7 ideas
| 17423 | The essence of natural numbers must reflect all the functions they perform [Sicha] |
| Full Idea: What is really essential to being a natural number is what is common to the natural numbers in all the functions they perform. | |
| From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2) | |
| A reaction: I could try using natural numbers as insults. 'You despicable seven!' 'How dare you!' I actually agree. The question about functions is always 'what is it about this thing that enables it to perform this function'. |
| 17425 | To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha] |
| Full Idea: A knowledge of 'how many' cannot be inferred from the equinumerosity of two collections; a numerical quantifier statement is needed. | |
| From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 3) |
| 17424 | Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha] |
| Full Idea: Counting is the activity of putting an initial segment of a serially ordered string in 1-1 correspondence with some other collection of entities. | |
| From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2) |
| 5060 | All substances analyse down to simple substances, which are souls, or 'monads' [Leibniz] |
| Full Idea: What (in the analysis of substances) exist ultimately are simple substances - namely, souls, or, if you prefer a more general terms, 'monads', which are without parts. | |
| From: Gottfried Leibniz (Metaphysical conseqs of principle of reason [1712], §7) | |
| A reaction: This seems to me to be atomistic panpsychism. He is opposed to physical atomism, because infinite divisibility seems obvious, but unity is claimed to be equally obvious in the world of the mental. Does this mean bricks are made of souls? Odd. |
| 5059 | Power rules in efficient causes, but wisdom rules in connecting them to final causes [Leibniz] |
| Full Idea: In all of nature efficient causes correspond to final causes, because everything proceeds from a cause which is not only powerful, but wise; and with the rule of power through efficient causes, there is involved the rule of wisdom through final causes. | |
| From: Gottfried Leibniz (Metaphysical conseqs of principle of reason [1712], §5) | |
| A reaction: Nowadays this carrot-and-stick view of causation is unfashionable, but I won't rule it out. The deepest 'why?' we can ask won't just go away. This unity by a divine mind strikes me as too simple, but Leibniz is right to try to unify Aristotelian causes. |
| 16713 | Philosophers are the forefathers of heretics [Tertullian] |
| Full Idea: Philosophers are the forefathers of heretics. | |
| From: Tertullian (works [c.200]), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 20.2 |
| 6610 | I believe because it is absurd [Tertullian] |
| Full Idea: I believe because it is absurd ('Credo quia absurdum est'). | |
| From: Tertullian (works [c.200]), quoted by Robert Fogelin - Walking the Tightrope of Reason n4.2 | |
| A reaction: This seems to be a rather desperate remark, in response to what must have been rather good hostile arguments. No one would abandon the support of reason if it was easy to acquire. You can't deny its engaging romantic defiance, though. |