67 ideas
18074 | Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher] |
15375 | If terms change their designations in different states, they are functions from states to objects [Fitting] |
15376 | Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting] |
15378 | Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting] |
15379 | Justication logics make explicit the reasons for mathematical truth in proofs [Fitting] |
12430 | Classical logic is our preconditions for assessing empirical evidence [Kitcher] |
12431 | I believe classical logic because I was taught it and use it, but it could be undermined [Kitcher] |
11026 | Classical logic is deliberately extensional, in order to model mathematics [Fitting] |
11028 | λ-abstraction disambiguates the scope of modal operators [Fitting] |
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] |
22886 | The modern idea of 'limit' allows infinite quantities to have a finite sum [Bardon] |
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] |
22914 | An equally good question would be why there was nothing instead of something [Bardon] |
18067 | Abstract objects were a bad way of explaining the structure in mathematics [Kitcher] |
12428 | Many necessities are inexpressible, and unknowable a priori [Kitcher] |
12429 | Knowing our own existence is a priori, but not necessary [Kitcher] |
15377 | Definite descriptions pick out different objects in different possible worlds [Fitting] |
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] |
18075 | Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher] |
22902 | Why does an effect require a prior event if the prior event isn't a cause? [Bardon] |
22905 | Becoming disordered is much easier for a system than becoming ordered [Bardon] |
22913 | The universe expands, so space-time is enlarging [Bardon] |
22889 | We should treat time as adverbial, so we don't experience time, we experience things temporally [Bardon, by Bardon] |
22900 | How can we question the passage of time, if the question takes time to ask? [Bardon] |
22898 | What is time's passage relative to, and how fast does it pass? [Bardon] |
22897 | The A-series says a past event is becoming more past, but how can it do that? [Bardon] |
22901 | The B-series needs a revised view of causes, laws and explanations [Bardon] |
22896 | The B-series is realist about time, but idealist about its passage [Bardon] |
22903 | The B-series adds directionality when it accepts 'earlier' and 'later' [Bardon] |
22910 | To define time's arrow by causation, we need a timeless definition of causation [Bardon] |
22909 | We judge memories to be of the past because the events cause the memories [Bardon] |
22904 | The psychological arrow of time is the direction from our memories to our anticipations [Bardon] |
22906 | The direction of entropy is probabilistic, not necessary, so cannot be identical to time's arrow [Bardon] |
22907 | It is arbitrary to reverse time in a more orderly universe, but not in a sub-system of it [Bardon] |
22883 | It seems hard to understand change without understanding time first [Bardon] |
22890 | We experience static states (while walking round a house) and observe change (ship leaving dock) [Bardon] |
22884 | The motion of a thing should be a fact in the present moment [Bardon] |
22892 | Experiences of motion may be overlapping, thus stretching out the experience [Bardon] |
22911 | At least eternal time gives time travellers a possible destination [Bardon] |
22912 | Time travel is not a paradox if we include it in the eternal continuum of events [Bardon] |
22882 | We use calendars for the order of events, and clocks for their passing [Bardon] |