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Questions tagged [inconsistency]

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4 votes
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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. ...
andrós's user avatar
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1 vote
0 answers
92 views

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 ...
kouty's user avatar
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2 votes
2 answers
96 views

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 ...
Julius Hamilton's user avatar
3 votes
6 answers
187 views

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 ...
Alex's user avatar
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2 votes
1 answer
161 views

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 ...
J Kusin's user avatar
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3 votes
3 answers
103 views

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 ...
causative's user avatar
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1 vote
0 answers
32 views

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 ...
Kristian Berry's user avatar
1 vote
1 answer
239 views

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). ...
Morteza's user avatar
  • 21
0 votes
0 answers
64 views

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 ...
Kristian Berry's user avatar
1 vote
0 answers
34 views

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 ...
Kristian Berry's user avatar
-2 votes
3 answers
84 views

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 ...
CowNerd's user avatar
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-1 votes
1 answer
141 views

In a deductive reasoning system, what happens if we have unfounded axioms? [closed]

What if our axioms are false? What happens then?
asdfasfasdgf's user avatar
2 votes
0 answers
79 views

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's user avatar
  • 557
1 vote
0 answers
154 views

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 ...
Chris's user avatar
  • 296
1 vote
0 answers
169 views

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 ...
inuflatze's user avatar
-3 votes
2 answers
359 views

Is it possible to mathematically define a hypercomputer-universe where things that could not be computed by it could exist? [duplicate]

There are a few physicists that propose that the universe is a hypercomputer. One example is Roger Penrose, who, basing in his quantum interpretation (https://en.wikipedia.org/wiki/...
Sue K Dccia's user avatar
1 vote
0 answers
261 views

Is it there any trivialist model in physics (like in quantum mechanics)?

Trivialism is a system that proposes that literally every proposition is true and false at the same time blatantly breaking the principle of no contradiction and triggering the principle of explosion (...
Sue K Dccia's user avatar
4 votes
3 answers
1k views

What happens if we accept inconsistency?

(Philosophy novice here and not sure how best to phrase this question; if it's unclear please point out the problems). Imagine this conversation: Alice: I believe that X. Bob: Do you also believe Y? (...
Allure's user avatar
  • 271
7 votes
2 answers
920 views

What are the philosophical implications of using inconsistent mathematics?

Why mathematicians would prefer at times to work with inconsistent systems (from which I assume everything can be proven unless changing the logic used)? In particular, how could working with an ...
L.M. Student's user avatar
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