39 ideas
| 8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
| 8763 | The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro] |
| 18249 | Cauchy gave a formal definition of a converging sequence. [Shapiro] |
| 8764 | Categories are the best foundation for mathematics [Shapiro] |
| 8762 | Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro] |
| 8760 | Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro] |
| 8761 | A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro] |
| 8744 | Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro] |
| 8749 | Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro] |
| 8750 | Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro] |
| 8752 | Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro] |
| 8753 | Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro] |
| 8731 | Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro] |
| 8730 | 'Impredicative' definitions refer to the thing being described [Shapiro] |
| 8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
| 23805 | Some explanations offer to explain a mystery by a greater mystery [Schulte] |
| 4608 | Minds are hard-wired, or trial-and-error, or experimental, or full self-aware [Dennett, by Heil] |
| 4880 | Sentience comes in grades from robotic to super-human; we only draw a line for moral reasons [Dennett] |
| 4873 | What is it like to notice an uncomfortable position when you are asleep? [Dennett] |
| 4881 | Being a person must involve having second-order beliefs and desires (about beliefs and desires) [Dennett] |
| 4875 | We descend from robots, and our intentionality is composed of billions of crude intentional systems [Dennett] |
| 4879 | There is no more anger in adrenaline than silliness in a bottle of whiskey [Dennett] |
| 4876 | Maybe there is a minimum brain speed for supporting a mind [Dennett] |
| 4878 | The materials for a mind only matter because of speed, and a need for transducers and effectors [Dennett] |
| 4874 | The predecessor and rival of the language of thought hypothesis is the picture theory of ideas [Dennett] |
| 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] |
| 4882 | Concepts are things we (unlike dogs) can think about, because we have language [Dennett] |
| 4872 | Most people see an abortion differently if the foetus lacks a brain [Dennett] |
| 4877 | Maybe plants are very slow (and sentient) animals, overlooked because we are faster? [Dennett] |