This tag is for arguments that produce an inconsistency with common sense.

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Belnaps four-valued relevance logic

Belnap, the American Logician, constructed a four-valued logic which is a form of relavance logic; interestingly the truth-values it takes are: true false both true & false neither ...
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0answers
44 views

Predestination paradox

In the movie Twelve Monkeys James Cole has a dream. In that dream he is running in the airport, gets shot and dies. Final scene video. Article about predestination paradox. Is there a chance Cole ...
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2answers
122 views

Is the belief “I have Impostor Syndrome” paradoxical? [closed]

Is is possible to ever say "I have an Impostor syndrome" and be right? From wikipedia: those with the syndrome remain convinced that they are frauds and do not deserve the success they have achieved. ...
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1answer
52 views

About an interpretation of implication

Could the ' If P then Q ' be interpreted as 'If P is assumed to be true then Q is true '? This could explain why a false proposition implies any proposition , according to Raymond Smullyan. If P is ...
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2answers
558 views

What's the difference between a contradiction and a paradox?

Why can't we just claim a paradox invalid, just as the way we treat contradiction in mathematical proof? (i.e. if we arrive at the proposition inconsistent with the assumption, then we can immediately ...
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2answers
109 views

Motion and contradiction

Zeno famously said an arrow cannot be in motion as it occupies some precise position at some precise time. And is thus at rest. Modern physics resolves this by stating the arrow has momentum. It is ...
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5answers
170 views

Time traveler's paradox

If people were to travel back in time, change something, and return to their original time, this would create a paradox for the time traveler. To give a completely hypothetical example, consider ...
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5answers
313 views

Russell's Paradox & Existence of God

Russell's paradox is a famous theorem in set theory. It asserts that "the collection of all sets is not a set itself". In the other words "the set of all sets doesn't exist" in the world which ZFC ...
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3answers
105 views

Epimenides paradox

So today I am in my Theory of knowledge class at my high school and my teacher presents Epimenides paradox. At first I was excited but then I noticed something. the statement that he put up was "All ...
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4answers
1k views

What will happen if Pinocchio says: My nose will grow

If his nose is not growing, he is telling a lie and his nose will grow but then he is telling the truth and it can't happen. If his nose is growing, he is telling the truth, so it can't happen. If ...
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1answer
92 views

How to interpret these Jain statements in terms of omega consistency? [hint only]

ω-consistent theory: In mathematical logic, an ω-consistent (or omega-consistent, also called numerically segregative1) theory is a theory (collection of sentences) that is not only ...
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1answer
190 views

A simple paradox of True or False [duplicate]

In a piece of paper, it was written: The statement written in the paper is false. Is that statement actually true or false?
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2answers
226 views

What are some popular ways of trying to resolve the “Hangman's Paradox”?

In a harsh totalitarian country an innocent person is arrested on Sunday evening and summarily condemned to execution, which they are told will take place on one of the following five mornings. To ...
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2answers
210 views

What are the dialetheist semantics for logical negation?

This question is in a sense a follow-up, or elaboration, of the question "What are the motivations for Dialetheism?". Reflecting on the way I phrased that question, and the way I remarked on answers, ...
9
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1answer
483 views

What formal logical systems “resolve” the Liar Paradox?

Short version of my question. What formal logical systems can represent, and seem robust against, the Liar Paradox? N.B. I would like to avoid reference to truth-values, except inasmuch as they ...
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2answers
165 views

If a machine could theoretically count forever, is that machine counting? [closed]

I was wondering if a machine could theoretically count every second and could survive forever, would it actually be counting? Counting is only possible on finite sets so what would this machine be ...
1
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2answers
699 views

What is the difference between paradoxical, dialectical and tautologous?

Can the above words be used interchangeably? The phrase "circular reasoning" is mentioned under "paradox" in wikipedia, which led me to think about "tautology". I understand "dialectical" to mean (a ...
4
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5answers
396 views

If I am infinitely old , can I have a father?

If I am infinitely old , can I have a father ? And can I have a brother that is infinitely older than me but younger than my dad ?
4
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5answers
240 views

Is the human mind immune to paradox?

In the sense of why the Barber in the Barber Paradox doesn't go mad or enter an infinite decision loop. What makes our minds paradox proof? Can an artificial intelligence be made paradox proof? I ...
0
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1answer
180 views

Globalization directly resuscitates local traditions [closed]

I saw this on Wallerstein's writing, and I am not sure how one leads to this conclusion. What is the source of this quote, "Globalization directly resuscitates local traditions", and how does one ...
3
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2answers
464 views

Can Tao Te Ching be translated using paraconsistent logic?

Lao Tsu's Tao Te Ching is full of paradoxes. Is paraconsistent logic sufficient to translate Tao Te Ching to formal logic? To be specific, how can I get started with the following passage from ...
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2answers
151 views

The paradox of the raven and Kratzer's account of “if-then”

I have just read Angelika Kratzer's paper "Conditionals". In this paper Kratzer rejects the traditional account of the "if-then" construction in English as a two-place material implication operator, ...
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3answers
196 views

The preface paradox and the psychology of belief

For those who don't know, the "preface paradox" is an epistemic paradox wherein an author painstakingly researches every single fact he asserts in a new book he's releasing. As a result, he believes ...
4
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4answers
355 views

How can I demonstrate that a grammatical sentence lacks logical value?

To begin with, consider Chomsky famous construction: "Colorless green ideas sleep furiously". All the words respect a grammatical construction. But "colorless green" seems like a contradiction. If ...
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2answers
601 views

What is the difference between Law of Excluded Middle and Law of Non Contradiction?

In spite of reading the SEP entry under Contradiction several times I have difficulty distinguishing between the two. We can translate the Aristotelian language, with some loss of faithfulness, ...
10
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3answers
661 views

Does thermal time hypothesis finally resolve Zeno's paradox?

Is Time Just A Trick Of The Mind? (read article) Carlo Rovelli, one of the founder of Loop Quantum Gravity theory likes to think so. Furthermore wikipedia entry highlights: This position has lead ...
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3answers
368 views

100 coins paradox

I was wondering what are some proposed solutions in the literature to the following, well-known paradox: Say two rational, intelligent players A and B stand in front of a stack of 100 coins, and ...
4
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2answers
269 views

Self referential paradoxial statement with a twist

Self referential statements can be paradoxical as known since ancient times. (Some of this basic paradoxes had immense impact on my own field -mathematics.) Of course, paradoxical self-referential ...
6
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4answers
289 views

Are there borderline cases of existence?

Metaphysical/ontological vagueness, classically understood, can be summed up as the problem of borderline cases of some thing x. Clouds are the standard examples of vague objects. If posit that our ...
8
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3answers
287 views

Does God have the power to make identical universes through different means?

The easiest way to explain this question is with a thought experiment: Consider God, the ultimate of everything, who is wholly omnipotent (all-powerful) and omniscient (all-knowing). Let's just say, ...
13
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11answers
773 views

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 ...
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2answers
199 views

Is Vallicella's argument that the future tense cannot generate the Liar paradox valid?

The Pinocchio paradox arises when Pinocchio says: "My nose grows" From Wikipedia, Pinocchio is known for having a short nose that becomes longer when he is under stress, especially while telling a ...
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votes
2answers
292 views

Hempel's ravens (the confirmation paradox) [closed]

While taking a group of benefactors on a tour through the new aviary they had just helped to build, a noted ornithologist commented, "And here we have two of the finest examples of ravens that I have ...
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2answers
306 views

Does the law of excluded middle follow the law of excluded middle?

Example is that the word unknown is not unknown so it doesn't define itself. Similarly French is not French, it's in English, and "long" is not long and only 4 letters short. That's by example my ...
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4answers
445 views

Is it possible to determine an object's nonexistence? [closed]

The fish bowl argument is the observation that things are the way they are not due to some improbable (or otherwise) happenstance but rather because we are completely unfamiliar with the alternative. ...