Combining Philosophers

All the ideas for Douglas Lackey, Lynn Holt and Desiderius Erasmus

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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 / E. Direct Knowledge / 1. Common Sense

22668	Apprehension is a complex intellect grasping the essence of a complex object [Holt,L]
	Full Idea: The paradigm case of apprehension is of a complex intellect confronted with a complex object, in which the intellect understands in a particular context what is 'essential' about the object.
	From: Lynn Holt (Apprehension: reason in absence of Rules [2002], 3 'Expertise')
	A reaction: My line is that this apprehension cashes out as an immediate ability to explain the object. This is an enhanced version of the rational understanding of things found in most larger animals. Holt says her account is Aristotelian.

29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy

16714	The state should kill blasphemous heretics [Erasmus]
	Full Idea: It is necessary for the preservation of the state to kill heretics that are blasphemous and seditious.
	From: Desiderius Erasmus (works [1506]), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 20.2
	A reaction: He was much more tolerant of heretics who kept quiet.