43 ideas
21021 | Keep premises as weak as possible, to avoid controversial difficulties [Nussbaum] |
17749 | Post proved the consistency of propositional logic in 1921 [Walicki] |
17765 | Propositional language can only relate statements as the same or as different [Walicki] |
17764 | Boolean connectives are interpreted as functions on the set {1,0} [Walicki] |
17752 | The empty set is useful for defining sets by properties, when the members are not yet known [Walicki] |
17753 | The empty set avoids having to take special precautions in case members vanish [Walicki] |
17759 | Ordinals play the central role in set theory, providing the model of well-ordering [Walicki] |
17741 | To determine the patterns in logic, one must identify its 'building blocks' [Walicki] |
17747 | A 'model' of a theory specifies interpreting a language in a domain to make all theorems true [Walicki] |
17748 | The L-S Theorem says no theory (even of reals) says more than a natural number theory [Walicki] |
17761 | A compact axiomatisation makes it possible to understand a field as a whole [Walicki] |
17763 | Axiomatic systems are purely syntactic, and do not presuppose any interpretation [Walicki] |
17758 | Ordinals are transitive sets of transitive sets; or transitive sets totally ordered by inclusion [Walicki] |
17755 | Ordinals are the empty set, union with the singleton, and any arbitrary union of ordinals [Walicki] |
17756 | The union of finite ordinals is the first 'limit ordinal'; 2ω is the second... [Walicki] |
17760 | Two infinite ordinals can represent a single infinite cardinal [Walicki] |
17757 | Members of ordinals are ordinals, and also subsets of ordinals [Walicki] |
17762 | In non-Euclidean geometry, all Euclidean theorems are valid that avoid the fifth postulate [Walicki] |
17754 | Inductive proof depends on the choice of the ordering [Walicki] |
17742 | Scotus based modality on semantic consistency, instead of on what the future could allow [Walicki] |
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] |
6613 | The natural kinds are objects, processes and properties/relations [Ellis] |
6616 | Least action is not a causal law, but a 'global law', describing a global essence [Ellis] |
6615 | A species requires a genus, and its essence includes the essence of the genus [Ellis] |
6614 | A hierarchy of natural kinds is elaborate ontology, but needed to explain natural laws [Ellis] |
6612 | Without general principles, we couldn't predict the behaviour of dispositional properties [Ellis] |