The Analytic Turn: Analysis in Early Analytic Philosophy and by Michael Beaney

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By Michael Beaney

This assortment, with contributions from prime philosophers, locations analytic philosophy in a broader context evaluating it with the technique of its most vital rival culture in twentieth-century philosophy--phenomenology, whose improvement parallels the improvement of analytic philosophy in lots of ways. The Analytic flip will be of serious curiosity to historians of philosophy commonly, analytic philosophers, and phenomenologists.

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G. by helping to avoid misunderstandings and by opening up new avenues of inquiry. 3 Frege, platonism and reductive analysis Returning to Frege, above we were led to his construction of the natural numbers as equivalence classes of classes. Specifically, he defines the number 0 as the class of all classes equinumerous to {x j x 6¼ x}; the number 1 becomes the class of all classes equinumerous to {x j x = 0}; the number 2, the class of all classes equinumerous to {x j x = 0 or x = 1}; and so on.

Frege is often classified as an archetypical platonist with respect to mathematics. A first way of arriving at such a classification is by taking certain Fregean remarks from Grundlagen very seriously and, in a sense, literally, including the following: ‘For number is no whit more an object of psychology or a product of mental process than, let us say, the North Sea is . . : 107–8). Adding to these Frege’s later comments, in the article ‘The Thought’, about a ‘third realm’ in which, presumably, numbers are to be located (Frege 1997: 337), how could he be interpreted as anything other than a platonist in the strongest possible sense?

Moran illustrates this in section 5 of his paper, in discussing Husserl’s early account of our grasp of the concept of number. Husserl distinguishes the psychic acts that he regards as essential in our coming to grasp the concept of number, such as the intellectual synthesis he calls ‘collective combination’, from the psychic acts that may be involved on particular occasions but are not essential, such as our ability to order things in space and time. After the Philosophy of Arithmetic, Husserl’s attention shifted to the foundations of logic and epistemology, and Moran explains the development of Husserl’s method in the two volumes of his Logical Investigations (1900–1).

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