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| | bartoszmilewski.com
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| | This is part 9 of Categories for Programmers. Previously: Functoriality. See the Table of Contents. So far I've been glossing over the meaning of function types. A function type is different from other types. Take Integer, for instance: It's just a set of integers. Bool is a two element set. But a function type a->b...
| | imotiv8.uk
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| | Montague Semantics Montague Semantics Montague semantics is a theory of natural language semantics and of its relation with syntax. It was originally developed by the logician Richard Montague (1930-1971) and subsequently modified and extended by linguists, philosophers, and logicians. The most important features of the theory are its use of model theoretic semantics which is [...]
| | jiggerwit.wordpress.com
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| | What follows are the opening paragraphs of a pdf document giving an argument for controlled natural languages in mathematics. At the recent Big Proof 2 conference in Edinburgh, I realized that a case must be made for developing a controlled natural language for mathematics. There is little consensus on this issue, and mathematicians and computer...
| | www.jeremykun.com
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| When addressing the question of what it means for an algorithm to learn, one can imagine many different models, and there are quite a few. This invariably raises the question of which models are "the same" and which are "different," along with a precise description of how we're comparing models. We've seen one learning model so far, called Probably Approximately Correct (PAC), which espouses the following answer to the learning question: