Combining Philosophers

Ideas for Hermarchus, Bertrand Russell and Stuart Hampshire

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7 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Subject-predicate logic (and substance-attribute metaphysics) arise from Aryan languages [Russell]
     Full Idea: It is doubtful whether the subject-predicate logic, with the substance-attribute metaphysic, would have been invented by people speaking a non-Aryan language.
     From: Bertrand Russell (Logical Atomism [1924], p.151)
     A reaction: This is not far off the Sapir-Whorf Hypothesis (e.g. Idea 3917), which Russell would never accept. I presume that Russell would see true logic as running deeper, and the 'Aryan' approach as just one possible way to describe it.
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic gives the method of research in philosophy [Russell]
     Full Idea: Logic gives the method of research in philosophy, just as mathematics gives the method in physics.
     From: Bertrand Russell (Our Knowledge of the External World [1914], 8)
     A reaction: I'm struck by how rarely philosophers actually prove anything. Mostly they just use the language of logic as a tool for disambiguation. Only a tiny handful of philosophers can actually create sustained and novel proofs.
It is logic, not metaphysics, that is fundamental to philosophy [Russell]
     Full Idea: I hold that logic is what is fundamental in philosophy, and that schools should be characterised rather by their logic than by their metaphysics.
     From: Bertrand Russell (Logical Atomism [1924], p.143)
     A reaction: Personally I disagree. Russell seems to have been most interested in the logical form underlying language, but that seems to be because he was interested in the ontological implications of what we say, which is metaphysics.
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
All the propositions of logic are completely general [Russell]
     Full Idea: It is part of the definition of logic that all its propositions are completely general.
     From: Bertrand Russell (Introduction to Mathematical Philosophy [1919], XV)
The physical world doesn't need logic, but the mental world does [Russell]
     Full Idea: The non-mental world can be completely described without the use of any logical word, …but when it comes to the mental world, there are facts which cannot be mentioned without the use of logical words.
     From: Bertrand Russell (An Inquiry into Meaning and Truth [1940], 5)
     A reaction: He adds that logical words are not needed for physics, but are needed for psychology. I love Russell's interest in the psychology of logic (in defiance of the anti-psychologism of Frege). See also the ideas of Robert Hanna.
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Theoretical and practical politics are both concerned with the best lives for individuals [Russell]
     Full Idea: Political ideals must be based upon ideals for the individual life. The aim of politics should be to make the lives of individuals as good as possible.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: Russell floats between socialism and anarchism, but this foundational remark is classic liberalism.
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
In modern times, logic has become mathematical, and mathematics has become logical [Russell]
     Full Idea: Logic has become more mathematical, and mathematics has become more logical. The consequence is that it has now become wholly impossible to draw a line between the two; in fact, the two are one.
     From: Bertrand Russell (Introduction to Mathematical Philosophy [1919], XVIII)
     A reaction: This appears to be true even if you reject logicism about mathematics. Logicism is sometimes rejected because it always ends up with a sneaky ontological commitment, but maybe mathematics shares exactly the same commitment.