Results for 'formal symbol'

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  1.  11
    Towards a Formal Symbolic Occurrence Logic.Farshad Badie - 2018 - In Hans Götzsche (ed.), The Meaning of Language. Newcastle-under-Lyme, UK: Cambridge Scholars.
    In this research I will focus on a basis for a formal model based on an alternative kind of logic invented by Hans Götzsche: Occurrence Logic (Occ Log), which is not based on truth values and truth functionality. Also, I have taken into account tense logic developed and elaborated by A. N. Prior. In this article I will provide a conceptual and logical foundation for formal Occurrence Logic based on symbolic logic and will illustrate the most important relations (...)
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  2.  55
    Non-Symbolic Arithmetic Abilities and Mathematics Achievement in the First Year of Formal Schooling.Camilla K. Gilmore, Shannon E. McCarthy & Elizabeth S. Spelke - 2010 - Cognition 115 (3):394-406.
  3. Formal Methods: An Introduction to Symbolic Logic and to the Study of Effective Operations in Arithmetic and Logic.Evert Willem Beth - 1962 - New York: Gordon & Breach.
  4. Formal Methods: An Introduction to Symbolic Logic and to the Study of Effective Operations in Arithmetic and Logic.Evert W. Beth - 1962 - Studia Logica 14:346-348.
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  5.  40
    Introductory Symbolic Logic Without Formal Proofs.Thomas Young - 1992 - Teaching Philosophy 15 (3):296-298.
  6.  8
    Simple Formal Logic: With Common-Sense Symbolic Techniques.Arnold Vander Nat - 2009 - Routledge.
    Perfect for students with no background in logic or philosophy, Simple Formal Logic provides a full system of logic adequate to handle everyday and philosophical reasoning. By keeping out artificial techniques that aren’t natural to our everyday thinking process, Simple Formal Logic trains students to think through formal logical arguments for themselves, ingraining in them the habits of sound reasoning. Simple Formal Logic features: a companion website with abundant exercise worksheets, study supplements (including flashcards for symbolizations (...)
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  7. Symbolic Forms and Formal Design in Music, Morals and Legal Systems: Instead of an Address to Alchourron Y Bulygin.W. Krawietz - 1997 - Rechtstheorie 28 (3).
     
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  8.  20
    Formal Methods. An Introduction to Symbolic Logic and to the Study of Effective Operations in Arithmetic and Logic. Evert W. Beth. [REVIEW]Alan Rose - 1966 - Philosophy of Science 33 (1):84-85.
  9.  15
    Formal and Symbolic Factors in the Art Styles of Primitive Cultures.Herschel B. Chipp - 1960 - Journal of Aesthetics and Art Criticism 19 (2):153-166.
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  10. Formal Methods: An Introduction to Symbolic Logic and to the Study of Effective Operations in Arithmetic and Logic.Evert W. Beth - 1966 - Philosophy of Science 33 (1):84-85.
     
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  11.  4
    Formal Methods: An Introduction to Symbolic Logic and to the Study of Effective Operations in Arithmetic and Logic.Leon Henkin - 1962 - Journal of Symbolic Logic 30 (2):235-236.
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  12. The Symbol Grounding Problem.Stevan Harnad - 1990 - Physica D 42:335-346.
    There has been much discussion recently about the scope and limits of purely symbolic models of the mind and about the proper role of connectionism in cognitive modeling. This paper describes the symbol grounding problem : How can the semantic interpretation of a formal symbol system be made intrinsic to the system, rather than just parasitic on the meanings in our heads? How can the meanings of the meaningless symbol tokens, manipulated solely on the basis of (...)
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  13. Mathematical Symbols as Epistemic Actions.Johan De Smedt & Helen De Cruz - 2013 - Synthese 190 (1):3-19.
    Recent experimental evidence from developmental psychology and cognitive neuroscience indicates that humans are equipped with unlearned elementary mathematical skills. However, formal mathematics has properties that cannot be reduced to these elementary cognitive capacities. The question then arises how human beings cognitively deal with more advanced mathematical ideas. This paper draws on the extended mind thesis to suggest that mathematical symbols enable us to delegate some mathematical operations to the external environment. In this view, mathematical symbols are not only used (...)
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  14.  26
    An Abstract Property of Formalized Languages Which Contain Hilberts Ε-Symbol.Albert Leisenring - 1968 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 14 (6):81-92.
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  15. A Formalization of Kant’s Transcendental Logic.Theodora Achourioti & Michiel van Lambalgen - 2011 - Review of Symbolic Logic 4 (2):254-289.
    Although Kant (1998) envisaged a prominent role for logic in the argumentative structure of his Critique of Pure Reason, logicians and philosophers have generally judged Kantgeneralformaltranscendental logics is a logic in the strict formal sense, albeit with a semantics and a definition of validity that are vastly more complex than that of first-order logic. The main technical application of the formalism developed here is a formal proof that Kants logic is after all a distinguished subsystem of first-order logic, (...)
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  16. Review: Evert W. Beth, Formal Methods. An Introduction to Symbolic Logic and to the Study of Effective Operations in Arithmetic and Logic. [REVIEW]Leon Henkin - 1965 - Journal of Symbolic Logic 30 (2):235-236.
  17.  40
    A Formalization of Set Theory Without Variables.Alfred Tarski & Steven R. Givant - 1987 - American Mathematical Soc..
    Completed in 1983, this work culminates nearly half a century of the late Alfred Tarski's foundational studies in logic, mathematics, and the philosophy of science. Written in collaboration with Steven Givant, the book appeals to a very broad audience, and requires only a familiarity with first-order logic. It is of great interest to logicians and mathematicians interested in the foundations of mathematics, but also to philosophers interested in logic, semantics, algebraic logic, or the methodology of the deductive sciences, and to (...)
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  18.  13
    Richard M. Martin. A Formalization of Inductive Logic. The Journal of Symbolic Logic, Vol. 23 No. 3 , Pp. 251–256.Herbert G. Bohnert - 1969 - Journal of Symbolic Logic 34 (1):137-138.
  19.  13
    Beth Evert W.. Formal Methods. An Introduction to Symbolic Logic and to the Study of Effective Operations in Arithmetic and Logic. Synthese Library. D. Reidel Publishing Company, Dordrecht, Holland, and Gordon and Breach, New York, 1962, XIV + 170 Pp. [REVIEW]Leon Henkin - 1965 - Journal of Symbolic Logic 30 (2):235-236.
  20. Symbolic Arithmetic Knowledge Without Instruction.Camilla K. Gilmore, Shannon E. McCarthy & Elizabeth S. Spelke - unknown
    Symbolic arithmetic is fundamental to science, technology and economics, but its acquisition by children typically requires years of effort, instruction and drill1,2. When adults perform mental arithmetic, they activate nonsymbolic, approximate number representations3,4, and their performance suffers if this nonsymbolic system is impaired5. Nonsymbolic number representations also allow adults, children, and even infants to add or subtract pairs of dot arrays and to compare the resulting sum or difference to a third array, provided that only approximate accuracy is required6–10. Here (...)
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  21.  2
    An Abstract Property of Formalized Languages Which Contain Hilberts Ε‐Symbol.Albert Leisenring - 1968 - Mathematical Logic Quarterly 14 (6):81-92.
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  22.  61
    Formalization of Logic.Rudolf Carnap - 1943 - Cambridge: Mass., Harvard University Press.
  23.  8
    Symbolic Logic: Syntax, Semantics, and Proof.David Agler - 2012 - Lanham, MD, USA: Rowman & Littlefield Publishers.
    Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs.
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  24. Formal Logic.Augustus De Morgan - 1926 - Open Court.
    This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and (...)
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  25. A Formal System for Euclid’s Elements.Jeremy Avigad, Edward Dean & John Mumma - 2009 - Review of Symbolic Logic 2 (4):700--768.
    We present a formal system, E, which provides a faithful model of the proofs in Euclid's Elements, including the use of diagrammatic reasoning.
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  26. Formal Logic: Its Scope and Limits.Richard C. Jeffrey - 1967 - New York, NY, USA: Hackett.
    This brief paperback is designed for symbolic/formal logic courses. It features the tree method proof system developed by Jeffrey. The new edition contains many more examples and exercises and is reorganized for greater accessibility.
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  27. Putting Logic in its Place: Formal Constraints on Rational Belief.David Christensen - 2004 - Oxford, England: Oxford University Press.
    What role, if any, does formal logic play in characterizing epistemically rational belief? Traditionally, belief is seen in a binary way - either one believes a proposition, or one doesn't. Given this picture, it is attractive to impose certain deductive constraints on rational belief: that one's beliefs be logically consistent, and that one believe the logical consequences of one's beliefs. A less popular picture sees belief as a graded phenomenon.
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  28.  41
    Logic: Techniques of Formal Reasoning.Donald Kalish, Richard Montague & Gary Mar - 1964 - New York, NY, USA: Harcourt, Brace, and Jovanovich.
    Logic: Techniques of Formal Reasoning, 2/e is an introductory volume that teaches students to recognize and construct correct deductions. It takes students through all logical steps--from premise to conclusion--and presents appropriate symbols and terms, while giving examples to clarify principles. Logic, 2/e uses models to establish the invalidity of arguments, and includes exercise sets throughout, ranging from easy to challenging. Solutions are provided to selected exercises, and historical remarks discuss major contributions to the theories covered.
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  29.  13
    Dennis F. Cudia and Wilson E. Singletary. The Post Correspondence Problem. The Journal of Symbolic Logic, Vol. 33 , Pp. 418–430. - Dennis F. Cudia and Wilson E. Singletary. Degrees of Unsolvability in Formal Grammars. Journal of the Association for Computing Machinery, Vol. 15 , Pp. 680–692. [REVIEW]Ann Yasuhara - 1974 - Journal of Symbolic Logic 39 (1):185-186.
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  30.  15
    Natural Formalization: Deriving the Cantor-Bernstein Theorem in Zf.Wilfried Sieg & Patrick Walsh - forthcoming - Review of Symbolic Logic:1-44.
    Natural Formalization proposes a concrete way of expanding proof theory from the meta-mathematical investigation of formal theories to an examination of “the concept of the specifically mathematical proof.” Formal proofs play a role for this examination in as much as they reflect the essential structure and systematic construction of mathematical proofs. We emphasize three crucial features of our formal inference mechanism: (1) the underlying logical calculus is built for reasoning with gaps and for providing strategic directions, (2) (...)
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  31. Symbols Are Not Uniquely Human.Sidarta Ribeiro, Angelo Loula, Ivan Araújo, Ricardo Gudwin & Joao Queiroz - 2006 - Biosystems 90 (1):263-272.
    Modern semiotics is a branch of logics that formally defines symbol-based communication. In recent years, the semiotic classification of signs has been invoked to support the notion that symbols are uniquely human. Here we show that alarm-calls such as those used by African vervet monkeys (Cercopithecus aethiops), logically satisfy the semiotic definition of symbol. We also show that the acquisition of vocal symbols in vervet monkeys can be successfully simulated by a computer program based on minimal semiotic and (...)
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  32. Logic: Techniques of Formal Reasoning.Donald Kalish - 1964 - New York: Harcourt, Brace & World.
    Logic: Techniques of Formal Reasoning, 2/e is an introductory volume that teaches students to recognize and construct correct deductions. It takes students through all logical steps--from premise to conclusion--and presents appropriate symbols and terms, while giving examples to clarify principles. Logic, 2/e uses models to establish the invalidity of arguments, and includes exercise sets throughout, ranging from easy to challenging. Solutions are provided to selected exercises, and historical remarks discuss major contributions to the theories covered.
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  33.  17
    Logic: Techniques of Formal Reasoning.Donald Kalish, Richard Montague & Gary Mar - 1964 - New York, NY, USA: Oxford University Press USA.
    Logic: Techniques of Formal Reasoning, 2/e is an introductory volume that teaches students to recognize and construct correct deductions. It takes students through all logical steps--from premise to conclusion--and presents appropriate symbols and terms, while giving examples to clarify principles. Logic, 2/e uses models to establish the invalidity of arguments, and includes exercise sets throughout, ranging from easy to challenging. Solutions are provided to selected exercises, and historical remarks discuss major contributions to the theories covered.
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  34.  5
    The Conscious Deformation Of The Poetry At The Formal Level With Visual Symbols Alluding To 'Cyclical Continuity' And 'Change And Transformation' At The Ontological Dimension: Formal Deviations In The Divan Poetry As A Field Of Stylistic Foregroundings.Özge Özteki̇n - 2012 - Journal of Turkish Studies 7:2139-2155.
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  35. Formal Methods.Richard Pettigrew - manuscript
    (This is for the Cambridge Handbook of Analytic Philosophy, edited by Marcus Rossberg) In this handbook entry, I survey the different ways in which formal mathematical methods have been applied to philosophical questions throughout the history of analytic philosophy. I consider: formalization in symbolic logic, with examples such as Aquinas’ third way and Anselm’s ontological argument; Bayesian confirmation theory, with examples such as the fine-tuning argument for God and the paradox of the ravens; foundations of mathematics, with examples such (...)
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  36. Formalizing Euclid’s First Axiom.John Corcoran - 2014 - Bulletin of Symbolic Logic 20 (3):404-405.
    Formalizing Euclid’s first axiom. Bulletin of Symbolic Logic. 20 (2014) 404–5. (Coauthor: Daniel Novotný) -/- Euclid [fl. 300 BCE] divides his basic principles into what came to be called ‘postulates’ and ‘axioms’—two words that are synonyms today but which are commonly used to translate Greek words meant by Euclid as contrasting terms. -/- Euclid’s postulates are specifically geometric: they concern geometric magnitudes, shapes, figures, etc.—nothing else. The first: “to draw a line from any point to any point”; the last: the (...)
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  37.  24
    Dicent Symbols in Non-Human Semiotic Processes.João Queiroz - 2012 - Biosemiotics 5 (3):319-329.
    Against the view that symbol-based semiosis is a human cognitive uniqueness, we have argued that non-human primates such as African vervet monkeys possess symbolic competence, as formally defined by Charles S. Peirce. Here I develop this argument by showing that the equivocal role ascribed to symbols by “folk semiotics” stems from an incomplete application of the Peircean logical framework for the classification of signs, which describes three kinds of symbols: rheme, dicent and argument. In an attempt to advance in (...)
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  38. Formalization in Philosophy.Sven Ove Hansson - 2000 - Bulletin of Symbolic Logic 6 (2):162-175.
    The advantages and disadvantages of formalization in philosophy are summarized. It is concluded that formalized philosophy is an endangered speciality that needs to be revitalized and to increase its interactions with non-formalized philosophy. The enigmatic style that is common in philosophical logic must give way to explicit discussions of the problematic relationship between formal models and the philosophical concepts and issues that motivated their development.
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  39.  20
    Set Theory Influenced Logic, Both Through its Semantics, by Expanding the Possible Models of Various Theories and by the Formal Definition of a Model; and Through its Syntax, by Allowing for Logical Languages in Which Formulas Can Be Infinite in Length or in Which the Number of Symbols is Uncountable.Truth Definitions - 1998 - Bulletin of Symbolic Logic 4 (3).
  40.  17
    Formal Representations of Dependence and Groundedness.Edoardo Rivello - 2020 - Review of Symbolic Logic 13 (1):105-140.
    We study, in an abstract and general framework, formal representations of dependence and groundedness which occur in semantic theories of truth. Our goals are: (a) to relate the different ways in which groundedness is defined according to the way dependence is represented; and (b) to represent different notions of dependence as instances of a suitable generalisation of the mathematical notion of functional dependence.
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  41.  11
    M. H. Löb. Concatenation as Basis for a Complete System of Arithmetic. The Journal of Symbolic Logic, Vol. 18 , Pp. 1–6. - M. H. Löb. Formal Systems of Constructive Mathematics. The Journal of Symbolic Logic, Vol. 21 , Pp. 63–75. [REVIEW]Charles Parsons - 1970 - Journal of Symbolic Logic 35 (1):150-150.
  42.  14
    E. J. Lemmon. An Extension Algebra and the Modal System T.Notre Dame Journal of Formal Logic, Vol. 1 , Pp. 3–12. - E. J. Lemmon. Algebraic Semantics for Modal Logics.The Journal of Symbolic Logic, Vol. 31 , Pp. 46–65; Pp. 191–218. [REVIEW]David Makinson - 1970 - Journal of Symbolic Logic 35 (1):136-137.
    Review of the paper mentioned in the title.
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  43.  16
    Robert E. Clay. A Simple Proof of Functional Completeness in Many-Valued Logics Based on Łukasiewicz's C and N. Notre Dame Journal of Formal Logic, Vol. 3 , Pp. 114–117. - Robert E. Clay. Note on Stupecki T-Functions. The Journal of Symbolic Logic, Vol. 27 No. 1 , Pp. 53–54. [REVIEW]Arto Salomaa - 1965 - Journal of Symbolic Logic 30 (1):105.
  44.  24
    Formal Semantics and Logic.Bas C. Van Fraassen - 1971 - New York: Macmillan.
  45.  18
    Arnon Avron. Relevance and Paraconsistency—a New Approach. The Journal of Symbolic Logic, Vol. 55 , Pp. 707–732. - Arnon Avron. Relevance and Paraconsistency—a New Approach. Part II: The Formal Systems. Notre Dame Journal of Formal Logic, Vol. 31 , Pp. 169–202. - Arnon Avron. Relevance and Paraconsistency—a New Approach. Part III: Cut-Free Gentzen-Type Systems. Notre Dame Journal of Formal Logic, Vol. 32 , Pp. 147–160. [REVIEW]Alasdair Urquhart - 1992 - Journal of Symbolic Logic 57 (4):1481-1482.
  46. James H. Schmerl. Peano Models with Many Generic Classes. Pacific Journal of Mathematics, Vol. 43 (1973), Pp. 523–536. - James H. Schmerl. Correction To: “Peano Models with Many Generic Classes”. Pacific Journal of Mathematics, Vol. 92 (1981), No. 1, Pp. 195–198. - James H. Schmerl. Recursively Saturated, Rather Classless Models of Peano Arithmetic. Logic Year 1979–80. Recursively Saturated, Rather Classless Models of Peano Arithmetic. Logic Year 1979–80 (Proceedings, Seminars, and Conferences in Mathematical Logic, University of Connecticut, Storrs, Connecticut, 1979/80). Edited by M. Lerman, J. H. Schmerl, and R. I. Soare, Lecture Notes in Mathematics, Vol. 859. Springer, Berlin, Pp. 268–282. - James H. Schmerl. Recursively Saturatedmodels Generated by Indiscernibles. Notre Dane Journal of Formal Logic, Vol. 26 (1985), No. 1, Pp. 99–105. - James H. Schmerl. Large Resplendent Models Generated by Indiscernibles. The Journal of Symbolic Logic, Vol. 54 (1989), No. 4, Pp. 1382–1388. - Jam. [REVIEW]Roman Kossak - 2009 - Bulletin of Symbolic Logic 15 (2):222-227.
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  47.  77
    Incomplete Symbols — Definite Descriptions Revisited.Norbert Gratzl - 2015 - Journal of Philosophical Logic 44 (5):489-506.
    We investigate incomplete symbols, i.e. definite descriptions with scope-operators. Russell famously introduced definite descriptions by contextual definitions; in this article definite descriptions are introduced by rules in a specific calculus that is very well suited for proof-theoretic investigations. That is to say, the phrase ‘incomplete symbols’ is formally interpreted as to the existence of an elimination procedure. The last section offers semantical tools for interpreting the phrase ‘no meaning in isolation’ in a formal way.
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  48.  11
    Andreas Blass and Saharon Shelah. Ultrafilters with Small Generating Sets. Israel Journal of Mathematics, Vol. 65 , Pp. 259–271. - Andreas Blass and Saharon Shelah. There May Be Simple - and -Points and the Rudin–Keisler Ordering May Be Downward Directed. Annals of Pure and Applied Logic, Vol. 33 , Pp. 213–243. - Andreas Blass. Near Coherence of Filters. II: Applications to Operator Ideals, the Stone–Čech Remainder of a Half-Line, Order Ideals of Sequences, and the Slenderness of Groups. Transactions of the American Mathematical Society, Vol. 300 , Pp. 557–581. - Andreas Blass and Saharon Shelah. Near Coherence of Filters III: A Simplified Consistency Proof. Notre Dame Journal of Formal Logic, Vol. 30 , Pp. 530–538. - Andreas Blass and Claude Laflamme. Consistency Results About Filters and the Number of Inequivalent Growth Types. The Journal of Symbolic Logic, Vol. 54 , Pp. 50–56. - Andreas Blass. Applications of Superperfect Forcing and its Relatives. Set Theory and its Applications. [REVIEW]Peter J. Nyikos - 1992 - Journal of Symbolic Logic 57 (2):763-766.
  49.  36
    On Symbol Grounding.W. K. Yeap - 1993 - Idealistic Studies 23 (2/3):179-185.
    The symbol grounding problem is concerned with the question of how the knowledge used in AI programs, expressed as tokens in one form or another or simply symbols, could be grounded to the outside world. By grounding the symbols, it is meant that the system will know the actual objects, events, or states of affairs in the world to which each symbol refers and thus be worldly-wise. Solving this problem, it was hoped, would enable the program to understand (...)
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  50.  30
    Evert W. Beth. Preface. English Translation of XL 256. Science a Road to Wisdom, by Evert W. Beth, D. Reidel Publishing Company, Dordrecht, Holland, 1968, Pp. XI–XIII. - Evert W. Beth. Science as a Cultural Factor. English Translation of XL 256. Science a Road to Wisdom, by Evert W. Beth, D. Reidel Publishing Company, Dordrecht, Holland, 1968, Pp. 1–10. - Evert W. Beth. Natural Science, Philosophy, and Persuasion. English Translation of XL 256. Science a Road to Wisdom, by Evert W. Beth, D. Reidel Publishing Company, Dordrecht, Holland, 1968, Pp. 11–20. - Evert W. Beth. Scientific Philosophy: Its Aims and Means. English Translation of XL 256. Science a Road to Wisdom, by Evert W. Beth, D. Reidel Publishing Company, Dordrecht, Holland, 1968, Pp. 29–34. - Evert W. Beth. Symbolic Logic as a Continuation of Traditional Formal Logic. English Translation of XL 256. Science a Road to Wisdom, by Evert W. Beth, D. Reidel Publishing Company, Dordrecht, Holland, 1968, Pp. 42–61. - Evert W. Beth. [REVIEW]H. L. Berghel - 1975 - Journal of Symbolic Logic 40 (2):255-298.
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