7 ideas
| 8463 | Maths can be reduced to logic and set theory [Quine] |
| Full Idea: Researches in the foundations of mathematics have made it clear that all of (interpreted) mathematics can be got down to logic and set theory, and the objects needed for mathematics can be got down to the category of classes (and classes of classes..). | |
| From: Willard Quine (The Scope and Language of Science [1954], §VI) | |
| A reaction: This I take to be a retreat from pure logicism, presumably influenced by Gödel. So can set theory be reduced to logic? Crispin Wright is the one the study. |
| 8461 | The category of objects incorporates the old distinction of substances and their modes [Quine] |
| Full Idea: The category of objects embraces indiscriminately what would anciently have been distinguished as substances and as modes or states of substances. | |
| From: Willard Quine (The Scope and Language of Science [1954], §6) | |
| A reaction: This nicely captures Quine's elimination of properties, by presenting them as inseparable from their objects/substances. Armstrong calls this 'Ostrich Nominalism' (for refusing to address the universals problem) but Quineans are unshaken. |
| 20945 | Belief is no more rational than is tasting and smelling [Hamann] |
| Full Idea: Belief happens as little in terms of reasons as tasting and smelling. | |
| From: J.G. Hamann (works [1770], v2:74), quoted by Andrew Bowie - Introduction to German Philosophy | |
| A reaction: That is one idea definitively expressed! I take it as only a partial truth. Beliefs happen as a result of observation and experience. But someone can draw our attention to something (and we can hunt it out ourselves), which is giving a reason for belief. |
| 5987 | Alcmaeon was the first to say the brain is central to thinking [Alcmaeon, by Staden, von] |
| Full Idea: Alcmaeon apparently was the first Greek to assign central cognitive and biological functions to the brain. | |
| From: report of Alcmaeon (fragments/reports [c.490 BCE]) by Heinrich von Staden - Alcmaeon | |
| A reaction: The name of Alcmaeon should be remembered with honour. This was 200 years before Aristotle, who still hadn't worked it out. I presume Alcmaeon inferred the truth from head injuries, which is overwhelming evidence, if you notice it. |
| 8462 | A hallucination can, like an ague, be identified with its host; the ontology is physical, the idiom mental [Quine] |
| Full Idea: A physical ontology has a place for states of mind. An inspiration or a hallucination can, like the fit of ague, be identified with its host for the duration. It leaves our mentalistic idioms fairly intact, but reconciles them with a physical ontology. | |
| From: Willard Quine (The Scope and Language of Science [1954], §VI) | |
| A reaction: Quine is employing the same strategy that he uses for substances and properties (Idea 8461): take the predication as basic, rather than reifying the thing being predicated. The ague analogy suggests that Quine is an incipient functionalist. |
| 7666 | God is not a mathematician, but a poet [Hamann, by Berlin] |
| Full Idea: Hamann's fundamental doctrine was that God was not a geometer, not a mathematician, but a poet. | |
| From: report of J.G. Hamann (works [1770]) by Isaiah Berlin - The Roots of Romanticism Ch.3 | |
| A reaction: [This idea is wonderfully expressed by D.H.Lawrence in his poem 'Red Geranium and Godly Mignonette]. The idea becomes attractive when you ask whether God would need to do mathematics. |
| 24043 | Soul must be immortal, since it continually moves, like the heavens [Alcmaeon, by Aristotle] |
| Full Idea: Alcmaeon says that the soul is immortal because it resembles immortal things and that this affection belongs to it because it is always in movement, like divine things, such the moon, the sun, the stars and the whole heaven. | |
| From: report of Alcmaeon (fragments/reports [c.490 BCE], DK 24) by Aristotle - De Anima 405a30 | |
| A reaction: Hm. Fish and rivers seem to be continually moving too. Presumably we are like gods, but then Greek gods seem awfully like humans. I don't know the history of belief in immortality; an interesting topic. |