38 ideas
| 22289 | Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter] |
| 10183 | An infinite set maps into its own proper subset [Dedekind, by Reck/Price] |
| 22288 | We have the idea of self, and an idea of that idea, and so on, so infinite ideas are available [Dedekind, by Potter] |
| 10706 | Dedekind originally thought more in terms of mereology than of sets [Dedekind, by Potter] |
| 9823 | Numbers are free creations of the human mind, to understand differences [Dedekind] |
| 10090 | Dedekind defined the integers, rationals and reals in terms of just the natural numbers [Dedekind, by George/Velleman] |
| 17452 | Ordinals can define cardinals, as the smallest ordinal that maps the set [Dedekind, by Heck] |
| 7524 | Order, not quantity, is central to defining numbers [Dedekind, by Monk] |
| 14131 | Dedekind's ordinals are just members of any progression whatever [Dedekind, by Russell] |
| 14437 | Dedekind's axiom that his Cut must be filled has the advantages of theft over honest toil [Dedekind, by Russell] |
| 18094 | Dedekind says each cut matches a real; logicists say the cuts are the reals [Dedekind, by Bostock] |
| 9824 | In counting we see the human ability to relate, correspond and represent [Dedekind] |
| 9826 | A system S is said to be infinite when it is similar to a proper part of itself [Dedekind] |
| 13508 | Dedekind gives a base number which isn't a successor, then adds successors and induction [Dedekind, by Hart,WD] |
| 18096 | Zero is a member, and all successors; numbers are the intersection of sets satisfying this [Dedekind, by Bostock] |
| 18841 | Categoricity implies that Dedekind has characterised the numbers, because it has one domain [Rumfitt on Dedekind] |
| 14130 | Induction is proved in Dedekind, an axiom in Peano; the latter seems simpler and clearer [Dedekind, by Russell] |
| 8924 | Dedekind originated the structuralist conception of mathematics [Dedekind, by MacBride] |
| 9153 | Dedekindian abstraction talks of 'positions', where Cantorian abstraction talks of similar objects [Dedekind, by Fine,K] |
| 9825 | A thing is completely determined by all that can be thought concerning it [Dedekind] |
| 23805 | Some explanations offer to explain a mystery by a greater mystery [Schulte] |
| 1394 | Can the mental elements of a 'bundle' exist on their own? [Carruthers] |
| 1395 | Why would a thought be a member of one bundle rather than another? [Carruthers] |
| 1396 | We identify persons before identifying conscious states [Carruthers] |
| 23806 | Naturalist accounts of representation must match the views of cognitive science [Schulte] |
| 23793 | On the whole, referential content is seen as broad, and sense content as narrow [Schulte] |
| 23796 | Naturalists must explain both representation, and what is represented [Schulte] |
| 23792 | Phenomenal and representational character may have links, or even be united [Schulte] |
| 23795 | Naturalistic accounts of content cannot rely on primitive mental or normative notions [Schulte] |
| 23804 | Maybe we can explain mental content in terms of phenomenal properties [Schulte] |
| 23802 | Conceptual role semantics says content is determined by cognitive role [Schulte] |
| 23797 | Cause won't explain content, because one cause can produce several contents [Schulte] |
| 23799 | Teleosemantics explains content in terms of successful and unsuccessful functioning [Schulte] |
| 23800 | Teleosemantic explanations say content is the causal result of naturally selected functions [Schulte] |
| 23798 | Information theories say content is information, such as smoke making fire probable [Schulte] |
| 9189 | Dedekind said numbers were abstracted from systems of objects, leaving only their position [Dedekind, by Dummett] |
| 9827 | We derive the natural numbers, by neglecting everything of a system except distinctness and order [Dedekind] |
| 9979 | Dedekind has a conception of abstraction which is not psychologistic [Dedekind, by Tait] |