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hi everybody welcome to this tutorial on logic meets learning in infinite domains im washington at the university of edinburgh broadly what this tutorial is concerned with is the idea of the long long standing challenge and differences between the deduction regime and the induction scheme so essentially this is one of the fundamental issues in philosophy cognition artificial intelligence and deduction typically is concerned with you know questions about the expressiveness of formal languages how do you capture information about the world how do you reason with it using proof systems and whatnot and so typically we resort to the domain of mathematical logic for deduction whereas in induction were typically concerned with how to generalize from examples so we use probability theory and statistical machine learning relies on you know networks of random variables to basically attempt to do learning now historically these camps have somehow divided the field but as we know for the past 20
