35 ideas
7911 | Theory vanishes when one has obtained wisdom [Rahulabhadra] |
15169 | Metaphysics is clarifying how we speak and think (and possibly improving it) [Sidelle] |
8623 | Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege] |
15164 | We seem to base necessities on thought experiments and imagination [Sidelle] |
13907 | If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon] |
6297 | Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik] |
9603 | An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR] |
9894 | A unit is that according to which each existing thing is said to be one [Euclid] |
8738 | Postulate 2 says a line can be extended continuously [Euclid, by Shapiro] |
22278 | Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid] |
8673 | Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend] |
10250 | Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid] |
10302 | Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays] |
14157 | Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid] |
1600 | Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik] |
15180 | There doesn't seem to be anything in the actual world that can determine modal facts [Sidelle] |
15184 | Causal reference presupposes essentialism if it refers to modally extended entities [Sidelle] |
15172 | Clearly, essential predications express necessary properties [Sidelle] |
15181 | Being a deepest explanatory feature is an actual, not a modal property [Sidelle] |
15173 | That the essence of water is its microstructure is a convention, not a discovery [Sidelle] |
15185 | We aren't clear about 'same stuff as this', so a principle of individuation is needed to identify it [Sidelle] |
15175 | Evaluation of de dicto modalities does not depend on the identity of its objects [Sidelle] |
15032 | Necessary a posteriori is conventional for necessity and nonmodal for a posteriority [Sidelle, by Sider] |
15179 | To know empirical necessities, we need empirical facts, plus conventions about which are necessary [Sidelle] |
15171 | The necessary a posteriori is statements either of identity or of essence [Sidelle] |
15167 | Empiricism explores necessities and concept-limits by imagining negations of truths [Sidelle] |
15177 | Contradictoriness limits what is possible and what is imaginable [Sidelle] |
15176 | The individuals and kinds involved in modality are also a matter of convention [Sidelle] |
15174 | A thing doesn't need transworld identity prior to rigid reference - that could be a convention of the reference [Sidelle] |
15183 | 'Dthat' operates to make a singular term into a rigid term [Sidelle] |
15165 | A priori knowledge is entirely of analytic truths [Sidelle] |
15168 | That water is essentially H2O in some way concerns how we use 'water' [Sidelle] |
15166 | Causal reference seems to get directly at the object, thus leaving its nature open [Sidelle] |
15182 | Because some entities overlap, reference must have analytic individuation principles [Sidelle] |
15178 | Can anything in science reveal the necessity of what it discovers? [Sidelle] |