Combining Texts

All the ideas for 'Remarks on the Foundations of Mathematics', 'The Laws of Thought' and 'works'

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8 ideas

1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
The claim of hermeneutics to give knowledge through understanding is challenged by positivism [Mautner on Dilthey]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
'It is true that this follows' means simply: this follows [Wittgenstein]
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Boole applied normal algebra to logic, aiming at an algebra of thought [Boole, by Devlin]
Boole's notation can represent syllogisms and propositional arguments, but not both at once [Boole, by Weiner]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Two and one making three has the necessity of logical inference [Wittgenstein]
14. Science / D. Explanation / 1. Explanation / d. Explaining people
Natural science seeks explanation; human sciences seek understanding [Dilthey, by Mautner]