Switch to: References

Citations of:

The foundations of mathematics

Amsterdam,: North-Holland Pub. Co. (1959)

Add citations

You must login to add citations.
  1. Logic and Metalogic: a Historical Sketch.Jan Woleński - 2024 - Studia Humana 13 (1):39-44.
    This paper briefly discusses the relations between logic and metalogic in history. Metalogic is understood as a reflection on logic in its various senses, particularly sensu stricto (formal, mathematical) and sensu largo (formal logic plus semantic plus methodology of science). It is shown that metalogic in its contemporary understanding arose after mathematical logic had become a mature discipline. Special passage is devoted to metalogic in Poland. The last part of the paper discussed so-called logocentric predicament.
    Download  
     
    Export citation  
     
    Bookmark  
  • Systemic materialism.Gustavo E. Romero - 2022 - In Gustavo E. Romero, Javier Pérez-Jara & Lino Camprubí (eds.), Contemporary Materialism: Its Ontology and Epistemology. Springer. pp. 79-107.
    I present a condensed exposé of systemic materialism, a synthesis of materialism and systemism originally proposed by Mario Bunge. Matter is identified with mutability of propertied particulars, and a concrete or material system is defined as an object with composition, structure, mechanism, and environment. I review different aspects of this ontology, and discuss some of its implications for epistemology, ethics, and aesthetics. I also try to identify some problems of this view and offer some ways to overcome the difficulties. I (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • (1 other version)The Significance of Evidence-based Reasoning in Mathematics, Mathematics Education, Philosophy, and the Natural Sciences (2nd edition).Bhupinder Singh Anand - 2024 - Mumbai: DBA Publishing (Second Edition).
    In this multi-disciplinary investigation we show how an evidence-based perspective of quantification---in terms of algorithmic verifiability and algorithmic computability---admits evidence-based definitions of well-definedness and effective computability, which yield two unarguably constructive interpretations of the first-order Peano Arithmetic PA---over the structure N of the natural numbers---that are complementary, not contradictory. The first yields the weak, standard, interpretation of PA over N, which is well-defined with respect to assignments of algorithmically verifiable Tarskian truth values to the formulas of PA under the interpretation. (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • (1 other version)The Significance of Evidence-based Reasoning for Mathematics, Mathematics Education, Philosophy and the Natural Sciences.Bhupinder Singh Anand - forthcoming
    In this multi-disciplinary investigation we show how an evidence-based perspective of quantification---in terms of algorithmic verifiability and algorithmic computability---admits evidence-based definitions of well-definedness and effective computability, which yield two unarguably constructive interpretations of the first-order Peano Arithmetic PA---over the structure N of the natural numbers---that are complementary, not contradictory. The first yields the weak, standard, interpretation of PA over N, which is well-defined with respect to assignments of algorithmically verifiable Tarskian truth values to the formulas of PA under the interpretation. (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Axiomatic Natural Philosophy and the Emergence of Biology as a Science.Hein van den Berg & Boris Demarest - 2020 - Journal of the History of Biology 53 (3):379-422.
    Ernst Mayr argued that the emergence of biology as a special science in the early nineteenth century was possible due to the demise of the mathematical model of science and its insistence on demonstrative knowledge. More recently, John Zammito has claimed that the rise of biology as a special science was due to a distinctive experimental, anti-metaphysical, anti-mathematical, and anti-rationalist strand of thought coming from outside of Germany. In this paper we argue that this narrative neglects the important role played (...)
    Download  
     
    Export citation  
     
    Bookmark   8 citations  
  • Fading Foundations: Probability and the Regress Problem.Jeanne Peijnenburg - 2017 - Cham, Switzerland: Springer. Edited by Jeanne Peijnenburg.
    This Open Access book addresses the age-old problem of infinite regresses in epistemology. How can we ever come to know something if knowing requires having good reasons, and reasons can only be good if they are backed by good reasons in turn? The problem has puzzled philosophers ever since antiquity, giving rise to what is often called Agrippa's Trilemma. The current volume approaches the old problem in a provocative and thoroughly contemporary way. Taking seriously the idea that good reasons are (...)
    Download  
     
    Export citation  
     
    Bookmark   15 citations  
  • Enciclopédia de Termos Lógico-Filosóficos.João Miguel Biscaia Branquinho, Desidério Murcho & Nelson Gonçalves Gomes (eds.) - 2006 - São Paulo, SP, Brasil: Martins Fontes.
    Esta enciclopédia abrange, de uma forma introdutória mas desejavelmente rigorosa, uma diversidade de conceitos, temas, problemas, argumentos e teorias localizados numa área relativamente recente de estudos, os quais tem sido habitual qualificar como «estudos lógico-filosóficos». De uma forma apropriadamente genérica, e apesar de o território teórico abrangido ser extenso e de contornos por vezes difusos, podemos dizer que na área se investiga um conjunto de questões fundamentais acerca da natureza da linguagem, da mente, da cognição e do raciocínio humanos, bem (...)
    Download  
     
    Export citation  
     
    Bookmark   7 citations  
  • Three Dogmas of First-Order Logic and some Evidence-based Consequences for Constructive Mathematics of differentiating between Hilbertian Theism, Brouwerian Atheism and Finitary Agnosticism.Bhupinder Singh Anand - manuscript
    We show how removing faith-based beliefs in current philosophies of classical and constructive mathematics admits formal, evidence-based, definitions of constructive mathematics; of a constructively well-defined logic of a formal mathematical language; and of a constructively well-defined model of such a language. -/- We argue that, from an evidence-based perspective, classical approaches which follow Hilbert's formal definitions of quantification can be labelled `theistic'; whilst constructive approaches based on Brouwer's philosophy of Intuitionism can be labelled `atheistic'. -/- We then adopt what may (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • The Truth Assignments That Differentiate Human Reasoning From Mechanistic Reasoning: The Evidence-Based Argument for Lucas' Goedelian Thesis.Bhupinder Singh Anand - 2016 - Cognitive Systems Research 40:35-45.
    We consider the argument that Tarski's classic definitions permit an intelligence---whether human or mechanistic---to admit finitary evidence-based definitions of the satisfaction and truth of the atomic formulas of the first-order Peano Arithmetic PA over the domain N of the natural numbers in two, hitherto unsuspected and essentially different, ways: (1) in terms of classical algorithmic verifiabilty; and (2) in terms of finitary algorithmic computability. We then show that the two definitions correspond to two distinctly different assignments of satisfaction and truth (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • The foundations of mathematics from a historical viewpoint.Antonino Drago - 2015 - Epistemologia 38 (1):133-151.
    A new hypothesis on the basic features characterising the Foundations of Mathematics is suggested. By means of them the entire historical development of Mathematics before the 20th Century is summarised through a table. Also the several programs, launched around the year 1900, on the Foundations of Mathematics are characterised by a corresponding table. The major difficulty that these programs met was to recognize an alternative to the basic feature of the deductive organization of a theory - more precisely, to Hilbert’s (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • On the syntax of logic and set theory.Lucius T. Schoenbaum - 2010 - Review of Symbolic Logic 3 (4):568-599.
    We introduce an extension of the propositional calculus to include abstracts of predicates and quantifiers, employing a single rule along with a novel comprehension schema and a principle of extensionality, which are substituted for the Bernays postulates for quantifiers and the comprehension schemata of ZF and other set theories. We prove that it is consistent in any finite Boolean subset lattice. We investigate the antinomies of Russell, Cantor, Burali-Forti, and others, and discuss the relationship of the system to other set-theoretic (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • A multimodal logic for reasoning about complementarity.Ivo Düntsch & Beata Konikowska - 2000 - Journal of Applied Non-Classical Logics 10 (3-4):273-301.
    ABSTRACT Two objects o1, o2 of an information system are said to be complementary with respect to attribute a if α(o1) = -α(o2), where α(o) is the set of values of attribute a assigned to o. They are said to be complementary with respect to a set of attributes A if they are complementary with respect to each attribute α ε A. A multi-modal logical language for reasoning about complementarity relations is presented, with modalities [A] and ?A? parameterised by subsets (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • (1 other version)The analytic-synthetic distinction and the classical model of science: Kant, Bolzano and Frege.Willem R. De Jong - 2010 - Synthese 174 (2):237 - 261.
    This paper concentrates on some aspects of the history of the analyticsynthetic distinction from Kant to Bolzano and Frege. This history evinces considerable continuity but also some important discontinuities. The analytic-synthetic distinction has to be seen in the first place in relation to a science, i.e. an ordered system of cognition. Looking especially to the place and role of logic it will be argued that Kant, Bolzano and Frege each developed the analytic-synthetic distinction within the same conception of scientific rationality, (...)
    Download  
     
    Export citation  
     
    Bookmark   11 citations  
  • Wogegen wandte sich Husserl 1891?: Ein Beitrag zur neueren Rezeption des Verhältnisses von Husserl und Frege.Deodáth Zuh - 2012 - Husserl Studies 28 (2):95-120.
    Eine vollständige Darstellung von Edmund Husserls Verhältnis zu Gottlob Frege steht noch aus, so dass es nicht verwundert, einige Missverständnisse, dieses Verhältnis betreffend, im Umlauf zu finden. Selbst scheinbar längst überwundene systematische Dogmen tauchen wieder auf, so z.B. die Auffassung, dass Husserl nicht nur entscheidend von Gottlob Frege beeinflusst wurde, sondern darüber hinaus auch seine schärfste Frege-Kritik 1891 zurückgenommen habe. Mein Beitrag enthält eine überwiegend historisch vorgehende Entgegnung auf solche fälschlich vertretenen Ansichten wie sie sich auch in dem neu erschienenen (...)
    Download  
     
    Export citation  
     
    Bookmark   8 citations  
  • Variations on da Costa C systems and dual-intuitionistic logics I. analyses of cω and CCω.Richard Sylvan - 1990 - Studia Logica 49 (1):47-65.
    Da Costa's C systems are surveyed and motivated, and significant failings of the systems are indicated. Variations are then made on these systems in an attempt to surmount their defects and limitations. The main system to emerge from this effort, system CC , is investigated in some detail, and dual-intuitionistic semantical analyses are developed for it and surrounding systems. These semantics are then adapted for the original C systems, first in a rather unilluminating relational fashion, subsequently in a more illuminating (...)
    Download  
     
    Export citation  
     
    Bookmark   15 citations  
  • Relevant analytic tableaux.Michael A. McRobbie & Nuel D. Belnap - 1979 - Studia Logica 38 (2):187 - 200.
    Tableau formulations are given for the relevance logics E (Entailment), R (Relevant implication) and RM (Mingle). Proofs of equivalence to modus-ponens-based formulations are vialeft-handed Gentzen sequenzen-kalküle. The tableau formulations depend on a detailed analysis of the structure of tableau rules, leading to certain global requirements. Relevance is caught by the requirement that each node must be used; modality is caught by the requirement that only certain rules can cross a barrier. Open problems are discussed.
    Download  
     
    Export citation  
     
    Bookmark   11 citations  
  • Unifying foundations – to be seen in the phenomenon of language.Lars Löfgren - 2004 - Foundations of Science 9 (2):135-189.
    Scientific knowledge develops in an increasingly fragmentary way.A multitude of scientific disciplines branch out. Curiosity for thisdevelopment leads into quests for a unifying understanding. To a certain extent, foundational studies provide such unification. There is a tendency, however, also of a fragmentary growth of foundational studies, like in a multitude of disciplinaryfoundations. We suggest to look at the foundational problem, not primarily as a search for foundations for one discipline in another, as in some reductionist approach, but as a steady (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Aristotle's demonstrative logic.John Corcoran - 2009 - History and Philosophy of Logic 30 (1):1-20.
    Demonstrative logic, the study of demonstration as opposed to persuasion, is the subject of Aristotle's two-volume Analytics. Many examples are geometrical. Demonstration produces knowledge (of the truth of propositions). Persuasion merely produces opinion. Aristotle presented a general truth-and-consequence conception of demonstration meant to apply to all demonstrations. According to him, a demonstration, which normally proves a conclusion not previously known to be true, is an extended argumentation beginning with premises known to be truths and containing a chain of reasoning showing (...)
    Download  
     
    Export citation  
     
    Bookmark   18 citations  
  • The Completeness of Free Logic.B. C. van Fraassen - 1966 - Mathematical Logic Quarterly 12 (1):219-234.
    Download  
     
    Export citation  
     
    Bookmark   18 citations  
  • EINSTEIN’S 1905 ‘REVOLUTIONARY’ PAPER ON QUANTA AS A MANIFEST AND DETAILED EXAMPLE OF A ‘PRINCIPLE THEORY’.Drago Antonino - 2014 - Advances in Historical Studies (No.3).
    In the last times some scholars tried to characterize Einstein’s distinction between ‘constructive’ – i.e. deductive - theories and ‘principle’ theories, the latter ones being preferred by Einstein. Here this distinction is qualified by an accurate inspection on past physical theories. Some previous theories are surely non-deductive theories. By a mutual comparison of them a set of features - mainly the arguing according to non-classical logic - are extracted. They manifest a new ideal model of organising a theory. Einstein’s paper (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • On the notion of effectiveness.Stewart Shapiro - 1980 - History and Philosophy of Logic 1 (1-2):209-230.
    This paper focuses on two notions of effectiveness which are not treated in detail elsewhere. Unlike the standard computability notion, which is a property of functions themselves, both notions of effectiveness are properties of interpreted linguistic presentations of functions. It is shown that effectiveness is epistemically at least as basic as computability in the sense that decisions about computability normally involve judgments concerning effectiveness. There are many occurrences of the present notions in the writings of logicians; moreover, consideration of these (...)
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  • Interpolation theorems, lower Bounds for proof systems, and independence results for bounded arithmetic.Jan Krajíček - 1997 - Journal of Symbolic Logic 62 (2):457-486.
    A proof of the (propositional) Craig interpolation theorem for cut-free sequent calculus yields that a sequent with a cut-free proof (or with a proof with cut-formulas of restricted form; in particular, with only analytic cuts) with k inferences has an interpolant whose circuit-size is at most k. We give a new proof of the interpolation theorem based on a communication complexity approach which allows a similar estimate for a larger class of proofs. We derive from it several corollaries: (1) Feasible (...)
    Download  
     
    Export citation  
     
    Bookmark   24 citations  
  • Inter-level relations in computer science, biology, and psychology.Fred Boogerd, Frank Bruggeman, Catholijn Jonker, Huib Looren de Jong, Allard Tamminga, Jan Treur, Hans Westerhoff & Wouter Wijngaards - 2002 - Philosophical Psychology 15 (4):463–471.
    Investigations into inter-level relations in computer science, biology and psychology call for an *empirical* turn in the philosophy of mind. Rather than concentrate on *a priori* discussions of inter-level relations between 'completed' sciences, a case is made for the actual study of the way inter-level relations grow out of the developing sciences. Thus, philosophical inquiries will be made more relevant to the sciences, and, more importantly, philosophical accounts of inter-level relations will be testable by confronting them with what really happens (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • The logic of Brouwer and Heyting.Joan Rand Moschovakis - 2009 - In Dov Gabbay (ed.), The Handbook of the History of Logic. Elsevier. pp. 77-125.
    Download  
     
    Export citation  
     
    Bookmark  
  • On Meaningfulness and Truth.Brian Edison McDonald - 2000 - Journal of Philosophical Logic 29 (5):433 - 482.
    We show how to construct certain " $[Unrepresented Character]_{M,T}$ -type" interpreted languages, with each such language containing meaningfulness and truth predicates which apply to itself. These languages are comparable in expressive power to the $[Unrepresented Character]_{T}$ -type, truth-theoretic languages first considered by. Kripke, yet each of our $[Unrepresented Character]_{M,T}$ -type languages possesses the additional advantage that, within it, the meaninglessness of any given meaningless expression can itself be meaningfully expressed. One therefore has, for example, the object level truth (and meaningfulness) (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Category theory and concrete universals.David P. Ellerman - 1988 - Erkenntnis 28 (3):409 - 429.
    Download  
     
    Export citation  
     
    Bookmark   19 citations  
  • On a theorem of Feferman.Michael Detlefsen - 1980 - Philosophical Studies 38 (2):129 - 140.
    In this paper I argue that Feferman's theorem does not signify the existence of skeptic-satisfying consistency proofs. However, my argument for this is much different than other arguments (most particularly Resnik's) for the same claim. The argument that I give arises form an analysis of the notion of 'expression', according to which the specific character of that notion is seen as varying from one context of application (of a result of arithmetic metamathematics) to another.
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • A modern elaboration of the ramified theory of types.Twan Laan & Rob Nederpelt - 1996 - Studia Logica 57 (2-3):243 - 278.
    The paper first formalizes the ramified type theory as (informally) described in the Principia Mathematica [32]. This formalization is close to the ideas of the Principia, but also meets contemporary requirements on formality and accuracy, and therefore is a new supply to the known literature on the Principia (like [25], [19], [6] and [7]).As an alternative, notions from the ramified type theory are expressed in a lambda calculus style. This situates the type system of Russell and Whitehead in a modern (...)
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • Descartes on Mathematical Reasoning and the Truth Principle.John H. Dreher - 2020 - Open Journal of Philosophy 10 (3):388-410.
    Download  
     
    Export citation  
     
    Bookmark  
  • A Unification of Two Approaches to Vagueness: The Boolean Many-Valued Approach and the Modal-Precisificational Approach.Ken Akiba - 2017 - Journal of Philosophical Logic 46 (4):419-441.
    The Boolean many-valued approach to vagueness is similar to the infinite-valued approach embraced by fuzzy logic in the respect in which both approaches seek to solve the problems of vagueness by assigning to the relevant sentences many values between falsity and truth, but while the fuzzy-logic approach postulates linearly-ordered values between 0 and 1, the Boolean approach assigns to sentences values in a many-element complete Boolean algebra. On the modal-precisificational approach represented by Kit Fine, if a sentence is indeterminate in (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • (1 other version)Immanuel Kant: Kritik der reinen Vernunft.Georg Mohr & Marcus Willaschek (eds.) - 2024 - De Gruyter.
    Der Kommentar zur Kritik der reinen Vernunft bietet eine textnahe Erschließung der zentralen Begriffe, Thesen und Argumentationsgänge von Kants Hauptwerk auf aktuellem Forschungsstand. Es ist der erste Kommentar zur KrV, der den gesamten Text in der Fassung der ersten und zweiten Auflage gleichmäßig und lückenlos berücksichtigt. Davon profitieren vor allem die „Transzendentale Dialektik“ und die „Methodenlehre“, die in früheren Gesamtkommentaren meist nicht hinreichend berücksichtigt worden sind. Die Beiträge wurden nach einheitlichen Richtlinien verfasst, wobei unterschiedliche Herangehensweisen und Interpretationsansätze zur Geltung kommen. (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Tableaux and Dual Tableaux: Transformation of Proofs.Joanna Golińska-Pilarek & Ewa Orłowska - 2007 - Studia Logica 85 (3):283-302.
    We present two proof systems for first-order logic with identity and without function symbols. The first one is an extension of the Rasiowa-Sikorski system with the rules for identity. This system is a validity checker. The rules of this system preserve and reflect validity of disjunctions of their premises and conclusions. The other is a Tableau system, which is an unsatisfiability checker. Its rules preserve and reflect unsatisfiability of conjunctions of their premises and conclusions. We show that the two systems (...)
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • Nonsense logics and their algebraic properties.Victor K. Finn & Revaz Grigolia - 1993 - Theoria 59 (1-3):207-273.
    Download  
     
    Export citation  
     
    Bookmark   12 citations  
  • Paradoxes of intensionality.Dustin Tucker & Richmond H. Thomason - 2011 - Review of Symbolic Logic 4 (3):394-411.
    We identify a class of paradoxes that is neither set-theoretical nor semantical, but that seems to depend on intensionality. In particular, these paradoxes arise out of plausible properties of propositional attitudes and their objects. We try to explain why logicians have neglected these paradoxes, and to show that, like the Russell Paradox and the direct discourse Liar Paradox, these intensional paradoxes are recalcitrant and challenge logical analysis. Indeed, when we take these paradoxes seriously, we may need to rethink the commonly (...)
    Download  
     
    Export citation  
     
    Bookmark   16 citations  
  • Systematic realism.C. A. Hooker - 1974 - Synthese 26 (3-4):409 - 497.
    Download  
     
    Export citation  
     
    Bookmark   20 citations  
  • Logics in scientific discovery.Atocha Aliseda - 2004 - Foundations of Science 9 (3):339-363.
    In this paper I argue for a place for logic inscientific methodology, at the same level asthat of computational and historicalapproaches. While it is well known that a awhole generation of philosophers dismissedLogical Positivism (not just for the logicthough), there are at least two reasons toreconsider logical approaches in the philosophyof science. On the one hand, the presentsituation in logical research has gone farbeyond the formal developments that deductivelogic reached last century, and new researchincludes the formalization of several othertypes of (...)
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  • Intensionality and paradoxes in ramsey’s ‘the foundations of mathematics’.Dustin Tucker - 2010 - Review of Symbolic Logic 3 (1):1-25.
    In , Frank Ramsey separates paradoxes into two groups, now taken to be the logical and the semantical. But he also revises the logical system developed in Whitehead and Russellthe intensional paradoxess interest in these problems seriously, then the intensional paradoxes deserve more widespread attention than they have historically received.
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  • A note on an unpublished manuscript by Erik Stenius.Giuseppina Ronzitti - 2010 - Theoria 76 (1):91-96.
    Material kept in the National Library of Finland shows that from 1963 until 1969 Erik Stenius (1911–1990) worked on a book on antinomies , having been invited by the Dutch logician Evert Beth (1908–1964) to contribute a monograph to the North-Holland series Studies in Logic and the Foundations of Mathematics . The book was never published, but the manuscript has been found, and it is the purpose of this note to report on this finding.
    Download  
     
    Export citation  
     
    Bookmark  
  • The phenonenological idealism controversy in light of possible worlds semantics.Wojciech Krysztofiak - 2007 - Axiomathes 17 (1):75-97.
    In the paper there is presented the semantic interpretation of idealism/ realism controversy which is one of the most essential issues in Ingarden’s phenomenological project of ontology. The procedure of semantic paraphrase which is contemporary developed by Wolen´ ski, is the main interpretative tool. In the central part of the paper, there is formulated the formal theory of the semantic framework underlying idealism/realism discourse. Finally, there are formulated some notes showing that intentional conception of negation may be used for defending (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • The Golden Age of Polish Philosophy. Kaziemierz Twardowski’s philosophical legacy.Sandra Lapointe, Jan Wolenski, Mathieu Marion & Wioletta Miskiewicz (eds.) - 2009 - Dordrecht, Netherland: Springer.
    This volume portrays the Polish or Lvov-Warsaw School, one of the most influential schools in analytic philosophy, which, as discussed in the thorough introduction, presented an alternative working picture of the unity of science.
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • (1 other version)The analytic-synthetic distinction and the classical model of science: Kant, Bolzano and Frege.Willem R. de Jong - 2010 - Synthese 174 (2):237-261.
    This paper concentrates on some aspects of the history of the analytic-synthetic distinction from Kant to Bolzano and Frege. This history evinces considerable continuity but also some important discontinuities. The analytic-synthetic distinction has to be seen in the first place in relation to a science, i.e. an ordered system of cognition. Looking especially to the place and role of logic it will be argued that Kant, Bolzano and Frege each developed the analytic-synthetic distinction within the same conception of scientific rationality, (...)
    Download  
     
    Export citation  
     
    Bookmark   19 citations  
  • (1 other version)A new field: Empirical logic bioprograms, logemes and logics as institutions.E. M. Barth - 1985 - Synthese 63 (3):375 - 388.
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  • (1 other version)A new field: Empirical logic bioprograms, logemes and logics as institutions.E. M. Barth - 1984 - Synthese 58 (2):375 - 388.
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • A Topological Proof of the Löwenheim‐Skolem, Compactness, and Strong Completeness Theorems for Free Logic.Bas C. van Fraassen - 1968 - Mathematical Logic Quarterly 14 (13-17):245-254.
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • Peirce, frege, the logic of relations, and church's theorem.Randall R. Dipert - 1984 - History and Philosophy of Logic 5 (1):49-66.
    In this essay, I discuss some observations by Peirce which suggest he had some idea of the substantive metalogical differences between logics which permit both quantifiers and relations, and those which do not. Peirce thus seems to have had arguments?which even De Morgan and Frege lacked?that show the superior expressiveness of relational logics.
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  • Russell and Kant.J. Alberto Coffa - 1981 - Synthese 46 (2):247 - 263.
    Download  
     
    Export citation  
     
    Bookmark   12 citations  
  • The Cognitive Relation in a Formal Setting.Jan Woleński - 2007 - Studia Logica 86 (3):479-497.
    This paper proposes a formal framework for the cognitive relation understood as an ordered pair with the cognitive subject and object of cognition as its members. The cognitive subject is represented as consisting of a language, conequence relation and a stock of accepted theories, and the object as a model of those theories. This language allows a simple formulation of the realism/anti-realism controversy. In particular, Tarski’s undefinability theorem gives a philosophical argument for realism in epistemology.
    Download  
     
    Export citation  
     
    Bookmark  
  • Instead of revolution: Human ghosts of departed quantities. Quantity, quality and holy anorexia.E. M. Barth - 1989 - History of European Ideas 11 (1-6):289-304.
    Download  
     
    Export citation  
     
    Bookmark  
  • Beth's tableau-method.J. J. F. Nieland - 1966 - Synthese 16 (1):7 - 26.
    Download  
     
    Export citation  
     
    Bookmark  
  • Intuitionistic truth.Wlodzimierz Rabinowicz - 1985 - Journal of Philosophical Logic 14 (2):191 - 228.
    Download  
     
    Export citation  
     
    Bookmark   10 citations