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304 pages

Foundations Without Foundationalism, A Case for Second-Order Logic

Creator: Stewart Shapiro | Mathematics - 2000-05-18

Foundations without Foundationalism is a key contribution both to philosophy of mathematics and to mathematical logic. 'In this excellent treatise Shapiro defends the use of second-order languages and logic as framework for mathematics.

Publisher: Oxford University Press, USA

About this book
Stewart Shapiro presents a distinctive and persuasive view of the foundations of mathematics, arguing controversially that second-order logic has a central role to play in laying these foundations. To support this contention, he first gives a detailed development of second-order andhigher-order logic, in a way that will be accessible to graduate students. He then demonstrates that second-order notions are prevalent in mathematics as practised, and that higher-order logic is needed to codify many contemporary mathematical concepts. Throughout, he emphasizes philosophical andhistorical issues that the subject raises. Foundations without Foundationalism is a key contribution both to philosophy of mathematics and to mathematical logic. 'In this excellent treatise Shapiro defends the use of second-order languages and logic as framework for mathematics. His coverage of the wide range of logical and philosophical topics required for understanding the controversy over second-order logic is thorough, clear, and persuasive. . . .Shapiro recognizes that it is unlikely that he has had the last word on these controversial philosophical subjects. Nevertheless, his book is certainly an excellent place to start work on them.' Michael D. Resnik, History and Philosophy of Logic



626 pages

Computer Science Logic, 20th International Workshop, CSL 2006, 15th Annual Conference of the EACSL, Szeged, Hungary, September 25-29, 2006 : Proceedings

Creator: European Association for Computer Science Logic. Conference | 2006-11-13

The stable of the operators Da and Dt define the semantics of extensions (in )f default logic, proposed originally by Reiter, in the case of autoepis- ic the concept was not identified until algebraic considerations in [15] t).

Publisher: Springer Verlag

About this book
This book constitutes the refereed proceedings of the 20th International Workshop on Computer Science Logic, CSL 2006, held as the 15th Annual Conference of the EACSL in Szeged, Hungary in September 2006. The 37 revised full papers presented together with 4 invited contributions were carefully reviewed and selected from 132 submissions. All current aspects of logic in computer science are addressed, including automated deduction and interactive theorem proving, constructive mathematics and type theory, equational logic and term rewriting, automata and formal logics, modal and temporal logic, model checking, logical aspects of computational complexity, finite model theory, computational proof theory, logic programming and constraints, lambda calculus and combinatory logic, categorical logic and topological semantics, domain theory, database theory, specification, extraction and transformation of programs, logical foundations of programming paradigms, verification of security protocols, linear logic, higher-order logic, nonmonotonic reasoning, as well as logics and type systems for biology.



310 pages

Handbook of Philosophical Logic

Creator: Dov M. Gabbay | 2010-12-29

To understand what (K°3)-(K°5) say, two cases need to be considered: Case 1: KL) (p) is consistent. ... The particular way of writing the postulates given above makes use of technical properties of classical logic (the way inconsistent ...

Publisher: Springer-Verlag New York Incorporated

About this book
This book is indispensable to any advanced student or researcher using logic in these areas. The chapters are comprehensive and written by major figures in the field. Topics include, Belief Revision, Refutation Systems in Propositional Logic, Quantifier Scope in Formal Linguistics and Non-deterministic Semantics for Logical Systems.


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Case Logic - Camera Bags | Tablet Cases | Laptop Cases ...
At Case Logic we started out providing the best CD Cases & DVD Cases around. With so many electronics today we now offer protection for all devices including laptops ...

Cases for electronics | Case Logic
Protect your portable electronics with a wide range of cases from Case Logic. We have storage solutions for iPods, iPhones, hard drives, USBs, GPS, and MP3 players.

CD Wallets | CD Albums | CD Travel Cases - Case Logic
Protect your CD collection with a huge selection of CD Wallets and CD Albums from Case Logic. These albums also make for perfect CD travel cases.

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CD Cases & DVD Cases | CD Storage & DVD Storage Cases ...
For over 25 years, Case Logic has been the trusted name in CD & DVD storage by offering quality DVD & CD cases. Shop the official site for DVD & CD storage solutions.


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Editor's picks

  • Case Logic

    Case Logic QHDC-101 Portable EVA Hard Drive Case - Black

    CE (Case Logic)

    Rating (0 reviews):
    (4.4/5)
    Case Logic

    Sturdy, Reinforced Top, Nice Strap Inside

    Customer Video Review Length:: 6:05 MinsOverall, this is a quality case. Whether it fits your device well is entirely up to whether your device dimensions fit the dimensions of the case well. There is no foam padding inside, but it has a nice one inch wide elastic strap that runs the length that holds the device fairly well. But without foam, it will not have much shock resistance if you want to throw it around. But you do gain a slim case without a lot of foam padding. The shell is quite firm, not foam, and seems to protect very well. The top is reinforced and is stronger than the bottom half, so I would orient any LCD screens face up. Like any case, the weak point is if compressed in the center you can flex in if you squeeze it. But it seems significantly stronger than foam or some cheaper alternatives. It would have been nice if the bottom was reinforced as much as the top, but the bottom is still quite firm, just not as resistant to compression. I just wouldn't this at the bottom of... 5/5 Tiger (San Jose, CA) - See all my reviews, November 5, 2010

    Recommended for Seagate 1TB Portable - won't fit

    0 1/5 Douglas Hughes (Crossville, TN) - See all my reviews Verified Purchase(What's this?) This review is from: Case Logic QHDC-101 Portable EVA Hard Drive Case - Black (Personal Computers) This case was recommended by Amazon to fit the Seagate 1TB portable. Got the case and it really doesn't fit. You can almost force it in but it doesn't fit. I have 2 WD passport essentials and the cases all give plenty of room and work well.I would NOT buy this to use a Seagate 1TB portable with it will not fit 0 Help other customers find the most helpful reviews  Was this review helpful to you? , October 23, 2012

    Great case but beware of SIZE!!!

    0 4/5 CC (Montana) - See all my reviews Verified Purchase(What's this?) This review is from: Case Logic Portable EVA Hard Drive Case QHDC-101 - Red (Personal Computers) I purchased this case along with a 1TB Seagate Portable Hard Drive. I looked at the dimensions of the hard drive (4.8 x 3.2 x 0.6) and compared to the dimensions of the case (5.3 x 3.5 x 1.5) and felt very comfortable that it would be adequately sized to house the hard drive. I was wrong!While the case is a perfect fit for the length & depth of the hard drive (the 5.3 and 1.5 sides) it falls over 0.5 short on the width. The dimensions given were obviously exterior and not the "usable" space. So beware.Other than that the case is great with a very handy net compartment on one side and has a very hard & sturdy construction. I'm going to keep it and use for my memory media cards.UPDATE: I just went online to buy a new case for the hard drive....and saw exactly why I bought this case....it was the "also sold with this product" noted on the amazon page. Urggg. Even more frustrating that it was grouped with a hard drive that it doesn't even fit. 0 Help other customers find the most helpful reviews  Was this review helpful to you? , July 18, 2012
    List Price: $28.18
    Price: $3.52
    You Save: $24.66 (88%)
    EVA Molded, Durable, semi-rigid exterior to protect valuable data
    Slimline design allows case to easily fit into any backpack or briefcase
    Compact case to store or transport smaller portable hard drives
    Interior strap and zippered closure secures portable hard drive in place
    Internal mesh pocket conveniently stores power cords


  • Case Logic

    Case Logic LAPS-113 13.3-Inch Laptop / MacBook Air / MacBook Pro Retina Display Sleeve (Black)

    Personal Computer (Case Logic)
    List Price: $29.99

    Slim-line design allows this case to be carried solo or fit in your favorite bag
    Product Dimensions (l x w x h): 14 x 1.1 x 10 in
    Form-fitting sleeve ensures a precise fit for your laptop with a 13.3-Inch PC/MacBook display
    Quick top-loading access through envelope-style design
    A seamless wrap of Impact Foam padding provides top to bottom protection
    Fits Devices (l x w x h): 13 x 1.1 x 9.1 in
    Woven webbing along each side adds subtle texture to the otherwise clean design


  • Case Logic

    Case Logic PHDC-1 Compact Portable Hard Drive Case (Black)

    Personal Computer (Case Logic)

    Rating (0 reviews):
    (4.4/5)
    Case Logic

    Versatile and good quality

    I got this case in the blue color with a contrasting bright yellow interior. The material is all-around high-quality, and the case offers excellent protection for my external hard drive(s).Since this is a universal drive case it cannot be a perfect fit for every portable hard drive out there. I own several different-size drives and here is how they fit:- First generation WD Passport (silver colored, blueish rubberized bottom, ) fits perfectly. I suspect that this case was originally made for these drives.- Newer WD Passport (various colors, non-rubberized bottom, ... 4/5 I.Peters (Dallas, TX USA) - See all my reviews, April 16, 2008

    Good quality case, but a little too big for the Western Digital Passport drives

    0 4/5 B. Chiu "Spud" - See all my reviews, February 15, 2007

    Totally worth it!

    0 5/5 Claire Jordan "Filmmaker - "The Baroness ... (New Orleans, LA) - See all my reviews, May 7, 2010
    List Price: $69.99
    External Dimensions -5.5" x 3.75" x 1.25"
    Compact case to store or transport smaller portable hard drives
    Slimline design allows case to easily fit into any backpack or briefcase


  • Case Logic

    Case Logic CD/DVDW-320 336 Capacity Classic CD/DVD Wallet (Black)

    CE (Case Logic)
    List Price: $49.99

    Padded black nylon exterior
    Fast-file pockets provide quick access to 16 discs
    Capacity of 320 disks or 160 disk/booklet combos
    25 year warranty


  • Case Logic

    Case Logic KSW-320 Koskin 336 Capacity CD/DVD Prosleeves Wallet (Black)

    CE (Case Logic)

    Rating (654 reviews):
    (4.3/5)
    Case Logic

    "Improved"? The new version is garbage!

    It's true, CL has "improved" this product. In the process they ruined it. For one thing, they removed several features, for instance the new version does not have the removable fast file and lacks the slot for a label on the handle. Also, it is about 30% lighter, and obviously "cheaper" in many respects, e.g the sides are now lightweight nylon. I would be surprised if one of these new models holds up for even 30% as long as the old one. And it's UGLY: brown stitching on black faux leather looks awful!There is one actual improvement in the new one - it was easier to open flat on a table. And one possible improvement - the attachment of the handle is apparently different, but you can't really tell if it's any better because it is hidden on the new one.You can't blame Amazon - the new and the old one have the same UPC code (8585405012). But they are different part numbers: old = #60 2233002, new = #63-2400017-A.I am disgusted with Case Logic for... 1/5 Tom S. (Southern California) - See all my reviews Verified Purchase(What's this?) This review is from: Case Logic KSW-320 Koskin 336 Capacity CD/DVD Prosleeves Wallet (Black) (Electronics) It's true, CL has "improved" this product. In the process they ruined it. For one thing, they removed several features, for instance the new version does not have the removable fast file and lacks the slot for a label on the handle. Also, it is about 30% lighter, and obviously "cheaper" in many respects, e.g the sides are now lightweight nylon. I would be surprised if one of these new models holds up for even 30% as long as the old one. And it's UGLY: brown stitching on black faux leather looks awful!There is one actual improvement in the new one - it was easier to open flat on a table. And one possible improvement - the attachment of the handle is apparently different, but you can't really tell if it's any better because it is hidden on the new one.You can't blame Amazon - the new and the old one have the same UPC code (8585405012). But they are different part numbers: old = #60 2233002, new = #63-2400017-A.I am disgusted with Case Logic for... Read more Help other customers find the most helpful reviews  Was this review helpful to you? , June 30, 2006

    Someone from Case Logic PLEASE read my review along with the 2 before me

    I will admit that hands down case logic is THE BEST cd wallets you can buy. They are (usually) constructed with great quality and you actually feel that you get your money's worth. Even the protection it provides for the cd's that you put it in it is outstanding. I'm a scratch freak and I've noticed that Case Logic wallets do not put any scratches what-so-ever on your cd's or dvd's. Not even those little really light ones that you only see in bright light. Nothing bad to say about them at all, it was pretty much everything a CD wallet should be, at it's finest. BUT!, new this year is the redesigned version of these wallets and they are TERRIBLE! The previous models were superior to any other cd wallet out there. Now they have BROWN STITCHING put against black koskin leather. The handle looks completely cheap and it comes from inside the wallet. Letting you know that there is no telling what is holding it in place. The mesh screen IN the handle is gone, so no more labels can... 1/5 Jeremy Clark (Carterville, IL USA) - See all my reviews, July 26, 2006

    Item is slightly different than picture

    0 5/5 gabe (university of california, berkeley, ca, usa) - See all my reviews This review is from: Case Logic KSW-320 Koskin 336 Capacity CD/DVD Prosleeves Wallet (Black) (Electronics) I just received this case in the mail today. This is the second one I have bought off of amazon (this exact item), but this one was not exactly the case described and pictured above. It had a cardboard sleeve/carton wrapped around it that also described and pictured this item as it appears above. The cardboard wrapper didn't match the item in it.I like the new design better though. It looks nicer, the Koskin material is slightly brown, but just barely (it looks black until you inspect it closely). The Handle is more secure, actually attached inside the material.THE ONLY BAD DIFFERENCE IS THAT THE 16 SLOTS IN THE FRONT OF THE CASE AREN'T REMOVABLE, LIKE THEY ARE SUPPOSED TO BE. I own the other case (the one described and picture above), and the removable 16 CD folder is pretty handy.Otherwise, I'm happy with the changes and will not return it. In fact, I'm ordering another one!! BUT, AMAZON SHOULD CHANGE THEIR DESCRIPTION. 0 Help other customers find the most helpful reviews  Was this review helpful to you? , February 14, 2006
    List Price: $54.99
    Holds 320 CDs or 160 with liner notes
    Fast File holds an additional 16 CDs, use it to keep your favorite CDs easy to access
    Padded koskin exterior protects your CDs.


  • Case Logic

    Case Logic DLBP-114 14-Inch Laptop /MacBook Air / Pro Retina Display Backpack (Black)

    Personal Computer (Case Logic)

    Rating (487 reviews):
    (4.5/5)
    Case Logic

    The biggest mini backpack--Not too small, Not too big

    This is the size I've been looking for. I was in search of a bag that would fit a 13" MacBook Pro, as well as a 13" Dell Latitude. I'm not a big person and I hate big heavy bags. My previous bag was HUGE and was designed for a 15" laptop of yesteryear. The laptop slot barely held my widescreen 13" and yet the bag was enormous. I bought the old bag from LL Bean in 1998, and it held up wonderfully--but it was made for a time when a 15" laptop was bulky and we carried lots of books and folders with us.Best uses:Professional with a 13"-14" laptop (or 15" Macbook) looking for a minimal but still useful backpackPros:Small profile yet IMPRESSIVE capacity for what it is.LightweightHolds TWO laptops and both power supplies (one in the padded compartment and one using a thin sleeve in the spot designed for a binder/book)Laptop section appears to accommodate nearly all 14" laptops easily and possibly a 15" MacBook (probably not most other 15"... 4/5 Shockster (Lexington, KY United States) - See all my reviews Verified Purchase(What's this?) This review is from: Case Logic DLBP-114 14-Inch Laptop /MacBook Air / Pro Retina Display Backpack (Black) (Personal Computers) This is the size I've been looking for. I was in search of a bag that would fit a 13" MacBook Pro, as well as a 13" Dell Latitude. I'm not a big person and I hate big heavy bags. My previous bag was HUGE and was designed for a 15" laptop of yesteryear. The laptop slot barely held my widescreen 13" and yet the bag was enormous. I bought the old bag from LL Bean in 1998, and it held up wonderfully--but it was made for a time when a 15" laptop was bulky and we carried lots of books and folders with us.Best uses:Professional with a 13"-14" laptop (or 15" Macbook) looking for a minimal but still useful backpackPros:Small profile yet IMPRESSIVE capacity for what it is.LightweightHolds TWO laptops and both power supplies (one in the padded compartment and one using a thin sleeve in the spot designed for a binder/book)Laptop section appears to accommodate nearly all 14" laptops easily and possibly a 15" MacBook (probably not most other 15"... Read more Help other customers find the most helpful reviews  Was this review helpful to you? , April 7, 2011

    Nice and small but

    0 3/5 Max L. (Colorado) - See all my reviews Verified Purchase(What's this?) This review is from: Case Logic DLBP-114 14-Inch Laptop /MacBook Air / Pro Retina Display Backpack (Black) (Personal Computers) This is a good choice for a small backpack. If you need to carry much more than the laptop, charger and some small accessories you may find this doesn't have the space to meet you needs. Quality is what I expect for Case Logic, very good for the price. No issues with zippers or seams, even after heavy use. Another nice feature is the textured mesh on the underside of the shoulder strap that helps keep it from slipping off your shoulder.The one and only downside is the lack of padding on the bottom of the pack. Leaving an unprotected edge for the laptop, which I discovered when the pack slipped out of my hand and landed with a thump, resulting in a dent on the corner of my laptop. 0 Help other customers find the most helpful reviews  Was this review helpful to you? , March 31, 2012

    Great Value for Urban Commuters Carrying the Essentials

    That's right, Case Logic now makes laptop backpacks. They make the CD cases you're using in your car, your portable hard drive case and your thumb drive case. And now, you can throw all of those items, including your laptop (not made by Case Logic) into a new Case Logic 14-inch laptop backpack.PROS:- Slim design- Comfortable shoulder straps- Well padded laptop compartment- Velcro strap wrap- Soft, felt-like pocket for smartphones or other valuables- Spacious and well-padded front pocket organizer- Useful side pockets- Attractive appearance- Good build qualityCONS:- Side pockets too small for water bottlesDESIGN & CONSTRUCTIONThe Case Logic 14-inch Laptop Backpack (DLBP-114) is very attractive and is slim in design. Parts of the polyester material are matte, glossy, and quilted with accent colors on the straps and zipper. The appearance is what drew me to this backpack in the first... 4/5 Ed (San Francisco Bay Area) - See all my reviews, March 3, 2011
    List Price: $49.99
    Price: $25.20
    You Save: $24.79 (50%)
    Zippered safety pocket for passports
    PVC free
    Integrated laptop compartment holds laptops with screens up to 14.1"
    Dedicated laptop compartment holds 14-Inch Laptops, 13-Inch MacBooks and 15-Inch MacBooks.
    Front pocket with organization panel cell phones and power cords
    Quilted padding on front of the pack and Air Mesh on the shoulder straps
    Felt-like, scratch resistant pocket ideal for sunglasses
    Strap management system
    Side zippered pockets for quick access to smaller cords or keys


  • Case Logic

    Case Logic DLC-115 15.6-Inch Laptop and Tablet Briefcase (Black)

    CE (Case Logic)

    Rating (582 reviews):
    (4.5/5)
    Case Logic

    Good lightweight briefcase to hold both a 15-inch laptop and my iPad 2, but may be too slim if your AC adapter brick is thick.

    இ Fuzzy Wuzzy's Summary:ѾѾѾѾ Recommended with warm fuzzies (but the slim interior space is better suited either for a laptop with a compact slim AC adapter, or an 11-inch or 13-inch ultrabook or MacBook Air).The first thing that I noticed about this laptop briefcase was how light and slim it was. This briefcase only weighs 21 ounces (1 pound 5 ounces), including the shoulder strap, which is lighter than many laptop bags. The exterior feels like soft neoprene while all interiors are lined with nylon. The main laptop compartment has dimensions of 15.25 inches wide and 11.25 inches deep, and can accomodate a laptop of 15.2"x10.5"x1.7". Inside the main laptop compartment is an 8.0-inch wide sleeve that perfectly fits my iPad 2. My iPad 2 is covered with the excellent ... 4/5 ƒůŽźŸ ωŬ&#... - See all my reviews, January 8, 2012

    Zipper Broke

    0 2/5 tampaloser - See all my reviews Verified Purchase(What's this?) This review is from: Case Logic DLC-115 15.6-Inch Laptop and Tablet Briefcase (Black) (Personal Computers) Upon receiving the bag I was pleased by the appearance and slimness, but as I slipped my laptop in and went to zip it up the zipper would not mesh together and left the bag hanging open on either side of the zipper. As I slid it back and fourth to try and get it to catch the ZIPPER BROKE.Initially I planned to get a replacement sent but as I read reviews citing the bag's slim profile impeding storage I experimented with it and found that the slim bag bulges awkwardly when storing blocky objects like AC adapters and mice, in the end I got a refundSummary of my experience-broken zipper-no space for ac adapter-chose refund 0 Help other customers find the most helpful reviews  Was this review helpful to you? , June 29, 2012

    Perfect step up from a laptop sleeve

    0 5/5 Patrick J. Sweeney - See all my reviews, July 17, 2012
    List Price: $44.99
    Organization panel inside the front pocket stores your cell phone, iPod and business essentials while also allowing plenty of space for power cords
    Pass through along the back panel easily slips over the handle of rolling luggage
    Neoprene-padded carry handles and a removable no-slip shoulder strap provide comfortable carrying options
    Elevated, nylex-lined, padded pocket protects up to a 10.1 inch tablet
    Zippered back panel pocket with integrated smartphone slip pocket provides discrete storage for items you want to keep close at your side
    Dedicated laptop compartment sized to fit laptops with up to a 15.6 inch display


  • Case Logic

    Case Logic AUA-311 11.6-Inch Laptop and iPad Slim Case (Black)

    Personal Computer (Case Logic)
    List Price: $34.99

    Organizer panel in front pocket with dedicated storage for external hard drive, pens and other accessories
    Front pocket stores bulky power cords neatly in the bottom and out of the way
    Zippered front pocket keeps your smartphone secure yet easily accessible
    Comfortable, removable shoulder strap and padded handle for easy portability
    Fits Devices (l x w x h): 11.8 x 0.9 x 8.3 in
    Luggage strap securely attaches slim case to most rolling luggage


  • Case Logic

    Case Logic CDE-48 48 Capacity Heavy Duty CD Wallet, Black

    CE (Case Logic)
    List Price: $12.99
    Price: $8.39
    You Save: $4.60 (35%)

    Durable molded outer case protects 48 CDs or 24 with liner notes
    Patented polypropylene Prosleeves keep dirt away to prevent scratching of delicate CD surface


  • Case Logic

    Case Logic rugged slim fabric case for iphone 6 plus 5.5" (GOLD/BROWN)

    Wireless (Case Logic)

    Rugged slim fabric case for iphone 6 plus
    Made of the highest quality material available
    1year warranty
    Protects your phone while still in style
    choose from 1 of 4 different colors


Camera and Photo Accessories


Gift Ideas

Pretzel Logic iPhone 4 Savvy Case iPhone 4/4S Cover

purple, fuchsia, green, geometric, pink, pattern,
Savvy iPhone 4 hardshell case design from "Pretzel Logic," an Apophysis fractal by Susan Wallace. Copyright © 2008, Susan Wallace. An array of tri-lobed shapes in shades of purple, fuchsia and green repeat endlessly in this lively abstract design.
Price: $$37.95

Pretzel Logic iPad Air Case

purple, fuchsia, green, geometric, pink, pattern,
iPad Air case design from "Pretzel Logic," an Apophysis fractal by Susan Wallace. Copyright © 2008, Susan Wallace. An array of tri-lobed shapes in shades of purple, fuchsia and green repeat endlessly in this lively abstract design.
Price: $$73.95

Bacon Logic with Bacon iPhone 5 Case

bacon, humor, logic
Who doesn't love bacon and rationalizations?
Price: $$47.95

Bacon Logic with Bacon iPhone 6 Case

bacon, humor, logic
Who doesn't love bacon and rationalizations?
Price: $$47.95

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