Combining Texts

Ideas for 'Are there propositions?', 'Reality is Not What it Seems' and 'On the Algebra of Logic'

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2 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic studies consequence, compatibility, contradiction, corroboration, necessitation, grounding.... [Ryle]
     Full Idea: Logic studies the way in which one thing follows from another, in which one thing is compatible with another, contradicts, corroborates or necessitates another, is a special case of another or the nerve of another. And so on.
     From: Gilbert Ryle (Are there propositions? [1930], IV)
     A reaction: I presume that 'and so on' would include how one thing proves another. This is quite a nice list, which makes me think a little more widely about the nature of logic (rather than just about inference). Incompatibility isn't a process.
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
Zeno assumes collecting an infinity of things makes an infinite thing [Rovelli]
     Full Idea: One possible answer is that Zeno is wrong because it is not true that by accumulating an infinite number of things one ends up with an infinite thing.
     From: Carlo Rovelli (Reality is Not What it Seems [2014], 01)
     A reaction: I do love it when deep and complex ideas are expressed with perfect simplicity. As long as the simple version is correct.