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In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism ), is an approach where mathematics is considered to be purely the result of the constructive mental activity of humans rather than the discovery of fundamental principles claimed to exist in an objective reality. [1]
Dec 15, 2014 · Ethical Intuitionism was one of the dominant forces in British moral philosophy from the early 18 th century till the 1930s. It fell into disrepute in the 1940s, but towards the end of the twentieth century Ethical Intuitionism began to re-emerge as a respectable moral theory.
Sep 4, 2008 · Intuitionism is a philosophy of mathematics that was introduced by the Dutch mathematician L.E.J. Brouwer (1881–1966). Intuitionism is based on the idea that mathematics is a creation of the mind.
Intuitionism, In metaethics, a form of cognitivism that holds that moral statements can be known to be true or false immediately through a kind of rational intuition. In the 17th and 18th centuries, intuitionism was defended by Ralph Cudworth, Henry More (1614–87), Samuel Clarke (1675–1729), and.
Sep 30, 2008 · Intuitionism teaches that there are objective moral truths, and that human beings can find them by using their minds in a particular, intuitive way.
Sep 1, 1999 · In his 1912 essay Intuitionism and Formalism Brouwer correctly predicted that any attempt to prove the consistency of complete induction on the natural numbers would lead to a vicious circle.
Intuitionism is the view that certain kinds of mathematical proofs (namely, nonconstructive arguments) are unacceptable. More fundamentally, intuitionism is best seen as a theory about mathematical assertion and denial.
intuitionism, school of mathematical thought introduced by the 20th-century Dutch mathematician L.E.J. Brouwer that contends the primary objects of mathematical discourse are mental constructions governed by self-evident laws.
As a position on moral perception, intuitionism holds that objective moral truths are perceived through a nonrational sense called “intuition.” Like the classical five senses, intuition enables us to grasp truths of the world immediately and directly, to some intuitionists even infallibly.
But once again we can use intuitionism precisely to express ideas that were less precisely adumbrated in an older philosophical school: Kant's transcendental idealist, we may say, advocates an intuitionistic logic for empirical discourse, while the rival transcendental realist goes for classical logic in the empirical arena.
