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'works', 'Intro to Gdel's Theorems' and 'Prior Analytics'
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10 ideas
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
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4730
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For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady]
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18896
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Aristotle places terms at opposite ends, joined by a quantified copula [Aristotle, by Sommers]
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5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
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10076
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The 'range' of a function is the set of elements in the output set created by the function [Smith,P]
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10605
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Two functions are the same if they have the same extension [Smith,P]
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10075
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A 'partial function' maps only some elements to another set [Smith,P]
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10612
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An argument is a 'fixed point' for a function if it is mapped back to itself [Smith,P]
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10074
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A 'total function' maps every element to one element in another set [Smith,P]
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5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
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3300
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Aristotle's logic is based on the subject/predicate distinction, which leads him to substances and properties [Aristotle, by Benardete,JA]
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10615
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The Comprehension Schema says there is a property only had by things satisfying a condition [Smith,P]
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5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
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10595
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A 'theorem' of a theory is a sentence derived from the axioms using the proof system [Smith,P]
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