18 ideas
23291 | Without truth, both language and thought are impossible [Davidson] |
23284 | Plato's Forms confused truth with the most eminent truths, so only Truth itself is completely true [Davidson] |
23286 | Truth can't be a goal, because we can neither recognise it nor confim it [Davidson] |
23292 | Correspondence can't be defined, but it shows how truth depends on the world [Davidson] |
23288 | When Tarski defines truth for different languages, how do we know it is a single concept? [Davidson] |
23287 | Disquotation only accounts for truth if the metalanguage contains the object language [Davidson] |
17824 | The master science is physical objects divided into sets [Maddy] |
13007 | Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz] |
17825 | Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy] |
17826 | Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy] |
17828 | Numbers are properties of sets, just as lengths are properties of physical objects [Maddy] |
17827 | Sets exist where their elements are, but numbers are more like universals [Maddy] |
17830 | Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy] |
17823 | If mathematical objects exist, how can we know them, and which objects are they? [Maddy] |
17829 | Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy] |
23285 | If we try to identify facts precisely, they all melt into one (as the Slingshot Argument proves) [Davidson] |
23289 | Knowing the potential truth conditions of a sentence is necessary and sufficient for understanding [Davidson] |
23290 | It could be that the use of a sentence is explained by its truth conditions [Davidson] |