Combining Texts
Ideas for
'Mahaprajnaparamitashastra', 'Which Logic is the Right Logic?' and 'Intro to Gdel's Theorems'
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8 ideas
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / b. Basic connectives
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10762
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In sentential logic there is a simple proof that all truth functions can be reduced to 'not' and 'and' [Tharp]
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5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
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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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10074
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A 'total function' maps every element to one element in 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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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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5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
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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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