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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 ...
These gender stereotypes can reinforce low confidence in girls and can cause math anxiety as research has shown that performance on standardized math tests is affected by one's confidence. [32] As a result, educators have been trying to abolish this stereotype by fostering confidence in math in all students in order to avoid math anxiety. [33]
A common application of decision theory to the belief in God is Pascal's wager, published by Blaise Pascal in his 1669 work Pensées.The application is a defense of Christianity stating that "If God does not exist, the Atheist loses little by believing in him and gains little by not believing.
When the foundational crisis arose, there was much debate among mathematicians and logicians about what should be done for restoring confidence in mathematics. This involved philosophical questions about mathematical truth, the relationship of mathematics with reality, the reality of mathematical objects, and the nature of mathematics.
The term apologetics derives from the Ancient Greek word apologia (ἀπολογία). [1] In the Classical Greek legal system, the prosecution delivered the kategoria (κατηγορία), the accusation or charge, and the defendant replied with an apologia, the defence. [5] The apologia was a formal speech or explanation to reply to and rebut ...
The human mind has no special claim on reality or approaches to it built out of math. If such constructs as Euler's identity are true then they are true as a map of the human mind and cognition. Embodied mind theorists thus explain the effectiveness of mathematics—mathematics was constructed by the brain in order to be effective in this universe.
Downey takes on a critical generic approach to the feasibility of apologia. Halford Ryan advocates that apologia should be understood as part of a pair with kategoria (κατηγορία), an accusatory speech that motivates apologia as a defensive response. Ryan argues that these should be treated as a single rhetorical speech set.
Within criticism of religion, counter-apologetics is a field of thought that criticizes religious apologetics.Every religious apologist criticizes the defense of other religions, though the term counter-apologetics is frequently applied to criticism of religion in general by freethinkers and atheists.