21 ideas
18901 | Truthmakers are facts 'of' a domain, not something 'in' the domain [Sommers] |
13913 | The four 'perfect syllogisms' are called Barbara, Celarent, Darii and Ferio [Engelbretsen/Sayward] |
13914 | Syllogistic logic has one rule: what is affirmed/denied of wholes is affirmed/denied of their parts [Engelbretsen/Sayward] |
13915 | Syllogistic can't handle sentences with singular terms, or relational terms, or compound sentences [Engelbretsen/Sayward] |
18904 | 'Predicable' terms come in charged pairs, with one the negation of the other [Sommers, by Engelbretsen] |
18895 | Logic which maps ordinary reasoning must be transparent, and free of variables [Sommers] |
13916 | Term logic uses expression letters and brackets, and '-' for negative terms, and '+' for compound terms [Engelbretsen/Sayward] |
13850 | In modern logic all formal validity can be characterised syntactically [Engelbretsen/Sayward] |
13849 | Classical logic rests on truth and models, where constructivist logic rests on defence and refutation [Engelbretsen/Sayward] |
18897 | Predicate logic has to spell out that its identity relation '=' is an equivalent relation [Sommers] |
13851 | Unlike most other signs, = cannot be eliminated [Engelbretsen/Sayward] |
18893 | Translating into quantificational idiom offers no clues as to how ordinary thinkers reason [Sommers] |
18903 | Sommers promotes the old idea that negation basically refers to terms [Sommers, by Engelbretsen] |
18894 | Predicates form a hierarchy, from the most general, down to names at the bottom [Sommers] |
13852 | Axioms are ω-incomplete if the instances are all derivable, but the universal quantification isn't [Engelbretsen/Sayward] |
18900 | Unfortunately for realists, modern logic cannot say that some fact exists [Sommers] |
13127 | Categories can't overlap; they are either disjoint, or inclusive [Sommers, by Westerhoff] |
18898 | In standard logic, names are the only way to refer [Sommers] |
7276 | All art is quite useless [Wilde] |
7274 | Books are only well or badly written, not moral or immoral [Wilde] |
7275 | Having ethical sympathies is a bad mannerism of style in an artist [Wilde] |