50 ideas
3969 | There are no ultimate standards of rationality, since we only assess others by our own standard [Davidson] |
3972 | Truth and objectivity depend on a community of speakers to interpret what they mean [Davidson] |
22642 | Man has an intense natural interest in the consistency of his own thinking [James] |
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] |
22641 | Realities just are, and beliefs are true of them [James] |
18067 | Abstract objects were a bad way of explaining the structure in mathematics [Kitcher] |
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] |
22640 | We find satisfaction in consistency of all of our beliefs, perceptions and mental connections [James] |
3960 | There are no such things as minds, but people have mental properties [Davidson] |
18075 | Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher] |
3964 | If the mind is an anomaly, this makes reduction of the mental to the physical impossible [Davidson] |
3961 | Obviously all mental events are causally related to physical events [Davidson] |
3963 | There are no strict psychophysical laws connecting mental and physical events [Davidson] |
3965 | Mental entities do not add to the physical furniture of the world [Davidson] |
3966 | The correct conclusion is ontological monism combined with conceptual dualism [Davidson] |
3967 | Absence of all rationality would be absence of thought [Davidson] |
3974 | Our meanings are partly fixed by events of which we may be ignorant [Davidson] |
3968 | Propositions explain nothing without an explanation of how sentences manage to name them [Davidson] |
3970 | Thought is only fully developed if we communicate with others [Davidson] |
3971 | There is simply no alternative to the 'principle of charity' in interpreting what others do [Davidson] |
3973 | Without a teacher, the concept of 'getting things right or wrong' is meaningless [Davidson] |
3962 | Cause and effect relations between events must follow strict laws [Davidson] |