52 ideas
| 162 | Can we understand an individual soul without knowing the soul in general? [Plato] |
| 160 | The highest ability in man is the ability to discuss unity and plurality in the nature of things [Plato] |
| 166 | A speaker should be able to divide a subject, right down to the limits of divisibility [Plato] |
| 7785 | The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos] |
| 10699 | Does a bowl of Cheerios contain all its sets and subsets? [Boolos] |
| 10225 | Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro] |
| 10736 | Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo] |
| 10780 | Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo] |
| 10697 | Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos] |
| 13671 | Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro] |
| 10267 | We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro] |
| 10698 | Plural forms have no more ontological commitment than to first-order objects [Boolos] |
| 7806 | Boolos invented plural quantification [Boolos, by Benardete,JA] |
| 7953 | Reasoning needs to cut nature accurately at the joints [Plato] |
| 10700 | First- and second-order quantifiers are two ways of referring to the same things [Boolos] |
| 16121 | I revere anyone who can discern a single thing that encompasses many things [Plato] |
| 153 | It takes a person to understand, by using universals, and by using reason to create a unity out of sense-impressions [Plato] |
| 154 | We would have an overpowering love of knowledge if we had a pure idea of it - as with the other Forms [Plato] |
| 151 | True knowledge is of the reality behind sense experience [Plato] |
| 165 | If the apparent facts strongly conflict with probability, it is in everyone's interests to suppress the facts [Plato] |
| 9296 | The soul is self-motion [Plato] |
| 23997 | Plato saw emotions and appetites as wild horses, in need of taming [Plato, by Goldie] |
| 159 | Only a good philosopher can be a good speaker [Plato] |
| 5946 | 'Phaedrus' pioneers the notion of philosophical rhetoric [Lawson-Tancred on Plato] |
| 158 | An excellent speech seems to imply a knowledge of the truth in the mind of the speaker [Plato] |
| 3772 | The will, in the beginning, is entirely produced by desire [Mill] |
| 155 | Beauty is the clearest and most lovely of the Forms [Plato] |
| 3769 | With early training, any absurdity or evil may be given the power of conscience [Mill] |
| 143 | The two ruling human principles are the natural desire for pleasure, and an acquired love of virtue [Plato] |
| 3767 | Motive shows the worth of the agent, but not of the action [Mill] |
| 157 | Most pleasure is release from pain, and is therefore not worthwhile [Plato] |
| 144 | Reason impels us towards excellence, which teaches us self-control [Plato] |
| 3771 | Virtues only have value because they achieve some further end [Mill] |
| 156 | Bad people are never really friends with one another [Plato] |
| 3768 | Orthodox morality is the only one which feels obligatory [Mill] |
| 3776 | Utilitarianism only works if everybody has a totally equal right to happiness [Mill] |
| 7202 | The English believe in the task of annihilating evil for the victory of good [Nietzsche on Mill] |
| 5935 | Mill's qualities of pleasure is an admission that there are other good states of mind than pleasure [Ross on Mill] |
| 3764 | Actions are right if they promote pleasure, wrong if they promote pain [Mill] |
| 3763 | Ultimate goods such as pleasure can never be proved to be good [Mill] |
| 3765 | Only pleasure and freedom from pain are desirable as ends [Mill] |
| 3766 | Better to be Socrates dissatisfied than a fool satisfied [Mill] |
| 3770 | General happiness is only desirable because individuals desire their own happiness [Mill] |
| 6697 | Moral rules protecting human welfare are more vital than local maxims [Mill] |
| 3774 | Rights are a matter of justice, not of benevolence [Mill] |
| 3773 | No individual has the right to receive our benevolence [Mill] |
| 3775 | A right is a valid claim to society's protection [Mill] |
| 148 | If the prime origin is destroyed, it will not come into being again out of anything [Plato] |
| 152 | The mind of God is fully satisfied and happy with a vision of reality and truth [Plato] |
| 150 | We cannot conceive of God, so we have to think of Him as an immortal version of ourselves [Plato] |
| 149 | There isn't a single reason for positing the existence of immortal beings [Plato] |
| 146 | Soul is always in motion, so it must be self-moving and immortal [Plato] |