By Derrick Niederman
Calling all puzzlers...
From arithmetic to notice puzzles, from good judgment to lateral pondering, veteran puzzle maker Derrick Niederman delights in tackling the trickiest brainteasers in a brand new method. one of the outdated chestnuts he cracks broad open are the subsequent classics:
Knights and knaves
The monk and the mountain
The dominoes and the chessboard
The unforeseen striking
The Tower of Hanoi
Using real-world analogies, infectious humor, and a clean method, this deceptively basic quantity will problem, amuse, enlighten, and shock even the main skilled puzzle solver.
Read Online or Download The Puzzler's Dilemma: From the Lighthouse of Alexandria to Monty Hall, a Fresh Look at Classic Conundrums of Logic, Mathematics, and Life PDF
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Extra resources for The Puzzler's Dilemma: From the Lighthouse of Alexandria to Monty Hall, a Fresh Look at Classic Conundrums of Logic, Mathematics, and Life
Pure Categorial Grammar is a parsing system that checks the sentences of well behaved formal languages for grammaticality and incorporates a model-theoretic formal semantics. Unfortunately, natural languages are not so well behaved, owing to the many ways in which natural language meaning and utterance interpretation depend on nonlinguistic knowledge. In recent years, this family of grammatical parsing theories seems to have been relatively stagnant. The parsing tradition is now largely owned by the computational linguists, who have a better eye for the quirks of natural language but tend to take only a limited interest in questions of theoretical foundation, preferring to focus instead on statistical methods.
See Seuren (1998: 125–7, 169–77) for a detailed discussion. 6 Including anaphoric identiﬁcation across subdomains, such as the fact that one may believe there to be a burglar in the attic and hope that he—the real or imagined burglar believed to be in the attic—is not armed. 5 in Volume II for further comment. 22 Language in Cognition The recognition of the importance of discourse in sentence meaning and utterance interpretation is, of course, an important step towards an adequate recognition of the role of cognition in language.
2) a. He doesn’t like planes and trains. b. He doesn’t like planes or he doesn’t like trains. 2b) are: both look like instances of De Morgan’s laws. 2b) requires careful reﬂection. I am not aware of any psychological experiment to test this diﬀerence, but I am conﬁdent that any such experiment will bear out the intuition. The point is that the Gricean maxims, which are all about social propriety and communicative functionality, have no bearing at all on these examples, whereas they should have if they are to explain the discrepancies between standard logic and natural intuitions.