Combining Philosophers

All the ideas for Douglas Lackey, Godfrey Vesey and Manjit Kumar

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4 ideas

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
21554 Sets always exceed terms, so all the sets must exceed all the sets [Lackey]
     Full Idea: Cantor proved that the number of sets in a collection of terms is larger than the number of terms. Hence Cantor's Paradox says the number of sets in the collection of all sets must be larger than the number of sets in the collection of all sets.
     From: Douglas Lackey (Intros to Russell's 'Essays in Analysis' [1973], p.127)
     A reaction: The sets must count as terms in the next iteration, but that is a normal application of the Power Set axiom.
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
21553 It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]
     Full Idea: The ordinal series is well-ordered and thus has an ordinal number, and a series of ordinals to a given ordinal exceeds that ordinal by 1. So the series of all ordinals has an ordinal number that exceeds its own ordinal number by 1.
     From: Douglas Lackey (Intros to Russell's 'Essays in Analysis' [1973], p.127)
     A reaction: Formulated by Burali-Forti in 1897.
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
6457 Sensations are mental, but sense-data could be mind-independent [Vesey]
     Full Idea: Whereas a sensation is by definition mental, a sense-datum might be mind-independent.
     From: Godfrey Vesey (Collins Dictionary of Philosophy [1990], p.266)
     A reaction: This seems to be what Russell is getting at in 1912, as he clearly separates sense-data from sensations. Discussions of sense-data always assume they are mental, which may make them redundant - but so might making them physical.
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
15710 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.