5 ideas
| 17606 | Axioms reveal the underlying assumptions, and reveal relationships between different areas [Kline] |
| Full Idea: The axiomatic method ....revealed precisely what assumptions underlie each branch [of mathematics] and made possible the comparison and clarification of the relationships of various branches. | |
| From: Morris Kline (Mathematical Thought from Ancient to Modern Times [1972], p.1027), quoted by Penelope Maddy - Defending the Axioms 1.3 | |
| A reaction: I take this to be the 'fruitfulness' which marks out the discovery of the essence of something. |
| 12354 | A 'categorial' property is had by virtue of being or having an item from a category [Wedin] |
| Full Idea: A 'categorial' property is a property something has by virtue of being or having an item from one of the categories. | |
| From: Michael V. Wedin (Aristotle's Theory of Substance [2000], V.5) | |
| A reaction: I deny that these are 'properties'. A thing is categorised according to its properties. To denote the category as a further property is the route to madness (well, to a regress). |
| 12358 | Substance is a principle and a kind of cause [Wedin] |
| Full Idea: Substance [ousia] is a principle [arché] and a kind of cause [aitia]. | |
| From: Michael V. Wedin (Aristotle's Theory of Substance [2000], 1041a09) | |
| A reaction: The fact that substance is a cause is also the reason why substance is the ultimate explanation. It is here that I take the word 'power' to capture best what Aristotle has in mind. |
| 12346 | Form explains why some matter is of a certain kind, and that is explanatory bedrock [Wedin] |
| Full Idea: The form of a thing (of a given kind) explains why certain matter constitutes a thing of that kind, and with this, Aristotle holds, we have reached explanatory bedrock. | |
| From: Michael V. Wedin (Aristotle's Theory of Substance [2000], Intro) | |
| A reaction: We must explain an individual tiger which is unusually docile. It must have an individual form which makes it a tiger, but also an individual form which makes it docile. |
| 1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |
| Full Idea: The Egyptians were the first to claim that the soul of a human being is immortal, and that each time the body dies the soul enters another creature just as it is being born. | |
| From: Herodotus (The Histories [c.435 BCE], 2.123.2) |