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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Altairjones
Fort Morgan, US
★★★★★ 3
I’m a little disappointed.
Format: Kindle
I usually like Jillian West’s books but this one was missing a lot for me. The pregnancy didn’t come across as real. She’s on her feet for 12 hour days but is perfectly healthy at 8 months pregnant? Yet the week she moves in all of a sudden she’s not? She is planning on actually running during one of the plot buildups. But at 8 months pregnant that’s incredibly hard to do. The lack of breathing ability and lung space, the change in body center, mass, and gravity. All of it prohibits running, unless you’re an athlete this didn’t come off as at all realistic. I didn’t feel any connection with the alphas. There wasn’t any emotional connection. It could be because of the tense it was written in. But I didn’t get any deep feelings out of this. It came across as checking off boxes. Even the spicy scenes weren’t really believable for me. I wanted to see them fall for her, and it just kind of all fizzled. Even Bishop. One thing I did really like was the ending. I did not see it coming and I’m interested in reading book two because of it. But on the whole this book was mostly disappointing for me.
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Reviewed in the United States on March 16, 2024
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Melissa Williams
Battle Creek, US
★★★★★ 4
4.25 stars
Format: Kindle
Vale is an 8 month pregnant omega working as a waitress at a strip club and a cam girl. She starts to get very creepy vibes from a regular at the club, and her baby daddy ghosted her. She has had an online relationship with a man named Bishop through her cam girl status. One night, bishop was paying to watch her sleep and ansthe creepy regular Andrew break in and watch her sleep he tells vale to come to him at his business now. She flees and finds herself at a large security company with some.hot of alphas who are there to help her. This imegaverse is a little different than I have read, but I am thoroughly enjoying it. Vale is not a traditional omega she was raised by a single beta mom, and the alphas are not normal alphas they have never really loved pack life. But they are ruthless mercenaries. They need her, and she needs them. I love the aspect of the stalker and now the plot twists at the end, so so good. Sometimes, it seemed a little slow and stale mated, but since this a duet, I think It was just her starting to have Vale get to know her alpha suitors. Cliffhanger for sure with this one.
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Reviewed in the United States on September 9, 2024
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Austin & Cambria
Belleville, US
★★★★★ 5
That ending 😫
Format: Kindle
I fell into a false sense of security and really thought this was gearing towards a happy ending. Then I realized there’s no work they don’t punish Andrew. I really liked Vale’s character. I don’t normally read books with pregnancy but going into this knowing she was pregnant made it more enjoyable for me. I loved Bishops devotion to her and her happiness. I also loved that Holt and Mercy couldn’t fight their attraction to her. I love scent matches so very much. I’m so curious to see how this duet will end up. And I need to pay more attention and notice that a book I’m starting is a duet to begin with lol
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Reviewed in the United States on February 21, 2025
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Sarah A
Draper, US
★★★★★ 5
oh wow
Format: Kindle
I just knew there was something about Cooper! I’m wondering if he’s about to be included but damn I’m glad he’s at least not a rapist and creepy guy, he just got called on assignment and had to go! This should be interesting! She’s gonna run and then what’s his face is gonna grab her. I’m worried! Wow that was a great book and cliffhanger! Loving this!
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Reviewed in the United States on December 27, 2025
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SR
Carnegie, US
★★★★★ 5
Good start to a series
Format: Kindle
I delayed reading the series for reasons I don’t remember. But my TBR list is huge so I thought I’d take a shot of this and I was pleasantly surprised. I didn’t think the blurb about it was anything special. But it was a very good book. It took some interesting twists and turns. I am so glad the second book is already out. Because I would not have waited patiently. Very slow burn but good storyline. 🔥🔥/5
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Reviewed in the United States on January 3, 2025

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