51 ideas
12585 | Most people can't even define a chair [Peacocke] |
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] |
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] |
10681 | In arithmetic singularists need sets as the instantiator of numeric properties [Hossack] |
10685 | Set theory is the science of infinity [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] |
10668 | We are committed to a 'group' of children, if they are sitting in a circle [Hossack] |
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] |
12581 | Perceptual concepts causally influence the content of our experiences [Peacocke] |
12579 | Perception has proto-propositions, between immediate experience and concepts [Peacocke] |
3061 | Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius] |
12586 | Consciousness of a belief isn't a belief that one has it [Peacocke] |
10663 | A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack] |
12608 | Concepts are distinguished by roles in judgement, and are thus tied to rationality [Peacocke] |
18568 | Philosophy should merely give necessary and sufficient conditions for concept possession [Peacocke, by Machery] |
18571 | Peacocke's account of possession of a concept depends on one view of counterfactuals [Peacocke, by Machery] |
18572 | Peacocke's account separates psychology from philosophy, and is very sketchy [Machery on Peacocke] |
17722 | The concept 'red' is tied to what actually individuates red things [Peacocke] |
11127 | If concepts just are mental representations, what of concepts we may never acquire? [Peacocke] |
12577 | Possessing a concept is being able to make judgements which use it [Peacocke] |
12578 | A concept is just what it is to possess that concept [Peacocke] |
12587 | Employing a concept isn't decided by introspection, but by making judgements using it [Peacocke] |
12605 | A sense is individuated by the conditions for reference [Peacocke] |
12607 | Fregean concepts have their essence fixed by reference-conditions [Peacocke] |
12609 | Concepts have distinctive reasons and norms [Peacocke] |
12584 | An analysis of concepts must link them to something unconceptualized [Peacocke] |
12604 | Any explanation of a concept must involve reference and truth [Peacocke] |
9335 | Concepts are constituted by their role in a group of propositions to which we are committed [Peacocke, by Greco] |
9336 | A concept's reference is what makes true the beliefs of its possession conditions [Peacocke, by Horwich] |
12610 | Encountering novel sentences shows conclusively that meaning must be compositional [Peacocke] |
10683 | We could ignore space, and just talk of the shape of matter [Hossack] |