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A Mathematician's Apology 1st edition Author G. H. Hardy Subjects Philosophy of mathematics, mathematical beauty Publisher Cambridge University Press Publication date 1940 OCLC 488849413 A Mathematician's Apology is a 1940 essay by British mathematician G. H. Hardy which defends the pursuit of mathematics for its own sake. Central to Hardy's "apology" – in the sense of a formal justification ...
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The apologia was a formal speech or explanation to reply to and rebut the charges. A famous example is Socrates' Apologia defense, as chronicled in Plato's Apology. In the Koine Greek of the New Testament, the Apostle Paul employs the term apologia in his trial speech to Festus and Agrippa when he says "I make my defense" in Acts 26:2. [6]
In proof by exhaustion, the conclusion is established by dividing it into a finite number of cases and proving each one separately. The number of cases sometimes can become very large. For example, the first proof of the four color theorem was a proof by exhaustion with 1,936 cases. This proof was controversial because the majority of the cases ...
In application, there is some ambiguity regarding when evidence is deemed sufficiently "extraordinary". It is often invoked to challenge data and scientific findings, or to criticize pseudoscientific claims. Some critics have argued that the standard can suppress innovation and affirm confirmation biases.
The way the apology is given affects the outcome and the process of forgiveness. [4] For example, putting genuine emotion into an apology generally helps resolve disputes more quickly and helps rid negative emotions faster. When responding to a crisis, there are multiple implications and ethical standards organizations and groups might follow.
a sentence justified by the citation of (1) a rule of inference and (2) the prior line or lines of the proof that license that rule. Introducing a new assumption increases the level of indentation, and begins a new vertical "scope" bar that continues to indent subsequent lines until the assumption is discharged.
The earliest English use of apologia followed from the Greek sense "a speech in defense". Writing in the Renaissance period, Thomas More wrote his Apologye of Syr Thomas More, Knyght, made by him Anno 1533 after he had geuen over the office of Lord Chancellour of Englande.