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A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. [1] [2] It is a statement that, despite apparently valid reasoning from true or apparently true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion.
Grelling–Nelson paradox: Is the word "heterological", meaning "not applicable to itself", a heterological word? (A close relative of Russell's paradox .) Hilbert–Bernays paradox : If there was a name for a natural number that is identical to a name of the successor of that number, there would be a natural number equal to its successor.
The infinitely dense gravitational singularity found as time approaches an initial point in the Big Bang universe is an example of a physical paradox.. A common paradox occurs with mathematical idealizations such as point sources which describe physical phenomena well at distant or global scales but break down at the point itself.
Oxymorons are words that communicate contradictions. An oxymoron (plurals: oxymorons and oxymora) is a figure of speech that juxtaposes concepts with opposite meanings within a word or in a phrase that is a self-contradiction. As a rhetorical device, an oxymoron illustrates a point to communicate and reveal a paradox.
A bootstrap paradox, also known as an information loop, an information paradox, [6] an ontological paradox, [7] or a "predestination paradox" is a paradox of time travel that occurs when any event, such as an action, information, an object, or a person, ultimately causes itself, as a consequence of either retrocausality or time travel.
The next thesis both abolishes and preserves the original thesis and the antithesis, an apparent contradiction which leads to difficulties in interpreting this concept (and to translate aufheben). In Hegel's logic self-contradiction is legitimate and necessary. For Hegel, history (like logic) proceeds in every small way through sublation.
Antinomy (Ancient Greek: antí 'against' + nómos 'law') refers to a real or apparent mutual incompatibility of two notions. [1] It is a term used in logic and epistemology, particularly in the philosophy of Immanuel Kant. There are many examples of antinomy.
The principle in philosophy of language suggesting that the meaning of a word is the object it refers to, exemplified by the idea that the meaning of "Fido" is the dog Fido itself. [136] field The field of a function is the union of the domain and range of that function. figure See syllogistic figure. finitary