Homotopy Principle - Ways To Prove The H-principle

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“Parents find many different ways to work their way through the assertiveness of their two-year-olds, but seeing that assertiveness as positive energy being directed toward growth as a competent individual may open up some new possibilities.”
—Fred Rogers (20th century)

“Humility is often merely feigned submissiveness assumed in order to subject others, an artifice of pride which stoops to conquer, and although pride has a thousand ways of transforming itself it is never so well disguised and able to take people in as when masquerading as humility.”
—François, Duc De La Rochefoucauld (1613–1680)

“We stood talking for some time together of Bishop Berkeley’s ingenious sophistry to prove the non-existence of matter, and that every thing in the universe is merely ideal. I observed, that though we are satisfied his doctrine is not true, it is impossible to refute it. I shall never forget the alacrity with which Johnson answered, striking his foot with mighty force against a large stone, till he rebounded from it, “I refute it thus.””
—Samuel Johnson (1709–1784)