Sentence examples for mathematical intuition from inspiring English sources

It comes as no surprise that Tait has little use for Gödelian appeals to mathematical intuition in the philosophy of mathematics, or for the philosophical thesis that mathematical objects exist "outside space and time".

Indeed, it revealed that the neural code of the brain is very different than our usual mathematical intuition: what we may regard as intuitive measures, like the Hamming distance, fail to capture the similarity between neural population responses.

Martin Hairer, who has developed and sells his own Mac audio software, has said that programming helps develop mathematical intuition.

But logic, he was convinced, is not the only route to knowledge of this reality; we also have something like an extrasensory perception of it, which he called "mathematical intuition".

But I think there's also a math-is-hard problem: a political universe in which there are lots and lots of polls seems to play into some natural failings of our mathematical intuition.

In 1915, while working at the University of Göttingen, her mathematical intuition was recognized by David Hilbert and Felix Klein, both of whom profoundly influenced the foundations of mathematics and who urged her to remain at Göttingen.

While partaking of the fine wine and tasty hors d'oeuvres, cunningly calculated to dull the finest mathematical intuitions, contestants could choose from three categories of questions (Math Classics, Math Pulse and Gardner Greats) having three levels of difficulty: easy, medium or hard.

Hintikka assimilates mathematical intuitions to singular terms or particulars, and explains the use of intuition in a mathematical context by analogy to the logical move of existential instantiation.

Although Chatton seems thereby to evade some standard objections advanced against indivisibilism, in doing so he seems to have completely lost touch with some important mathematical intuitions and motivations that allow us to reason efficaciously about continua.

In a series of papers, Charles Parsons Parsonss 1964, 1969, 1984) has argued that the syntheticity of mathematical judgments depends on mathematical intuitions being fundamentally immediate, and he explains the immediacy of such representations in a perceptual way, as a direct, phenomenological presence to the mind.

Jose Benardete in his book Infinity: An essay in metaphysics argues that some natural pre-mathematical intuitions cannot be expressed if one is limited to an overly restrictive number system: The intelligibility of the continuum has been found many times over to require that the domain of real numbers be enlarged to include infinitesimals.