42 ideas
| 8220 | Philosophy is in a perpetual state of digression [Deleuze/Guattari] |
| 8217 | Philosophy is a concept-creating discipline [Deleuze/Guattari] |
| 8242 | Philosophy aims at what is interesting, remarkable or important - not at knowledge or truth [Deleuze/Guattari] |
| 8223 | The plague of philosophy is those who criticise without creating, and defend dead concepts [Deleuze/Guattari] |
| 8247 | Phenomenology needs art as logic needs science [Deleuze/Guattari] |
| 8224 | 'Eris' is the divinity of conflict, the opposite of Philia, the god of friendship [Deleuze/Guattari] |
| 18194 | 'Forcing' can produce new models of ZFC from old models [Maddy] |
| 18195 | A Large Cardinal Axiom would assert ever-increasing stages in the hierarchy [Maddy] |
| 18191 | Axiom of Infinity: completed infinite collections can be treated mathematically [Maddy] |
| 18193 | The Axiom of Foundation says every set exists at a level in the set hierarchy [Maddy] |
| 18169 | Axiom of Reducibility: propositional functions are extensionally predicative [Maddy] |
| 8219 | Logic has an infantile idea of philosophy [Deleuze/Guattari] |
| 8246 | Logic hates philosophy, and wishes to supplant it [Deleuze/Guattari] |
| 18168 | 'Propositional functions' are propositions with a variable as subject or predicate [Maddy] |
| 18190 | Completed infinities resulted from giving foundations to calculus [Maddy] |
| 18171 | Cantor and Dedekind brought completed infinities into mathematics [Maddy] |
| 18172 | Infinity has degrees, and large cardinals are the heart of set theory [Maddy] |
| 18175 | For any cardinal there is always a larger one (so there is no set of all sets) [Maddy] |
| 18196 | An 'inaccessible' cardinal cannot be reached by union sets or power sets [Maddy] |
| 18187 | Theorems about limits could only be proved once the real numbers were understood [Maddy] |
| 18182 | The extension of concepts is not important to me [Maddy] |
| 18177 | In the ZFC hierarchy it is impossible to form Frege's set of all three-element sets [Maddy] |
| 18164 | Frege solves the Caesar problem by explicitly defining each number [Maddy] |
| 18184 | Making set theory foundational to mathematics leads to very fruitful axioms [Maddy] |
| 18185 | Unified set theory gives a final court of appeal for mathematics [Maddy] |
| 18183 | Set theory brings mathematics into one arena, where interrelations become clearer [Maddy] |
| 18163 | Mathematics rests on the logic of proofs, and on the set theoretic axioms [Maddy] |
| 18186 | Identifying geometric points with real numbers revealed the power of set theory [Maddy] |
| 18188 | The line of rationals has gaps, but set theory provided an ordered continuum [Maddy] |
| 18207 | Maybe applications of continuum mathematics are all idealisations [Maddy] |
| 18204 | Scientists posit as few entities as possible, but set theorist posit as many as possible [Maddy] |
| 18167 | We can get arithmetic directly from HP; Law V was used to get HP from the definition of number [Maddy] |
| 18205 | The theoretical indispensability of atoms did not at first convince scientists that they were real [Maddy] |
| 8221 | We cannot judge the Cogito. Must we begin? Must we start from certainty? Can 'I' relate to thought? [Deleuze/Guattari] |
| 8222 | Concepts are superior because they make us more aware, and change our thinking [Deleuze/Guattari] |
| 8218 | Other people completely revise our perceptions, because they are possible worlds [Deleuze/Guattari] |
| 18206 | Science idealises the earth's surface, the oceans, continuities, and liquids [Maddy] |
| 8248 | Phenomenology says thought is part of the world [Deleuze/Guattari] |
| 8245 | The logical attitude tries to turn concepts into functions, when they are really forms or forces [Deleuze/Guattari] |
| 7861 | Libet says the processes initiated in the cortex can still be consciously changed [Libet, by Papineau] |
| 6660 | Libet found conscious choice 0.2 secs before movement, well after unconscious 'readiness potential' [Libet, by Lowe] |
| 8243 | Atheism is the philosopher's serenity, and philosophy's achievement [Deleuze/Guattari] |