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Formal Logic by Richard C. Jeffrey

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1A Formal Approach Based On Fuzzy Logic For The Specification Of Component-Based Interactive Systems

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Formal methods are widely recognized as a powerful engineering method for the specification, simulation, development, and verification of distributed interactive systems. However, most formal methods rely on a two-valued logic, and are therefore limited to the axioms of that logic: a specification is valid or invalid, component behavior is realizable or not, safety properties hold or are violated, systems are available or unavailable. Especially when the problem domain entails uncertainty, impreciseness, and vagueness, the appliance of such methods becomes a challenging task. In order to overcome the limitations resulting from the strict modus operandi of formal methods, the main objective of this work is to relax the boolean notion of formal specifications by using fuzzy logic. The present approach is based on Focus theory, a model-based and strictly formal method for componentbased interactive systems. The contribution of this work is twofold: i) we introduce a specification technique based on fuzzy logic which can be used on top of Focus to develop formal specifications in a qualitative fashion; ii) we partially extend Focus theory to a fuzzy one which allows the specification of fuzzy components and fuzzy interactions. While the former provides a methodology for approximating I/O behaviors under imprecision, the latter enables to capture a more quantitative view of specification properties such as realizability.

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2A Primer Of Formal Logic

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(8. print.) New York: Macmillan (1957). XI, 378 S

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3Cognitive Binary Logic - The Natural Unified Formal Theory Of Propositional Binary Logic

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This paper presents a formal theory which describes propositional binary logic as a semantically closed formal language, and allows for syntactically and semantically well-formed formulae, formal proofs (demonstrability in Hilbertian acception), deduction (Gentzen's view of demonstrability), CNF-ization, and deconstruction to be expressed and tested in the same (computational) formal language, using the same data structure. It is also shown here that Cognitive Binary Logic is a self-described theory in which the Liar Paradox is deconstructed.

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4Ancient Formal Logic

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This paper presents a formal theory which describes propositional binary logic as a semantically closed formal language, and allows for syntactically and semantically well-formed formulae, formal proofs (demonstrability in Hilbertian acception), deduction (Gentzen's view of demonstrability), CNF-ization, and deconstruction to be expressed and tested in the same (computational) formal language, using the same data structure. It is also shown here that Cognitive Binary Logic is a self-described theory in which the Liar Paradox is deconstructed.

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5Revisiting The Training Of Logic Models Of Protein Signaling Networks With A Formal Approach Based On Answer Set Programming

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A fundamental question in systems biology is the construction and training to data of mathematical models. Logic formalisms have become very popular to model signaling networks because their simplicity allows us to model large systems encompassing hundreds of proteins. An approach to train (Boolean) logic models to high-throughput phospho-proteomics data was recently introduced and solved using optimization heuristics based on stochastic methods. Here we demonstrate how this problem can be solved using Answer Set Programming (ASP), a declarative problem solving paradigm, in which a problem is encoded as a logical program such that its answer sets represent solutions to the problem. ASP has significant improvements over heuristic methods in terms of efficiency and scalability, it guarantees global optimality of solutions as well as provides a complete set of solutions. We illustrate the application of ASP with in silico cases based on realistic networks and data.

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6Modern Formal Logic

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A fundamental question in systems biology is the construction and training to data of mathematical models. Logic formalisms have become very popular to model signaling networks because their simplicity allows us to model large systems encompassing hundreds of proteins. An approach to train (Boolean) logic models to high-throughput phospho-proteomics data was recently introduced and solved using optimization heuristics based on stochastic methods. Here we demonstrate how this problem can be solved using Answer Set Programming (ASP), a declarative problem solving paradigm, in which a problem is encoded as a logical program such that its answer sets represent solutions to the problem. ASP has significant improvements over heuristic methods in terms of efficiency and scalability, it guarantees global optimality of solutions as well as provides a complete set of solutions. We illustrate the application of ASP with in silico cases based on realistic networks and data.

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7The Scientific Art Of Logic; An Introduction To The Principles Of Formal And Material Logic

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331 p. 24 cm

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8Formal Logic; A Scientific And Social Problem

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xviii, 423 p. 23 cm

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9Contributions To Formal Logic.

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Contributions to Formal Logic. Ellis, A Proceedings of the Royal Society of London (1854-1905). 1871-01-01. 20:307–308

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10Łukasiewicz Jan, Aristotle’s Syllogistic From The Standpoint Of Modern Formal Logic

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CHAPTER I ELEMENTS OF THE SYSTEM § I. The true form of the Aristotelian syllogism I § 2. Premisses and terms 3 § 3· Why singular terms were omitted by Aristotle . 5 § 4- Variables . . . . . 7 § 5· Syllogistic necessity. . . . 10 §6. What is formal logic? 12 § 7- What is formalism? 15 CHAPTER II THESES OF THE SYSTEM §8. Theses and rules of inference. 20 § 9· The syllogistic figures 23 § io. The major, middle, and minor terms . 28 § “ · The history of an error 30 § 12. The order of the premisses . 32 § 13· Errors of some modern commentators . 34 § Η· The four Galenian figures 38 CHAPTER III THE SYSTEM § 15· Perfect and imperfect syllogisms 43 § 16. The logic of terms and the logic of propositions 47 § 17· The proofs by conversion 5 1 § 18. The proofs by reductio ad impossibile 54 § 19· The proofs by ecthesis 59 § 20. The rejected forms . 67 § 21. Some unsolved problems 72 CHAPTER IV A r i s t o t l e ’s system  in s y m b o l ic  fo r m § 2 2 . Explanation of the symbolism 77 § 23. Theory of deduction 79 § 24. Quantifiers  . .. . 83 § 2 5 .Fundamentals of the syllogistic 88 §26. Deduction of syllogistic theses 90 § 2 7 . Axioms and rules for rejected expressions 94 §28. Insufficiency of our axioms and rules . 98 CHAPTER V THE PROBLEM OF DECISION § 29. The number of undecidable expressions IOO § 30. Slupecki's rule of rejection . 103 § 31· Deductive equivalence 106 § 32. Reduction to elementary expressions . I I I § 3 3 - Elementary expressions of the syllogistic 120 § 3 4 · An arithmetical interpretation of the syllogistic 126 § 3 5 - Conclusion  . . . . 130 CHAPTER VI A r i s t o t l e ’s m o d a l  l o g ic  of p r o p o s it io n s §36. Introduction  . . . . 133 § 37·Modal functions and their interrelations 134 §38. Basic modal logic. . . . 135 § 39·Laws of extensionality 138 §40. Aristotle's proof of the M 4 aw of extensionality 140 § 4»· Necessary connexions of propositions . 143 § 42. cMateriaΓ or cstrict’ implication? 146 § 43· Analytic propositions 148 § 4 4 - An Aristotelian paradox 151 § 4 5 · Contingency in Aristotle 154

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11History Of Formal Logic

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12The Laws Of Thought; Or, Formal Logic; A Brief, Comprehensive Treatise On The Laws And Methods Of Correct Thinking

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13An Introduction To Formal Logic

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14Logic : Techniques Of Formal Reasoning

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15Logic : An Emphasis On Formal Logic

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16The Traditional Formal Logic

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17A History Of Formal Logic

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18Simple Formal Logic : With Common-sense Symbolic Techniques

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19A Primer Of Formal Logic

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20Formal Logic : Its Scope And Limits

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21The History Of Philosophical And Formal Logic From Aristotle To Tarski By Alex Malpass, Marianna Antonutti Marfori

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Part I Th e Origins of Formal Logic 1 Aristotle’s Logic Adriane Rini 29 2 Stoic Logic Katerina Ierodiakonou 51 3 Medieval Logic Sara L. Uckelman 71 Part II Th e Early Modern Period 4 Leibniz Jaap Maat 101 5 Bolzano Jönne Kriener 121 6 Boole Giulia Terzian 143 Part III Mathematical Logic 7 C.S. Peirce Peter Øhrstrøm 165 8 Frege Walter B. Pedriali 183 9 Peano and Russell Alexander Bird 229 10 Hilbert Curtis Franks 243 Part IV Twentieth- Century Logic 11 Gödel P.D. Welch 269 12 Tarski Benedict Eastaugh 293 and more...

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22The Scope Of Formal Logic; The New Logical Doctrines Expounded, With Some Criticisms

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xiv, 165, [1] p. 22 cm

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23A Manual Of Logic; Or A Statement And Explanation Of The Laws Of Formal Thought

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24Paul Lorenzen Formal Logic

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25Aristotle's Syllogistic : From The Standpoint Of Modern Formal Logic

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26DTIC ADA243834: Formal Verification Of Digital Logic

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The most widely used technique for checking the correctness of digital circuits designs is simulation. As the complexity of digital circuits has continued to grow, however, circuit designers have become unable to perform complete simulations of their integrated circuits. Formal hardware verification provides an alternative approach, performing a series of mathematical proofs in order to show that the construction of the circuit from its submodules will result in the intended overall circuit behavior. Papers by Barrow in 1983 and 1984 discuss a PROLOG-based hierarchical formal circuit verification system named VERIFY. AFIT VERIFY, a simple, experimental reverse-engineered version of Barrow's VERIFY system, was produced by Captain Kevin Sparks in 1991. Since that time, a new user interface has been added to the AFIT VERIFY system, as well as the capability to maintain a central repository of standard, previously verified parts. This thesis provides a detailed description of these and other improvements that have been made to Sparks's AFIT VERIFY system.

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27Introductory Logic And Formal Methods

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The most widely used technique for checking the correctness of digital circuits designs is simulation. As the complexity of digital circuits has continued to grow, however, circuit designers have become unable to perform complete simulations of their integrated circuits. Formal hardware verification provides an alternative approach, performing a series of mathematical proofs in order to show that the construction of the circuit from its submodules will result in the intended overall circuit behavior. Papers by Barrow in 1983 and 1984 discuss a PROLOG-based hierarchical formal circuit verification system named VERIFY. AFIT VERIFY, a simple, experimental reverse-engineered version of Barrow's VERIFY system, was produced by Captain Kevin Sparks in 1991. Since that time, a new user interface has been added to the AFIT VERIFY system, as well as the capability to maintain a central repository of standard, previously verified parts. This thesis provides a detailed description of these and other improvements that have been made to Sparks's AFIT VERIFY system.

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28The Laws Of Thought: Or, Formal Logic; A Brief, Comprehensive Treatise On The Laws And Methods Of Correct Thinking

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The most widely used technique for checking the correctness of digital circuits designs is simulation. As the complexity of digital circuits has continued to grow, however, circuit designers have become unable to perform complete simulations of their integrated circuits. Formal hardware verification provides an alternative approach, performing a series of mathematical proofs in order to show that the construction of the circuit from its submodules will result in the intended overall circuit behavior. Papers by Barrow in 1983 and 1984 discuss a PROLOG-based hierarchical formal circuit verification system named VERIFY. AFIT VERIFY, a simple, experimental reverse-engineered version of Barrow's VERIFY system, was produced by Captain Kevin Sparks in 1991. Since that time, a new user interface has been added to the AFIT VERIFY system, as well as the capability to maintain a central repository of standard, previously verified parts. This thesis provides a detailed description of these and other improvements that have been made to Sparks's AFIT VERIFY system.

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29The Scientific Art Of Logic; An Introduction To The Principles Of Formal And Material Logic

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The most widely used technique for checking the correctness of digital circuits designs is simulation. As the complexity of digital circuits has continued to grow, however, circuit designers have become unable to perform complete simulations of their integrated circuits. Formal hardware verification provides an alternative approach, performing a series of mathematical proofs in order to show that the construction of the circuit from its submodules will result in the intended overall circuit behavior. Papers by Barrow in 1983 and 1984 discuss a PROLOG-based hierarchical formal circuit verification system named VERIFY. AFIT VERIFY, a simple, experimental reverse-engineered version of Barrow's VERIFY system, was produced by Captain Kevin Sparks in 1991. Since that time, a new user interface has been added to the AFIT VERIFY system, as well as the capability to maintain a central repository of standard, previously verified parts. This thesis provides a detailed description of these and other improvements that have been made to Sparks's AFIT VERIFY system.

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30The Treatment Of "Opposition" In Formal Logic

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"The Treatment of "Opposition" in Formal Logic" is an article from The Journal of Philosophy, Psychology and Scientific Methods, Volume 7 . View more articles from The Journal of Philosophy, Psychology and Scientific Methods . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2011273

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31The Laws Of Discursive Thought: Being A Text-book Of Formal Logic

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32An Investigation Of The Role Of Propositional Logic In Performance On Piagetian Formal Operational Tasks

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33Does Formal Logic Explain Active Processes?

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"Does Formal Logic Explain Active Processes?" is an article from The Journal of Speculative Philosophy, Volume 11 . View more articles from The Journal of Speculative Philosophy . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-25666058

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34Syntactic Rules For Formal Logic

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35Formal Logic | The ABCs Of Marxist Philosophy (Part 4)

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Logic is usually seen as a dry, boring discipline suitable only for pedants. This is because it is traditionally seen as having no relation to the real world of objects, and is instead a self-contained system of rules for thought. Marxism completely rejects this formalism and seeks to find the basis for our logic in this real world.Subscribe to the newly re-launched In Defence of Marxism theoretical magazine to learn more about the revolutionary ideas of Marxism: https://www.socialist.net/subscribe-idom.htmGet involved with Socialist Appeal today!Join - https://www.socialist.net/join?Donate - https://www.socialist.net/donate?Subscribe - https://www.socialist.net/subscribe?Follow us on Facebook, YouTube, Twitter and Soundcloud:Facebook - https://www.facebook.com/SocialistAppeal?YouTube - https://www.youtube.com/c/SocialistNe...?Twitter - https://www.twitter.com/socialist_app?SoundCloud - https://www.soundcloud.com/socialist-appeal

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36Introductory Formal Logic Of Mathematics

Logic is usually seen as a dry, boring discipline suitable only for pedants. This is because it is traditionally seen as having no relation to the real world of objects, and is instead a self-contained system of rules for thought. Marxism completely rejects this formalism and seeks to find the basis for our logic in this real world.Subscribe to the newly re-launched In Defence of Marxism theoretical magazine to learn more about the revolutionary ideas of Marxism: https://www.socialist.net/subscribe-idom.htmGet involved with Socialist Appeal today!Join - https://www.socialist.net/join?Donate - https://www.socialist.net/donate?Subscribe - https://www.socialist.net/subscribe?Follow us on Facebook, YouTube, Twitter and Soundcloud:Facebook - https://www.facebook.com/SocialistAppeal?YouTube - https://www.youtube.com/c/SocialistNe...?Twitter - https://www.twitter.com/socialist_app?SoundCloud - https://www.soundcloud.com/socialist-appeal

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37Essentials Of Formal Logic

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Logic is usually seen as a dry, boring discipline suitable only for pedants. This is because it is traditionally seen as having no relation to the real world of objects, and is instead a self-contained system of rules for thought. Marxism completely rejects this formalism and seeks to find the basis for our logic in this real world.Subscribe to the newly re-launched In Defence of Marxism theoretical magazine to learn more about the revolutionary ideas of Marxism: https://www.socialist.net/subscribe-idom.htmGet involved with Socialist Appeal today!Join - https://www.socialist.net/join?Donate - https://www.socialist.net/donate?Subscribe - https://www.socialist.net/subscribe?Follow us on Facebook, YouTube, Twitter and Soundcloud:Facebook - https://www.facebook.com/SocialistAppeal?YouTube - https://www.youtube.com/c/SocialistNe...?Twitter - https://www.twitter.com/socialist_app?SoundCloud - https://www.soundcloud.com/socialist-appeal

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38Discovering Formal Logic

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Logic is usually seen as a dry, boring discipline suitable only for pedants. This is because it is traditionally seen as having no relation to the real world of objects, and is instead a self-contained system of rules for thought. Marxism completely rejects this formalism and seeks to find the basis for our logic in this real world.Subscribe to the newly re-launched In Defence of Marxism theoretical magazine to learn more about the revolutionary ideas of Marxism: https://www.socialist.net/subscribe-idom.htmGet involved with Socialist Appeal today!Join - https://www.socialist.net/join?Donate - https://www.socialist.net/donate?Subscribe - https://www.socialist.net/subscribe?Follow us on Facebook, YouTube, Twitter and Soundcloud:Facebook - https://www.facebook.com/SocialistAppeal?YouTube - https://www.youtube.com/c/SocialistNe...?Twitter - https://www.twitter.com/socialist_app?SoundCloud - https://www.soundcloud.com/socialist-appeal

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39Studies And Exercises In Formal Logic [microform], Including A Generalisation Of Logical Processes In Their Application To Complex Inferences..

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Logic is usually seen as a dry, boring discipline suitable only for pedants. This is because it is traditionally seen as having no relation to the real world of objects, and is instead a self-contained system of rules for thought. Marxism completely rejects this formalism and seeks to find the basis for our logic in this real world.Subscribe to the newly re-launched In Defence of Marxism theoretical magazine to learn more about the revolutionary ideas of Marxism: https://www.socialist.net/subscribe-idom.htmGet involved with Socialist Appeal today!Join - https://www.socialist.net/join?Donate - https://www.socialist.net/donate?Subscribe - https://www.socialist.net/subscribe?Follow us on Facebook, YouTube, Twitter and Soundcloud:Facebook - https://www.facebook.com/SocialistAppeal?YouTube - https://www.youtube.com/c/SocialistNe...?Twitter - https://www.twitter.com/socialist_app?SoundCloud - https://www.soundcloud.com/socialist-appeal

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40A Treatise Of Formal Logic : Its Evolution And Main Branches

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Logic is usually seen as a dry, boring discipline suitable only for pedants. This is because it is traditionally seen as having no relation to the real world of objects, and is instead a self-contained system of rules for thought. Marxism completely rejects this formalism and seeks to find the basis for our logic in this real world.Subscribe to the newly re-launched In Defence of Marxism theoretical magazine to learn more about the revolutionary ideas of Marxism: https://www.socialist.net/subscribe-idom.htmGet involved with Socialist Appeal today!Join - https://www.socialist.net/join?Donate - https://www.socialist.net/donate?Subscribe - https://www.socialist.net/subscribe?Follow us on Facebook, YouTube, Twitter and Soundcloud:Facebook - https://www.facebook.com/SocialistAppeal?YouTube - https://www.youtube.com/c/SocialistNe...?Twitter - https://www.twitter.com/socialist_app?SoundCloud - https://www.soundcloud.com/socialist-appeal

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41Solving Problem Formal Logic. Solution Manual Fedorchenko M. V

Solution Manual

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42The Modalist; Or, The Laws Of Rational Conviction. A Textbook In Formal Or General Logic

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43Jacques Maritain Formal Logic Sheed & Ward ( 1937) Text

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Estudo doutrinário da lógica.

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44Elements Of Formal Logic

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xi, 243 p. : 24 cm

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45Formal Logic: Its Scope And Limits

xi, 243 p. : 24 cm

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46Introductory Symbolic Logic Without Formal Proofs

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xi, 243 p. : 24 cm

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47Aristotle's Syllogistic From The Standpoint Of Modern Formal Logic.

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xi, 243 p. : 24 cm

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48A Synopsis Of Elementary Formal Logic In Questions

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Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb.

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49Computability Logic: A Formal Theory Of Interaction

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Computability logic is a formal theory of (interactive) computability in the same sense as classical logic is a formal theory of truth. This approach was initiated very recently in "Introduction to computability logic" (Annals of Pure and Applied Logic 123 (2003), pp.1-99). The present paper reintroduces computability logic in a more compact and less technical way. It is written in a semitutorial style with a general computer science, logic or mathematics audience in mind. An Internet source on the subject is available at http://www.cis.upenn.edu/~giorgi/cl.html, and additional material at http://www.csc.villanova.edu/~japaridz/CL/gsoll.html .

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50Hpr3789 :: Common Lisp Portable Games Including Acl2 Formal Logic

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Summary: Describing exploratory libre common lisp portable games I am using acl2 formal methods in modules of Source: http://hackerpublicradio.org/eps.php?id=3789 Original audio: https://archive.org/download/hpr3789/hpr3789_source.ogg Source I was looking through while talking WIP: gopher://gopher.club/1/users/screwtape/car-game Compilers: sbcl https://sbcl.org/ ecl https://ecl.common-lisp.dev/ acl2 https://www.cs.utexas.edu/users/moore/acl2/manuals/current/manual/index-seo.php/ACL2____Common_02Lisp System definition: asdf https://common-lisp.net/project/asdf/ Books mentioned: Land of Lisp Advances in Formal methods (whatever by Kaufmann)

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Source: The Open Library

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1Formal logic

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“Formal logic” Metadata:

  • Title: Formal logic
  • Author:
  • Language: English
  • Number of Pages: Median: 196
  • Publisher: McGraw-Hill
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  • Publish Location: New York
  • Dewey Decimal Classification: 160
  • Library of Congress Classification: BC-0071.00000000.J38BC-0128.00000000

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  • First Year Published: 1967
  • Is Full Text Available: Yes
  • Is The Book Public: No
  • Access Status: Borrowable

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2Formal logic: its scope and limits

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“Formal logic: its scope and limits” Metadata:

  • Title: ➤  Formal logic: its scope and limits
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  • Language: English
  • Number of Pages: Median: 238
  • Publisher: McGraw-Hill
  • Publish Date:
  • Publish Location: New York
  • Dewey Decimal Classification: 160
  • Library of Congress Classification: BC-0071.00000000.J38

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  • The Open Library ID: OL5539482M
  • Online Computer Library Center (OCLC) ID: 293438
  • Library of Congress Control Number (LCCN): 67016929

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  • First Year Published: 1967
  • Is Full Text Available: Yes
  • Is The Book Public: No
  • Access Status: Borrowable

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