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The British Journal for the Philosophy of Science, 1986
This paper summarises \textit{S. Kripke}'s account [in: Wittgenstein on rules and private language, Cambridge UP (1982)] of Wittgenstein's private language argument. Next it expounds Wittgenstein's later philosophy of mathematics, in which the validity of a proof is a sociological matter (acceptance by the community of mathematicians) and the proof ...
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This paper summarises \textit{S. Kripke}'s account [in: Wittgenstein on rules and private language, Cambridge UP (1982)] of Wittgenstein's private language argument. Next it expounds Wittgenstein's later philosophy of mathematics, in which the validity of a proof is a sociological matter (acceptance by the community of mathematicians) and the proof ...
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Applied Mathematics Is Bad Mathematics
1981It isn’t really (applied mathematics, that is, isn’t really bad mathematics), but it’s different.
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Mathematical Lens: Tent Mathematics
The Mathematics Teacher, 2008Most people go camping to escape the responsibilities of their professional lives. However, for a mathematician, even something as recreational as a tent contains some interesting reminders of mathematical functions. Photograph 1 shows an interior view of one of the zippered flaps of a tent used by the author and his wife for camping.
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2019
This chapter points out some issues about Cartesian geometry and Descartes’s program of solving geometrical problems by means of algebraic analysis. With this aim, it extends the corpus to Descartes’s mathematical correspondence and takes into account recent interpretations.
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This chapter points out some issues about Cartesian geometry and Descartes’s program of solving geometrical problems by means of algebraic analysis. With this aim, it extends the corpus to Descartes’s mathematical correspondence and takes into account recent interpretations.
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WIREs Cognitive Science, 2000
AbstractMathematical psychology is a sub‐field of psychology that started in the 1950s and has continued to grow as an important contributor to formal psychological theory, especially in the cognitive areas of psychology such as learning, memory, classification, choice response time, decision making, attention, and problem solving.
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AbstractMathematical psychology is a sub‐field of psychology that started in the 1950s and has continued to grow as an important contributor to formal psychological theory, especially in the cognitive areas of psychology such as learning, memory, classification, choice response time, decision making, attention, and problem solving.
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Mathematical Foundations for Mathematics
The American Mathematical Monthly, 1971(1971). Mathematical Foundations for Mathematics. The American Mathematical Monthly: Vol. 78, No. 5, pp. 463-487.
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