66 ideas
| 501 | Reason is a more powerful persuader than gold [Democritus (attr)] |
| 22289 | Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter] |
| 21032 | Speak truth only to those who deserve the truth [Sandel] |
| 21033 | Careful evasions of truth at least show respect for it [Sandel] |
| 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] |
| 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] |
| 514 | Beauty is merely animal without intelligence [Democritus (attr)] |
| 525 | Behave well when alone, and feel shame in you own eyes [Democritus (attr)] |
| 502 | Good breeding in men means having a good character [Democritus (attr)] |
| 507 | Virtuous love consists of decorous desire for the beautiful [Democritus (attr)] |
| 521 | We should only choose pleasures which are concerned with the beautiful [Democritus (attr)] |
| 505 | Good and true are the same for everyone, but pleasures differ [Democritus (attr)] |
| 508 | Only accept beneficial pleasures [Democritus (attr)] |
| 520 | The great pleasures come from the contemplation of noble works [Democritus (attr)] |
| 522 | Moderation brings more pleasures, and so increases pleasure [Democritus (attr)] |
| 506 | Immoderate desire is the mark of a child, not an adult [Democritus (attr)] |
| 523 | It is as brave to master pleasure as to overcome the enemy [Democritus (attr)] |
| 21038 | Does consent create the obligation, or must there be some benefit? [Sandel] |
| 21039 | Moral contracts involve both consent and reciprocity; making the deal, and keeping it [Sandel] |
| 21036 | Not all deals are fair deals [Sandel] |
| 21030 | The categorical imperative is not the Golden Rule, which concerns contingent desires [Sandel] |
| 503 | Virtue doesn't just avoid evil, but also doesn't desire it [Democritus (attr)] |
| 518 | A bad life is just a drawn-out death [Democritus (attr)] |
| 497 | Be virtuous from duty, not from fear [Democritus (attr)] |
| 499 | Repentance of shameful deeds is salvation [Democritus (attr)] |
| 524 | Virtue comes more from practice than from nature [Democritus (attr)] |
| 519 | One must avoid even speaking of evil deeds [Democritus (attr)] |
| 500 | The wrongdoer is more unfortunate than the person wronged [Democritus (attr)] |
| 526 | Small appetite makes poverty equal to wealth [Democritus (attr)] |
| 1539 | The endless desire for money is a crueller slavery than poverty [Democritus (attr)] |
| 511 | It is better to have one intelligent friend than many unintelligent [Democritus (attr)] |
| 498 | It is a great thing, when one is in adversity, to think of duty [Democritus (attr)] |
| 21031 | Man cannot dispose of himself, because he is not a thing to be owned [Sandel] |
| 21035 | Just visiting (and using roads) is hardly ratifying the Constitution [Sandel] |
| 21037 | A ratified constitution may not be a just constitution [Sandel] |
| 21034 | A just constitution harmonises the different freedoms [Sandel] |
| 1541 | It is better to be poor in a democracy than be rich without freedom [Democritus (attr)] |
| 21049 | Liberal freedom was a response to assigned destinies like caste and class [Sandel] |
| 21040 | Libertarians just want formal equality in a free market; the meritocratic view wants fair equality [Sandel] |
| 21028 | We can approach justice through welfare, or freedom, or virtue [Sandel] |
| 21027 | Justice concerns how a society distributes what it prizes - wealth, rights, power and honours [Sandel] |
| 21042 | Should we redress wrongs done by a previous generation? [Sandel] |
| 21043 | Distributive justice concern deserts, as well as who gets what [Sandel] |
| 21052 | Justice is about how we value things, and not just about distributions [Sandel] |
| 21048 | Work is not fair if it is negotiated, even in a fair situation, but if it suits the nature of the worker [Sandel] |
| 21045 | Teleological thinking is essential for social and political issues [Sandel] |