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About 472 pages (141,439 words) in 5 products |
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Encyclopedia and Summary Information

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Hilbert and Formalism Summary
68,831 words, approx. 229 pages Hilbert and Formalism The leading exponent of the formalist philosophy of mathematics was David Hilbert (1862–1943), who pioneered in a development of logic known as proof theory or metamathematics. From the time of his first papers on the...
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Nineteenth-Century Mathematics Summary
68,831 words, approx. 229 pages Nineteenth-Century Mathematics Mathematics in the nineteenth century was characterized by reorganization in every field, effected both by generalization, which led to the viewing of areas once considered discrete as special instances of the same...
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Proof Theory Summary
2,240 words, approx. 8 pages Proof Theory The background to the development of "proof theory" since 1960 is contained in the entry "Mathematics, Foundations of." Briefly, Hilbert's program (HP), inaugurated in the 1920s, aimed to secure the...
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Proof theory Information
1,532 words, approx. 5 pages
 Proof theory is a branch of mathematical logic that represents proofs as formal mathematical objects, facilitating their analysis by mathematical techniques. Proofs are typically presented as inductively-defined data structures such as plain lists,...


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About 472 pages (141,439 words) in 5 products |
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