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Assertive graphs
Journal of Applied Non-Classical Logics. 2018. Vol. 28. No. 1. P. 72–91.
Peirce and Frege both distinguished between the propositio
nal content of an assertion and
the assertion of a propositional content, but with different
notational means. We present a
modification of Peirce’s graphical method of logic that can b
e used to reason about assertions
in a manner similar to Peirce’s original method. We propose a
new system of Assertive
Graphs (AGs), which unlike the tradition that follows Frege
involves no
ad hoc
sign of
assertion. We show that axioms of intuitionistic logic can b
e derived from AGs, and argue
that AGs analyse and represent assertions and illocutionar
y content in a way which is
motivated both by its logical properties and its historical
connection with the ideas that led
to the development of the graphical method.
Bobrova A., Волынская К. А., Праксема. Проблемы визуальной семиотики 2026 № 2(48) С. 212–235
Musical notation has enjoyed universal recognition for centuries, whereas dance notation has remained comparatively underdeveloped and conceptually challenging. As a kinetic and embodied art form, dance requires a system of notation capable of reflecting its visual, affective, and technical dimensions while at the same time meeting the normative demands of stage practice. The first serious ...
Added: June 2, 2026
Ayupov R., История философии 2025 Т. 30 № 1 С. 101–114
The purpose of this article is to acquaint Russian-speaking readers with one of important works in analytic philosophy of language, dedicated to the semantics of proper names, namely with the article “Proper Names” by the American philosopher John Searle, published in 1958. Searle defends the so-called descriptivism view, according to which proper names possess not ...
Added: April 8, 2025
M. A. Smirnov, Логико-философские штудии 2024 Vol. 21 No. 4 P. 195–197
Works of Twardowski in the early XX century contain an outline of general semantic framework for natural languages. This framework, proposed within Twardowski’s theory of actions and ‘products’, provides a drastic alternative to Frege’s semantic framework based on the notion of proposition (Gedanke in Frege). The latter has to a great extent shaped the following development ...
Added: November 21, 2024
Bobrova A., Праксема. Проблемы визуальной семиотики 2024 № 2(40) С. 32–56
Проводится параллель между логической теорией Ч. Пирса – теорией экзистенциальных графов, и психологической теорией Ф. Джонсона-Лэрда – теорией ментальных моделей. В свое время теория экзистенциальных графов оказала заметное влияние на становление теории ментальных моделей, однако возможности их сотрудничества исчерпаны не были. В работе дается краткая характеристика обеих теорий, а также разбираются аспекты, в которых они ...
Added: August 27, 2024
Pietarinen A., Cognitive Semiotics 2021 Vol. 14 No. 1 P. 29–46
Pragmaticism states that general rules of action, or habits, are generalizing tendencies that lead us to action in conceivable situations describable in general terms. As a method of ‘putting questions to our minds,’ it assigns meanings to signs in terms of conceivable practical consequences for rational conduct. Questions are experiments on various ways of finding ...
Added: August 26, 2023
Bobrova A., Pietarinen A., Pragmatics and Cognition 2022 Vol. 29 No. 1 P. 111–134
Mercier and Sperber (MS) have ventured to undermine an age-old assumption in logic, namely the presence of premise-conclusion structures, in favor of two novel claims: that reasoning is an evolutionary product of a reason-intuiting module in the mind, and that theories of logic teach next to nothing about the mechanisms of how inferences are drawn ...
Added: October 31, 2022
Bobrova A., Pietarinen A., , in: Software Engineering and Formal Methods: SEFM 2019 Collocated Workshops: CoSim-CPS, ASYDE, CIFMA, and FOCLASA, Oslo, Norway, September 16–20, 2019, Revised Selected PapersVol. 12226: Software Engineering and Formal Methods.: Champaign: Springer, 2020. P. 195–205.
Dual-process theories of reasoning take for granted the fundamental difference between the two cognitive systems, Systems 1 and 2. This paper, in contrast, argues that System 1, which is responsible for fast, intuitive, associative, and effortless reasoning, can be explained to be just as logical as System 2, which is said to draw consequences in ...
Added: October 20, 2022
Bellucci F., Liu X., Pietarinen A., Logique et Analyse 2020 No. 251 P. 261–296
Peirce’s linear versions of the language of his Existential Graphs (EGs), presented in 1902, are examined. Differences between linear and non-linear languages are explained by permutational invariance and type- vs. occurrence-referentiality: Standard EGs are permutationally invariant with respect to linear EGs, while the Beta part of the system, which corresponds to first-order quantificational theory with ...
Added: December 11, 2021
Carrara M., Chiffi D., Pietarinen A., Logique et Analyse 2020 No. 251 P. 297–315
The pragmatic notion of assertion has an important inferential role in logic. There are also many notational forms to express assertions in logical systems. This paper reviews, compares and analyses languages with signs for assertions, including explicit signs such as Frege’s and Dalla Pozza’s logical systems and implicit signs with no specific sign for assertion, ...
Added: December 11, 2021
Тимошина Е. В., Васильева Н. С., Кондуров В. Е. et al., Вестник Российского фонда фундаментальных исследований. Гуманитарные и общественные науки 2021 № 3 С. 93–104
Notions of validity and efficacy of law have long been in the spotlight of jurisprudence, but the discussion on the respective issues is of a circular nature. We propose to systematize the existing approaches to legal validity on the basis of two criteria: 1) foundation of validity and 2) relation between validity and efficacy. This ...
Added: November 9, 2021
Pietarinen A., Beni M., Biosemiotics 2021
The background target of the research going into the present article is to forge an intellectual alliance between, on the one hand, active inference and the free-energy principle (FEP), and on the other, Charles S. Peirce’s theory of semiotics and pragmatism. In the present paper, the focus is on the allegiance between the nomenclatures of active and abductive inferences ...
Added: May 17, 2021
Pietarinen A., Bellucci F., Chiffi D., IfCoLoG Journal of Logics and their Applications 2021 Vol. 8 No. 2 P. 353–376
Assertive graphs (AGs) modify Peirce’s Alpha part of Existential Graphs (EGs). They are used to reason about assertions without a need to resort to any ad hoc sign of assertion. The present paper presents an extension of propositional AGs to the Beta case by introducing two kinds of non-interdefinable lines. The absence of polarities in ...
Added: April 22, 2021
Bobrova A., Эпистемология и философия науки 2020 Т. 57 № 3 С. 176–189
Finally, the first book started Peirceana. Peirceana is expected as a new series that provides access to both Peirce’s mostly unpublished late works and secondary papers, in which ideas of this American philosopher are developed. This edition is opened with three volumes on Peirce’s manuscripts on “Logic of the Future.” The thinker gave this definition ...
Added: April 19, 2021
Shumilina V., / Series HUM "Humanities". 2020.
The paper suggests the abductive theory of meaning as a project based on the theory of abduction (Ch. S. Peirce), pragmatics (P. Grice) and normative inferentialism (R. Brandom). The proposed theory addresses the problem of emergence of new meanings, dynamics of meaning, and development of capacity to understand meaning. In place of question of nature ...
Added: November 15, 2020
Pietarinen A., Logic Journal of the IGPL 2020
Abductive conclusions are drawn in a special, co-hortative mood (Peirce’s ‘investigand’). Abductive conclusions are representative interpretants that represent abduction (or retroduction) as a form of reasoning that can convey a general conception of the truth. The truth is not asserted; abduction merely delivers the idea of a matter of course, rendering that idea comparatively simple ...
Added: September 9, 2020
Pietarinen A., Chiffi D., Contemporary Pragmatism 2020 Vol. 17 No. 2-3 P. 205–227
Arguments from knowability have largely been concerned with cases for and against realism, or truth as an epistemic vs. non-epistemic concept. This article proposes bringing Peirce’s pragmaticism, called here ‘action-first’ epistemology, to bear on the issue. It is shown that a notion weaker than knowability, namely conjecturability, is epistemologically a better-suited notion to describe an essential ...
Added: August 28, 2020
Pietarinen A., Bellucci F., Transactions of the Charles S. Peirce Society 2020 Vol. 56 No. 1 P. 43–61
Peirce's semiotic characterization of abductive reasoning in the 1903 Syllabus and in its drafts is related to the interrogative mood of the conclusion of abductive reasoning, both in the light of the Syllabus and in that of Peirce's post-1903 analysis of abduction and speculative grammar. The relevant pages of the Syllabus also present two non-standard ...
Added: August 28, 2020
Bellucci F., Pietarinen A., Studies in History and Philosophy of Science Part A 2020 Vol. 84 P. 12–19
What sort of justification can be claimed for abduction? In this paper we reconstruct Peirce's answer to this question. We show that in his early works on the logic of science Peirce provided an abductive justification of abduction, and that in his mature writings the early solution is enriched by a reference to the place ...
Added: June 25, 2020