44 ideas
5333 | Philosophy needs wisdom about who we are, as well as how we ought to be [Flanagan] |
5334 | We resist science partly because it can't provide ethical wisdom [Flanagan] |
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] |
19696 | There are reasons 'for which' a belief is held, reasons 'why' it is believed, and reasons 'to' believe it [Neta] |
19697 | The basing relation of a reason to a belief should both support and explain the belief [Neta] |
5340 | Explanation does not entail prediction [Flanagan] |
5346 | In the 17th century a collisionlike view of causation made mental causation implausible [Flanagan] |
5341 | Only you can have your subjective experiences because only you are hooked up to your nervous system [Flanagan] |
5351 | We only have a sense of our self as continuous, not as exactly the same [Flanagan] |
5353 | The self is an abstraction which magnifies important aspects of autobiography [Flanagan] |
5354 | We are not born with a self; we develop a self through living [Flanagan] |
5349 | For Buddhists a fixed self is a morally dangerous illusion [Flanagan] |
5338 | Normal free will claims control of what I do, but a stronger view claims control of thought and feeling [Flanagan] |
5344 | Free will is held to give us a whole list of desirable capacities for living [Flanagan] |
5332 | People believe they have free will that circumvents natural law, but only an incorporeal mind could do this [Flanagan] |
5345 | We only think of ourselves as having free will because we first thought of God that way [Flanagan] |
5343 | People largely came to believe in dualism because it made human agents free [Flanagan] |
5347 | Behaviourism notoriously has nothing to say about mental causation [Flanagan] |
5339 | Cars and bodies obey principles of causation, without us knowing any 'strict laws' about them [Flanagan] |
5342 | Physicalism doesn't deny that the essence of an experience is more than its neural realiser [Flanagan] |
5335 | Emotions are usually very apt, rather than being non-rational and fickle [Flanagan] |
5348 | Intellectualism admires the 'principled actor', non-intellectualism admires the 'good character' [Flanagan] |
5355 | Cognitivists think morals are discovered by reason [Flanagan] |
5336 | Ethics is the science of the conditions that lead to human flourishing [Flanagan] |
5350 | The Hindu doctrine of reincarnation only appeared in the eighth century CE [Flanagan] |
5352 | The idea of the soul gets some support from the scientific belief in essential 'natural kinds' [Flanagan] |