Paradox

CL1 · Oct 22, 2021

I now know where I am going wrong

A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation.[1][2][3] It is a statement that, despite apparently valid reasoning from true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion.[4][5] A paradox usually involves contradictory-yet-interrelated elements that exist simultaneously and persist over time.[6][7][8]

In logic, many paradoxes exist that are known to be invalid arguments, yet are nevertheless valuable in promoting critical thinking,[9] while other paradoxes have revealed errors in definitions that were assumed to be rigorous, and have caused axioms of mathematics and logic to be re-examined.[1] One example is Russell's paradox, which questions whether a "list of all lists that do not contain themselves" would include itself, and showed that attempts to found set theory on the identification of sets with properties or predicates were flawed.[10][11] Others, such as Curry's paradox, cannot be easily resolved by making foundational changes in a logical system.[12]

Examples outside logic include the ship of Theseus from philosophy, a paradox that questions whether a ship repaired over time by replacing each and all of its wooden parts, one at a time, would remain the same ship.[13] Paradoxes can also take the form of images or other media. For example, M.C. Escher featured perspective-based paradoxes in many of his drawings, with walls that are regarded as floors from other points of view, and staircases that appear to climb endlessly.[14]

In common usage, the word "paradox" often refers to statements that are ironic or unexpected, such as "the paradox that standing is more tiring than walking
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4jonboy · Oct 22, 2021

SteveDee · Oct 23, 2021

"Triggers broom" ...now that's a paradox!

Only Fools And Horses (Medallic Entitlement).

Blutto · Oct 23, 2021

Caitlin Jenner...Woman of the Year.

ltdan · Oct 23, 2021

CL1 said: ↑

Examples outside logic include the ship of Theseus from philosophy, a paradox that questions whether a ship repaired over time by replacing each and all of its wooden parts, one at a time, would remain the same ship
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a.k.a. Triggers Broom

According to Aristotle, it seems so, because in his original quote from Metaphysics VII 17, 1041b:
"That which is composed of constituent parts in such a way as to form a unified whole-not after the manner of a heap, but like a syllable-is evidently more than merely the sum of its parts. A syllable is not the sum of its sounds: ba is not the same as b plus a, and flesh is not the same as fire plus earth."
[smartass-mode off]

However, now I am still not a bit smarter about how CL1 went wrong about paradoxes

Don Juan · Oct 28, 2021

If you are a paradox enthusiast, get yourself a copy of "Mind and Nature" by Gregory Bateson.

smdarby · Oct 28, 2021

I prefer the Uxbridge English Dictionary definition:

Paradox: Quandary over which physician to choose

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Paradox

CL1 116th LAA and 92nd (Loyals) LAA,Royal Artillery

4jonboy Daughter of a 56 Recce

SteveDee Well-Known Member

Blutto Banned

ltdan Nietenzähler

Don Juan Well-Known Member

smdarby Well-Known Member

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Paradox

CL1 116th LAA and 92nd (Loyals) LAA,Royal Artillery

4jonboy Daughter of a 56 Recce

SteveDee Well-Known Member

Blutto Banned

ltdan Nietenzähler

Don Juan Well-Known Member

smdarby Well-Known Member

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