Questions tagged [inconsistency]
The inconsistency tag has no usage guidance.
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Does second order integrity matter?
I was googling/thinking about 'integrity', and wondered if, similar to second order desires, when one desires that one desires certain goods, and second order virtue, abstract concepts of e.g. ...
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Completeness in finished system
Gödel's incompleteness theorems addresse formal axiomatic théories.
Incompleteness of arithmetic of natural numbers is an example.
My question is if a theory regarding a finite class of numbers cannot ...
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Are quantum logics isomorphic to inconsistent logics?
I have been wondering if, instead of being discarded, inconsistent logics could be explored as a topic proper - chiefly, the various properties different inconsistent logics have; if we simply ...
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Do contingent propositions about the world rely on the consistency of mathematics?
Assume that a contradiction in mathematics is discovered, say '0=1'. Then, by the principle of explosion from classical logic (by the rules of which, arguably, the world adheres as well) we can derive ...
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Do contradictions rule out holism and vice versa, and pluralism?
Quine has a holism (based in radical empiricism) that is very appealing. It's a significant part of his Two Dogmas of Empiricism, which many say is the most significant philosophical work in the 20th ...
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Is philosophy about the resolution of mental conflict and disunity?
Consider the following "psychological" take on what philosophy is about.
To do philosophy means:
To have disorder in your mind: conflict between one idea and another, or insufficient ...
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I'm so confused, why doesn't the foundation axiom allow us to derive ℘(ℵ₀) ≠ ℘(ℵ₁), or worse, why doesn't that axiom show that ZFC is inconsistent?
℘(ℵ₀) ≠ ℘(ℵ₁) is not provable in ZFC (this unprovability is an instance of Easton's theorem). I don't know why my mind decided to get hung up on this today, but I'm tired and this brain bee is buzzing ...
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Time as a transition from a whole which is constitutable by each of many sets of parts to the set of parts that generates the shortest path?
Summary:
Any entity E which is constituted by extrinsically indiscernible parts A and B remains extrinsically the same, in all stages of the change, even if A changes to B and B to A (concurrently).
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Do set theories have inconsistency strengths, on top of consistency strengths?
Caveat: this question is fairly technical in nature, and I have reason to believe it would be more fitting for the MathOverflow, especially in terms of potentially informative responses (there are ...
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Transconsistency operators and degrees of logical explosivity?
So I noticed in an article I was reading that they talked about consistency and/or inconsistency or otherwise transconsistency operators. I don't recall the details, but they sound like propositional ...
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Immorality of inconsistencies [closed]
I am trying to find some arguments on the immorality of inconsistencies. To me it seems quite intuitive to conclude that an inconsistency is immoral (for example, 'Grass is green and grass is not ...
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In a deductive reasoning system, what happens if we have unfounded axioms? [closed]
What if our axioms are false? What happens then?
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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?
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How can the position of skepticism avoid becoming incoherent on the problem of the criterion?
Concerning the problem of the criterion, there has been said to be three traditional responses: methodism, particularism, or skepticism. Although other philosophers have proposed that there are more ...
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Did Wheeler's "It from Bit" allow inconsistencies to exist?
Physicist John Wheeler proposed a model of the universe based on "It from Bit" asserting that the world is fundamentally information.
I've been told both that Wheeler's It from Bit is compatible with ...
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