51 ideas
| 17729 | Examining concepts can recover information obtained through the senses [Jenkins] |
| 17740 | Instead of correspondence of proposition to fact, look at correspondence of its parts [Jenkins] |
| 10676 | The Axiom of Choice is a non-logical principle of set-theory [Hossack] |
| 10686 | The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack] |
| 23623 | Predicativism says only predicated sets exist [Hossack] |
| 23624 | The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack] |
| 23625 | Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack] |
| 10687 | Maybe we reduce sets to ordinals, rather than the other way round [Hossack] |
| 10677 | Extensional mereology needs two definitions and two axioms [Hossack] |
| 23628 | The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack] |
| 23627 | 'Before' and 'after' are not two relations, but one relation with two orders [Hossack] |
| 10671 | Plural definite descriptions pick out the largest class of things that fit the description [Hossack] |
| 10666 | Plural reference will refer to complex facts without postulating complex things [Hossack] |
| 10669 | Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack] |
| 10675 | A plural comprehension principle says there are some things one of which meets some condition [Hossack] |
| 10673 | Plural language can discuss without inconsistency things that are not members of themselves [Hossack] |
| 10680 | The theory of the transfinite needs the ordinal numbers [Hossack] |
| 10684 | I take the real numbers to be just lengths [Hossack] |
| 17730 | Combining the concepts of negation and finiteness gives the concept of infinity [Jenkins] |
| 23626 | Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack] |
| 10674 | A plural language gives a single comprehensive induction axiom for arithmetic [Hossack] |
| 10685 | Set theory is the science of infinity [Hossack] |
| 10681 | In arithmetic singularists need sets as the instantiator of numeric properties [Hossack] |
| 23621 | Numbers are properties, not sets (because numbers are magnitudes) [Hossack] |
| 23622 | We can only mentally construct potential infinities, but maths needs actual infinities [Hossack] |
| 17719 | Arithmetic concepts are indispensable because they accurately map the world [Jenkins] |
| 17717 | Senses produce concepts that map the world, and arithmetic is known through these concepts [Jenkins] |
| 17724 | It is not easy to show that Hume's Principle is analytic or definitive in the required sense [Jenkins] |
| 17727 | We can learn about the world by studying the grounding of our concepts [Jenkins] |
| 17720 | There's essential, modal, explanatory, conceptual, metaphysical and constitutive dependence [Jenkins, by PG] |
| 10668 | We are committed to a 'group' of children, if they are sitting in a circle [Hossack] |
| 17728 | The concepts we have to use for categorising are ones which map the real world well [Jenkins] |
| 10664 | Complex particulars are either masses, or composites, or sets [Hossack] |
| 10678 | The relation of composition is indispensable to the part-whole relation for individuals [Hossack] |
| 10665 | Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack] |
| 10682 | The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack] |
| 17726 | Examining accurate, justified or grounded concepts brings understanding of the world [Jenkins] |
| 17734 | It is not enough that intuition be reliable - we need to know why it is reliable [Jenkins] |
| 17723 | Knowledge is true belief which can be explained just by citing the proposition believed [Jenkins] |
| 22179 | Explanatory facts also predict, and predictive facts also explain [Hempel, by Okasha] |
| 21507 | Scientific explanation aims at a unifying account of underlying structures and processes [Hempel] |
| 6755 | For Hempel, explanations are deductive-nomological or probabilistic-statistical [Hempel, by Bird] |
| 17083 | The covering-law model is for scientific explanation; historical explanation is quite different [Hempel] |
| 13052 | Hempel rejects causation as part of explanation [Hempel, by Salmon] |
| 10663 | A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack] |
| 17739 | The physical effect of world on brain explains the concepts we possess [Jenkins] |
| 17718 | Grounded concepts are trustworthy maps of the world [Jenkins] |
| 17731 | Verificationism is better if it says meaningfulness needs concepts grounded in the senses [Jenkins] |
| 17732 | Success semantics explains representation in terms of success in action [Jenkins] |
| 17725 | 'Analytic' can be conceptual, or by meaning, or predicate inclusion, or definition... [Jenkins] |
| 10683 | We could ignore space, and just talk of the shape of matter [Hossack] |