47 ideas
13786 | Wisdom is called 'beautiful', because it performs fine works [Plato] |
13780 | Good people are no different from wise ones [Plato] |
1606 | You have to be a Platonist to debate about reality, so every philosopher is a Platonist [Roochnik] |
1595 | Philosophy aims to satisfy the chief human desire - the articulation of beauty itself [Roochnik] |
1571 | 'Logos' ranges from thought/reasoning, to words, to rational structures outside thought [Roochnik] |
1572 | In the seventeenth century the only acceptable form of logos was technical knowledge [Roochnik] |
1573 | The hallmark of a person with logos is that they give reasons why one opinion is superior to another [Roochnik] |
1592 | Logos cannot refute the relativist, and so must admit that it too is a matter of desire (for truth and agreement) [Roochnik] |
1593 | Human desire has an ordered structure, with logos at the pinnacle [Roochnik] |
1603 | Logos is not unconditionally good, but good if there is another person willing to engage with it [Roochnik] |
1598 | We prefer reason or poetry according to whether basics are intelligible or not [Roochnik] |
1584 | Modern science, by aiming for clarity about the external world, has abandoned rationality in the human world [Roochnik] |
1591 | Unfortunately for reason, argument can't be used to establish the value of argument [Roochnik] |
1599 | Attempts to suspend all presuppositions are hopeless, because a common ground must be agreed for the process [Roochnik] |
13778 | A dialectician is someone who knows how to ask and to answer questions [Plato] |
8623 | Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege] |
13776 | Truths say of what is that it is, falsehoods say of what is that it is not [Plato] |
13907 | If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon] |
13777 | A name is a sort of tool [Plato] |
13790 | A name-giver might misname something, then force other names to conform to it [Plato] |
13791 | Things must be known before they are named, so it can't be the names that give us knowledge [Plato] |
13789 | Anyone who knows a thing's name also knows the thing [Plato] |
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] |
2063 | How can beauty have identity if it changes? [Plato] |
1605 | Reality can be viewed neutrally, or as an object of desire [Roochnik] |
13775 | We only succeed in cutting if we use appropriate tools, not if we approach it randomly [Plato] |
13787 | Doesn't each thing have an essence, just as it has other qualities? [Plato] |
13774 | Things don't have every attribute, and essence isn't private, so each thing has an essence [Plato] |
13772 | Is the being or essence of each thing private to each person? [Plato] |
13788 | If we made a perfect duplicate of Cratylus, there would be two Cratyluses [Plato] |
13792 | There can't be any knowledge if things are constantly changing [Plato] |
1577 | Relativism is a disease which destroys the possibility of rational debate [Roochnik] |
13781 | Soul causes the body to live, and gives it power to breathe and to be revitalized [Plato] |
1578 | If relativism is the correct account of human values, then rhetoric is more important than reasoning [Roochnik] |
1596 | Reasoning aims not at the understanding of objects, but at the desire to give beautiful speeches [Roochnik] |
13785 | 'Arete' signifies lack of complexity and a free-flowing soul [Plato] |
13779 | The natural offspring of a lion is called a 'lion' (but what about the offspring of a king?) [Plato] |
13783 | Even the gods love play [Plato] |