6 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. |
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. |
23801 | Biosemantics says content is useful mapping from a producer to a consumer system [Millikan, by Schulte] |
Full Idea: Millikan's 'biosemantic' view is that representations stand midway between producer and consumer systems. The represented states of affairs (the content) maps onto the second system, and thus enable its proper function. | |
From: report of Ruth Garrett Millikan (Varieties of Meaning [2002]) by Peter Schulte - Mental Content 4.4 | |
A reaction: These meets my standard objection to all functional theories (e.g. of mind), that observing relations and functions tells you nothing about what it actually is. Millikan seems to explain the role of content, but says nothing about its actual nature. |
22817 | Citizenship involves a group of mutually supporting rights, which create community and equality [Miller,D] |
Full Idea: The idea of citizenship is that rights support each other. Protective and welfare rights provide a basis for a political role. This underpins a sense of membership, and an obligation to provide welfare. Rights confer equal status and self-respect. | |
From: David Miller (Community and Citizenship [1989], 3) | |
A reaction: A helpful eludation of what a richer concept of citizenship than mere membership might look like. Communitarians have a different concept of rights from that of liberals. |
22816 | Socialists reject nationality as a false source of identity [Miller,D] |
Full Idea: The socialist tradition has been overwhelmingly hostile to nationality as a source of identity, usually regarding it merely as an artificially created impediment to the brotherhood of man. | |
From: David Miller (Community and Citizenship [1989], 2) | |
A reaction: I have some sympathy with this, especially when nationalism is expressed in terms of enemies, but the question of what community a person can plausibly identify with is difficult. We start in hunter gather tribes of several hundred. |