31 ideas
| 10751 | Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg] |
| 10757 | Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg] |
| 10759 | There are at least seven possible systems of semantics for second-order logic [Rossberg] |
| 10753 | Logical consequence is intuitively semantic, and captured by model theory [Rossberg] |
| 10752 | Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg] |
| 10754 | In proof-theory, logical form is shown by the logical constants [Rossberg] |
| 10756 | A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg] |
| 10758 | If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg] |
| 10761 | Completeness can always be achieved by cunning model-design [Rossberg] |
| 10755 | A deductive system is only incomplete with respect to a formal semantics [Rossberg] |
| 19542 | It is nonsense that understanding does not involve knowledge; to understand, you must know [Dougherty/Rysiew] |
| 19543 | To grasp understanding, we should be more explicit about what needs to be known [Dougherty/Rysiew] |
| 19541 | Rather than knowledge, our epistemic aim may be mere true belief, or else understanding and wisdom [Dougherty/Rysiew] |
| 19540 | Don't confuse justified belief with justified believers [Dougherty/Rysiew] |
| 19539 | If knowledge is unanalysable, that makes justification more important [Dougherty/Rysiew] |
| 19538 | Entailment is modelled in formal semantics as set inclusion (where 'mammals' contains 'cats') [Dougherty/Rysiew] |
| 22673 | Wherever there is a small community, the association of the people is natural [Tocqueville] |
| 22676 | The people are just individuals, and only present themselves as united to foreigners [Tocqueville] |
| 22679 | Vast empires are bad for well-being and freedom, though they may promote glory [Tocqueville] |
| 22680 | People would be much happier and freer in small nations [Tocqueville] |
| 22675 | In American judges rule according to the Constitution, not the law [Tocqueville] |
| 22677 | A monarchical family is always deeply concerned with the interests of the state [Tocqueville] |
| 22683 | Despots like to see their own regulations ignored, by themselves and their agents [Tocqueville] |
| 22669 | Aristocracy is constituted by inherited landed property [Tocqueville] |
| 22674 | In Europe it is thought that local government is best handled centrally [Tocqueville] |
| 22678 | An election, and its lead up time, are always a national crisis [Tocqueville] |
| 22682 | Universal suffrage is no guarantee of wise choices [Tocqueville] |
| 22670 | Slavery undermines the morals and energy of a society [Tocqueville] |
| 22681 | The liberty of the press is more valuable for what it prevents than what it promotes [Tocqueville] |
| 22672 | It is admirable to elevate the humble to the level of the great, but the opposite is depraved [Tocqueville] |
| 22671 | Equality can only be established by equal rights for all (or no rights for anyone) [Tocqueville] |