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  2. Proof by contradiction - Wikipedia

    en.wikipedia.org/wiki/Proof_by_contradiction

    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.

  3. Indirect speech - Wikipedia

    en.wikipedia.org/wiki/Indirect_speech

    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 ...

  4. Wh-movement - Wikipedia

    en.wikipedia.org/wiki/Wh-movement

    In English, wh-movement occurs in subordinate clauses to form an indirect question. While wh-fronting occurs in both direct and indirect questions, there is a key word order difference, [7] as illustrated with the following examples: a. Fred will ask Jill to leave. b. Whom will Fred ask to leave? – Direct question c. I wonder whom Fred will ...

  5. Contraposition - Wikipedia

    en.wikipedia.org/wiki/Contraposition

    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 ".

  6. Sequence of tenses - Wikipedia

    en.wikipedia.org/wiki/Sequence_of_tenses

    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 ...

  7. Question - Wikipedia

    en.wikipedia.org/wiki/Question

    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 ...

  8. Trump's pick to lead EPA was paid tens of thousands to write ...

    www.aol.com/trumps-pick-lead-epa-paid-180939939.html

    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.

  9. Indirect self-reference - Wikipedia

    en.wikipedia.org/wiki/Indirect_self-reference

    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:

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