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Scientific Research and the Unforeseen World: Why Basic Research is Essential

How the current process of funding science discourages basic research and makes fundamenal breakthroughs less likely. ....

New York , United States , New Jersey , White House , District Of Columbia , San Diego , Princeton University , Holt Jr , Karl Popper , Roger Tsien , Roger Tsienset , Frankh Johnson , E Newton Harvey , Doug Prasher , Alfred North Whitehead , Miltonj Cormier Renilla , Martin Chalfie , Frank Johnson , Joram Pitiagorskypointed , Milton Cormier , Osamu Shimomura Aequorea , Vannevar Bush , James Watson , Principia Mathematicaby Bertrand Russell , Doug Prashermet Martin Chalfie , Osamu Shimomura ,

"Infinitesimal Knowledges" by Rodney Nillsen

The notion of indivisibles and atoms arose in ancient Greece. The continuum that is, the collection of points in a straight line segment, appeared to have paradoxical properties, arising from the ‘indivisibles’ that remain after a process of division has been carried out throughout the continuum. In the seventeenth century, Italian mathematicians were using new methods involving the notion of indivisibles, and the paradoxes of the continuum appeared in a new context. This cast doubt on the validity of the methods and the reliability of mathematical knowledge which had been regarded as established by the axiomatic method in geometry expounded by Aristotle’s younger contemporary Euclid. The teaching of indivisibles was banned within the Society of Jesus, the Jesuits. In England, indivisibles were used by the mathematician John Wallis, and there was an acrimonious and extended feud between Wallis and the philosopher Thomas Hobbes over legitimate methods of argument in mathematics. N ....

Thomas Hobbes , Damir Alexander , Bishop Berkeley , John Wallis , Isaac Newton , Society Of Jesus , Gottfried Leibniz , Uthoritarianism And Knowledge , Axiomatic Method , Historical Method , Istory Of Mathematics , Anguage And Knowledge , Ncertainty In Knowledge ,

Category Theory: Lecture Notes and Online Books

Category Theory: Lecture Notes and Online Books
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