Philosophy Dictionary of Arguments

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Dialethism: dialethism is a paraconsistent logic that goes back to G. Priest (G. Priest, What is so Bad about Contradictions? Journal of Philosophy, 95, pp. 410-26). It is about the fact that contradictory statements can be asserted at the same time. See also paraconsistent logic, truth agglomerations, truth gaps, paradoxes.
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Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

 
Author Concept Summary/Quotes Sources

Logic Texts on Dialetheism - Dictionary of Arguments

Sainsbury V 203
Statement/Sentence/Sainsbury: Thesis: to say something is an action. If it is true, it expresses a mental state of acceptance. Likewise, denial is an action.

Three dualities: true/false
testify/deny
accept/reject.

Contradiction/accept/Priest: there are two possibilities if you do not accept [the statement] A.

a) reject the statement, refuse to accept it
b) be agnostic about A, neither accepting nor refusing to accept.

V 204
Truth/Priest: Thesis: Truth and falsehood are not mutually exclusive. A proposition can be both true and false at any given time.
Question: can a) and b) be represented at the same time?
problem:

F What is false should be rejected.

Now all contradictions should be rejected. F demands modification. It is not reasonable to reject what is de facto wrong when all available evidence indicates that it is true. (e.g. until later scientific discoveries).

Truth/Priest: is inextricably linked with falsehood. One cannot accept all truths and reject all falsehoods.
V 205
What one should do is to reject all falsehoods that are not also truths. This is a rule of conduct that anti-dialethists cannot argue about, it comes down to F.

Priest: most of us eventually believe contradictions. This seems to lead to difficulties:
If we accept from A, A and also do not accept A, then we could not truly testify A.
So we could truly deny A. So we reject A.
So there is a proposition that we both accept and reject.
PriestVs: this train of thought does not allow that from the premise that A should not be accepted, it can be concluded that A must be rejected.

Sainsbury: it is impossible to be in a state of acceptance and rejection at the same time.
But that obviously does not forbid that reason demands that a proposition be both accepted and rejected at the same time.
"Should" does not imply "could".
Solution:
Dialethism/Sainsbury: the idea is that when we come to a dialethia, we can accept it and therefore do not have to criticize the train of thought that led to it.
Cf. >Bivalence
, >Dialethism/Priest, >Contradiction.

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Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.
Logic Texts
Me I Albert Menne Folgerichtig Denken Darmstadt 1988
HH II Hoyningen-Huene Formale Logik, Stuttgart 1998
Re III Stephen Read Philosophie der Logik Hamburg 1997
Sal IV Wesley C. Salmon Logic, Englewood Cliffs, New Jersey 1973 - German: Logik Stuttgart 1983
Sai V R.M.Sainsbury Paradoxes, Cambridge/New York/Melbourne 1995 - German: Paradoxien Stuttgart 2001
Sai I
R.M. Sainsbury
Paradoxes, Cambridge/New York/Melbourne 1995
German Edition:
Paradoxien Stuttgart 1993


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Ed. Martin Schulz, access date 2024-04-29
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