95 ideas
| 7990 | Serene wisdom is freedom from ties, and indifference to fortune [Anon (Bhag)] |
| 20186 | Unlike knowledge, wisdom cannot be misused [Zagzebski] |
| 19694 | Wisdom is the property of a person, not of their cognitive state [Zagzebski, by Whitcomb] |
| 7989 | Seek salvation in the wisdom of reason [Anon (Bhag)] |
| 20221 | Precision is only one of the virtues of a good definition [Zagzebski] |
| 18137 | Impredicative definitions are wrong, because they change the set that is being defined? [Bostock] |
| 20220 | Objection by counterexample is weak, because it only reveals inaccuracies in one theory [Zagzebski] |
| 18122 | Classical interdefinitions of logical constants and quantifiers is impossible in intuitionism [Bostock] |
| 18114 | There is no single agreed structure for set theory [Bostock] |
| 18107 | A 'proper class' cannot be a member of anything [Bostock] |
| 18115 | We could add axioms to make sets either as small or as large as possible [Bostock] |
| 18139 | The Axiom of Choice relies on reference to sets that we are unable to describe [Bostock] |
| 18105 | Replacement enforces a 'limitation of size' test for the existence of sets [Bostock] |
| 18108 | First-order logic is not decidable: there is no test of whether any formula is valid [Bostock] |
| 18109 | The completeness of first-order logic implies its compactness [Bostock] |
| 18123 | Substitutional quantification is just standard if all objects in the domain have a name [Bostock] |
| 18120 | The Deduction Theorem is what licenses a system of natural deduction [Bostock] |
| 18125 | Berry's Paradox considers the meaning of 'The least number not named by this name' [Bostock] |
| 18101 | Each addition changes the ordinality but not the cardinality, prior to aleph-1 [Bostock] |
| 18100 | ω + 1 is a new ordinal, but its cardinality is unchanged [Bostock] |
| 18102 | A cardinal is the earliest ordinal that has that number of predecessors [Bostock] |
| 18106 | Aleph-1 is the first ordinal that exceeds aleph-0 [Bostock] |
| 18095 | Instead of by cuts or series convergence, real numbers could be defined by axioms [Bostock] |
| 18099 | The number of reals is the number of subsets of the natural numbers [Bostock] |
| 18093 | For Eudoxus cuts in rationals are unique, but not every cut makes a real number [Bostock] |
| 18110 | Infinitesimals are not actually contradictory, because they can be non-standard real numbers [Bostock] |
| 18156 | Modern axioms of geometry do not need the real numbers [Bostock] |
| 18097 | The Peano Axioms describe a unique structure [Bostock] |
| 18148 | Hume's Principle is a definition with existential claims, and won't explain numbers [Bostock] |
| 18145 | Many things will satisfy Hume's Principle, so there are many interpretations of it [Bostock] |
| 18149 | There are many criteria for the identity of numbers [Bostock] |
| 18143 | Frege makes numbers sets to solve the Caesar problem, but maybe Caesar is a set! [Bostock] |
| 18116 | Numbers can't be positions, if nothing decides what position a given number has [Bostock] |
| 18117 | Structuralism falsely assumes relations to other numbers are numbers' only properties [Bostock] |
| 18141 | Nominalism about mathematics is either reductionist, or fictionalist [Bostock] |
| 18157 | Nominalism as based on application of numbers is no good, because there are too many applications [Bostock] |
| 18150 | Actual measurement could never require the precision of the real numbers [Bostock] |
| 18158 | Ordinals are mainly used adjectively, as in 'the first', 'the second'... [Bostock] |
| 18127 | Simple type theory has 'levels', but ramified type theory has 'orders' [Bostock] |
| 18144 | Neo-logicists agree that HP introduces number, but also claim that it suffices for the job [Bostock] |
| 18147 | Neo-logicists meet the Caesar problem by saying Hume's Principle is unique to number [Bostock] |
| 18146 | If Hume's Principle is the whole story, that implies structuralism [Bostock] |
| 18129 | Many crucial logicist definitions are in fact impredicative [Bostock] |
| 18111 | Treating numbers as objects doesn't seem like logic, since arithmetic fixes their totality [Bostock] |
| 18159 | Higher cardinalities in sets are just fairy stories [Bostock] |
| 18155 | A fairy tale may give predictions, but only a true theory can give explanations [Bostock] |
| 18140 | The best version of conceptualism is predicativism [Bostock] |
| 18138 | Conceptualism fails to grasp mathematical properties, infinity, and objective truth values [Bostock] |
| 18131 | If abstracta only exist if they are expressible, there can only be denumerably many of them [Bostock] |
| 18134 | Predicativism makes theories of huge cardinals impossible [Bostock] |
| 18135 | If mathematics rests on science, predicativism may be the best approach [Bostock] |
| 18136 | If we can only think of what we can describe, predicativism may be implied [Bostock] |
| 18133 | The usual definitions of identity and of natural numbers are impredicative [Bostock] |
| 18132 | The predicativity restriction makes a difference with the real numbers [Bostock] |
| 7996 | I am all the beauty and goodness of things, says Krishna [Anon (Bhag)] |
| 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] |
| 7995 | In all living beings I am the light of consciousness, says Krishna [Anon (Bhag)] |
| 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] |
| 18121 | In logic a proposition means the same when it is and when it is not asserted [Bostock] |
| 7999 | All actions come from: body, lower self, perception, means of action, or Fate [Anon (Bhag)] |
| 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] |
| 7991 | Hate and lust have their roots in man's lower nature [Anon (Bhag)] |
| 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] |
| 7988 | There is no greater good for a warrior than to fight in a just war [Anon (Bhag)] |
| 7992 | The visible forms of nature are earth, water, fire, air, ether; mind, reason, and the sense of 'I' [Anon (Bhag)] |
| 7994 | Everything, including the gods, comes from me, says Krishna [Anon (Bhag)] |
| 7993 | Brahman is supreme, Atman his spirit in man, and Karma is the force of creation [Anon (Bhag)] |
| 7997 | Only by love can men see me, know me, and come to me, says Krishna [Anon (Bhag)] |
| 7998 | The three gates of hell are lust, anger and greed [Anon (Bhag)] |