58 ideas
19648 | Since Kant we think we can only access 'correlations' between thinking and being [Meillassoux] |
19674 | The Copernican Revolution decentres the Earth, but also decentres thinking from reality [Meillassoux] |
19657 | In Kant the thing-in-itself is unknowable, but for us it has become unthinkable [Meillassoux] |
19675 | Since Kant, philosophers have claimed to understand science better than scientists do [Meillassoux] |
19649 | Since Kant, objectivity is defined not by the object, but by the statement's potential universality [Meillassoux] |
19666 | If we insist on Sufficient Reason the world will always be a mystery to us [Meillassoux] |
19656 | Non-contradiction is unjustified, so it only reveals a fact about thinking, not about reality? [Meillassoux] |
18074 | Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher] |
19663 | We can allow contradictions in thought, but not inconsistency [Meillassoux] |
19664 | Paraconsistent logics are to prevent computers crashing when data conflicts [Meillassoux] |
19665 | Paraconsistent logic is about statements, not about contradictions in reality [Meillassoux] |
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] |
19677 | What is mathematically conceivable is absolutely possible [Meillassoux] |
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] |
19659 | The absolute is the impossibility of there being a necessary existent [Meillassoux] |
19662 | It is necessarily contingent that there is one thing rather than another - so something must exist [Meillassoux] |
19654 | We must give up the modern criterion of existence, which is a correlation between thought and being [Meillassoux] |
18067 | Abstract objects were a bad way of explaining the structure in mathematics [Kitcher] |
16756 | Substantial forms must exist, to explain the stability of metals like silver and tin [Albertus Magnus] |
19660 | Possible non-being which must be realised is 'precariousness'; absolute contingency might never not-be [Meillassoux] |
19671 | The idea of chance relies on unalterable physical laws [Meillassoux] |
19651 | Unlike speculative idealism, transcendental idealism assumes the mind is embodied [Meillassoux] |
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] |
19647 | The aspects of objects that can be mathematical allow it to have objective properties [Meillassoux] |
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] |
19652 | How can we mathematically describe a world that lacks humans? [Meillassoux] |
19668 | Hume's question is whether experimental science will still be valid tomorrow [Meillassoux] |
18075 | Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher] |
19650 | The transcendental subject is not an entity, but a set of conditions making science possible [Meillassoux] |
19667 | If the laws of nature are contingent, shouldn't we already have noticed it? [Meillassoux] |
19670 | Why are contingent laws of nature stable? [Meillassoux] |
19653 | The ontological proof of a necessary God ensures a reality external to the mind [Meillassoux] |
19658 | Now that the absolute is unthinkable, even atheism is just another religious belief (though nihilist) [Meillassoux] |