rather than n U {n}) [Zermelo, by Maddy] |
13027 | Zermelo believed, and Von Neumann seemed to confirm, that numbers are sets [Zermelo, by Maddy] |
9627 | Different versions of set theory result in different underlying structures for numbers [Zermelo, by Brown,JR] |
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] |
19446 | To our consciousness it is language which looks unreal [Feuerbach] |
17377 | All descriptive language is classificatory [Dupré] |
17376 | We should aim for a classification which tells us as much as possible about the object [Dupré] |
17390 | Natural kinds don't need essentialism to be explanatory [Dupré] |
17389 | A species might have its essential genetic mechanism replaced by a new one [Dupré] |
17388 | It seems that species lack essential properties, so they can't be natural kinds [Dupré] |
6908 | Consciousness is absolute reality, and everything exists through consciousness [Feuerbach] |
19447 | The Absolute is the 'and' which unites 'spirit and nature' [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] |
17374 | The possibility of prediction rests on determinism [Dupré] |
19451 | When absorbed in deep reflection, is your reason in control, or is it you? [Feuerbach] |
17613 | We should judge principles by the science, not science by some fixed principles [Zermelo] |
17378 | Presumably molecular structure seems important because we never have the Twin Earth experience [Dupré] |
6925 | The new philosophy thinks of the concrete in a concrete (not a abstract) manner [Feuerbach] |
6924 | Plotinus was ashamed to have a body [Feuerbach] |
6927 | If you love nothing, it doesn't matter whether something exists or not [Feuerbach] |
19450 | Reason, love and will are the highest perfections and essence of man - the purpose of his life [Feuerbach] |
19458 | Egoism is the only evil, love the only good; genuine love produces all the other virtues [Feuerbach] |
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] |
17381 | Phylogenetics involves history, and cladism rests species on splits in lineage [Dupré] |
17385 | Kinds don't do anything (including evolve) because they are abstract [Dupré] |
17375 | Natural kinds are decided entirely by the intentions of our classification [Dupré] |
17379 | Borders between species are much less clear in vegetables than among animals [Dupré] |
17384 | Even atoms of an element differ, in the energy levels of their electrons [Dupré] |
17387 | Ecologists favour classifying by niche, even though that can clash with genealogy [Dupré] |
17382 | Cooks, unlike scientists, distinguish garlic from onions [Dupré] |
17380 | Wales may count as fish [Dupré] |
19448 | Consciousness is said to distinguish man from animals - consciousness of his own species [Feuerbach] |
17383 | Species are the lowest-level classification in biology [Dupré] |
17386 | The theory of evolution is mainly about species [Dupré] |
19454 | A God needs justice, kindness and wisdom, but those concepts don't depend on the concept of God [Feuerbach] |
6913 | God's existence cannot be separated from essence and concept, which can only be thought as existing [Feuerbach] |
19452 | The nature of God is an expression of human nature [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] |
19453 | If love, goodness and personality are human, the God who is their source is anthropomorphic [Feuerbach] |
6902 | Catholicism concerns God in himself, Protestantism what God is for man [Feuerbach] |
19449 | Religion is the consciousness of the infinite [Feuerbach] |
6905 | Absolute idealism is the realized divine mind of Leibnizian theism [Feuerbach] |
19455 | Today's atheism will tomorrow become a religion [Feuerbach] |