58 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] |
22289 | Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter] |
20220 | Objection by counterexample is weak, because it only reveals inaccuracies in one theory [Zagzebski] |
10183 | An infinite set maps into its own proper subset [Dedekind, by Reck/Price] |
22288 | We have the idea of self, and an idea of that idea, and so on, so infinite ideas are available [Dedekind, by Potter] |
10706 | Dedekind originally thought more in terms of mereology than of sets [Dedekind, by Potter] |
9823 | Numbers are free creations of the human mind, to understand differences [Dedekind] |
10090 | Dedekind defined the integers, rationals and reals in terms of just the natural numbers [Dedekind, by George/Velleman] |
17452 | Ordinals can define cardinals, as the smallest ordinal that maps the set [Dedekind, by Heck] |
7524 | Order, not quantity, is central to defining numbers [Dedekind, by Monk] |
14131 | Dedekind's ordinals are just members of any progression whatever [Dedekind, by Russell] |
14437 | Dedekind's axiom that his Cut must be filled has the advantages of theft over honest toil [Dedekind, by Russell] |
18094 | Dedekind says each cut matches a real; logicists say the cuts are the reals [Dedekind, by Bostock] |
9824 | In counting we see the human ability to relate, correspond and represent [Dedekind] |
9826 | A system S is said to be infinite when it is similar to a proper part of itself [Dedekind] |
13508 | Dedekind gives a base number which isn't a successor, then adds successors and induction [Dedekind, by Hart,WD] |
18096 | Zero is a member, and all successors; numbers are the intersection of sets satisfying this [Dedekind, by Bostock] |
18841 | Categoricity implies that Dedekind has characterised the numbers, because it has one domain [Rumfitt on Dedekind] |
14130 | Induction is proved in Dedekind, an axiom in Peano; the latter seems simpler and clearer [Dedekind, by Russell] |
8924 | Dedekind originated the structuralist conception of mathematics [Dedekind, by MacBride] |
9153 | Dedekindian abstraction talks of 'positions', where Cantorian abstraction talks of similar objects [Dedekind, by Fine,K] |
9825 | A thing is completely determined by all that can be thought concerning it [Dedekind] |
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] |
20215 | A justified belief emulates the understanding and beliefs of an intellectually virtuous person [Zagzebski] |
20210 | A reliable process is no use without the virtues to make use of them [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] |
9189 | Dedekind said numbers were abstracted from systems of objects, leaving only their position [Dedekind, by Dummett] |
9827 | We derive the natural numbers, by neglecting everything of a system except distinctness and order [Dedekind] |
9979 | Dedekind has a conception of abstraction which is not psychologistic [Dedekind, by Tait] |
20082 | Bodily movements are not actions, which are really the tryings within bodily movement [Hornsby, by Stout,R] |
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] |
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] |
20207 | Every moral virtue requires a degree of intelligence [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] |
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] |