Combining Texts
Ideas for
'Metaphysics', 'English as a Formal Language' and 'Mathematics is Megethology'
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9 ideas
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
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562
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Axioms are the underlying principles of everything, and who but the philosopher can assess their truth? [Aristotle]
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573
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The axioms of mathematics are part of philosophy [Aristotle]
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4. Formal Logic / F. Set Theory ST / 1. Set Theory
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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
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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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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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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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4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
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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 / G. Formal Mereology / 1. Mereology
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10806
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Megethology is the result of adding plural quantification to mereology [Lewis]
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