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I feel like there's something I'm missing: it doesn't make any sense that this book would be published... Reading some of the preview material at Amazon, the c
by westoncb 8y ago
I feel like there's something I'm missing: it doesn't make any sense that this book would be published...
Reading some of the preview material at Amazon, the chapters often start with brutal depictions of violence against African American slaves. I get no sense of the purpose of these passages; they don't appear to be taking a stance in anyway, just quoting from old sources.
The only charitable interpretation I can think of is something along the lines I remember Asimov writing about: humankind always uses slaves; they stop when it's economically viable to use machines instead. And in a way automata theory is a very general theory of abstract machines which we use to substitute human labor in many ways... So maybe he's giving a visceral reminder of the importance of the subject matter at hand (automata theory)?
Additionally, the table of contents does look interesting. I've read Sipser, and I'd now be interested in this different angle on the subject (Sipser felt more isolated from other parts of mathematics; this starting out by connecting to semigroups for instance seems interesting)—but that said, it's just too bizarre:
Its 'Chapter 0,' titled "Mathematical Preliminaries," opens with a full-page passage of the sort I described above. To give the flavor, here are a few lines included in it:
"... Who are generally presented, being secur'd by Bastias or negro drivers, And instantly tied Up to the Beams of the Plaza, or a Tree, Without so much as being heard, When the flogging begins, men, women, or children, without exception, on theyr long naked bodies, by long hempin whips that cut round at every lash, and crack like a pistol, during which they alternately repeat Dankee Massera, /Thank You Master/, but while he stalks up and down with his overseer..."
—and on and on. wtf.
The next page is the standard sort of presentation of mathematical notation you'd expect.
- zshrdlu 8y agoDoes it really bother you that much? Aren't you amused, even slightly?
- mcphage 8y ago> Aren't you amused, even slightly? What about that do you find amusing?
- westoncb 8y agoI don't mean to give the wrong impression: I'm actually highly amused by it. But at the same time, as a heuristic for judging whether something I might read is worthwhile or not... well, the author gives me the impression of being slightly off his rocker, which makes me question whether I can trust the material.
- bbeonx 8y agoJust a heads up, there are two types of semigroups out there, and I think that automata theory uses the weird (i.e., non-algebraic) kind, so don't be too disappointed if this doesn't hook in with other standard maths. I have only seen this second usage of semigroups in automata theory, and only heard it used by an automata theorist. A quick Google search didn't turn up this other usage, so it seems to be very domain-specific lingo. On the other hand, you can look into algebraic automata theory (a subject I know nothing about) and play with monoids (the kleene closure of an alphabet with the concatenation operation is the free monoids over that alphabet).