10 ideas
1597 | Thales was the first western thinker to believe the arché was intelligible [Roochnik on Thales] |
Full Idea: Thales was the first thinker in the west to believe that the arché (the basis of things) was intelligible. | |
From: comment on Thales (fragments/reports [c.585 BCE]) by David Roochnik - The Tragedy of Reason p.138 |
8956 | What is a singleton set, if a set is meant to be a collection of objects? [Szabó] |
Full Idea: The relationship between an object and its singleton is puzzling. Our intuitive conception of a set is a collection of objects - what are we to make of a collection of a single object? | |
From: Zoltán Gendler Szabó (Nominalism [2003], 4.1) | |
A reaction: The ontological problem seems to be the same as that of the empty set, and indeed the claim that a pair of entities is three things. For logicians the empty set is as real as a pet dog, but not for me. |
8953 | Abstract entities don't depend on their concrete entities ...but maybe on the totality of concrete things [Szabó] |
Full Idea: It is better not to include in the definition of abstract entities that they ontologically depend on their concrete correlates. Note: ..but they may depend on the totality of concreta; maybe 'the supervenience of the abstract' is part of ordinary thought. | |
From: Zoltán Gendler Szabó (Nominalism [2003], 2.2) | |
A reaction: [the quoted phrase is from Gideon Rosen] It certainly seems unlikely that the concept of the perfect hexagon depends on a perfect hexagon having existed. Human minds have intervened between the concrete and the abstract. |
3013 | Nothing is stronger than necessity, which rules everything [Thales, by Diog. Laertius] |
Full Idea: Necessity is the strongest of things, for it rules everything. | |
From: report of Thales (fragments/reports [c.585 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 01.2.9 |
8954 | Geometrical circles cannot identify a circular paint patch, presumably because they lack something [Szabó] |
Full Idea: The vocabulary of geometry is sufficient to identify the circle, but could not be used to identify any circular paint patch. The reason must be that the circle lacks certain properties that can distinguish paint patches from one another. | |
From: Zoltán Gendler Szabó (Nominalism [2003], 2.2) | |
A reaction: I take this to be support for the traditional view, that abstractions are created by omitting some of the properties of physical objects. I take them to be fictional creations, reified by language, and not actual hidden entities that have been observed. |
8955 | Abstractions are imperceptible, non-causal, and non-spatiotemporal (the third explaining the others) [Szabó] |
Full Idea: In current discussions, abstract entities are usually distinguished as 1) in principle imperceptible, 2) incapable of causal interaction, 3) not located in space-time. The first is often explained by the second, which is in turn explained by the third. | |
From: Zoltán Gendler Szabó (Nominalism [2003], 2.2) | |
A reaction: Szabó concludes by offering 3 as the sole criterion of abstraction. As Lewis points out, the Way of Negation for defining abstracta doesn't tell us very much. Courage may be non-spatiotemporal, but what about Alexander the Great's courage? |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |
1494 | Thales said water is the first principle, perhaps from observing that food is moist [Thales, by Aristotle] |
Full Idea: Thales says water is the first principle (which is why he declared the earth is on water); perhaps he concluded this from seeing that all food is moist. | |
From: report of Thales (fragments/reports [c.585 BCE], A12) by Aristotle - Metaphysics 983b12 |
1713 | Thales must have thought soul causes movement, since he thought magnets have soul [Thales, by Aristotle] |
Full Idea: Thales seems, from what is recorded of him, to have supposed that the soul is something productive of movement, if he really said that the magnet has soul because it produces movement in iron. | |
From: report of Thales (fragments/reports [c.585 BCE]) by Aristotle - De Anima 405a20 |
1742 | Thales said the gods know our wrong thoughts as well as our evil actions [Thales, by Diog. Laertius] |
Full Idea: When asked whether a man who did wrong could escape the notice of the gods, Thales is said to have replied: 'No, not even if he thinks wrong.' | |
From: report of Thales (fragments/reports [c.585 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 01.Th.9 |