This is the PhD dissertation, written under supervision of Professor Jerzy Słupecki, published in the book: U.Wybraniec-Skardowska i Grzegorz Bryll "Z badań nad teorią zdań odrzuconych" ( "Studies of theory of rejected sentences"), Zeszyty Naukowe Wyższej Szkoły Pedagogicznej w Opolu, Seria B: Studia i Monografie nr 22, pp. 5-131. It is the first, original publication on the theory of rejected sentences on which are based, among other, papers: "Theory of rejected propositions. I"and "Theory of rejected propositions II" with Jerzy (...) Słupecki and Grzegorz Bryll. -/- -/- . (shrink)

Zmienną istotną wyrażenia rachunku zdań nazywam zmienną, której wartość przy pewnym układzie wartości innych zmiennych wpływa na wartość całego wyrażenia.

The relevance of the Popperian heritage to the internalism-externalism issue is explored. First, the nature of the controversy between Popper and his disciples, Watkins and Zahar, about basic statements is discussed. Popper's resistance to Watkins' and Zahar's elaborations is suggested to be motivated by his implicit antiinternalist attitude that is misnamed by him as antipsychologism. Next, instead of a conventionalist, an externalist reading of Popper's mention about the role of a „scientific jury” in accepting basic statements is offered. It is (...) doubtful, however, whether Popper can be considered an externalist, for he rejects the concept of justified belief altogether. Still, it is suggested that future elaboration of his ideas may help to explain away the circularity apparent in Goldman's reliabilism and arrive at a more tenable form of externalism. (shrink)

In my paper I focus on the linguistic phenomenon of multiple quantification. My aim is to defend the grammatical ambiguity hypothesis, the view that a multiple quantified sentence of a language L is semantically ambiguous if a grammar for L (understood as the cognitive mechanism that maps sentences onto meanings) encodes a class of interpretations - specifies the space of possible interpretations of that sentence. I argue both against the position of a unitary semantics: ambiguous sentences encode a single sense, (...) a pragmatic (context dependent) derivation is essential in arriving at the other interpretations; and against that of radical pragmatics: ambiguous sentences encode no senses at all, a pragmatic derivation is essential in arriving at any interpretation (at all). In my attempt at providing a plausible account of semantic ambiguity, I use a combination of approaches and methods: theories of grammar (such as Government and Binding Theory), tools of mathematical logic, linguistic studies and the results of psycholinguistic experiments. (shrink)

This is not an article, but it is published after the paper "The theory of rejected proposition.I" (in Studia Logica, 29 (1971), pp. 75-123), it is a broad abstract in Polish on pages 116-118.

This is not an article, but it is published after the paper "The theory of rejected proposition.II" (in Studia Logica, 30 (1972), pp. 97-145), its broad abstract in Polish on pages 140-142.

The monograph contains three works on research on the concept of a rejected sentence. This research, conducted under the supervision of Prof. Jerzy Słupecki by U. Wybraniec-Skardowska (1) "Theory of rejected sentences" and G. Bryll (2) "Some supplements of theory of rejected sentences" and (3) "Logical relations between sentences of empirical sciences" led to the construction of a theory rejected sentences and made it possible to formalize certain issues in the methodology of empirical sciences. The concept of a rejected sentence (...) was introduced by J. Łukasiewicz in the course of his inquiry into Aristotelian Syllogistic. It was essentialy generelized by J. Słupecki who, with reference to Tarski's axiomatic theory of deductive systems (1930), gave the formal definition of the rejection function Cn' according to which a sentence y is rejected on the base of a set of sentences X iff at least one sentence which belongs to X can be deduced from the sentence y. Słupecki proved (1959) that the function Cn', which assignes to the set X the set of sentences rejected on the basis of X, is additive and satisfies the axioms of Tarski's general theory of deductive systems. Work (1) uses not only Tarski's general theory of systems but also his the so-called enlarged theory of systems (1930). It constructs a theory T of rejected sentences (propositions), which is created from Tarski's richer theory of systems by adding one axiom and a number of definitions; among them the definition of the rejection function Cn' is fundamental one. Cn' is a function which assignes to every set X of false sentences the set Cn'X whose members are exclusively false senteces. A number of theorems which describes properties of defined concepts have been proved in T. Some of them are necessary for conducting considertions of the concluding section of (1) devoted to the empirical sentences. Section 2 of (1) deals with the theory of the unit consequenses. It is characterized by an axiom from which follow all axioms of Tarski's general theory of deductive systems, additivity and the property that the unit consequence of the set X of sentences is a unit consequence only one sentence of X. An example of unit consequence is the rejection consequence Cn'. In section 3 of (1) the dual theory T' equivalent to T is presented. In T' the primitive concept is the rejection function Cn'. The fundamental axiom of T' states that Cn' is a unit consequence. The concluding section brings a few examples of applications of the definitions and theorems of T in the domain of the scientific methodology. Work (2) corresonds to J. Słupecki paper (1959) and the theory T of rejected propositions given in work (1). In this paper some suplements of the theory T are given. Work (3) is an extension of the theory of rejected propositios given in the paper (1). It is an attempt of formalization some problems of methodology of the empirical sciences which concern to such concepts as: empirical sentence, similar sentence, generalization, inductive conclusion etc. (shrink)

The paper brings a critical analysis of the assumptions on which K. Ajdukiewicz (1934) based his considerations concerning the theory of meaning and proposes to look at these problems from a new research perspective. The considerations sought to analyse the modes of accepting propositions which call for a contact with empirical reality, therefore to apply some empirical procedures (observations, tests, experiments).

W artykule przedstawione i analizowane są trzy kontrprzykłady dla tezy, że wszystkie zdania matematyczne są konieczne, tzn. koniecznie prawdziwe lub koniecznie fałszywe: argument z przygodnych relacyjnych własności empirycznych, argument z własności wynikających z konwencjonalnych reprezentacji i argument z relatywizacji do modelu. Pierwsze dwa argumenty poddają się łatwemu podważeniu, do zakwestionowania trzeciego natomiast potrzebne jest przyjęcie dość silnego stanowiska realistycznego w teorii mnogości.

The author presents his own conception of semantic analyticity accounted for from a thoroughly empiricist perspective on (descriptive) meaning. This conception includes the following theses. Meanings as entities constituted in social interactions should be investigated empirically by sociolinguistic methods. Each meaning is determined by a cluster of platitudes, i.e. sentences held as true or known in a given form by all (or almost all) competent language users. Each such sentence can be equivalently expressed in a form of conditional inference, or (...) just possess this form. All these inferences are held, by competent language users, as connected to others, thus building a global semantic space. A sentence is accepted as meaningful only if it is inferentially connected to other sentences so that together they, at least hypothetically, relate to some determinate experiences. Hence all meaningful sentences are a posteriori true. Analyticity/syntheticity of proposition is relative to a degree and scope of being accepted or known in a given form of sentence expressing it. Evidently analyticity/syntheticity is a psycho-social matter. Sufficient degree of analyticity is called 'platitudiness'. Analytic/synthetic distinction comes in degrees, is not strict, and a sentence's being analytic/synthetic may change over time. There are many cases in which we cannot determine whether a sentence is more analytic than synthetic, or conversely. (shrink)

"A Special Case of Logical Contradiction – Content Implication Approach" The difference between so-called performative/pragmatic and logical contradiction seems to be one of the most firmly established philosophical distinctions. There are, however, some utterances, which fall outside this classification in its current form. Moreover, they reveal that the expressive power of the language of classical logic is too weak to express some form of the logical contradiction. The main aim of this paper is to characterize this special case of the (...) contradiction. By extending classical logic with a new connective, i.e. content implication, it also provides tools needed for adequate formal representation of this phenomenon. (shrink)