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portada philosophy of arithmetic
Type
Physical Book
Translated by
Publisher
Language
English
Pages
580
Format
Hardcover
Dimensions
25.2x16.2x3.5 cm
Weight
1.06 kg.
ISBN
1402015461
ISBN13
9781402015465

philosophy of arithmetic

Edmund Husserl (Author) · Dallas Willard (Translated by) · Springer · Hardcover

philosophy of arithmetic - Edmund Husserl

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Synopsis "philosophy of arithmetic"

In his first book, Philosophy of Arithmetic, Edmund Husserl provides a carefully worked out account of number as a categorial or formal feature of the objective world, and of arithmetic as a symbolic technique for mastering the infinite field of numbers for knowledge. It is a realist account of numbers and number relations that interweaves them into the basic structure of the universe and into our knowledge of reality. It provides an answer to the question of how arithmetic applies to reality, and gives an account of how, in general, formalized systems of symbols work in providing access to the world. The "appendices" to this book provide some of Husserl's subsequent discussions of how formalisms work, involving David Hilbert's program of completeness for arithmetic. "Completeness" is integrated into Husserl's own problematic of the "imaginary", and allows him to move beyond the analysis of "representations" in his understanding of the logic of mathematics. Husserl's work here provides an alternative model of what "conceptual analysis" should be - minus the "linguistic turn", but inclusive of language and linguistic meaning. In the process, he provides case after case of "Phenomenological Analysis" - fortunately unencumbered by that title - of the convincing type that made Husserl's life and thought a fountainhead of much of the most important philosophical work of the twentieth Century in Europe. Many Husserlian themes to be developed at length in later writings first emerge here: Abstraction, internal time consciousness, polythetic acts, acts of higher order ('founded' acts), Gestalt qualities and their role in knowledge, formalization (as opposed to generalization), essence analysis, and so forth. This volume is a window on a period of rich and illuminating philosophical activity that has been rendered generally inaccessible by the supposed "revolution" attributed to "Analytic Philosophy" so-called. Careful exposition and critique is given to every serious alternative account of number and number relations available at the time. Husserl's extensive and trenchant criticisms of Gottlob Frege's theory of number and arithmetic reach far beyond those most commonly referred to in the literature on their views.
Edmund Husserl
  (Author)
View Author's Page
Edmund Husserl (1859-1938) was a German philosopher, considered the founder of phenomenology, a philosophical movement that deeply influenced twentieth-century thought. Among his most notable works are Logical Investigations (1900-1901), Ideas Pertaining to a Pure Phenomenology and to a Phenomenological Philosophy (1913), and The Crisis of European Sciences and Transcendental Phenomenology (1936). His writings address the structure of consciousness and experience, laying the groundwork for transcendental phenomenology.

His work influenced figures such as Martin Heidegger and Jean-Paul Sartre, leaving a fundamental legacy in modern philosophy. Husserl explored themes such as intentionality and perception, transforming the way the relationship between the subject and the world is understood.
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