Questions tagged [paradox]

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

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21
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8answers
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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 ...
21
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12answers
2k 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 ...
22
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6answers
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Why is Aristotle's objection not considered a resolution to Zeno's paradox?

It seems to me, perhaps naïvely, that Aristotle resolved Zenos' famous paradoxes well, when he said that, Time is not composed of indivisible nows any more than any other magnitude is composed of ...
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7answers
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Are all paradoxes reducible to one “fundamental” paradox?

I may need to refine this question, since I am mostly grappling with a murky intuition and haven't yet done the real work. When I encounter many of the well-known paradoxes, such as Zeno's dichotomy, ...
0
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4answers
164 views

Liars paradox towards a solution?

This statement is not true 2.This statement is true only if true and not true. (1) and (2) are clearly different sentences, but do they express the same proposition? If yes, then it becomes clear ...
8
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3answers
531 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, ...
3
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1answer
7k views

Zeno's arrow paradox

Zeno's arrow paradox: Zeno states that for motion to occur, an object must change the position which it occupies. He gives an example of an arrow in flight. He states that in any one (duration-less)...
4
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5answers
633 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 ?
9
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5answers
587 views

A Question Regarding Russell's Paradox

Consider the 'set' behind Russell's Paradox: R = { x | x is a set and x ∉ x } in light of Cantor's definition of set ("aggregate"/Menge) in his CONTRIBUTIONS TO ...
6
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1answer
319 views

Is Belnap's four-valued logic technically a 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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4answers
2k 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 ...
10
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3answers
1k views

Are there rules for dealing with self-reference “paradoxes” in logic?

My favorite paradox that leads to an endless regress, and also leads to a question: The sentence after this is true. The sentence before this is false. When contradictions appear in proofs, ...
6
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8answers
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Is finding truth possible?

Consider the following argument: If want to know that something is true, I need to first know what is truth. If I need to know what is true, I need to find the truth. (Is there ...
2
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2answers
316 views

relativism and russell's paradox

Relativism is the idea that there is no universal, objective truth, and instead depends on the context and perspective. There is one concerning point however, which is the following relativistic ...
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0answers
133 views

The paradox of comprehension

If it can be known it cannot be communicated. Seemingly Gorgias held an ability to be communicated as intrinsic to the reality of a concept. And why not? Since for a solipsist there would be no ...
11
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2answers
412 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, ...
10
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3answers
3k views

Can a “real” paradox exist?

Given a statement, S: "S is not true." We arrive at a paradoxical solution whether or not we assume S to be true or false. Does this automatically imply that we have made an error in logic, ...
7
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3answers
579 views

Is Ross' paradox really a paradox?

Consider the following disjunction introduction: Your room is clean. Therefore, your room is clean or your house is burnt down. Ross' paradox allegedly arises when applying this inference to ...
5
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1answer
307 views

What is the “simple logical truth” that makes omniscience self-contradictory?

Patrick Grim claims in "Problems with Omniscience" that there is a "simple truth well established as a logical theorem", which shows that omniscience is a contradictory concept. I am failing to see ...
4
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1answer
183 views

Is it provable that epistemically possible (possible for all I know) does not imply possible?

Here is an argument that it is not. Let's start with some equivalences: X is epistemically possible iff X is possible for all I know iff not (X is impossible given what I know) iff X is not ...
3
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1answer
191 views

Why is “similarity” not a logical relation? (from “Natural Kinds” by Quine)

I have two questions regarding Quine's paper “Natural Kinds”: Why isn't similarity a logical relation? Why is our ability to recognize similarity so fundamental? These two things are explained in ...
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4answers
1k views

Are there real paradoxes?

Paradoxes arise in mathematics; a famous one being Russells; usually its taken as a sign that the theoretical ediface needs to change. The difficult question is how; for example Russell developed his ...
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3answers
240 views

Is this a paradox?

A and B met a genie and the genie grant each of them a wish. A's wish: I wish that B's wish is not implemented B's wish: I wish that A's wish is implemented. Is this a paradox?
1
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1answer
152 views

Is a barber a barber if he doesn't get paid?

For reference: The Barber Paradox. The Barber is he who shaves all those, and only those, who doesn't shave themselves. Now the question is: Who shaves the Barber? The paradox being that if ...