54 ideas
| 20186 | Unlike knowledge, wisdom cannot be misused [Zagzebski] |
| 19694 | Wisdom is the property of a person, not of their cognitive state [Zagzebski, by Whitcomb] |
| 20221 | Precision is only one of the virtues of a good definition [Zagzebski] |
| 20220 | Objection by counterexample is weak, because it only reveals inaccuracies in one theory [Zagzebski] |
| 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] |
| 17763 | Axiomatic systems are purely syntactic, and do not presuppose any interpretation [Walicki] |
| 17761 | A compact axiomatisation makes it possible to understand a field as a whole [Walicki] |
| 17757 | Members of ordinals are ordinals, and also subsets of ordinals [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] |
| 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] |
| 20188 | Modern epistemology is too atomistic, and neglects understanding [Zagzebski] |
| 20223 | Epistemology is excessively atomic, by focusing on justification instead of understanding [Zagzebski] |
| 20217 | Truth is valuable, but someone knowing the truth is more valuable [Zagzebski] |
| 20191 | Some beliefs are fairly voluntary, and others are not at all so [Zagzebski] |
| 20222 | Knowledge either aims at a quantity of truths, or a quality of understanding of truths [Zagzebski] |
| 20225 | For internalists Gettier situations are where internally it is fine, but there is an external mishap [Zagzebski] |
| 20226 | Gettier problems are always possible if justification and truth are not closely linked [Zagzebski] |
| 20228 | We avoid the Gettier problem if the support for the belief entails its truth [Zagzebski] |
| 20227 | Gettier cases arise when good luck cancels out bad luck [Zagzebski] |
| 20194 | Intellectual virtues are forms of moral virtue [Zagzebski] |
| 20206 | Intellectual and moral prejudice are the same vice (and there are other examples) [Zagzebski] |
| 20208 | We can name at least thirteen intellectual vices [Zagzebski] |
| 20210 | A reliable process is no use without the virtues to make use of them [Zagzebski] |
| 20215 | A justified belief emulates the understanding and beliefs of an intellectually virtuous person [Zagzebski] |
| 20187 | Epistemic perfection for reliabilism is a truth-producing machine [Zagzebski] |
| 20218 | The self is known as much by its knowledge as by its action [Zagzebski] |
| 20205 | The feeling accompanying curiosity is neither pleasant nor painful [Zagzebski] |
| 20202 | Motives involve desires, but also how the desires connect to our aims [Zagzebski] |
| 20216 | Modern moral theory concerns settling conflicts, rather than human fulfilment [Zagzebski] |
| 20193 | Moral luck means our praise and blame may exceed our control or awareness [Zagzebski] |
| 20199 | Nowadays we doubt the Greek view that the flourishing of individuals and communities are linked [Zagzebski] |
| 20207 | Every moral virtue requires a degree of intelligence [Zagzebski] |
| 20196 | Virtue theory is hopeless if there is no core of agreed universal virtues [Zagzebski] |
| 20200 | A virtue must always have a corresponding vice [Zagzebski] |
| 20201 | Eight marks distingush skills from virtues [Zagzebski, by PG] |
| 20203 | Virtues are deep acquired excellences of persons, which successfully attain desire ends [Zagzebski] |
| 20214 | Virtue theory can have lots of rules, as long as they are grounded in virtues and in facts [Zagzebski] |
| 20213 | We need phronesis to coordinate our virtues [Zagzebski] |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| 20209 | For the virtue of honesty you must be careful with the truth, and not just speak truly [Zagzebski] |
| 20197 | The courage of an evil person is still a quality worth having [Zagzebski] |