55 ideas
| 20121 | Grammar only reveals popular metaphysics [Nietzsche] |
| 24082 | Is the will to truth the desire to avoid deception? [Nietzsche] |
| 9570 | In Field's Platonist view, set theory is false because it asserts existence for non-existent things [Field,H, by Chihara] |
| 10260 | Logical consequence is defined by the impossibility of P and ¬q [Field,H, by Shapiro] |
| 8958 | In Field's version of science, space-time points replace real numbers [Field,H, by Szabó] |
| 18221 | 'Metric' axioms uses functions, points and numbers; 'synthetic' axioms give facts about space [Field,H] |
| 8757 | The Indispensability Argument is the only serious ground for the existence of mathematical entities [Field,H] |
| 18212 | Nominalists try to only refer to physical objects, or language, or mental constructions [Field,H] |
| 10261 | The application of mathematics only needs its possibility, not its truth [Field,H, by Shapiro] |
| 18218 | Hilbert explains geometry, by non-numerical facts about space [Field,H] |
| 9623 | Field needs a semantical notion of second-order consequence, and that needs sets [Brown,JR on Field,H] |
| 18215 | It seems impossible to explain the idea that the conclusion is contained in the premises [Field,H] |
| 18214 | Mathematics is only empirical as regards which theory is useful [Field,H] |
| 18216 | Abstractions can form useful counterparts to concrete statements [Field,H] |
| 18210 | Why regard standard mathematics as truths, rather than as interesting fictions? [Field,H] |
| 20360 | We Germans value becoming and development more highly than mere being of what 'is' [Nietzsche] |
| 18211 | You can reduce ontological commitment by expanding the logic [Field,H] |
| 8959 | Field presumes properties can be eliminated from science [Field,H, by Szabó] |
| 18213 | Abstract objects are only applicable to the world if they are impure, and connect to the physical [Field,H] |
| 24077 | Necessity is thought to require an event, but is only an after-effect of the event [Nietzsche] |
| 20126 | The strength of knowledge is not its truth, but its entrenchment in our culture [Nietzsche] |
| 20119 | We became increasingly conscious of our sense impressions in order to communicate them [Nietzsche] |
| 20122 | We have no organ for knowledge or truth; we only 'know' what is useful to the human herd [Nietzsche] |
| 4423 | We assume causes, geometry, motion, bodies etc to live, but they haven't been proved [Nietzsche] |
| 6579 | Nietzsche's perspectivism says our worldview depends on our personality [Nietzsche, by Fogelin] |
| 24083 | It would be absurd to say we are only permitted our own single perspective [Nietzsche] |
| 18222 | Beneath every extrinsic explanation there is an intrinsic explanation [Field,H] |
| 20115 | All of our normal mental life could be conducted without consciousness [Nietzsche] |
| 20117 | Only the need for communication has led to consciousness developing [Nietzsche] |
| 20118 | Only our conscious thought is verbal, and this shows the origin of consciousness [Nietzsche] |
| 20116 | Most of our lives, even the important parts, take place outside of consciousness [Nietzsche] |
| 20120 | Whatever moves into consciousness becomes thereby much more superficial [Nietzsche] |
| 2932 | 'Know thyself' is impossible and ridiculous [Nietzsche] |
| 24078 | Thoughts cannot be fully reproduced in words [Nietzsche] |
| 24081 | Most of our intellectual activity is unconscious [Nietzsche] |
| 9917 | 'Abstract' is unclear, but numbers, functions and sets are clearly abstract [Field,H] |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| 2933 | Why do you listen to the voice of your conscience? [Nietzsche] |
| 20141 | Higher human beings see and hear far more than others, and do it more thoughtfully [Nietzsche] |
| 24076 | A morality ranks human drives and actions, for the sake of the herd, and subordinating individuals [Nietzsche] |
| 22471 | Nietzsche thought it 'childish' to say morality isn't binding because it varies between cultures [Nietzsche, by Foot] |
| 2935 | No two actions are the same [Nietzsche] |
| 20198 | Many virtues are harmful traps, but that is why other people praise them [Nietzsche] |
| 4275 | You cannot advocate joyful wisdom while rejecting pity, because the two are complementary [Scruton on Nietzsche] |
| 2934 | To see one's own judgement as a universal law is selfish [Nietzsche] |
| 24080 | We should give style to our character - by applying an artistic plan to its strengths and weaknesses [Nietzsche] |
| 20125 | The ethical teacher exists to give purpose to what happens necessarily and without purpose [Nietzsche] |
| 9306 | To ward off boredom at any cost is vulgar [Nietzsche] |
| 24079 | The best life is the dangerous life [Nietzsche] |
| 2936 | Imagine if before each of your actions you had to accept repeating the action over and over again [Nietzsche] |
| 6842 | Nietzsche says facing up to the eternal return of meaninglessness is the response to nihilism [Nietzsche, by Critchley] |
| 18223 | In theories of fields, space-time points or regions are causal agents [Field,H] |
| 18220 | Both philosophy and physics now make substantivalism more attractive [Field,H] |
| 18219 | Relational space is problematic if you take the idea of a field seriously [Field,H] |
| 2931 | God is dead, and we have killed him [Nietzsche] |