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The fundamental distinguishing characteristic of intuitionism is its interpretation of what it means for a mathematical statement to be true. In Brouwer's original intuitionism, the truth of a mathematical statement is a subjective claim: a mathematical statement corresponds to a mental construction, and a mathematician can assert the truth of a statement only by verifying the validity of that ...
[3] The main aim of the book is to provide a systematic account of the principles of commonsense morality. The three general methods of making ethical choices commonly used in ordinary morality are intuitionism (following general principles), egoism (promoting one's own well-being) and utilitarianism (promoting everyone's well-being).
Three schools, formalism, intuitionism, and logicism, emerged at this time, partly in response to the increasingly widespread worry that mathematics as it stood, and analysis in particular, did not live up to the standards of certainty and rigor that had been taken for granted. Each school addressed the issues that came to the fore at that time ...
Troelstra, A. S. (no date but later than 1990), "A History of Constructivism in the 20th Century", A detailed survey for specialists: §1 Introduction, §2 Finitism & §2.2 Actualism, §3 Predicativism and Semi-Intuitionism, §4 Brouwerian Intuitionism, §5 Intuitionistic Logic and Arithmetic, §6 Intuitionistic Analysis and Stronger Theories ...
Ethical intuitionism (also called moral intuitionism) is a view or family of views in moral epistemology (and, on some definitions, metaphysics).It is foundationalism applied to moral knowledge, the thesis that some moral truths can be known non-inferentially (i.e., known without one needing to infer them from other truths one believes).
Constructivism is often identified with intuitionism, although intuitionism is only one constructivist program. Intuitionism maintains that the foundations of mathematics lie in the individual mathematician's intuition, thereby making mathematics into an intrinsically subjective activity. [3]
Schools are normally self-administered by faculty; emphasis is placed upon giving individual teachers the freedom to develop creative methods. Steiner's theory of child development divides education into three discrete developmental stages predating but with close similarities to the stages of development described by Piaget. Early childhood ...
Brouwer founded intuitionism, a philosophy of mathematics that challenged the then-prevailing formalism of David Hilbert and his collaborators, who included Paul Bernays, Wilhelm Ackermann, and John von Neumann (cf. Kleene (1952), p. 46–59). A variety of constructive mathematics, intuitionism is a philosophy of the foundations of mathematics ...