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A typical example is the proof of the proposition "there is no smallest positive rational number": assume there is a smallest positive rational number q and derive a contradiction by observing that q / 2 is even smaller than q and still positive.
An indirect statement or question can replace the direct object of a verb that is related to thought or communication. An indirect statement is expressed by changing the case of the subject noun phrase from nominative to accusative and by replacing the main verb with an infinitive (as in the English phrase "You believe me to be a traitor" above).
An indirectly self-referential sentence would replace the phrase "this sentence" with an expression that effectively still referred to the sentence, but did not use the pronoun "this." An example will help to explain this. Suppose we define the quine of a phrase to be the quotation of the phrase followed by the phrase itself. So, the quine of:
However, indirect methods such as proof by contradiction can also be used with contraposition, as, for example, in the proof of the irrationality of the square root of 2. By the definition of a rational number , the statement can be made that " If 2 {\displaystyle {\sqrt {2}}} is rational, then it can be expressed as an irreducible fraction ".
The noun phrase the ship is the patient in both sentences, although it is the object in the first of the two and the subject in the second. The grammatical relations belong to the level of surface syntax, whereas the thematic relations reside on a deeper semantic level.
Sex and relationship experts provide a guide for how to talk dirty in bed without offending or alarming your partner, including examples and guides. 40+ Phrases You Can Use to Amp up Your Dirty ...
For example, one might conjecture that a differential operator ought to satisfy a certain boundedness condition "for nice test functions," or one might state that some interesting topological invariant should be computable "for nice spaces X." object Anything that can be assigned to a variable and for which equality with another object can be ...
For every 3 non-theme words you find, you earn a hint. Hints show the letters of a theme word. If there is already an active hint on the board, a hint will show that word’s letter order.
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