SKU: 49235288227

Intro to Math Logic (Extend Ed)

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Intro to Math Logic (Extend Ed)This is a systematic and well paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self study by more ambitious students. Starting with the basics of set theory, induction and computability, it covers propositional and first order logic their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are

This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.

Starting with the basics of set theory, induction and computability, it covers propositional and first order logic -- their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts.

Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules -- of a high, though often neglected, pedagogical value -- aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers.

An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic.

This revised edition contains also, besides many new exercises, a new chapter on semantic paradoxes. An equivalence of logical and graphical representations allows us to see vicious circularity as the odd cycles in the graphical representation and can be used as a simple tool for diagnosing paradoxes in natural discourse.

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SKU: 49235288227

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Dolores Evans
Boise, US
★★★★★ 5
Epic!!!!
Format: Kindle
Absolutely addicted from the first page. The twists and turns, world building and character development all come together for the perfect Omegaverse. And let's not forget that spice because knots are life and these are spectacular. Running for book #2 because that cliffhanger was torturous.
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Reviewed in the United States on August 17, 2024
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Trouble In FL
Chelsea, US
★★★★★ 5
Fantastic writing and non-stop action
Format: Kindle
This is a promising, fantastic beginning to what will be a 4-book series. Some readers may be content to read only the first 2 books, but I think you'll find that the story is so good that you'll want to keep reading books 3 and 4. Book 1 is about omega Elvana's introduction to the "Starling" brothers and their search for another missing person, Kelly. It's a bit of a rocky start, with deception and betrayal a key element. Hardly an auspicious beginning. Each member has their own path and purpose in the pack. Their interactions and the resulting narrative are so well-written that I found it difficult to put down. There is a cliffhanger that will have you reaching for book 2 as you finish, so make sure you have it on hand.
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Reviewed in the United States on September 27, 2023
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rilakk
Belleville, US
★★★★★ 4
Fun read
Format: Kindle
I'm not really into mafia books but I love Roxy Collin's other series so I decided to give it a try. It had the same great romance, spice, swoon-worthy characters and exciting plot that are her signature. Arben was my favorite, although it was a bit sudden how quickly he changed from ignoring her to wanting to be pack. There were almost too many twists/layers of lies to keep track of but I'm looking forward to reading the other books. The only thing that detracted from the story for me was the need for a bit more proofreading. It was mentioned that Kelly is a female and male at different points, leading me to think she changed her mind at some point about the character's gender but didn't go back and edit it to align in all places. Like another reviewer pointed out, step siblings are different than half siblings. They are incorrectly referred to as step siblings because they (allegedly) share the same biological dad. There are a few other typos as well but those aren't a big deal.
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Reviewed in the United States on March 18, 2025
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Carmen Alicea
Bozeman, US
★★★★★ 5
Stepbrothers, Secrets, and Sizzling Heat
Format: Kindle
Twisted Lies by Roxy Collins is a wild ride through family secrets, amnesia, and a steamy stepbrother romance. When Kelly discovers her life is built on lies, she ends up tangled with three alpha stepbrothers and an assassin who once helped her through a heat. The tension? Off the charts! The heat is real, and the complications are messy in the best way. Full of twists, secrets, and fated mates? You'll be hooked from page one! Love omegaverse drama with a dash of taboo? This one's for you!
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Reviewed in the United States on September 10, 2024
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Ashley
West Palm Beach, US
★★★★★ 3
Good read
Format: Kindle
The book has some good twists and turns, but truthfully I was so confused on some things. It didn't have a good flow for me personally. Not sure if it's due to typos or using him/her wrongly, but I thought Kelly was both a guy and a girl. Actually I still don't know, and it made me incredibly frustrated. It would refer to Kelley as him or he, and then again in another part of the story as her she and sister. On to the next book, I hope there is some clarity and a smoother flow. This is a slow burn, and I just don't know how much I care for the Alphas yet. Idk if I recommend.
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Reviewed in the United States on February 8, 2023

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