66 ideas
| 20121 | Grammar only reveals popular metaphysics [Nietzsche] |
| 24082 | Is the will to truth the desire to avoid deception? [Nietzsche] |
| 18074 | Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher] |
| 6298 | Kitcher says maths is an idealisation of the world, and our operations in dealing with it [Kitcher, by Resnik] |
| 12392 | Mathematical a priorism is conceptualist, constructivist or realist [Kitcher] |
| 18078 | The interest or beauty of mathematics is when it uses current knowledge to advance undestanding [Kitcher] |
| 12426 | The 'beauty' or 'interest' of mathematics is just explanatory power [Kitcher] |
| 12395 | Real numbers stand to measurement as natural numbers stand to counting [Kitcher] |
| 12425 | Complex numbers were only accepted when a geometrical model for them was found [Kitcher] |
| 18071 | A one-operation is the segregation of a single object [Kitcher] |
| 18066 | The old view is that mathematics is useful in the world because it describes the world [Kitcher] |
| 18083 | With infinitesimals, you divide by the time, then set the time to zero [Kitcher] |
| 18061 | Mathematical intuition is not the type platonism needs [Kitcher] |
| 12420 | If mathematics comes through intuition, that is either inexplicable, or too subjective [Kitcher] |
| 12393 | Intuition is no basis for securing a priori knowledge, because it is fallible [Kitcher] |
| 12387 | Mathematical knowledge arises from basic perception [Kitcher] |
| 12412 | My constructivism is mathematics as an idealization of collecting and ordering objects [Kitcher] |
| 18065 | We derive limited mathematics from ordinary things, and erect powerful theories on their basis [Kitcher] |
| 18077 | The defenders of complex numbers had to show that they could be expressed in physical terms [Kitcher] |
| 12423 | Analyticity avoids abstract entities, but can there be truth without reference? [Kitcher] |
| 18069 | Arithmetic is an idealizing theory [Kitcher] |
| 18068 | Arithmetic is made true by the world, but is also made true by our constructions [Kitcher] |
| 18070 | We develop a language for correlations, and use it to perform higher level operations [Kitcher] |
| 18072 | Constructivism is ontological (that it is the work of an agent) and epistemological (knowable a priori) [Kitcher] |
| 18063 | Conceptualists say we know mathematics a priori by possessing mathematical concepts [Kitcher] |
| 18064 | If meaning makes mathematics true, you still need to say what the meanings refer to [Kitcher] |
| 20360 | We Germans value becoming and development more highly than mere being of what 'is' [Nietzsche] |
| 18067 | Abstract objects were a bad way of explaining the structure in mathematics [Kitcher] |
| 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] |
| 12390 | A priori knowledge comes from available a priori warrants that produce truth [Kitcher] |
| 12418 | In long mathematical proofs we can't remember the original a priori basis [Kitcher] |
| 12389 | Knowledge is a priori if the experience giving you the concepts thus gives you the knowledge [Kitcher] |
| 12416 | We have some self-knowledge a priori, such as knowledge of our own existence [Kitcher] |
| 20119 | We became increasingly conscious of our sense impressions in order to communicate them [Nietzsche] |
| 12413 | A 'warrant' is a process which ensures that a true belief is knowledge [Kitcher] |
| 20473 | If experiential can defeat a belief, then its justification depends on the defeater's absence [Kitcher, by Casullo] |
| 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] |
| 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] |
| 18075 | Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher] |
| 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] |
| 4761 | The 'error theory' of morals says there is no moral knowledge, because there are no moral facts [Mackie, by Engel] |
| 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] |
| 2931 | God is dead, and we have killed him [Nietzsche] |