56 ideas
18486 | We might define truth as arising from the truth-maker relation [MacBride] |
18484 | Phenomenalists, behaviourists and presentists can't supply credible truth-makers [MacBride] |
18466 | If truthmaking is classical entailment, then anything whatsoever makes a necessary truth [MacBride] |
18473 | 'Maximalism' says every truth has an actual truthmaker [MacBride] |
18481 | Maximalism follows Russell, and optimalism (no negative or universal truthmakers) follows Wittgenstein [MacBride] |
18483 | The main idea of truth-making is that what a proposition is about is what matters [MacBride] |
18479 | There are different types of truthmakers for different types of negative truth [MacBride] |
18477 | There aren't enough positive states out there to support all the negative truths [MacBride] |
18482 | Optimalists say that negative and universal are true 'by default' from the positive truths [MacBride] |
18474 | Does 'this sentence has no truth-maker' have a truth-maker? Reductio suggests it can't have [MacBride] |
18485 | Even idealists could accept truthmakers, as mind-dependent [MacBride] |
18490 | Maybe 'makes true' is not an active verb, but just a formal connective like 'because'? [MacBride] |
18493 | Truthmaker talk of 'something' making sentences true, which presupposes objectual quantification [MacBride] |
18074 | Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher] |
11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
18489 | Connectives link sentences without linking their meanings [MacBride] |
11210 | Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt] |
11212 | The sense of a connective comes from primitively obvious rules of inference [Rumfitt] |
18476 | 'A is F' may not be positive ('is dead'), and 'A is not-F' may not be negative ('is not blind') [MacBride] |
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] |
18480 | Maybe it only exists if it is a truthmaker (rather than the value of a variable)? [MacBride] |
18471 | Different types of 'grounding' seem to have no more than a family resemblance relation [MacBride] |
18472 | Which has priority - 'grounding' or 'truth-making'? [MacBride] |
18475 | Russell allows some complex facts, but Wittgenstein only allows atomic facts [MacBride] |
18067 | Abstract objects were a bad way of explaining the structure in mathematics [Kitcher] |
18478 | Wittgenstein's plan to show there is only logical necessity failed, because of colours [MacBride] |
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] |
11214 | We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt] |