Combining Texts
Ideas for
'Structures and Structuralism in Phil of Maths', 'Experimental Researches in Electricity' and 'Mathematics is Megethology'
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8 ideas
4. Formal Logic / F. Set Theory ST / 1. Set Theory
10807
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Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis]
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4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
10809
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We can accept the null set, but not a null class, a class lacking members [Lewis]
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10812
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The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
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10811
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The null set plays the role of last resort, for class abstracts and for existence [Lewis]
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4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
10813
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What on earth is the relationship between a singleton and an element? [Lewis]
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10814
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Are all singletons exact intrinsic duplicates? [Lewis]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
10166
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ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
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4. Formal Logic / G. Formal Mereology / 1. Mereology
10806
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Megethology is the result of adding plural quantification to mereology [Lewis]
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