45 ideas
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] |
4986 | A weaker kind of reductionism than direct translation is the use of 'bridge laws' [Kirk,R] |
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] |
5001 | Maybe we should see intentionality and consciousness as a single problem, not two [Kirk,R] |
4993 | If a bird captures a worm, we could say its behaviour is 'about' the worm [Kirk,R] |
5000 | Behaviourism says intentionality is an external relation; language of thought says it's internal [Kirk,R] |
4982 | Dualism implies some brain events with no physical cause, and others with no physical effect [Kirk,R] |
4991 | Behaviourism seems a good theory for intentional states, but bad for phenomenal ones [Kirk,R] |
4994 | Behaviourism offers a good alternative to simplistic unitary accounts of mental relationships [Kirk,R] |
4992 | In 'holistic' behaviourism we say a mental state is a complex of many dispositions [Kirk,R] |
4990 | The inverted spectrum idea is often regarded as an objection to behaviourism [Kirk,R] |
4984 | All meaningful psychological statements can be translated into physics [Kirk,R] |
4998 | Instead of representation by sentences, it can be by a distribution of connectionist strengths [Kirk,R] |
4985 | If mental states are multiply realisable, they could not be translated into physical terms [Kirk,R] |
10663 | A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack] |
4997 | It seems unlikely that most concepts are innate, if a theory must be understood to grasp them [Kirk,R] |
4999 | For behaviourists language is just a special kind of behaviour [Kirk,R] |
4995 | Behaviourists doubt whether reference is a single type of relation [Kirk,R] |
6017 | Nomos is king [Pindar] |
10683 | We could ignore space, and just talk of the shape of matter [Hossack] |