display all the ideas for this combination of texts
8 ideas
| 10503 | We abstract forms from appearances, and acquire knowledge of immaterial things [Aquinas] |
| Full Idea: To cognize that which is in individual matter, not as it is in such matter, is to abstract the form from the individual matter that the phantasms represents. Thus we come to a degree of cognition of immaterial things. | |
| From: Thomas Aquinas (Summa Theologicae [1265], Q85 1 Reply) | |
| A reaction: This offers abstraction as a kind of inference to best explanation which takes us beyond immediate empirical experience to what is behind it. Aquinas thinks the concepts and explanation are spiritual, but they may be generalities and essences. |
| 10509 | Understanding consists entirely of grasping abstracted species [Aquinas] |
| Full Idea: Of the thing understood all that is within the actually understanding intellect is the abstracted intelligible species. | |
| From: Thomas Aquinas (Summa Theologicae [1265], Q85 Art2) | |
| A reaction: Abstraction is never supposed to be a luxury bolt-on, but is always seen (in this tradition, and presumably in the modern one), as essential to the intellect, and its way of coming to understand the world. Aristotelian definition is behind this idea. |
| 10506 | Mathematics can be abstracted from sensible matter, and from individual intelligible matter [Aquinas] |
| Full Idea: Intellect can abstract mathematical species from sensible matter, both individual and common. Yet it cannot abstract such species from common intelligible matter, but only from individual intelligible matter. | |
| From: Thomas Aquinas (Summa Theologicae [1265], Q85 Ad2) | |
| A reaction: The idea is that common intelligible matter lacks underlying substance, which is where quantity is to be found. |
| 9094 | Mathematical objects abstract both from perceived matter, and from particular substance [Aquinas] |
| Full Idea: Objects of mathematics abstract from perceived matter both in particular and in general, though from thought matter (substance as underlying quality) only in particular and not in general. | |
| From: Thomas Aquinas (Summa Theologicae [1265], Ch.5 Q85.1) | |
| A reaction: This appears to be a thoroughly abstractionist view of the way in which humans create mathematics. Aquinas explicitly denies the Platonic view that the numbers already have abstract existence, awaiting our discovery. |
| 10505 | We can just think of an apple's colour, because the apple is not part of the colour's nature [Aquinas] |
| Full Idea: The apple is not part of the nature of the colour, and so nothing prevents one from understanding the colour while understanding nothing of the apple. | |
| From: Thomas Aquinas (Summa Theologicae [1265], Q85 1 Ad 1) | |
| A reaction: This helps to clarify why the procedure of 'ignoring' features is possible. It suggests that some features might be too entangled with the substance (too essential?) to be thus ignored. I can't think of an example, though. Why not?! |
| 10504 | Abstracting either treats something as separate, or thinks of it separately [Aquinas] |
| Full Idea: Abstracting takes place in two ways: by composition and division, understanding something to be not in another or to be separated from it; and by a simple and unconditioned consideration, understanding one thing while not considering the other at all. | |
| From: Thomas Aquinas (Summa Theologicae [1265], Q85 1 Ad 1) | |
| A reaction: The second way is by 'ignoring', which he says cannot contain error. The first seems to be considering some mode of a thing to be actually separate from the thing, which could clearly be erroneous. Ignoring makes to commitment to a unity. |
| 10507 | Numbers and shapes are abstracted by ignoring their sensible qualities [Aquinas] |
| Full Idea: Quantities such as numbers and dimensions, and also shapes (which are the limits of quantities) can be considered without their sensible qualities, which is for them to be abstracted from sensible matter. | |
| From: Thomas Aquinas (Summa Theologicae [1265], Q85 Ad2) | |
| A reaction: His account relies on underlying substance, which is where quantity is to be found (presumably because a substance is the epitome of a unit). |
| 9096 | The mind must produce by its own power an image of the individual species [Aquinas] |
| Full Idea: The agent mind must itself turn to images, and produce by its own power in the receptive mind a representation as to species of whatever the images represent as individual. | |
| From: Thomas Aquinas (Summa Theologicae [1265], Ch.5 Q85.1) | |
| A reaction: Unlike much of this section, this sentence supports Geach's claim that Aquinas agrees with him - that the mind creates its concepts, rather than 'abstracting' them from experience. |