29 ideas
6841 | Some continental philosophers are relativists - Baudrillard, for example [Baudrillard, by Critchley] |
6161 | Structuralism is neo-Kantian idealism, with language playing the role of categories of understanding [Rowlands] |
10301 | The axiom of choice is controversial, but it could be replaced [Shapiro] |
10588 | First-order logic is Complete, and Compact, with the Löwenheim-Skolem Theorems [Shapiro] |
10298 | Some say that second-order logic is mathematics, not logic [Shapiro] |
10299 | If the aim of logic is to codify inferences, second-order logic is useless [Shapiro] |
10300 | Logical consequence can be defined in terms of the logical terminology [Shapiro] |
6163 | If bivalence is rejected, then excluded middle must also be rejected [Rowlands] |
10290 | Second-order variables also range over properties, sets, relations or functions [Shapiro] |
10590 | Up Löwenheim-Skolem: if natural numbers satisfy wffs, then an infinite domain satisfies them [Shapiro] |
10296 | The Löwenheim-Skolem Theorems fail for second-order languages with standard semantics [Shapiro] |
10297 | The Löwenheim-Skolem theorem seems to be a defect of first-order logic [Shapiro] |
10292 | Downward Löwenheim-Skolem: if there's an infinite model, there is a countable model [Shapiro] |
10294 | Second-order logic has the expressive power for mathematics, but an unworkable model theory [Shapiro] |
6155 | Supervenience is a one-way relation of dependence or determination between properties [Rowlands] |
10591 | Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro] |
6154 | It is argued that wholes possess modal and counterfactual properties that parts lack [Rowlands] |
6157 | Tokens are dated, concrete particulars; types are their general properties or kinds [Rowlands] |
6159 | Strong idealism is the sort of mess produced by a Cartesian separation of mind and world [Rowlands] |
6152 | Minds are rational, conscious, subjective, self-knowing, free, meaningful and self-aware [Rowlands] |
6173 | Content externalism implies that we do not have privileged access to our own minds [Rowlands] |
6174 | If someone is secretly transported to Twin Earth, others know their thoughts better than they do [Rowlands] |
6158 | Supervenience of mental and physical properties often comes with token-identity of mental and physical particulars [Rowlands] |
6168 | The content of a thought is just the meaning of a sentence [Rowlands] |
6167 | Action is bodily movement caused by intentional states [Rowlands] |
6177 | Moral intuition seems unevenly distributed between people [Rowlands] |
6156 | The 17th century reintroduced atoms as mathematical modes of Euclidean space [Rowlands] |
6170 | Natural kinds are defined by their real essence, as in gold having atomic number 79 [Rowlands] |
6178 | It is common to see the value of nature in one feature, such as life, diversity, or integrity [Rowlands] |