27 ideas
22438 | Philosophy is largely concerned with finding the minimum that science could get by with [Quine] |
22436 | Logicians don't paraphrase logic into language, because they think in the symbolic language [Quine] |
22431 | Good algorithms and theories need many occurrences of just a few elements [Quine] |
22271 | Aristotle was the first to use schematic letters in logic [Aristotle, by Potter] |
11060 | Aristotelian syllogisms are three-part, subject-predicate, existentially committed, with laws of thought [Aristotle, by Hanna] |
18909 | Aristotelian sentences are made up by one of four 'formative' connectors [Aristotle, by Engelbretsen] |
8080 | Aristotelian identified 256 possible syllogisms, saying that 19 are valid [Aristotle, by Devlin] |
13912 | Aristotle replaced Plato's noun-verb form with unions of pairs of terms by one of four 'copulae' [Aristotle, by Engelbretsen/Sayward] |
8071 | Aristotle listed nineteen valid syllogisms (though a few of them were wrong) [Aristotle, by Devlin] |
13819 | Aristotle's said some Fs are G or some Fs are not G, forgetting that there might be no Fs [Bostock on Aristotle] |
22435 | The logician's '→' does not mean the English if-then [Quine] |
9403 | There are three different deductions for actual terms, necessary terms and possible terms [Aristotle] |
22433 | It is important that the quantification over temporal entities is timeless [Quine] |
11148 | Deduction is when we suppose one thing, and another necessarily follows [Aristotle] |
22437 | Logical languages are rooted in ordinary language, and that connection must be kept [Quine] |
18896 | Aristotle places terms at opposite ends, joined by a quantified copula [Aristotle, by Sommers] |
22434 | Reduction to logical forms first simplifies idioms and grammar, then finds a single reading of it [Quine] |
3300 | Aristotle's logic is based on the subject/predicate distinction, which leads him to substances and properties [Aristotle, by Benardete,JA] |
11149 | Affirming/denying sentences are universal, particular, or indeterminate [Aristotle] |
8079 | Aristotelian logic has two quantifiers of the subject ('all' and 'some') [Aristotle, by Devlin] |
14641 | A deduction is necessary if the major (but not the minor) premise is also necessary [Aristotle] |
22432 | Normally conditionals have no truth value; it is the consequent which has a conditional truth value [Quine] |
18911 | Linguistic terms form a hierarchy, with higher terms predicable of increasing numbers of things [Aristotle, by Engelbretsen] |
22430 | If we understand a statement, we know the circumstances of its truth [Quine] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
13713 | Quine holds time to be 'space-like': past objects are as real as spatially remote ones [Quine, by Sider] |