Sep 2026· Sats: northern european journal of philosophy· 0 citations· 11 references
TL;DR
This paper tries to show that problems with the theory of the soul attributed to Thales of Miletus do not exist in Non-Axiomatic Logic, because extensional difference allows building compound terms that can be related to simple terms that are inconsistent with them.
Abstract
Abstract The theory of the soul attributed to Thales of Miletus presents a complexity. It seems to imply a contradiction. Thales appears to state that the beings devoid of a soul possess a soul. This claim causes problems with its logical consideration. At least, it reveals problems if it is addressed within the framework of classical logic. In this paper, I try to show that those problems do not exist in Non-Axiomatic Logic. Due to its concept of extensional difference, the latter logic can deal with seemly contradictory theses such as that ascribed to Thales of Miletus. This is because extensional difference allows building compound terms that can be related to simple terms that, in principle, are inconsistent with them.
Cicero posed a controversial claim. He proposed that the Stoics admitted an
inference hard to accept. That inference is also incorrect in propositional calculus. It consists of two premises and a conclusion. The first premise is the negation of a conjunction.
The second premise is the negation of one of the conjuncts o...
Miguel López-Astorga· Schole Ancient philosophy an...· 0 citations
In this article, we have introduced a new possibilistic logic on a logic of formal inconsistency with the aim of developing a possibility theoretic framework to deal with uncertainty and inconsistency meaningfully without leading to a system collapse. We have discussed the syntax and semantics for this logic and have p...
(Aizawa, 2025) proposed that scientists sometimes confirm hypotheses using abductive reasoning. That is, they presuppose that some H’s explaining some E provides some reason to believe H. As an example, Alan Hodgkin and Andrew Huxley used abductive reasoning to support their hypothesis that an influx of sodium ions int...
This paper reflects on the tension between the Cartesian conception of thought as doubt and the attribution of “thought” to Artificial Intelligence, drawing on Descartes’s methodical doubt and cogito, read through Gilson and commentators such as Nascimento and Braga e Chaves, including the Cartesian criterion of langua...
Ana Pinheiro· Isagoge - Journal of Humanit...· 0 citations
The book presents a novel, abductivist theory of knowledge and argues for it over its two main rivals: safety theory and causal explanationism. According to abductivism, a belief constitutes knowledge when, given the way it is formed or maintained, the best explanation of its being true rather than false lies in the...
Carnap [5] in 1943 noticed that there exist some non-normal valuations that do not respect the usual truth conditions of classical connectives, yet are sound. This finding reveals an asymmetry between the syntax and semantics of classical logic and might be counted as a challenge to the inferentialist program. While se...
J. Jafari, Davood Hosseini· Australasian Journal of Logi...· 0 citations
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