Dialetheism is the view that there are true contradictions.
Dialetheism is the view that there are true contradictions and as such it opposes the Law of Non-Contradiction. Motivations for this view involve dealing with logical paradoxes.
Questions tagged [dialetheism]
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Motivations for dialetheism?
At the request of the moderators, I've reformulated this question to change the emphasis of the question to something perhaps a little more broad-ranging:
Question. What are the major modern motivations for Dialetheism?
Context.
According to the…
Niel de Beaudrap
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Does Gödel's argument that minds are more powerful than computers have the inconsistency loophole?
In "Raatikainen, P., 2005, “On the Philosophical Relevance of Gödel's Incompleteness Theorems,” , the author argues that Penrose's and others use of Gödel's theorem as an argument against mechanism (and presumably strong AI) - that minds are more…
Alexander S King
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Which philosopher discusses simultaneously considering an opinion and its opposite?
I remember reading somewhere that philosophical thinking was about being able to simultaneously consider one opinion and its opposite, or something of the like. Where was that? I am pretty sure it was in a philosophy book. The idea has grown on me,…
Leo
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Can Hegel's theory of logic be formalized?
In paraconsistent logic, we have dialecticism. So is it possible to formalize the logic of Hegel, like Anton Friedrich Koch in "Hegel's on the logical big bang and the evolution of logical space", and formalize all the European philosophers' system,…
AnduinWilde
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Dialetheias in the absence of contraction/absorption?
One of the arguments given for dialetheism is that the paradoxes of self-reference, such as the Liar paradox and Russell's paradox, are most naturally regarded as dialetheias (both true and false). To avoid triviality, dialetheists must use a…
Mike Shulman
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In which text/paper was the concept of dialetheism first introduced as a serious position?
More or less the question title.
My final-year logic course a few years back covered a number of non-classical logics (deontic, Kleene/Lukasiewicz multi-valued, etc.), however dialetheism was left as little more than a footnote in spite of a…
DTR
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Why shouldn’t I be a skeptic about the Necessitation Rule for alethic modal logics?
Alethic modal logics for metaphysical possibility and necessity usually have the Necessitation Rule:
From ⊢P, infer ⊢□P.
Doesn’t this commit us to the meta-notion that logical necessity modulo some proof calculus implies metaphysical necessity? I…
PW_246
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What is the exact form of law of non-contradiction that dialetheism rejects?
Dialetheism asserts that there are sentences that are both true and false, e.g. the Liar. This seems to, quite obviously, go against the law of non-contradiction (LNC), and indeed Priest seems to agree.
Dialetheism is the view that there are…
Constantly confused
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When does a conditional statement hold true according to Dialetheists?
I understand that for the consequent to really follow from the antecedent, it (the consequent) must be both relevant and necessary given the antecedent.
So my question is: which types of conditional statements actually hold true under dialetheism?…
help-me
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Is there a difference between contradictory and the opposite?
Is there a difference between contradictory and the opposite?
In natural language, we have the idea of opposite such as 'The opposite of good is evil'. In logic, we can represent that symbolically. Let G be good. Using symbols, the negation of good…
Axz
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? as a logical connective
I am reading Doubt Truth to be a Liar by Graham Priest. In it he uses the symbol ? as a logical connective, and I am unsure of it's meaning.
Given his use of ? (a ? a) to denote the Law of Identity, my first guess would be that it's a stand in for…
melembroucarlitos
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Did physicist Erwin Schrödinger propose that reality could have contradictions?
Did Schrödinger believe that contradictory or inconsistent things could exist in reality?
Was Schrödinger some kind of dialetheist?
vengaq
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A philosophy of suspending disbelief. What is it called?
What do you call the following philosophy?
On its own God doesn't exist. Imagination is essential for humans to thrive to their fullest potential. At specific times, imagination is so useful that it warrants deliberately suspending disbelief to…
user3280964
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How to construct a proposition about God (which is not a thing, nor a non-thing)?
I am reading a paper right now by Andrey V. Smirnov, published in the journal Philosophy East and West, Vol. 43, No. 1 titled Nicholas of Cusa and Ibn Arabi: Two Philosophies of Mysticism. Both thinkers had theories about the paradoxical nature of…
LootHypothesis
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Is there a rule/s for determining whether a contradiciton is a Dialetheia?
If not, is there a set of accepted properties or qualities that dialetheic statements have?
help-me
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