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A system will be said to be inconsistent if it yields the assertion of the unmodified variable p [S in the Newman and Nagel examples]. In other words, the notion of "contradiction" can be dispensed when constructing a proof of consistency; what replaces it is the notion of "mutually exclusive and exhaustive" classes.
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.
However, some of these paradoxes qualify to fit into the mainstream viewpoint of a paradox, which is a self-contradictory result gained even while properly applying accepted ways of reasoning. These paradoxes, often called antinomy, point out genuine problems in our understanding of the ideas of truth and description.
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.
A term that describes itself. For example, the word "short" is autological because it is a short word. automaton A self-operating machine or, in computer science, a theoretical model of computation that performs tasks according to a set of rules or a program. automorphism
In logic, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition by showing that assuming the proposition to be false leads to a contradiction. Although it is quite freely used in mathematical proofs, not every school of mathematical thought accepts this kind of nonconstructive proof as universally ...
The post 26 Palindrome Examples: Words and Phrases That Are the Same Backwards and Forwards appeared first on Reader's Digest. Palindrome words are spelled the same backward and forward.
In rhetoric, antithesis is a figure of speech involving the bringing out of a contrast in the ideas by an obvious contrast in the words, clauses, or sentences, within a parallel grammatical structure. [7] The term "antithesis" in rhetoric goes back to the 4th century BC, for example Aristotle, Rhetoric, 1410a, in which he gives a series of ...