56 ideas
| 20455 | Philosophy really got started as the rival mode of discourse to tragedy [Critchley] |
| 20446 | Philosophy begins in disappointment, notably in religion and politics [Critchley] |
| 6848 | Humour is practically enacted philosophy [Critchley] |
| 6847 | Humour can give a phenomenological account of existence, and point to change [Critchley] |
| 7068 | If infatuation with science leads to bad scientism, its rejection leads to obscurantism [Critchley] |
| 6844 | Scientism is the view that everything can be explained causally through scientific method [Critchley] |
| 20449 | Science gives us an excessively theoretical view of life [Critchley] |
| 7075 | To meet the division in our life, try the Subject, Nature, Spirit, Will, Power, Praxis, Unconscious, or Being [Critchley] |
| 7069 | The French keep returning, to Hegel or Nietzsche or Marx [Critchley] |
| 6835 | German idealism aimed to find a unifying principle for Kant's various dualisms [Critchley] |
| 6837 | Since Hegel, continental philosophy has been linked with social and historical enquiry. [Critchley] |
| 6836 | Continental philosophy fights the threatened nihilism in the critique of reason [Critchley] |
| 6838 | Continental philosophy is based on critique, praxis and emancipation [Critchley] |
| 6845 | Continental philosophy has a bad tendency to offer 'one big thing' to explain everything [Critchley] |
| 6846 | Phenomenology is a technique of redescription which clarifies our social world [Critchley] |
| 20448 | Phenomenology uncovers and redescribes the pre-theoretical layer of life [Critchley] |
| 17774 | Definitions make our intuitions mathematically useful [Mayberry] |
| 17773 | Proof shows that it is true, but also why it must be true [Mayberry] |
| 17795 | Set theory can't be axiomatic, because it is needed to express the very notion of axiomatisation [Mayberry] |
| 17796 | There is a semi-categorical axiomatisation of set-theory [Mayberry] |
| 17800 | The misnamed Axiom of Infinity says the natural numbers are finite in size [Mayberry] |
| 17801 | The set hierarchy doesn't rely on the dubious notion of 'generating' them [Mayberry] |
| 17803 | Limitation of size is part of the very conception of a set [Mayberry] |
| 17786 | The mainstream of modern logic sees it as a branch of mathematics [Mayberry] |
| 17788 | First-order logic only has its main theorems because it is so weak [Mayberry] |
| 17791 | Only second-order logic can capture mathematical structure up to isomorphism [Mayberry] |
| 17787 | Big logic has one fixed domain, but standard logic has a domain for each interpretation [Mayberry] |
| 17790 | No Löwenheim-Skolem logic can axiomatise real analysis [Mayberry] |
| 17779 | 'Classificatory' axioms aim at revealing similarity in morphology of structures [Mayberry] |
| 17778 | Axiomatiation relies on isomorphic structures being essentially the same [Mayberry] |
| 17780 | 'Eliminatory' axioms get rid of traditional ideal and abstract objects [Mayberry] |
| 17789 | No logic which can axiomatise arithmetic can be compact or complete [Mayberry] |
| 17784 | Real numbers can be eliminated, by axiom systems for complete ordered fields [Mayberry] |
| 17782 | Greek quantities were concrete, and ratio and proportion were their science [Mayberry] |
| 17781 | Real numbers were invented, as objects, to simplify and generalise 'quantity' [Mayberry] |
| 17799 | Cantor's infinite is an absolute, of all the sets or all the ordinal numbers [Mayberry] |
| 17797 | Cantor extended the finite (rather than 'taming the infinite') [Mayberry] |
| 17775 | If proof and definition are central, then mathematics needs and possesses foundations [Mayberry] |
| 17776 | The ultimate principles and concepts of mathematics are presumed, or grasped directly [Mayberry] |
| 17777 | Foundations need concepts, definition rules, premises, and proof rules [Mayberry] |
| 17804 | Axiom theories can't give foundations for mathematics - that's using axioms to explain axioms [Mayberry] |
| 17792 | 1st-order PA is only interesting because of results which use 2nd-order PA [Mayberry] |
| 17793 | It is only 2nd-order isomorphism which suggested first-order PA completeness [Mayberry] |
| 17794 | Set theory is not just first-order ZF, because that is inadequate for mathematics [Mayberry] |
| 17802 | We don't translate mathematics into set theory, because it comes embodied in that way [Mayberry] |
| 17805 | Set theory is not just another axiomatised part of mathematics [Mayberry] |
| 17785 | Real numbers as abstracted objects are now treated as complete ordered fields [Mayberry] |
| 7435 | Dispositions are second-order properties, the property of having some property [Jackson/Pargetter/Prior, by Armstrong] |
| 20454 | Wallace Stevens is the greatest philosophical poet of the twentieth century in English [Critchley] |
| 20456 | Interesting art is always organised around ethical demands [Critchley] |
| 20447 | The problems is not justifying ethics, but motivating it. Why should a self seek its good? [Critchley] |
| 7067 | Food first, then ethics [Critchley] |
| 6843 | Perceiving meaninglessness is an achievement, which can transform daily life [Critchley] |
| 20452 | Anarchism used to be libertarian (especially for sexuality), but now concerns responsibility [Critchley] |
| 20450 | The state, law, bureaucracy and capital are limitations on life, so I prefer federalist anarchism [Critchley] |
| 20451 | Belief that humans are wicked leads to authoritarian politics [Critchley] |