Combining Texts

All the ideas for 'The Problem of Empty Names', 'On Simple Theories of a Complex World' and 'Against the Mathematicians'

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5 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer]
     Full Idea: As speakers of the language, we unreflectively assume that there are nonexistents, and that reference to them is possible.
     From: Marga Reimer (The Problem of Empty Names [2001], p.499), quoted by Sarah Sawyer - Empty Names 4
     A reaction: Sarah Swoyer quotes this as a good solution to the problem of empty names, and I like it. It introduces a two-tier picture of our understanding of the world, as 'unreflective' and 'reflective', but that seems good. We accept numbers 'unreflectively'.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
Some things are their own criterion, such as straightness, a set of scales, or light [Sext.Empiricus]
     Full Idea: Dogmatists say something can be its own criterion. The straight is the standard of itself, and a set of scales establishes the equality of other things and of itself, and light seems to reveal not just other things but also itself.
     From: Sextus Empiricus (Against the Mathematicians [c.180], 442)
     A reaction: Each of these may be a bit dubious, but deserves careful discussion.
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
How can sceptics show there is no criterion? Weak without, contradiction with [Sext.Empiricus]
     Full Idea: The dogmatists ask how the sceptic can show there is no criterion. If without a criterion, he is untrustworthy; with a criterion he is turned upside down. He says there is no criterion, but accepts a criterion to establish this.
     From: Sextus Empiricus (Against the Mathematicians [c.180], 440)
     A reaction: This is also the classic difficulty for foundationalist views of knowledge. Is the foundation justified, or not?
14. Science / B. Scientific Theories / 1. Scientific Theory
It seems obvious to prefer the simpler of two theories, on grounds of beauty and convenience [Quine]
     Full Idea: It is not to be wondered that theory makers seek simplicity. When two theories are equally defensible on other counts, certainly the simpler of the two is to be preferred on the score of both beauty and convenience.
     From: Willard Quine (On Simple Theories of a Complex World [1960], p.255)
     A reaction: A simple application of Ockham's Razor. Quine goes on to nicely deconstruct what is involved in simplicity, and identify a certain amount of dubious prejudice in the concept.
There are four suspicious reasons why we prefer simpler theories [Quine]
     Full Idea: We prefer simpler theories through wishful thinking, or a bias which slants the data, or a bias where the simpler hypothesis is more open to confirmation, or simpler hypotheses tolerating wider deviations in score-keeping.
     From: Willard Quine (On Simple Theories of a Complex World [1960], p.258)
     A reaction: [a compression of his summary of the paper] Quine is not dismissing our preference for simpler theories, but just very nicely inviting us to focus of aspects about which we should be cautious.