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Logic and Information
Edited by Simon D'Alfonso
About this topic
| Summary | The relationship between logic and information is an intimate one that goes both ways. Firstly, information has played a role in providing a basis for certain accounts of logic. At a basic level there is the interpretation that good logic arguments are just those arguments where the information in the conclusion is already contained in the premises of that argument. Furthermore, notions of information have been used to good effect in developing semantics for certain logics, particularly relevant logic. Secondly, logics of information have provided formal accounts of various information phenomena, such as logics of being informed. |
| Key works | Jakko Hintikka has been one of the pioneers in investigating the relationship between logic and information, looking at measures of semantic information for contingent propositions and information measures for tautologies/deductive inferences. His Hintikka 1970 contains papers on the topic. Devlin 1991, Barwise & Seligman 1997 and Israel & Perry 1991 represent an important collection of works that provide general accounts of information flow based on situation semantics/theory. Mares 1996 and Restall 1996 are attempts to provide an informational semantics for relevant logic. |
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Related
Siblings
- Conceptions of Information (530)
- The Information Economy (41)
- The Infosphere (38)
- Information Theory (246)
- Information Ethics (260)
- Misinformation (80)
- Physics of Information (90)
- Information-Based Accounts of Mental Content (170)
- Ontology of Information Artifacts (17)
- Genetic Information (33)
- Biological Information (267)
- Biomedical Information (44 | 7)
- Quantum Information (258)
- Philosophy of Information, Misc (152)
Contents
231 found
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| 1 — 50 / 231 |
- On Classical and Quantum Logical Entropy.David Ellerman - manuscriptThe notion of a partition on a set is mathematically dual to the notion of a subset of a set, so there is a logic of partitions dual to Boole's logic of subsets (Boolean logic is usually mis-specified as "propositional" logic). The notion of an element of a subset has as its dual the notion of a distinction of a partition (a pair of elements in different blocks). Boole developed finite logical probability as the normalized counting measure on elements of (...)
- The concept of information for functions.Yair Lapin - manuscriptA Shannon's information for functions, an interpretation for equations with multiple solutions, and some reflections on recursion, recursive functions, and computational complexity.Remove from this listExport citation
Bookmark - Arithmetic logical Irreversibility and the Halting Problem (Revised and Fixed version).Yair Lapin - manuscriptThe Turing machine halting problem can be explained by several factors, including arithmetic logic irreversibility and memory erasure, which contribute to computational uncertainty due to information loss during computation. Essentially, this means that an algorithm can only preserve information about an input, rather than generate new information. This uncertainty arises from characteristics such as arithmetic logical irreversibility, Landauer's principle, and memory erasure, which ultimately lead to a loss of information and an increase in entropy. To measure this uncertainty and loss (...)
- God: Shifting Arguments and the Single Theory of Everything.Joey Lawsin - manuscriptThe Phrenological Argument, also known as God's Parapraxis, is a new provocative philosophical argument that showcases God's Mental State of Inadequacy in his creation of the Human Mind. Lawsin* argues that if God has a perfect mind flawlessly capable of knowing things in advance, then he should have anticipated ahead of time the repercussion of creating a human mind that cannot fathom Truth and Reality. But since he created a mind incapable of knowing what is real and what is true, (...)Remove from this listExport citation Bookmark
- Valuations.Jean-Louis Lenard - manuscriptIs logic empirical? Is logic to be found in the world? Or is logic rather a convention, a product of conventions, part of the many rules that regulate the language game? Answers fall in either camp. We like the linguistic answer. In this paper, we want to analyze how a linguistic community would tackle the problem of developing a logic and show how the linguistic conventions adopted by the community determine the properties of the local logic. Then show how to (...)
- A Semantic Information Formula Compatible with Shannon and Popper's Theories.Chenguang Lu - manuscriptSemantic Information conveyed by daily language has been researched for many years; yet, we still need a practical formula to measure information of a simple sentence or prediction, such as “There will be heavy rain tomorrow”. For practical purpose, this paper introduces a new formula, Semantic Information Formula (SIF), which is based on L. A. Zadeh’s fuzzy set theory and P. Z. Wang’s random set falling shadow theory. It carries forward C. E. Shannon and K. Popper’s thought. The fuzzy set’s (...)
- Lying in the Time of Crisis.Venkata Rayudu Posina - manuscriptBeginning with an examination of the recent Nature News centered on Harvard-Lancet-Mehra et al. COVID-19 research scandal, I put forth suggestions--for further debate--to safeguard the integrity of science in a time of crisis. In particular, I identify a subtle form of lying published as Nature news. Subsequently, drawing on Scarry's book "Thinking in an Emergency", I argue that slow reasoning and quick action (called for by crises) are not mutually incompatible; thinking can be transformed into conscious-reflex action by way of (...)
- An Occurrence Description Logic.Farshad Badie & Hans Götzsche - forthcoming - Logical Investigations:142-156.Description Logics (DLs) are a family of well-known terminological knowledge representation formalisms in modern semantics-based systems. This research focuses on analysing how our developed Occurrence Logic (OccL) can conceptually and logically support the development of a description logic. OccL is integrated into the alternative theory of natural language syntax in `Deviational Syntactic Structures' under the label `EFA(X)3' (or the third version of Epi-Formal Analysis in Syntax, EFA(X), which is a radical linguistic theory). From the logical point of view, OccL is (...)
- Two-method errors: having it both ways.John Corcoran & Idris Samawi Hamid - forthcoming - Bulletin of Symbolic Logic.►JOHN CORCORAN AND IDRIS SAMAWI HAMID, Two-method errors: having it both ways. Philosophy, University at Buffalo, Buffalo, NY 14260-4150, USA E-mail: [email protected] Philosophy, Colorado State University, Fort Collins, CO 80523-1781 USA E-mail: [email protected] Where two methods produce similar results, mixing the two sometimes creates errors we call two-method errors, TMEs: in style, syntax, semantics, pragmatics, implicature, logic, or action. This lecture analyzes examples found in technical and in non-technical contexts. One can say “Abe knows whether Ben draws” in two other (...)
- An informational view of classical logic.Marcello D'Agostino - forthcoming - Theoretical Computer Science.We present an informational view of classical propositional logic that stems from a kind of informational semantics whereby the meaning of a logical operator is specified solely in terms of the information that is actually possessed by an agent. In this view the inferential power of logical agents is naturally bounded by their limited capability of manipulating “virtual information”, namely information that is not implicitly contained in the data. Although this informational semantics cannot be expressed by any finitely-valued matrix, it (...)
- Rozwiązanie dylematu Jörgensena, paradoksu kłamcy, paradoksu Rossa i paradoksu Priora.Jan Pociej - forthcoming - Https://Www.Academia.Edu/99002629/Rozwi%C4%85Zanie_Dylematu_J%C3%B6Rgensena_Paradoksu_K%C5%82Amcy_Pa radoksu_Rossa_I_Paradoksu_Priora.Dylemat i paradoksy wymienione w tytule długo stanowiły dla logiki zagadkę. Do ich rozwiązania okazało się konieczne dokonanie pewnych rozstrzygnięć filozoficznych. Artykuł podaje te rozstrzygnięcia i omawia sposoby rozwiązania każdego z problemów.
- Variations on determinacy and.Ramez L. Sami - forthcoming - Journal of Symbolic Logic:1-10.
- Logic, Language & Information: The Makings of a New Science?Johan van Benthem - forthcoming - Journal of Logic, Language, and Information.Remove from this listExport citation Bookmark
- Computational logic. Vol. 1: Classical deductive computing with classical logic. 2nd ed.Luis M. Augusto - 2022 - London: College Publications.This is the 3rd edition. Although a number of new technological applications require classical deductive computation with non-classical logics, many key technologies still do well—or exclusively, for that matter—with classical logic. In this first volume, we elaborate on classical deductive computing with classical logic. The objective of the main text is to provide the reader with a thorough elaboration on both classical computing – a.k.a. formal languages and automata theory – and classical deduction with the classical first-order predicate calculus with (...)
- Relationships between computability-theoretic properties of problems.Rod Downey, Noam Greenberg, Matthew Harrison-Trainor, Ludovic Patey & Dan Turetsky - 2022 - Journal of Symbolic Logic 87 (1):47-71.A problem is a multivalued function from a set of instances to a set of solutions. We consider only instances and solutions coded by sets of integers. A problem admits preservation of some computability-theoretic weakness property if every computable instance of the problem admits a solution relative to which the property holds. For example, cone avoidance is the ability, given a noncomputable set A and a computable instance of a problem ${\mathsf {P}}$, to find a solution relative to which A (...)
- A Multi-wavelength Data Analysis with Multi-mission Space Telescopes.Yang I. Pachankis - 2022 - International Journal of Innovative Science and Research Technology 7 (1):701-708.The article summarizes the software tool on astrophysical analysis with multi-wavelength space telescope data. It recaps the evidence analysis conducted on the Kerr-Newman black hole (KNBH). It was written prior to the article Research on the Kerr-Newman Black Hole in M82 Confirms Black Hole and White Hole Juxtapose not soon after the experiment. The conducted analysis suggested Hawking radiation is caused by the movement of ergosurfaces of the BH and serves as the primal evidence for black hole and white hole (...)
- Some Concepts of Space, Time, and Lengths in Simplified Chinese*: An Analytical Linguistics Approach.Yang Immanuel Pachankis - 2022 - International Journal of Innovative Science and Research Technology 7 (6):550-562.The article explains on the two-year experiment after the author’s finalization of dissertation. The thesis of the dissertation was hidden in the last chapter with analytical linguistics. It was done so with the fascist development of the Chinese Communist regime with neo- Nazi characteristics. Since numerous prior warnings on the political downshifts & coup d’état in China was willfully ignored by the university, the linguistic innovations in dissertation found a balance between multilateralism and outer space (security). The experiments were conducted (...)
- MASS SURVEILLANCE, BEHAVIOURAL CONTROL, AND PSYCHOLOGICAL COERCION THE MORAL ETHICAL RISKS IN COMMERCIAL DEVICES.Yang Immanuel Pachankis - 2022 - In David C. Wyld & Dhinaharan Nagamalai (eds.), Computer Science and Information Technology. Chennai, India: pp. 151-168.The research observed, in parallel and comparatively, a surveillance state’s use of communication & cyber networks with satellite applications for power political & realpolitik purposes, in contrast to the outer space security & legit scientific purpose driven cybernetics. The research adopted a psychoanalytic & psychosocial method of observation in the organizational behaviors of the surveillance state, and a theoretical physics, astrochemical, & cosmological feedback method in the contrast group of cybernetics. Military sociology and multilateral movements were adopted in the diagnostic (...)
- Towards Tractable Approximations to Many-Valued Logics: the Case of First Degree Entailment.Alejandro Solares-Rojas & Marcello D’Agostino - 2022 - In Igor Sedlár (ed.), The Logica Yearbook, 2021. London, UK: pp. 57-76.FDE is a logic that captures relevant entailment between implication-free formulae and admits of an intuitive informational interpretation as a 4-valued logic in which “a computer should think”. However, the logic is co-NP complete, and so an idealized model of how an agent can think. We address this issue by shifting to signed formulae where the signs express imprecise values associated with two distinct bipartitions of the set of standard 4 values. Thus, we present a proof system which consists of (...)
- The Information Economy.Ilexa Yardley - 2022 - Https://Medium.Com/the-Circular-Theory.Everything in a human 'universe' (a human mind) depends upon finance. This is because finance is the tokenization, and, therefore, the conservation (the representation) of an uber-basic circle. One zero and (or) one one produces an unlimited number (variation) (combination) of zeroes and ones. Which is exactly what is happening in all disciplines (philosophy, physics, psychology, biology, technology, media).
- Information, meaning and physics: The intellectual evolution of the English School of Information Theory during 1946-1956.Javier Anta - 2021 - Science in Context 34 (3):357-373.ArgumentIn this comparative historical analysis, we will analyze the intellectual tendency that emerged between 1946 and 1956 to take advantage of the popularity of communication theory to develop a kind of informational epistemology of statistical mechanics. We will argue that this tendency results from a historical confluence in the early 1950s of certain theoretical claims of the so-called English School of Information Theory, championed by authors such as Gabor (1956) or MacKay (1969), and from the attempt to extend the profound (...)
- Diagrammatic Representation and Inference. 12th International Conference, Diagrams 2021, Virtual, September 28–30, 2021, Proceedings.A. Basu, G. Stapleton, S. Linker, C. Legg, E. Manalo & P. Viana (eds.) - 2021 - Springer.Remove from this listExport citation Bookmark
- Intuitionistic fixed point logic.Ulrich Berger & Hideki Tsuiki - 2021 - Annals of Pure and Applied Logic 172 (3):102903.We study the system IFP of intuitionistic fixed point logic, an extension of intuitionistic first-order logic by strictly positive inductive and coinductive definitions. We define a realizability interpretation of IFP and use it to extract computational content from proofs about abstract structures specified by arbitrary classically true disjunction free formulas. The interpretation is shown to be sound with respect to a domain-theoretic denotational semantics and a corresponding lazy operational semantics of a functional language for extracted programs. We also show how (...)
- Completion of choice.Vasco Brattka & Guido Gherardi - 2021 - Annals of Pure and Applied Logic 172 (3):102914.We systematically study the completion of choice problems in the Weihrauch lattice. Choice problems play a pivotal rôle in Weihrauch complexity. For one, they can be used as landmarks that characterize important equivalences classes in the Weihrauch lattice. On the other hand, choice problems also characterize several natural classes of computable problems, such as finite mind change computable problems, non-deterministically computable problems, Las Vegas computable problems and effectively Borel measurable functions. The closure operator of completion generates the concept of total (...)
- Techno-Telepathy & Silent Subvocal Speech-Recognition Robotics.Virgil W. Brower - 2021 - HORIZON. Studies in Phenomenology 10 (1):232-257.The primary focus of this project is the silent and subvocal speech-recognition interface unveiled in 2018 as an ambulatory device wearable on the neck that detects a myoelectrical signature by electrodes worn on the surface of the face, throat, and neck. These emerge from an alleged “intending to speak” by the wearer silently-saying-something-to-oneself. This inner voice is believed to occur while one reads in silence or mentally talks to oneself. The artifice does not require spoken sounds, opening the mouth, or (...)
- Recursive axiomatisations from separation properties.Rob Egrot - 2021 - Journal of Symbolic Logic 86 (3):1228-1258.We define a fragment of monadic infinitary second-order logic corresponding to an abstract separation property, We use this to define the concept of a separation subclass. We use model theoretic techniques and games to show that separation subclasses whose axiomatisations are recursively enumerable in our second-order fragment can also be recursively axiomatised in their original first-order language. We pin down the expressive power of this formalism with respect to first-order logic, and investigate some questions relating to decidability and computational complexity. (...)
- Computable irrational numbers with representations of surprising complexity.Ivan Georgiev, Lars Kristiansen & Frank Stephan - 2021 - Annals of Pure and Applied Logic 172 (2):102893.
- Knowability Relative to Information.Peter Hawke & Franz Berto - 2021 - Mind 130 (517):1-33.We present a formal semantics for epistemic logic, capturing the notion of knowability relative to information (KRI). Like Dretske, we move from the platitude that what an agent can know depends on her (empirical) information. We treat operators of the form K_AB (‘B is knowable on the basis of information A’) as variably strict quantifiers over worlds with a topic- or aboutness- preservation constraint. Variable strictness models the non-monotonicity of knowledge acquisition while allowing knowledge to be intrinsically stable. Aboutness-preservation models (...)
- Probabilities with Gaps and Gluts.Dominik Klein, Ondrej Majer & Soroush Rafiee Rad - 2021 - Journal of Philosophical Logic 50 (5):1107-1141.Belnap-Dunn logic, sometimes also known as First Degree Entailment, is a four-valued propositional logic that complements the classical truth values of True and False with two non-classical truth values Neither and Both. The latter two are to account for the possibility of the available information being incomplete or providing contradictory evidence. In this paper, we present a probabilistic extension of BD that permits agents to have probabilistic beliefs about the truth and falsity of a proposition. We provide a sound and (...)
- Information and the History of Philosophy.Chris Meyns (ed.) - 2021 - Routledge.In recent years the philosophy of information has emerged as an important area of research in philosophy. However, until now information’s philosophical history has been largely overlooked. Information and the History of Philosophy is the first comprehensive investigation of the history of philosophical questions around information, including work from before the Common Era to the twenty-first century. It covers scientific and technology-centred notions of information; views of human information processing, as well as socio-political topics such as the control and use (...)
- Intrinsic smallness.Justin Miller - 2021 - Journal of Symbolic Logic 86 (2):558-576.Recent work in computability theory has focused on various notions of asymptotic computability, which capture the idea of a set being “almost computable.” One potentially upsetting result is that all four notions of asymptotic computability admit “almost computable” sets in every Turing degree via coding tricks, contradicting the notion that “almost computable” sets should be computationally close to the computable sets. In response, Astor introduced the notion of intrinsic density: a set has defined intrinsic density if its image under any (...)
- A New Argument for Kolomogorov Conditionalization.Michael Nielsen - 2021 - Review of Symbolic Logic 14 (4):1-16.This paper contributes to a recent research program that extends arguments supporting elementary conditionalization to arguments supporting conditionalization with general, measure-theoretic conditional probabilities. I begin by suggesting an amendment to the framework that Rescorla (2018) has used to characterize regular conditional probabilities in terms of avoiding Dutch book. If we wish to model learning scenarios in which an agent gains complete membership knowledge about some subcollection of the events of interest to her, then we should focus on updating policies that (...)
- The reverse mathematics of theorems of Jordan and lebesgue.André Nies, Marcus A. Triplett & Keita Yokoyama - 2021 - Journal of Symbolic Logic 86 (4):1657-1675.The Jordan decomposition theorem states that every function $f \colon \, [0,1] \to \mathbb {R}$ of bounded variation can be written as the difference of two non-decreasing functions. Combining this fact with a result of Lebesgue, every function of bounded variation is differentiable almost everywhere in the sense of Lebesgue measure. We analyze the strength of these theorems in the setting of reverse mathematics. Over $\mathsf {RCA}_{0}$, a stronger version of Jordan’s result where all functions are continuous is equivalent to (...)
- Computable analogs of cardinal characteristics: Prediction and rearrangement.Iván Ongay-Valverde & Paul Tveite - 2021 - Annals of Pure and Applied Logic 172 (1):102872.There has recently been work by multiple groups in extracting the properties associated with cardinal invariants of the continuum and translating these properties into similar analogous combinatorial properties of computational oracles. Each property yields a highness notion in the Turing degrees. In this paper we study the highness notions that result from the translation of the evasion number and its dual, the prediction number, as well as two versions of the rearrangement number. When translated appropriately, these yield four new highness (...)
- Weaker variants of infinite time Turing machines.Matteo Bianchetti - 2020 - Archive for Mathematical Logic 59 (3-4):335-365.Infinite time Turing machines represent a model of computability that extends the operations of Turing machines to transfinite ordinal time by defining the content of each cell at limit steps to be the lim sup of the sequences of previous contents of that cell. In this paper, we study a computational model obtained by replacing the lim sup rule with an ‘eventually constant’ rule: at each limit step, the value of each cell is defined if and only if the content (...)
- Finding the limit of incompleteness I.Yong Cheng - 2020 - Bulletin of Symbolic Logic 26 (3-4):268-286.In this paper, we examine the limit of applicability of Gödel’s first incompleteness theorem. We first define the notion “$\textsf {G1}$ holds for the theory $T$”. This paper is motivated by the following question: can we find a theory with a minimal degree of interpretation for which $\textsf {G1}$ holds. To approach this question, we first examine the following question: is there a theory T such that Robinson’s $\mathbf {R}$ interprets T but T does not interpret $\mathbf {R}$ and $\textsf (...)
- Computable linear orders and products.Andrey N. Frolov, Steffen Lempp, Keng Meng Ng & Guohua Wu - 2020 - Journal of Symbolic Logic 85 (2):605-623.We characterize the linear order types $\tau $ with the property that given any countable linear order $\mathcal {L}$, $\tau \cdot \mathcal {L}$ is a computable linear order iff $\mathcal {L}$ is a computable linear order, as exactly the finite nonempty order types.
- Measuring Inconsistency in Generalized Propositional Logic.John Grant - 2020 - Logica Universalis 14 (3):331-356.Consistency is one of the key concepts of logic; logicians have put a great deal of effort into proving the consistency of many logics. Understanding what causes inconsistency is also important; some logicians have developed paraconsistent logics that, unlike classical logics, allow some contradictions without making all formulas provable. Another direction of research studies inconsistency by measuring the amount of inconsistency of sets of formulas. While the initial attempt in 1978 was too ambitious in trying to do this for first-order (...)
- Extended Syllogistics in Calculus CL.Jens Lemanski - 2020 - Journal of Applied Logics 8 (2):557-577.Extensions of traditional syllogistics have been increasingly researched in philosophy, linguistics, and areas such as artificial intelligence and computer science in recent decades. This is mainly due to the fact that syllogistics is seen as a logic that comes very close to natural language abilities. Various forms of extended syllogistics have become established. This paper deals with the question to what extent a syllogistic representation in CL diagrams can be seen as a form of extended syllogistics. It will be shown (...)
- High-Order Metaphysics as High-Order Abstractions and Choice in Set Theory.Vasil Penchev - 2020 - Epistemology eJournal (Elsevier: SSRN) 13 (21):1-3.The link between the high-order metaphysics and abstractions, on the one hand, and choice in the foundation of set theory, on the other hand, can distinguish unambiguously the “good” principles of abstraction from the “bad” ones and thus resolve the “bad company problem” as to set theory. Thus it implies correspondingly a more precise definition of the relation between the axiom of choice and “all company” of axioms in set theory concerning directly or indirectly abstraction: the principle of abstraction, axiom (...)
- Semantic Information G Theory and Logical Bayesian Inference for Machine Learning.Chenguang Lu - 2019 - Information 10 (8):261.An important problem with machine learning is that when label number n>2, it is very difficult to construct and optimize a group of learning functions, and we wish that optimized learning functions are still useful when prior distribution P(x) (where x is an instance) is changed. To resolve this problem, the semantic information G theory, Logical Bayesian Inference (LBI), and a group of Channel Matching (CM) algorithms together form a systematic solution. MultilabelMultilabel A semantic channel in the G theory consists (...)
- Effective Validity: A Generalized Logic for Stable Approximate Inference.Robert H. C. Moir - 2019 - In James Robert Brown, Shaoshi Chen, Robert M. Corless, Ernest Davis, Nicolas Fillion, Max Gunzburger, Benjamin C. Jantzen, Daniel Lichtblau, Yuri Matiyasevich, Robert H. C. Moir, Mark Wilson & James Woodward (eds.), Algorithms and Complexity in Mathematics, Epistemology, and Science: Proceedings of 2015 and 2016 Acmes Conferences. Springer New York. pp. 225-268.The traditional approach in philosophy of using logic to reconstruct scientific theories and methods operates by presenting or representing a scientific theory or method in a specialized formal language. The logic of such languages is deductive, which makes this approach effective for those aspects of science that use deductive methods or for which deductive inference provides a good idealization. Many theories and methods in science, however, use non-deductive forms of approximation. Approximate inferences, which produce approximately correct conclusions and do so (...)$85.19 new (collection) View on Amazon.comRemove from this list Direct downloadExport citation Bookmark 1 citation
- A Toothful of Concepts: Towards a Theory of Weighted Concept Combination.Daniele Porello, Oliver Kutz, Guendalina Righetti, Nicolas Troquard, Pietro Galliani & Claudio Masolo - 2019 - In Mantas Simkus & Grant E. Weddell (eds.), Proceedings of the 32nd International Workshop on Description Logics, Oslo, Norway, June 18-21, 2019.We introduce a family of operators to combine Description Logic concepts. They aim to characterise complex concepts that apply to instances that satisfy \enough" of the concept descriptions given. For instance, an individual might not have any tusks, but still be considered an elephant. To formalise the meaning of "enough", the operators take a list of weighted concepts as arguments, and a certain threshold to be met. We commence a study of the formal properties of these operators, and study some (...)
- SNOMED CT standard ontology based on the ontology for general medical science.Shaker El-Sappagh, Francesco Franda, Ali Farman & Kyung-Sup Kwak - 2018 - BMC Medical Informatics and Decision Making 76 (18):1-19.Background: Systematized Nomenclature of Medicine—Clinical Terms (SNOMED CT, hereafter abbreviated SCT) is acomprehensive medical terminology used for standardizing the storage, retrieval, and exchange of electronic healthdata. Some efforts have been made to capture the contents of SCT as Web Ontology Language (OWL), but theseefforts have been hampered by the size and complexity of SCT. Method: Our proposal here is to develop an upper-level ontology and to use it as the basis for defining the termsin SCT in a way that will (...)
- Logical Entropy: Introduction to Classical and Quantum Logical Information theory.David Ellerman - 2018 - Entropy 20 (9):679.Logical information theory is the quantitative version of the logic of partitions just as logical probability theory is the quantitative version of the dual Boolean logic of subsets. The resulting notion of information is about distinctions, differences and distinguishability and is formalized using the distinctions of a partition. All the definitions of simple, joint, conditional and mutual entropy of Shannon information theory are derived by a uniform transformation from the corresponding definitions at the logical level. The purpose of this paper (...)
- Crítica da Razão Positrônica.Sandro Rinaldi Feliciano - 2018 - Dissertation, Universidade Federal Do AbcExiste um horizonte à frente. Este horizonte está longe de ser aquele aqui descrito em sua forma, mas talvez o seja em sua essência. O que quero dizer com isso é que existe uma possibilidade de os cérebros positrônicos do título nunca existirem para além das brilhantes mentes que os conceberam na Ficção Científica, mas isto não quer dizer que não existirão sistemas análogos em suas funções, principalmente quanto à racionalidade. A Crítica da Razão Positrônica é um texto que tem (...)
- A Scientific Metaphysical Naturalisation of Information.Bruce Long - 2018 - Dissertation, University of SydneyThe objective of this thesis is to present a naturalised metaphysics of information, or to naturalise information, by way of deploying a scientific metaphysics according to which contingency is privileged and a-priori conceptual analysis is excluded (or at least greatly diminished) in favour of contingent and defeasible metaphysics. The ontology of information is established according to the premises and mandate of the scientific metaphysics by inference to the best explanation, and in accordance with the idea that the primacy of physics (...)
- Logics for modelling collective attitudes.Daniele Porello - 2018 - Fundamenta Informaticae 158 (1-3):239-27.We introduce a number of logics to reason about collective propositional attitudes that are defined by means of the majority rule. It is well known that majoritarian aggregation is subject to irrationality, as the results in social choice theory and judgment aggregation show. The proposed logics for modelling collective attitudes are based on a substructural propositional logic that allows for circumventing inconsistent outcomes. Individual and collective propositional attitudes, such as beliefs, desires, obligations, are then modelled by means of minimal modalities (...)
- A Constructionist Philosophy of Logic.Patrick Allo - 2017 - Minds and Machines 27 (3):545-564.This paper develops and refines the suggestion that logical systems are conceptual artefacts that are the outcome of a design-process by exploring how a constructionist epistemology and meta-philosophy can be integrated within the philosophy of logic.
- Informação, conhecimento e modelos.Marcos Antonio Alves, Daniel Martínez-Ávila & Maria Cláudia Cabrini Gracio (eds.) - 2017 - Campinas-Marília/Brasil: Coleção CLE-Unicamp/Cultura Acadêmica-UNESP.We are in the information age. Nowadays, the information is a high power commodity. Your domain and handling have high economic, political, social value. However, we still know little about it. What is the information? How do we store it, retrieve it and manipulate it? Everyone have or should have equal access to information? What is the relationship between information and knowledge? How can both influence and be influenced by the action? Can they are modeled? The models can contribute to (...)
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