67 ideas
| 9449 | The plausible Barcan formula implies modality in the actual world [Bird] |
| 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] |
| 9501 | If all existents are causally active, that excludes abstracta and causally isolated objects [Bird] |
| 9500 | If naturalism refers to supervenience, that leaves necessary entities untouched [Bird] |
| 9502 | There might be just one fundamental natural property [Bird] |
| 9477 | Categorical properties are not modally fixed, but change across possible worlds [Bird] |
| 9490 | The categoricalist idea is that a property is only individuated by being itself [Bird] |
| 9495 | If we abstractly define a property, that doesn't mean some object could possess it [Bird] |
| 9492 | Categoricalists take properties to be quiddities, with no essential difference between them [Bird] |
| 9503 | To name an abundant property is either a Fregean concept, or a simple predicate [Bird] |
| 14540 | Only real powers are fundamental [Bird, by Mumford/Anjum] |
| 9450 | If all properties are potencies, and stimuli and manifestation characterise them, there is a regress [Bird] |
| 9498 | The essence of a potency involves relations, e.g. mass, to impressed force and acceleration [Bird] |
| 9474 | A disposition is finkish if a time delay might mean the manifestation fizzles out [Bird] |
| 9475 | A robust pot attached to a sensitive bomb is not fragile, but if struck it will easily break [Bird] |
| 9499 | Megarian actualists deny unmanifested dispositions [Bird] |
| 9486 | Why should a universal's existence depend on instantiation in an existing particular? [Bird] |
| 9472 | Resemblance itself needs explanation, presumably in terms of something held in common [Bird] |
| 18067 | Abstract objects were a bad way of explaining the structure in mathematics [Kitcher] |
| 9482 | If the laws necessarily imply p, that doesn't give a new 'nomological' necessity [Bird] |
| 9481 | Logical necessitation is not a kind of necessity; George Orwell not being Eric Blair is not a real possibility [Bird] |
| 9505 | Empiricist saw imaginability and possibility as close, but now they seem remote [Bird] |
| 9491 | Haecceitism says identity is independent of qualities and without essence [Bird] |
| 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] |
| 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] |
| 9487 | We can't reject all explanations because of a regress; inexplicable A can still explain B [Bird] |
| 18075 | Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher] |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| 9493 | We should explain causation by powers, not powers by causation [Bird] |
| 9494 | Singularism about causes is wrong, as the universals involved imply laws [Bird] |
| 9507 | Laws are explanatory relationships of things, which supervene on their essences [Bird] |
| 9488 | Laws are either disposition regularities, or relations between properties [Bird] |
| 9496 | That other diamonds are hard does not explain why this one is [Bird] |
| 9479 | Dispositional essentialism says laws (and laws about laws) are guaranteed regularities [Bird] |
| 9473 | Laws cannot offer unified explanations if they don't involve universals [Bird] |
| 9484 | If the universals for laws must be instantiated, a vanishing particular could destroy a law [Bird] |
| 9506 | Salt necessarily dissolves in water, because of the law which makes the existence of salt possible [Bird] |
| 23713 | Most laws supervene on fundamental laws, which are explained by basic powers [Bird, by Friend/Kimpton-Nye] |
| 9489 | Essentialism can't use conditionals to explain regularities, because of possible interventions [Bird] |
| 9504 | The relational view of space-time doesn't cover times and places where things could be [Bird] |