55 ideas
9307 | Modern Western culture suddenly appeared in Jena in the 1790s [Svendsen] |
8927 | Philosophy moves essentially in the element of universality [Hegel] |
21776 | Philosophy aims to reveal the necessity and rationality of the categories of nature and spirit [Hegel, by Houlgate] |
9297 | You can't understand love in terms of 'if and only if...' [Svendsen] |
8935 | Without philosophy, science is barren and futile [Hegel] |
22082 | Truth does not appear by asserting reasons and then counter-reasons [Hegel] |
22035 | The structure of reason is a social and historical achievement [Hegel, by Pinkard] |
8932 | Truth does not come from giving reasons for and against propositions [Hegel] |
7077 | The true is the whole [Hegel] |
10775 | The axiom of choice now seems acceptable and obvious (if it is meaningful) [Tharp] |
10766 | Logic is either for demonstration, or for characterizing structures [Tharp] |
10767 | Elementary logic is complete, but cannot capture mathematics [Tharp] |
10769 | Second-order logic isn't provable, but will express set-theory and classic problems [Tharp] |
10762 | In sentential logic there is a simple proof that all truth functions can be reduced to 'not' and 'and' [Tharp] |
10776 | The main quantifiers extend 'and' and 'or' to infinite domains [Tharp] |
10774 | There are at least five unorthodox quantifiers that could be used [Tharp] |
10777 | Skolem mistakenly inferred that Cantor's conceptions were illusory [Tharp] |
10773 | The Löwenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [Tharp] |
10765 | Soundness would seem to be an essential requirement of a proof procedure [Tharp] |
10763 | Completeness and compactness together give axiomatizability [Tharp] |
10770 | If completeness fails there is no algorithm to list the valid formulas [Tharp] |
10771 | Compactness is important for major theories which have infinitely many axioms [Tharp] |
10772 | Compactness blocks infinite expansion, and admits non-standard models [Tharp] |
10764 | A complete logic has an effective enumeration of the valid formulas [Tharp] |
10768 | Effective enumeration might be proved but not specified, so it won't guarantee knowledge [Tharp] |
15611 | I develop philosophical science from the simplest appearance of immediate consciousness [Hegel, by Hegel] |
8928 | The Absolute is not supposed to be comprehended, but felt and intuited [Hegel] |
8929 | In the Absolute everything is the same [Hegel] |
21774 | Genuine idealism is seeing the ideal structure of the world [Hegel, by Houlgate] |
8934 | Being is Thought [Hegel] |
21773 | Experience is immediacy, unity, forces, self-awareness, reason, culture, absolute being [Hegel, by Houlgate] |
9308 | If subjective and objective begin to merge, then so do primary and secondary qualities [Svendsen] |
22033 | Hegel tried to avoid Kant's dualism of neutral intuitions and imposed concepts [Hegel, by Pinkard] |
21771 | Consciousness derives its criterion of knowledge from direct knowledge of its own being [Hegel] |
20741 | Consciousness is shaped dialectically, by opposing forces and concepts [Hegel, by Aho] |
21770 | Consciousness is both of objects, and of itself [Hegel] |
5647 | Hegel claims knowledge of self presupposes desire, and hence objects [Hegel, by Scruton] |
5648 | For Hegel knowledge of self presupposes objects, and also a public and moral social world [Hegel, by Scruton] |
9309 | Emotions have intentional objects, while a mood is objectless [Svendsen] |
9304 | Death appears to be more frightening the less one has lived [Svendsen] |
9298 | We can be unaware that we are bored [Svendsen] |
9301 | Boredom is so radical that suicide could not overcome it; only never having existed would do it [Svendsen] |
9302 | We are bored because everything comes to us fully encoded, and we want personal meaning [Svendsen] |
9310 | The profoundest boredom is boredom with boredom [Svendsen] |
8930 | The in-itself must become for-itself, which requires self-consciousness [Hegel] |
9311 | We have achieved a sort of utopia, and it is boring, so that is the end of utopias [Svendsen] |
8936 | Human nature only really exists in an achieved community of minds [Hegel] |
22034 | Modern life needs individuality, but must recognise that human agency is social [Hegel, by Pinkard] |
9303 | The concept of 'alienation' seems no longer applicable [Svendsen] |
21987 | History is the progress of the consciousness of freedom [Hegel] |
8931 | The movement of pure essences constitutes the nature of scientific method [Hegel] |
8933 | Science confronts the inner necessities of objects [Hegel] |
21775 | The God of revealed religion can only be understood through pure speculative knowledge [Hegel] |
6917 | God is the essence of thought, abstracted from the thinker [Hegel, by Feuerbach] |
6915 | Hegel made the last attempt to restore Christianity, which philosophy had destroyed [Hegel, by Feuerbach] |