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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 question is expressed by changing the mood of the main verb from the indicative to the subjunctive. Some rhetoric questions change the verb to the accusative, followed by the infinitive, as if it were a real declarative statement in direct speech [17]). It is normally appropriate to retain the word that introduces the question, but ...
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 ".
In Latin, the sequence of tenses rule affects dependent verbs in the subjunctive mood, mainly in indirect questions, indirect commands, and purpose clauses. [4] If the main verb is in one of the non-past tenses, the subordinate verb is usually in the present or perfect subjunctive (primary sequence); if the main verb is in one of the past tenses, the subordinate verb is usually in the ...
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:
Image credits: reddit.com The authors of the study said a key problem was that many people did not do enough research and were unaware of the level of responsibility involved in training their dog.
Former Rep. Lee Zeldin, Trump's pick to lead the EPA, made $186,000 from paid op-eds and speeches. Some of those op-eds criticized climate policies and ESG. The former NY congressman also made ...
Indirect questions do not necessarily follow the same rules of grammar as direct questions. [11] For example, in English and some other languages, indirect questions are formed without inversion of subject and verb (compare the word order in "where are they?" and "(I wonder) where they are"). Indirect questions may also be subject to the ...
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