Combining Philosophers

All the ideas for William S. Jevons, Bill Brewer and Manjit Kumar

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3 ideas

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
I hold that algebra and number are developments of logic [Jevons]
     Full Idea: I hold that algebra is a highly developed logic, and number but logical discrimination.
     From: William S. Jevons (The Principles of Science [1879], p.156), quoted by Gottlob Frege - Grundlagen der Arithmetik (Foundations) §15
     A reaction: Thus Frege shows that logicism was an idea that was in the air before he started writing. Riemann's geometry and Boole's logic presumably had some influence here.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations
Sense experiences must have conceptual content, since they are possible reasons for judgements [Brewer,B]
     Full Idea: Given that sense experiential states do provide reasons for empirical beliefs, they must have conceptual content, ...where a mental state with conceptual content is one where the content is of a possible judgement by the subject.
     From: Bill Brewer (Perceptual experience has conceptual content [2005], I)
     A reaction: This is, I believe, wrong. Even complex observations, like a pool of blood, only become reasons when they have been interpreted. Otherwise they are just the raw ingredients of evidence. How could an uninterpreted red patch be a 'reason'?
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Bohr explained the periodic table and chemical properties of elements, using the quantum atom [Kumar]
     Full Idea: Bohr used the quantum atom to explain the periodic table and the chemical properties of the elements. ...It was his new theory about the arrangement of electrons inside atoms that explained the placing and grouping of elements in the periodic table.
     From: Manjit Kumar (Quantum: Einstein and Bohr [2008], Ch 04)
     A reaction: (second sentence p.133) This is Exhibit A for the idea that essences are explanatory, and are discovered by scientists. The moot point would be whether it is appropriate to describe electron shells as part of the 'essence' of an atom.