Combining Texts

All the ideas for 'fragments/reports', 'Gentzen's Analysis of First-Order Proofs' and 'works'

unexpand these ideas     |    start again     |     specify just one area for these texts


6 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is based on transitions between sentences [Prawitz]
     Full Idea: I agree entirely with Dummett that the right way to answer the question 'what is logic?' is to consider transitions between sentences.
     From: Dag Prawitz (Gentzen's Analysis of First-Order Proofs [1974], §04)
     A reaction: I always protest at this point that reliance on sentences is speciesism against animals, who are thereby debarred from reasoning. See the wonderful Idea 1875 of Chrysippus. Hacking's basic suggestion seems right. Transition between thoughts.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Natural deduction introduction rules may represent 'definitions' of logical connectives [Prawitz]
     Full Idea: With Gentzen's natural deduction, we may say that the introductions represent, as it were, the 'definitions' of the logical constants. The introductions are not literally understood as 'definitions'.
     From: Dag Prawitz (Gentzen's Analysis of First-Order Proofs [1974], 2.2.2)
     A reaction: [Hacking, in 'What is Logic? §9' says Gentzen had the idea that his rules actually define the constants; not sure if Prawitz and Hacking are disagreeing]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz]
     Full Idea: In Gentzen's natural deduction, the inferences are broken down into atomic steps in such a way that each step involves only one logical constant. The steps are the introduction or elimination of the logical constants.
     From: Dag Prawitz (Gentzen's Analysis of First-Order Proofs [1974], 1.1)
14. Science / D. Explanation / 1. Explanation / d. Explaining people
Nature requires causal explanations, but society requires clarification by reasons and motives [Weber, by Critchley]
     Full Idea: Weber coined the distinction between explanation and clarification, saying that natural phenomena require causal explanation, while social phenomena require clarification by giving reasons or offering possible motives for how things are.
     From: report of Max Weber (works [1905]) by Simon Critchley - Continental Philosophy - V. Short Intro Ch.7
     A reaction: This is music to the ears of property dualists and other non-reductivists, but if you go midway in the hierarchy of animals (a mouse, say) the distinction blurs. Weber probably hadn't digested Darwin, whose big impact came around 1905.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
We are disenchanted because we rely on science, which ignores values [Weber, by Boulter]
     Full Idea: Weber contends that modern western civilisation is 'disenchanted' because our society's method of arriving at beliefs about the world, that is, the sciences, is unable to address questions of value.
     From: report of Max Weber (works [1905]) by Stephen Boulter - Why Medieval Philosophy Matters 6
     A reaction: This idea, made explicit by Hume's empirical attitude to values, is obviously of major importance. For we Aristotelians values are a self-evident aspect of nature. Boulter says philosophy has added to the disenchantment. I agree.