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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 ...
His speeches offered new perspectives and elucidated many passages in his three major works: Time and Free Will, Matter and Memory, and Creative Evolution. Although necessarily brief statements, they developed and enriched the ideas in his books and clarified for English audiences the fundamental principles of his philosophy.
Three Principles Psychology (TPP), previously known as Health Realization (HR), is a resiliency approach to personal and community psychology [1] first developed in the 1980s by Roger C. Mills and George Pransky, who were influenced by the teachings of philosopher and author Sydney Banks. [2]
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 ...
Intuitionism is a position advanced by L. E. J. Brouwer in philosophy of mathematics derived from Kant's claim that all mathematical knowledge is knowledge of the pure forms of the intuition—that is, intuition that is not empirical.
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 ...
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 ...
[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).