38 ideas
| 21021 | Keep premises as weak as possible, to avoid controversial difficulties [Nussbaum] |
| 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] |
| 20034 | Intentions must be mutually consistent, affirm appropriate means, and fit the agent's beliefs [Bratman, by Wilson/Schpall] |
| 20033 | Intentions are normative, requiring commitment and further plans [Bratman, by Wilson/Schpall] |
| 20026 | Intention is either the aim of an action, or a long-term constraint on what we can do [Bratman, by Wilson/Schpall] |
| 20032 | Bratman rejected reducing intentions to belief-desire, because they motivate, and have their own standards [Bratman, by Wilson/Schpall] |
| 21007 | Storytelling is never neutral; some features of the world must be emphasised [Nussbaum] |
| 21025 | Particularism gives no guidance for the future [Nussbaum] |
| 21026 | Compassion is unreliable, because it favours people close to us [Nussbaum] |
| 21019 | Social contracts assume equal powers among the participants [Nussbaum] |
| 21011 | We shouldn't focus on actual preferences, which may be distorted by injustices [Nussbaum] |
| 21008 | Liberalism does not need a comprehensive account of value [Nussbaum] |
| 21012 | Women are often treated like children, and not respected for their choices [Nussbaum] |
| 21015 | Negative liberty is incoherent; all liberties, to do and to be, require the prevention of interference [Nussbaum] |
| 21017 | Political freedom is an incoherent project, because some freedoms limit other freedoms [Nussbaum] |
| 21016 | Political and civil rights are not separate from economic and social rights [Nussbaum] |
| 21009 | Capabilities: Life, Health, Safety, Mental life, Love, Planning, Joining in, Nature, Play, Control [Nussbaum, by PG] |
| 21010 | Justice requires that the ten main capabilities of people are reasonably enabled [Nussbaum] |
| 21013 | Capabilities are grounded in bare humanity and agency; qualifying as rational is not needed [Nussbaum] |
| 21014 | Rights are not just barriers against state interference; governments must affirm capabilities of citizens [Nussbaum] |
| 21020 | Any establishment belief system is incompatible with full respect for all citizens [Nussbaum] |
| 21023 | We should respect animals in the way that we respect the animal nature in humans [Nussbaum] |
| 21024 | It may be no harm to kill an animal which cannot plan for its future [Nussbaum] |
| 21022 | The Capabilities Approach sees animals as agents, not just as having feelings [Nussbaum] |